How is the distributive property used when finding the product of two polynomials?

Answer:

Solutions: (-5, 1), (-10, 1), (-10, 5)

Non-solutions: (0, 4), (5, 4), (10, 4)

Step-by-step explanation:

Solutions are in the shaded area. Non-solutions are in the non-shaded area and on the dashed line.

Solutions: (-5, 1), (-10, 1), (-10, 5)

Non-solutions: (0, 4), (5, 4), (10, 4)

Answer:

To solve for y, we need to isolate it on one side of the equation. Since there is only one term with y in it, we can begin by isolating that term:

7 + 4 + 25 + 6 = 42

42 + 5y - 2 = 40 + 5y

Subtracting 40 from both sides, we get:

2 + 5y = 5y

Subtracting 5y from both sides, we get:

2 = 0

This is a contradiction, which means that there is no value of y that satisfies the equation. Therefore, the equation has no solution.

Answer:

y= [tex]-\frac{12}{47}[/tex]

Step-by-step explanation:

second attachment

The price of the television after the drop in its sales price would be = 1200

The percentage of money that was removed from the cost price for the television = 20%

The original price of the television = 1200

The percentage equivalent of 1200 that is 20 = 20/100×1200/1

= 24000/100

= 240

After the sales 240(20%) is added back to the sale price which show that it remains the same after sales.

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

Company A will charge less than Company B for any mileage greater than 70 miles. For mileages less than 70 miles, Company B will be cheaper. The inequality solved is m > 70.

To determine for what mileages Company A will charge less than Company B, we can set up an inequality with m representing the number of miles driven.

Let's start by finding the total cost for each company based on the number of miles driven:

Company A: $138 (unlimited mileage)

Company B: $75 + $0.90m (where m is the number of miles driven)

To find the mileage for which Company A will charge less than Company B, we need to set up an inequality by equating the total cost for Company A to the total cost for Company B and then solving for m:

138 < 75 + 0.90m

Subtracting 75 from both sides, we get:

63 < 0.90m

Dividing both sides by 0.90, we get:

m > 70

To learn more about inequality click on,

https://brainly.com/question/31083568

#SPJ4

Complete question is:

Latoya is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Company A charges $138 and allows unlimited mileage.

Company B has an initial fee of $75 and charges an additional $0.90 for every mile driven.

For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m .

In an isosceles trapezoid, the diagonals are congruent, so the value of X is 7.

In an isosceles trapezoid, the two angles formed by each leg and a base are congruent, and the diagonals that connect opposite vertices are congruent as well.

An isosceles trapezoid is a four-sided polygon with two parallel sides that are of equal length and two non-parallel sides that are also of equal length. The non-parallel sides are often referred to as the legs of the trapezoid, and the parallel sides are called the bases.

In an isosceles trapezoid, the diagonals are congruent, so we can set KM and JL equal to each other and solve for x:

KM = JL

2x+10 = 5x-11

Subtracting 2x and adding 11 to both sides, we get:

21 = 3x

x = 7

Therefore, the value of x in the isosceles trapezoid is 7.

To know more about trapezoid visit:

https://brainly.com/question/4333941

#SPJ1

A. The equation of the line is expressed as: y = (-5/2)x + 13.

B. The x-intercept of the equation is calculated as: 26/5.

A. We can use the point-slope form of a linear equation:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point, to find the equation of a line passing through the point (4,3) with a slope of -5/2.

Substituting the values, we get y - 3 = (-5/2)(x - 4), which simplifies to y = (-5/2)x + 13 by expanding and adding 3 to both sides.

B. To find the x-intercept of the equation y = (-5/2)x + 13, we set y to 0 and solve for x. 0 = (-5/2)x + 13, which simplifies to x = 26/5 by multiplying both sides by -2/5 and adding (26/5) to both sides.

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

The shaded region of the provided number is 214.5 yards, according to the given statement.

A rectangular shape is an illustration of a trapezoid with proportionate and matched opposite sides. It has four sides, four 90-degree borders, and is shaped like a rectangular. Any shape with only two sides is said to be rectangular.

Calculating Area by Subtracting Area from Two as well as More Regions: To determine the area for combined figures consisting of basic forms that overlap, deduct the area of the unshaded figure from the total area to obtain the area of the shaded region.

