Solve equation.
a-7=9

Answer: -6 7/8

Step-by-step explanation:

-2 1/4 - 4 5/8=

(-2 1/4 - 4 5/8)*8/8=     ==> Multiply by 8 since it is the LCM of 4 and 8 and will get rid of denominators

(-16 8/4 - 32 40/8)/8=

(-(16+2)-(32+5))/8=

(-18-37)/8=

-55/8=

-(48+7)/8=-6 7/8

He made the mistake on line 1.

2x^2 - 8x + 5....move the 5 to the other side

2x^2 - 8x = -5....now divide by 2

x^2 - 4x = -5/2

x^2 - 4x + 4 = -5/2 + 4

(x - 2)^2 = -5/2 + 8/2

(x - 2)^2 = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

He made mistake on line 1.

Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

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Answer:

4.12

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

We can see that points A,E, and D form a triangle.

Points A, C, and C also form a triangle.

These two triangles are similar, while [tex]\triangle ACB[/tex] has side lengths twice as long as [tex]\triangle ADE[/tex]. this means that

[tex]2x+2=4x-6\\2x=8\\x=4[/tex]

The mass of the biscuit and fruit are 20 and 64 grams respectively.

A ratio indicates how many times one number contains another.

Therefore, the ratio of fruits and biscuit the zoo fed the monkeys is 7:5.

let's find the total number of the items.

Hence, using the table and ratio,

number of fruits = 7 / 12 × x

number of fruits = 28

Therefore,

28 = 7x / 12

cross multiply

12 × 28 = 7x

336 = 7x

divide both sides by 7

336 / 7 = 7x / 7

x = 48

Hence,

mass of biscuit = 5 / 12 × 48

mass of biscuit = 20

The second missing value of the table,

mass of biscuit = 5 / 12 × x

45 = 5x / 12

5x = 504

x = 504 / 5

x = 108

Hence,

mass of fruit = 7 / 12 × 108

mass of fruit = 756 / 12

mass of fruit = 63

Therefore, the mass of the biscuit and fruit are 20 and 64 grams respectively.

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Answer:yes

Step-by-step explanation:fact

The probability of scoring a goal exactly 8 times by Jon is given by 0.0234. It is obtained using the prerequisite knowledge of binomial distribution and probability.

What is Binomial Distribution in Probability?

When each trial has a probability of occurring equally likely, then the number of trials or observations is outlined using the binomial distribution. The chance of observing a specific number of successful outcomes in a specific number of trials is determined by using the binomial distribution.

Calculation of the probability of the given event

Total no. of possible outcomes, n = 11

The probability that Jon will kick the ball in the net, p(x) = 0.4

The probability that Alex will kick the ball in the net, q(x) = 0.6

Using Binomial Distribution, we get,

P(x = r) = C(n,r) × (p)r × q(n - r)

where x is the score made by Joe

P(x = 8) = C(11,8) × (0.4)8 × (0.6)3

             = 0.0234

Hence, the probability that Jon will score exactly 8 times is 0.0234.

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Kurt organized a bike race that was 84 miles long. All 469 riders completed the race. 39,396 miles were biked in all

Kurt organized a bike race = 84 miles long

All 469 riders completed the race

miles were biked in all :

Total miles =84 Multiply By 469

=39,396 miles

39,396 miles were biked in all

Miles :

A mile is a unit of distance equal to 1760 yards or approximately 1.6 kilometers

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A 84-mile cycling race that Kurt planned took place. The race was completed by all 469 cyclists. All told, 39,396 miles were pedaled

Kurt planned an 84-mile cycling race.

The race was completed by all 469 cyclists.

total number of miles cycled:

Miles total = 84; multiply by 469.

=39,396 miles

All told, 39,396 miles were pedaled

Miles:

Approximately 1.6 kilometers or 1760 yards make up a mile as a unit of measurement.

The expression with rational exponents as a radical expression by extending the properties of integer exponents is, [tex]\sqrt[6]{3}[/tex]

The exponents that should be integers are those that are. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.

