i need help please and thank youthere are 2 pictures bc i couldn’t get it all in 1!

In order to determine the corresponding graph to the given function f(x), consider the y-intercept of the function (the value of the y-coordinate of the curve when x = 0).

The y-intercept is the value of f(x) for x= 0. Replace x = 0 into the given function:

Then, the point of intersection of the curve with the y-axis is (0 , 7/2) or (0 , 3.5).

You can notice that from the given answer choices, that option two (up right side) has the required y-intercept. Then, that graph matches with the given function.

We solve as follows:

*We determine first the slope (m), that is:

Now, using the slope and one point of the line, we replace in the following expression:

We can use any point of the line, but I will be using the point (1, 1), that is:

Now, we solve for y:

Solution:

The real weight is 10kg;

But the digital scale reports 8.975kg.

Thus;

Accuracy refers to the closeness of the measure to the real value, while precision, in this case, refers to the level of significant figures that the scale report.

The fact that the scale reports the number with 4 significant figures means that it is very precise, but we still observe that the report is not so close to the real value, thus, it means that the scale is not accurate.

FINAL ANSWER: A. The scale is precise but not accurate

Solution

Step 1

Rearrange the equation

Step 2

factorise the equation

Hence by factorization, the answer is

x^2(2x^2 - 9) = 0

Consistent dependant system- System B: It has infinite number of solutions, in this case, the graphs of the lines are the same.

Consistent independent system- System C: It has exactly one solution. In this case, both lines cross each other at exactly one point.

Solution : (-2,-2)

Inconsistent: System A.

When a system has no solution, lines never cross each other.

Given:

The cost of five pounds of sugar is $4.05.

Explanation:

To determine the amount of sugar that individual get for 1 dollar, divide 4.05 by 5.

Divide 4.05 by 5 to determine the amount of sugar individual get per dollar.

Using the normal distribution, it is found that the measures are given as follows:

a) Proportion with less than 125 mg/dl: 0.16.

b) Percentage between 200 and 225 mg/dl: 2.35%.

The z-score of a measure X of a variable that has mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the cholesterol levels are given as follows:

[tex]\mu = 150, \sigma = 25[/tex]

The proportion below 125 mg/dl is the p-value of Z when X = 125, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (125 - 150)/25

Z = -1

Z = -1 has a p-value of 0.16, rounded with the Empirical Rule, which is the proportion.

The proportion with cholesterol levels between 200 and 225 mg/dl is the p-value of Z when X = 225 subtracted by the p-value of Z when X = 200, hence:

X = 225

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (225 - 150)/25

Z = 3

Z = 3 has a p-value of 0.9985.

X = 200

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (200 - 150)/25

Z = 2

Z = 2 has a p-value of 0.975.

0.9985 - 0.975 = 0.0235 = 2.35%, which is the percentage.

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Answer:

4u + 6 > 30

4u > 24

u > 6

Solution is u = 6

Answer:

4u+6>30

4u>30-6

4u>24

u>6

Answer:

u>6

Let 'x' represents the cost of the ticket for an adult, and 'y' be the cost of a child's ticket.

Andrew's family spend 410 on two adult tickets.

From the above expression,

Thus, the cost of an adult ticket is 205.

Given that the Max's family spend 375 for 3 tickes, and two of them is for childrens.

Thus, the cost for tickets for the childrens is 85.

$225,The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments.

The term "instalment payments" describes a client paying a bill over a set period of time in incremental amounts. Start billing for nothing. A payment schedule agreed upon by the buyer and seller is known as installment payments. Typically, it is mentioned unequivocally in a contract's or invoice's payment terms.

one of a series of regular loan, debt, or other payment installments; also, the system of monthly payments: This kind of installment payment is not subject to an additional cost.

An installment is a portion or segment of something, such as the most recent episode of your favorite TV show or the installment you pay each month toward your credit card debt.

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The formula to find the mean of a data set is:

So, in this case, we have:

Therefore, the mean of the given data set rounded to two decimal places is 28.27.