For illustration, let's calculate the size of the shaded section in the provided picture.

It is clear from the provided picture that a triangular and a rectangle have overlapped. We must deduct the triangular area from the size of the parallelogram in order to determine the area about the shaded figure. Area of the shaded figure =

Area of the rectangle −

Area of triangle

=l×b−12×b×h

=22×11−12×11×5

=214.5yd2

Hence, the area of the shaded figure is 214.5yd2

To know more about Rectangle visit:

https://brainly.com/question/2607596

#SPJ1

The answer is: "helping to make family changes within the dysfunctional system."

Step-by-step explanation:

While family-based therapies can be effective for treating anorexia nervosa, helping to make family changes within the dysfunctional system is not an immediate goal of treatment for individuals with anorexia nervosa.

The immediate goal of treatment for individuals with anorexia nervosa is to restore their physical health, which includes helping them recover from malnourishment, helping them eat normally again, and helping them regain their lost weight.

Once their physical health is stabilized, additional therapies may be recommended to address the psychological, emotional, and social factors that contribute to their eating disorder, which may include family-based therapies.

To learn more about physical health visit:https://brainly.com/question/13513890

#SPJ11

The admission fee at an amusement park is $4.25 for children and $7.00 for adults. on a certain day, 303 people entered the park, and the admission fees collected totaled 1824 dollars. There are 108 children and 195 adults were admitted

Let the number of children admitted = C and the number of adults admitted = A

Total number of people admitted = 303

We can form two equations from the given information.

The first equation is to represent the number of people admitted in terms of children and adults.

So, the equation will be

C + A = 303 ------(1)

The second equation represents the total amount collected from admission fees.

So, the equation will be

4.25C + 7A = 1824 ------(2)

Multiplying equation (1) by 4.25, we get

4.25C + 4.25A = 1289.25 ------(3)

Subtracting equation (3) from equation (2), we get:

7A - 4.25A = 1824 - 1289.25

Simplifying, we get:

2.75A = 534.75

Dividing by 2.75, we get:

A = 195

Putting A = 195 in equation (1), we get:

C + 195 = 303

Simplifying, we get:

C = 108

So, there were 108 children and 195 adults admitted on that day.

For similar question on Simplification,

https://brainly.com/question/28008382

#SPJ11

See Below

HAVE A NICE DAY !

The table showing the distance traveled by the boat at various times should be completed as follows;

Time (h)                  0      0.5     1      1.5     2     2.5      3

Distance (mi)          0       1        2      3       4      5        6

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/1.5

Constant of proportionality, k = 2.

When x = 0.5, the distance is given by;

y = 2x

y = 2(0.5) = 1 mile.

When x = 1, the distance is given by;

y = 2x

y = 2(1) = 2 miles.

When x = 2, the distance is given by;

y = 2x

y = 2(2) = 4 miles.

When x = 2.5, the distance is given by;

y = 2x

y = 2(2.5) = 5 miles.

When x = 3, the distance is given by;

y = 2x

y = 2(3) = 6 miles.

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The median and mean are two different measures of central tendency that provide different information about a data set. The median is the middle value in a data set, where half of the values are above and half are below. The mean, on the other hand, is the sum of all values divided by the total number of values.

In this case, the median number of reviews is much lower than the mean number of reviews, indicating that there are likely a few very high review counts that are skewing the data towards the higher end. This is because the mean is more affected by extreme values, while the median is not. It is possible that there are a few apps with an extremely large number of reviews, which are driving up the mean.

The mean number of reviews would be significantly higher than the median.

The difference between the median and mean number of reviews can be explained by the fact that some apps have very large numbers of reviews, whereas others have very few. The median is the middle value of the dataset, and does not take into account the outliers, which can have a large effect on the mean. For example, if there is one app with 1 million reviews, the mean number of reviews would be significantly higher than the median.

Learn more about Number of reviews

brainly.com/question/27138685

#SPJ11

Answer:

162°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 20 , then

sum = 180° × (20 - 2) = 180° × 18 = 3240°

The interior angles of a regular polygon are congruent

then each interior angle = 3240° ÷ 20 = 162°

The equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].

