Which choice is equivalent to the quotient shown here when x

Which expression is equal to ....

saul85 [17]

Answer:

the last one is equal to the question....

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

. A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $24,700

lozanna [386]

Answer:

1) P(x) =14400x+10300 2)y=-4x+19 3) $y=\frac{-2x}{3} -14$ 4) x=-11

(Please check the pictures for better understanding)

Step-by-step explanation:

1) Firstly, let's organize the data. Let the dependent variable x be the years, and the Range P(x) the Profit. So arranging these linear functions y=ax+b and plugging the coordinates for each point (1, 24700) and (4, 67900). Goes:

24,700=x+b

67,900=4x +b

1.1)Solving for b, this Linear System of Equation by the Addition Method goes:

$24,700=x+b*(-4)\\67,900=4x+b\\----------\\-98,800=-4x-4b\\67,900=4x+b\\ -----------\\-30900=-3b\\\frac{3b}{3} =\frac{30900}{3}\\ b=10300$

1.2) Now, let's find the slope based on those two points (1, 24700) and (4, 67900) and using the formula to find the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{67900-24700}{4-1}\\ m=\frac{43200}{3}\\ m=14400$

So now we can write this Linear Equation for the Profit:

P(x) =14400x+10300

2) An equation of the line perpendicular to 4y=x-8 has a slope equal to $m_{2}$ =- $\frac{-1}{m_{1}}$ the line. In this case, an equation perpendicular to 4y=x-8 .

Rearranging the given equation of the line 4y=x-8 goes:

$y=\frac{x}{4} -\frac{8}{4} \\ y=\frac{x}{4}-2$

2.1) The slope of this new line is equivalent to m=-4 since -4 is opposite inverse value for the slope of its perpendicular line (1/4).

If the line passes through the point (6,-5), then this point already belongs to this line.

Then, we can write.

-5=-4(6)+b

-5=-24+b

-5+24=-24+24+b

b=19

Now we can write the function:

y=-4x+19

3) Firstly, let's rearrange the equation. Into a General Equation of the Line y=ax+b

2x+3y=5

-2x+2x+3y=5-2x

3y=5-2x

$\frac{3y}{3} =\frac{5}{3} -\frac{2x}{3}$

$y=\frac{-2x}{3}+\frac{5}{3}$

3.2) Let's find out b, the linear coefficient by plugging the coordinates of the point (-3,-8).

Also, Parallel lines have the same value for the slope such as $m_{1}=m_{2}$

-8=-3(-2/3)+b

-8=2+b

-8-2=2-2+b

b=-10

Then the equation of this parallel line is:

$y=\frac{-2x}{3} -10$

4) Now on this last question, we have to find an equation of the line through the point (-11,-4) perpendicular to another line y=15

Suppose the slope of the first line is $m_{1}$ and the value of the slope of its perpendicular is $m_{2}=\frac{-1}{m_{1}}$

y=15 is a horizontal line with slope equals zero, we can rewrite it as y=0x+15.

Then the slope is zero for horizontal lines.

A perpendicular line to a horizontal line is a vertical one.

In addition to this, a vertical line passes through only one point in the x-axis. Then, there is no horizontal variation. This leads the formula of a slope to an undefinition for Real Set.

$m=\frac{y_{2}-y_{1}}{0}$

The only perpendicular line which passes through the point (-11,-4) to y=15 is the line x=-11.

7 0

3 years ago

The Gonzalez family went to dinner at the Pizza Parlor. Mr. Gonzalez ordered a small pizza for $7.65. Mrs. Gonzalez ordered a ca

madam [21]

Answer:

Rational form:

399/100 = 3 + 99/100

Continued fraction:

[3; 1, 99]

Possible closed forms:

399/100 = 3.99

log(54)≈3.988984

8/(3 π) + π≈3.9904190

1/2 (e! + 1 + e)≈3.989551

-(sqrt(3) - 3) π≈3.983379

(14 π)/11≈3.9983906

25/(2 π)≈3.978873

(81 π)/64≈3.976078

(2 e^2)/(1 + e)≈3.974446

(π π! + 2 + π + π^2)/(3 π)≈3.988765

2 π - log(4) - 3 log(π) + 2 tan^(-1)(π)≈3.987955

2 - 1/(3 π) + (2 π)/3≈3.988291

Step-by-step explanation:

7 0

3 years ago

Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2

anzhelika [568]

Answer:

600 ft³

Step-by-step explanation:

Given the scale factor 1:4, we know that the smaller prism will be 4 times smaller than the larger prism.

We can calculate the volume of the smaller prism by dividing 2,400 by 4.

2,400/4 = 600

7 0

4 years ago

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Even if a treatment has an effect, it is still possible to obtain a sample mean after the treatment that is very similar to the

vlada-n [284]

Answer:

Step-by-step explanation:

Hello!

Suppose that the objective of the experiment is to test if a certain treatment modifies the mean of the population of interest.

If for example, the treatment is "new fertilizer" and the population of interest is "yield of wheat crops"

Then you'd expect that using the new fertilizer will at least modify the average yield of the wheat crops.

The hypotheses will be then

H₀: μ = μ₀

H₁: μ ≠ μ₀

Where μ₀ represents the known average yield of wheat crops. (is a value, for this exercise purpose there is no need to know it)

We know that the treatment modifies the population mean, i.e. the null hypothesis is false.

The sample we took to test whether or nor the new fertilizer works conducts us to believe, it does not affect, in other words, we fail to reject the null hypothesis.

Then we are in a situation where we failed to reject a false null hypothesis, this situation is known as <em><u>Type II error</u></em>.

I hope this helps!

4 0

4 years ago

Which choice is equivalent to the quotient shown here when x > 0