The sample standard deviation formula is:

So, in this case, we have:

Therefore, the sample standard deviation of the given dataset rounded to two decimal places is 10.76.

The standard deviation is the square root of the variance. Thus, the formula to find the variance of a sample is,

So, in this case, we have:

Therefore, the sample variance of the given dataset rounded to two decimal places is 115.68.

The population standard deviation formula is:

So, in this case, we have:

Therefore, the population standard deviation of the given dataset rounded to two decimal places is 10.14.

the product of 12 and 3 decreased by 6​

we have that

the product of 12 and 3 ------> is number 12 multiplied by 3

12*3

decreased by 6​

12*3-6=36-6=30

We have to find the value of x for which f(x) has a minimum.

Extreme values of f(x), like minimum or maximum values, correspond to values of its derivative equal to 0.

In this case f'(x) = 0 for x = -2 and x = 0.

We can find if this extreme value is a minimum if the second derivative f''(x) is greater than 0.

In this case, f'(x) = 0 and f''(x) > 1 for x = 0.

Then, x = 0 is a local minimum.

Answer: x = 0

Solution:

There is 2 possibility for the first letter from the left.

Then there are 2 possibilities for the second letter. Then and so on till the 5-th letter.

In this way, you will get

Each is unique, and each is achievable in this way.

There are no other arrangements. So that, we can conclude that the correct answer is:

Answer:

Step-by-step explanation:

Solve this situation with the help of the number line, if B and C are sets of real numbers defined as follow:

The intersection is an interval that lies within all of the given intervals. If no such intersection exists then the set is empty.

In this case, for the intersection between B and C:

For the union between B and C:

We are asked to find out the values of sine 60° and sine 30°

Recall from the trigonometric ratios,

From the given triangle,

With respect to angle 60°, the opposite side is 25√3 ft and the hypotenuse is 50 ft.

Let us substitute these values into the above sine ratio

So, the value of sine 60° is √3/2

From the given triangle,

With respect to angle 30°, the opposite side is 25 ft and the hypotenuse is 50 ft.

Let us substitute these values into the above sine ratio

So, the value of sine 30° is 1/2

Therefore, the sine of 60ﾟ angle is √3/2 and the sine of 30ﾟ angle is 1/2

The volleyball travelled a total distance of 10 meters

From the question, the given parameters are

Initial height = 8 meters

Height of bounce = 2 meters

The expression of the total distance is represented as

Total distance = |-8| + 2

Remove the absolute symbol

Total distance = 8 + 2

Evaluate the sum

Total distance = 10

Hence, the total distance travelled by the volleyball is 10 meters

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The correct answer is angle 90 degrees.

Explanation:

The tangent of angle 90 degrees is undefined.

The cost of the discounted football after applying the tax is $18.48

Discount:

Discount refers the difference between the price paid for and it's par value. Discount is a sort of reduction or deduction in the cost price of a product.

Given,

A sporting goods store charges $22.00 for a football before tax. The store holds a sale that marks all prices down by 20% before tax.

Here we need to calculate the cost of the discounted football after the tax of 5%.

We know that the cost of the football is $22.00 before tax.

So, if we apply the discount of 20% on it , then the cost of the foot ball is,

Discount = 22 x 20/100

Discount = 4.4

So, the cost of the foot ball after discount is,

=> 22 - 4.4

=> 17.6

Now, we have to apply the tax 5% on it, then we get,

=> 17.6 x 5/100

=> 17.6 x 0.05

=> 0.88

Therefore, the cost of the discounted football after the tax of 5% is.

=> 17.6 +0.88

=> 18.48

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In order to know how much he budgeted annually for each expense, we need to multiply each month budget by 12:

annual budget for electricity: 12 * 315 = 3780

annual budget for gas: 12 * 238 = 2856

So, the total annual budget was:

3780 + 2856 = 6636

On the other hand, his real expenses for that year were:

3950 + 3055 = 7005

Then, to find how much less he budget than he needed, we can find the difference between those two values:

7005 - 6636 = 369

Therefore, the last option is correct.