Given,

x+2y=2

y = 1 - [tex]\frac{x}{2}[/tex]

Slope = -1/2 = [tex]m_{1}[/tex]

Let Slope of line perpendicular to line x+2y=2 is [tex]m_{2}[/tex]

⇒  [tex]m_{1}[/tex] *    [tex]m_{2}[/tex] = -1

Then [tex]m_{2}[/tex] = 1/2

Equation of line perpendicular is given by

[tex]y = \frac{1}{2}x + c[/tex]

Since it contains point (5,6)

6 = [tex]\frac{1}{2} (5) + c[/tex]

c= [tex]\frac{7}{2}[/tex]

Then the equation of line is:

[tex]y = \frac{1}{2}x+ \frac{7}{2}[/tex].

Therefore, the equation of the line perpendicular to the line QR in slope intercept is y= [tex]\frac{1}{2}x+\frac{7}{2}[/tex].

Learn more about Equations:

https://brainly.com/question/1401516

#SPJ1

Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

The probability of flipping a coin 4 times and getting 4 heads in a row is 0.0625, and the probability of getting a head on the 5th coin flip is 0.5.

The probability of getting a head on the 5th flip is still 50%. This is because each coin flip is an independent event, and each coin flip is not affected by the outcome of the previous coin flips. Thus, the probability of getting a head on the 5th coin flip is 0.5, regardless of the previous 4 coin flips.

To summarize, the probability of flipping a coin 4 times and getting 4 heads in a row is 0.0625, and the probability of getting a head on the 5th coin flip is 0.5.

See more about probability at: https://brainly.com/question/14633532

#SPJ11

The total time that it took the fireman to be ready and aboard the firetruck can be obtained by summing all of the time spent. When summed, the total figure will be 32 seconds.

The total time taken to board the firetruck can be calculated by summing all the time given in seconds. We start by getting the time it took the firefighter to reach the fire pole which is 9.5 seconds.

Next is the time it took him to slide down the pole which is 3.2 seconds. Next is 13.6 seconds for sliding down the pole and 5.7 seconds for climbing aboard. The sum of all these is 32 seconds.

Learn more about summation here:

https://brainly.com/question/542712

#SPJ1

Null hypothesis: No statistically significant relationship between stock splits and the value of shares held

Alternative Hypothesis: Statistically significant relationship between stock splits and the value of shares held

Probability of the shares held being worth

The null and alternative hypotheses are as follows:Null Hypothesis (H0): There is no statistically significant relationship between stock splits and the value of shares held.Alternative Hypothesis (Ha): There is a statistically significant relationship between stock splits and the value of shares held.The probability that the shares held will be worth more after the split can be determined through statistical analysis. The null hypothesis assumes that there is no relationship between stock splits and the value of shares held, while the alternative hypothesis suggests that there is a statistically significant relationship between the two variables.Therefore, the probability of the shares held being worth more after the split is based on the results of the statistical analysis of the null and alternative hypotheses.

Learn more about Probability

brainly.com/question/30034780

#SPJ11

The value of mean should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.

The process mean can be adjusted through calibration. The mean is a measure of central tendency in a dataset that represents the average value of a group of data. The population standard deviation is denoted by σ. The formula for the population mean is as follows: μ = (Σ xi) / n, where xi represents the data values and n represents the total number of data values.

Here we can use the formula of confidence interval as,μ±z σ/√n, Where μ is the mean, z is the z-score, σ is the standard deviation is the sample size. Given,The required confidence level is 99%. So,α = 1-0.99α = 0.01. We can find z from the z-score table at α/2 = 0.005 as, z = 2.576.

Now, we need to find out the value of μ when the mean will be 12 ounces so that 99% of cans will contain 12 ounces or more. So,μ ± z σ/√n = 12. We know that, P(X > 12) = 0.99. The formula for standardization is, Z = (X - μ) / σHere, X = 12, σ is given and we need to find the value of μ.z = (X - μ) / σ2.576 = (12 - μ) / σμ - 12 = 2.576 × σμ = 12 + 2.576 × σ.

Now, the value of μ should be adjusted to 12 + 2.576σ so that 99% of the cans will contain 12 oz or more.