Given:

The given expression is,

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6} } }[/tex]

We know that,

[tex]\frac{x^{a} }{x^{b}}= x^{a-b}[/tex]

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}} = 3^{\frac{1}{3}-\frac{1}{6}}[/tex]

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=3^{\frac{1}{6} }[/tex]

Therefore,

[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=\sqrt[6]{3}[/tex]

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The graphs that could be functions from the graphs shown in the question are A and E.

A function is a mathematical rule. We know that a graph is a plot of data on the cartesian coordinates. The cartesian coordinates are x and y. The x axis is the vertical axis while the y axis is the horizontal axis.

Now we can see that there are bout six plots and we need to determine which of the plots does correspond to a function. We shall now look over the graphs to see how they correlate with functions.

It is clear that the graphs that could be functions from the graphs shown in the question are A and E.

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The image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)

The vertices of the triangle are given as:

X(2, 4), Y(6, 0), and Z(7, 2)

The compositions of translations are given as:

Translation: (x, y) → (x + 12, y + 4)

Translation: (x, y) → (x − 5, y − 9)

So, we have:

Translation: (x, y) → (x + 12, y + 4)

X'(2 + 12, 4 +4), Y'(6 + 12, 0 + 4), and Z'(7 + 12, 2 + 4)

Evaluate

X'(14, 8), Y'(18, 4), and Z'(19, 6)

Translation: (x, y) → (x − 5, y − 9)

X''(14 - 5, 8 - 9), Y'(18 - 5, 4 - 9), and Z'(19 - 5, 6 - 9)

Evaluate

X''(9, -1), Y'(13, -5), and Z''(14, -3)

Hence, the image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)

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Answer:

Transformation that result in a change in the size of a figure are called dilations.

The equation representing the inequality is 2·x² + 16·x + 32 ≥ 254

The width of the photo on the cake is x.

The dimensional relationship mentioned between the dimensions of the cake & the photo on the cake mentioned in the question are:

Width of cake = Width of photo + 4 inches

i.e., W = x + 4

And, Length of the Cake is twice the Width of the cake

i.e., L = 2*W

Also, It is mentioned that the Area of the Cake is 254 sq inches.

We know Formula to calculate the Area of a rectangle is :

          =>   Area = Length * Width

          =>   254  ≤ 2*W * (x+4)     =>   254 ≤ 2(x+4)*(x +4)

          =>   2·x² + 16·x + 32 ≥ 254

Hence, The inequality representing this case is 2·x² + 16·x + 32 ≥ 254

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Answer:

-3<x<1

(-3,1)

Step-by-step explanation:

it is shown as (-3,1) because x is anything inbetween -3 and 1 and those numbers are not included so you use ( ) as opposed to [ ]

Answer: for sure

Step-by-step explanation:

Answer: How do you solve age problems in algebra?

If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.

Step-by-step explanation: hope this helpss!!!

3/4 a number b divided by 5 is 15b/4

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction).

3/4 a number b:

=3b/4

Divided by 5:

=3b/4/5

We have to multiply numerator with the dominator by 5 to remove the double fraction:

=3b*5/4

=15b/4

3/4 a number b divided by 5 is 15b/4

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An inequality to determine the minimum number of hours he needs to practice on each of the 2 days 0.835.

Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy - it is shown by individuals' various situations inside the financial conveyance - abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. In order to solve the inequality, the variable should be on one side, without coefficients or constants. Divide to cancel out coefficients and add or subtract to remove constants. Once you have isolated the variable, you have solved the inequality. Approach the inequality as you would an equation. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.

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The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.

A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.

The midpoint is the point on the section that lies halfway between the endpoints.

A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).

Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.

Add all of the y-coordinates together and divide by two to get the y value of the midway.

It is critical to understand that a midpoint is indeed the midpoint of a line segment.

m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.

We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.

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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?