Answer:

h(x-1) = - 4x + 7

Explanation:

To find h(x - 1), we need to replace x by (x-1) on h(x). Then:

Therefore, h(x-1) = - 4x + 7

Answer:

0.3 recurring

Step-by-step explanation:

3x+4<5. -4

3x<1. ÷3

×<0.333

The coordinate of point X which is 5/6 of the distance between P and Q is 5/11

Here, we want to calculate the coordinates of point X which is 5/6 of the distance between P and Q

Mathematically, we can use the internal division formula.

In this case, the coordinates of y is 0 in all cases

So the coordinates of P is (-5,0) while the coordinates of Q is (7,0)

Now, the coordinates of X divides the line PQ in the ratio 5 to 6

Using the internal divison formula, we have;

In this case however, we are going to focus on the x-axis part of the question since the values of y at all points is 0

m , n are the division values which are 5 and 6 respectively in this case

x2 is 7 while x1 is -5

Substituting all of these, we have;

So the coordinate of point X which is 5/6 of the distance between P and Q is 5/11

The number of hours (time) after which both Remi and Pam would be exactly 15 miles apart is 3 hours.

First of all, we would have to determine the amount of distance (d) covered by both Remi and Pam.

Mathematically, the distance covered (traveled) by a physical body (object) can be calculated by using this formula:

Distance = speed × time

For the distance covered (traveled) by Remi, we have:

r = 3 × t

r = 3t.

For the distance covered (traveled) by Pam, we have:

p = 4 × t

p = 4t.

Also, the amount of distance (d) covered by both Remi and Pam forms a right-angled triangle as they both jogged East and South respectively. Therefore, there distances can be modeled by Pythagorean theorem:

d = r² + p²

Substituting the parameters into the formula, we have;

15² = 3t² + 4t²

225 = 9t² + 16t²

225 = 25t²

Dividing both sides by 25, we have:

t² = 225/25

t² = 9

t = √9

Time, t = 3 hours.

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Calculate:

The fractional exponent can be written as:

The square root of 81 is 9, thus:

Answer:

Coefficients are 6 and 4. The exponents are 3 and 1.

Step-by-step explanation:

The coefficient of a term is the number next to variable, the number that the variable is multiplied by.

Remember that if you are subtracting by a term, you are adding the "negative" term.

Meaning:

6x³ - 4x = 6x³ + (-4x)

The exponent of a term is the power (the little number on top). When the exponent (power) is not shown, it is just 1.

Meaning:

-4x = -4x¹

Solution:

Given:

Stephanie is correct. Because:

Thus, the proof shows that two pairs of corresponding angles and the included sides are congruent.

The break-even point=30, The cost of producing x units of tile =6900$, revenue from the sale of x units of tile at the break-even point=6900$.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Revenue is the total amount of money made from the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

The manager of a small company that produces roof tile has determined that the total cost in dollars, C(x), of producing x units of tile is given by C(x) = 200x + 900, while the revenue in dollars, R(x), from the sale of x units of tile is given by R(x)=230x.

C(x) = 200x + 900

R(x)=230x

200x+900=230x

30x=900

x=30

C(x)=200*30+900

=6900

R(x)=230*30=6900

30 is the break-even point; At the break-even point, the cost of producing 30 units of tile is $6900, and the revenue from those sales is $6900.

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Answer: $79 and percentage is 36%

Parallel lines have the same slope.

In this case, the slope of the line is 3/5.

Then, any line that satisfies y=3/5*x+C, being C any constant, is parallel to our line.

Then, when C=0 for example, we have the line y=3/5*x that is parallel and goes through the center of coordinates (0,0).

Graphically, we can see that they a re parallel:

Answer: y = 3/5*x + C, with C=constant. There are infinte solutions if no other restriction is made, so for example y=3/5*x is parallel to y=3/5*x-2.