To know more about mean refer here:

https://brainly.com/question/30546599

#SPJ11

The probability that the ball that rolled out of the pit is red is 0.2 or 20%.

Now, let's apply this concept to Jose's ball pit problem. We know that Jose put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. The total number of balls in the pit is therefore:

Total number of balls = 40 + 55 + 45 + 60 = 200

Next, we know that one ball has rolled out of the pit. We want to find the probability that this ball is red. To do this, we need to calculate the probability of selecting a red ball from the total number of balls in the pit.

Probability of selecting a red ball = Number of red balls / Total number of balls

= 40 / 200

= 0.2 or 20%

This means that for every 10 balls that roll out of the pit, 2 of them are expected to be red.

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

By algebra properties, the complete algebraic equation is now described:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5), where a = 7 / 2.

An algebraic equation is shown herein, this expression must completed by filling the blanks. This can be done by clearing a variable through algebra properties:

a · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · (a · x + 5)

a · x² + 3 · a + 14 · x² + 7 · x = 5 · a · x² + 25 · x

(a + 14) · x² + 7 · x + 3 · a = 5 · a · x² + 25 · x

Then, by comparing terms:

a + 14 = 5 · a

14 = 4 · a

a = 14 / 4

a = 7 / 2

The complete expression is introduced below:

(7 / 2) · x · (x + 3) + 7 · x · (2 · x + 1) = 5 · x · [(7 / 2) · x + 5]

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

The probability that exactly 8 of the 19 people in the random sample are employed is 27.93%.

We need to calculate the probability that exactly 8 of the 19 people in the random sample are employed. The probability of a single person being employed is 4%, or 0.04.

To calculate the probability of 8 people being employed out of the 19, we can use the binomial distribution formula:

P(X=8) = nCx * (p^x) * (1-p)^(n-x) Where n = 19, x = 8, p = 0.04, and 1-p = 0.96

So, P(X=8) = 19C8 * (0.04^8) * (0.96^11) = 0.2793 or 27.93%.

Therefore, the probability that exactly 8 of the 19 people in the random sample are employed is 27.93%.

For more such questions on Probability.

https://brainly.com/question/11234923#

#SPJ11

The value of x in the triangle can be found by using the fact that the sum of all angles in a triangle is 180 degrees. Simplifying the equation 142 degrees + 112 degrees + x = 180 degrees, we get x = 26 degrees.

To find the value of x in the triangle, we use the fact that the sum of all angles in a triangle is 180 degrees.

Let's call the third angle of the triangle "x".

Then, we have:

142 degrees + 112 degrees + x = 180 degrees

Simplifying this equation, we get:

x = 180 degrees - 142 degrees - 112 degrees

x = 26 degrees

Therefore, the value of x in the triangle is 26 degrees.

Learn more about triangle here: brainly.com/question/2773823

#SPJ4

The third term of a sequence is 14. Term to term rule is square, then subtract 11. The first term of the sequence is 6.

The given information is about the third term of a sequence which is 14, and the term to term rule is square, then subtract 11.

We have to find the first term of the sequence. The sequence can be calculated using the following formula:

An = A1 + (n-1)d

Where, An is the nth term of the sequence A1 is the first term of the sequence d is the common difference between the terms of the sequence. Let's solve the problem by finding the value of the common difference between the terms of the sequence.

Using the given information, we can write: A3 = 14=> A1 + (3 - 1)d = 14=> A1 + 2d = 14 ----- (i)

Also, the term to term rule is square, then subtract 11.So, we can write, A2 = A1 + d = (A1)² - 11 ---- (ii)

Substituting the value of d from equation (ii) in equation (i),

we get: A1 + 2 [(A1)² - 11] = 14 Simplifying this equation, we get: A1² - 2A1 - 12 = 0 On solving this quadratic equation

we get: A1 = -2 or A1 = 6 Ignoring the negative value of A1, we get the first term of the sequence to be 6.

for such more question on sequence

https://brainly.com/question/7882626

#SPJ11

The probability that a randomly selected firm will earn less than 73 million dollars is 0.9842.

The mean income of firms in the industry for a year is 45 million dollars with a standard deviation of 13 million dollars, we need to find the probability that a randomly selected firm will earn less than 73 million dollars.