Absolute value equation that has the solutions x=2 and x=9 is |x - 5.5| = 3.5

absolute value equation is |x - 5.5| = 3.5

Generalizations of the absolute cost for actual numbers arise in a huge form of mathematical settings. as an example, an absolute value is likewise defined for the complicated numbers, the quaternions, ordered jewelry, fields and vector spaces. absolutely the price is closely associated with the notions of value, distance, and norm in numerous mathematical and bodily contexts.

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If boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes, then it will take 36 minutes to mow the lawn if both mowing at the same time

Given,

The time taken for the boy to mow a lawn= 90 minutes

The time taken for the sister to mow a lawn= 60  minutes

Work done by the boy in one minute= [tex]\frac{1}{90}[/tex]

Work done by the sister in one minute= [tex]\frac{1}{60}[/tex]

When both mowing at the same time

[tex]\frac{1}{90}+\frac{1}{60}=\frac{1}{36}[/tex]

Then, the time taken when both mowing at the same time = 36 minutes

Hence, if boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes, then it will take 36 minutes to mow the lawn if both mowing at the same time

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Complete the square to write

ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)

The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.

Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF

Pr [X = x] = 1/6

if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.

We want to find

Pr [B² - 4AC = 0]

Note that

B² - 4AC = 0   ⇒   B² = 4AC   ⇒ (B/2)² = AC

which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:

• If B = 2, then AC = 1   ⇒   A = C = 1

• If B = 4, then AC = 4   ⇒   A = 1, C = 4 or A = C = 2 or A = 4, C = 1

• If B = 6, then AC = 9   ⇒   A = C = 3

and there are 6³ = 216 total possible outcomes in the sample space. So,

Pr [B² - 4AC = 0] = 5/216

Answer:

x = 7

y = 3

Step-by-step explanation:

Because the opposite side, Line segment QR, is 11. So, you need to find a number that when multiplied by 2 and then subtracted by 3 is equal to 11.

First, I just guessed, that 7 times 2 is 14, and then minus 3 is equal to 11

Here is how I worked it out:

2x-3=11

2x=14

x=7

8y+5=6y+11

2y=6

y=3

The value of the variable x and y will be 7 and 3, respectively.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The rectangle PQRS is shown.

From the rectangle PQRS, the side PQ and RS are congruent. And the side PS and QR are also congruent.

PQ = SR

6y + 11 = 8y + 5

2y = 6

y = 3

PS = QR

2x - 3 = 11

2x = 14

x = 7

The value of the variable x and y will be 7 and 3, respectively.

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Step-by-step explanation:

Multiply both sides of the equation by 24, the least common multiple of −8,6

−3x=4×12

Multiply 4 and 12 to get 48.

−3x=48

Divide both sides by −3.

x= −3/48

Divide 48 by −3 to get −16.

The answer is x=−16

​

Answer:

1/4*6/2=6/8

3/4

Step-by-step explanation:

Sample correlation B  = R in output = 0.7 The above data is calculated from parameter estimation.

The Pearson correlation coefficient (PCC) is a statistical measure of linear correlation between two data sets. It is also referred to as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation, or simply the correlation coefficient. It is a normalised covariance measurement, with the result always falling between 1 and 1. It is the ratio between the covariance of two variables and the product of their standard deviations. The measure, like covariance itself, can only account for linear correlations between variables and ignores numerous other kinds of connections or correlations.

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The intersection of the sets written in interval notation is -1 ≤ x ≤ 4

Interval notation is a mathematical method or  way of writing subsets of the real number line.

It also helps in telling the part of the number line, from left to right, that is  included in the solution.

Given the sets;

( − 1 , 6 ] ∩ [ − 3 , 4 ]

(-1, 4) is the intersection of the sets

In interval notation, it is written as;

-1 ≤ x ≤ 4

Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4

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Answer:

74 , 138

Step-by-step explanation:

12 + 2 = 14

14 + 4 = 18

18 + 8 = 26

26+16 = 42

42+32= 74

74+64 =138

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