We can assume that the income distribution of firms is normal. Therefore, we can use the z-score formula to find the required probability.

We have, z = (X - μ) / σ, where X is the income of the firm, μ is the mean income, and σ is the standard deviation.

z = (73 - 45) / 13

z = 2.15

Using the z-table, we can find the area under the standard normal curve to the left of z = 2.15.

The area to the left of Z-score of 2.15 is 0.984, the probability that a randomly selected firm will earn less than 73 million dollars is 0.9842

Learn more about probability here:

brainly.com/question/16464000

#SPJ11

Triangle ABC and triangle DEF are congruent, according to the Side-Angle-Side (SAS) postulate.

If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent. Congruent sides angles are what these are called.

Triangle ABC must be shown to be congruent with triangle DEF.

By demonstrating that the two triangles have a single pair of congruent sides, we can get started. We can observe that AB and DE are both 6 cm long.

The congruent angle between the two triangles can be demonstrated. As BAC and EDF are both right angles, we can see that they are equivalent.

Thus, according to the Side-Angle-Side (SAS) hypothesis Triangle ABC is consistent with triangle DEF, we can say.

To know more about congruent visit:-

https://brainly.com/question/12413243

#SPJ1

Jessica's position relative to the surface of the water after making 4 additional stops is 45 meters below the surface.Option(A) is correct.

Divers who engage in scuba diving use breathing apparatus that is entirely independent of a surface air source. Christian J. Lambert-sen came up with the moniker "scuba," which stands for "Self-Contained Underwater Breathing Apparatus," in a 1952 trademark application.

Jessica's position relative to the surface of the water can be represented by the following arithmetic sequence:

[tex]$$25, 30, 35, 40, 45$$[/tex]

where the first term is 25 and the common difference is 5 (the distance between each stop).

To find the fifth term (her position after making 4 additional stops), we can use the formula for the nth term of an arithmetic sequence:

[tex]$$a_n = a_1 + (n-1)d$$[/tex]

where [tex]$a_1$[/tex] is the first term, d is the common difference, and n is the term number.

Plugging in the values we know, we get:

[tex]$$a_5 = 25 + (5-1)5 = 45$$[/tex]

Therefore, Jessica's position relative to the surface of the water after making 4 additional stops is 45 meters below the surface.

To know more about Meter visit:

brainly.com/question/22552981

#SPJ1

The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

Learn more about decimal representation:

brainly.com/question/12342812

#SPJ11

[tex]\frac{65x-14x+49-4}{14} = 36[/tex]The value of x is 9.

Inequality refers to a situation where there is a significant difference in the distribution of resources, opportunities, and power among individuals or groups in a society. It is a complex social and economic phenomenon that can manifest in various forms such as income inequality, wealth inequality, gender inequality, racial inequality, educational inequality, and healthcare inequality, among others.

Given by the question.

[tex]\frac{9x+7}{2} - \frac{7x-x+2}{7} = 36[/tex]

[tex]\frac{63x+44-14x+2x+4}{14} = 36[/tex]

[tex]\frac{65x-14x+49-4}{14} = 36[/tex]

[tex]51x+45=504\\51x= 459\\x=9[/tex]

To learn more about inquality:

https://brainly.com/question/29072717

#SPJ1

To find the fraction of the square quilt block that is shaded, we need to count the number of shaded unit squares and divide it by the total number of unit squares in the quilt block. Let us begin by counting the number of shaded unit squares.

We notice that there are a total of 6 unit squares that are shaded. The unit squares that are shaded are the 2 squares that are completely shaded and the 4 squares that are half shaded due to the presence of triangles.

Next, we need to count the total number of unit squares in the quilt block. We notice that the quilt block is made up of 9 unit squares, each of which can be divided into 4 smaller unit squares. Thus, the total number of unit squares in the quilt block is 9 x 4 = 36.

Therefore, the fraction of the square quilt block that is shaded is 6/36 or 1/6.

To summarize, the shaded portion of the quilt block consists of 6 unit squares out of a total of 36 unit squares. Thus, the fraction of the square quilt block that is shaded is 1/6.

For more details about fraction click here:

https://brainly.com/question/10354322#
#SPJ11