Let f(x)=6x+7 and g(x)=8x+2, and find the following <br> (Fog)(-3)<br> Answer please

Hitman42 [59]

Sorry udk jdjsnakksjxhxbebwnwkqkqkkqvut but here u go cat butt hhahahshshwbbansjs nobreally I just need to answer a question to ask one so sorryyyy

7 0

3 years ago

A theater group surveyed 146 audience members after a show and found that 132 of them wanted to see the show again. Find the sta

Sophie [7]

Answer:

0.024

Step-by-step explanation:

Sample size (n) = 146 people

The proportion (p) of people who answered that they would be interested in seeing the show again is:

$p=\frac{132}{146}\\ p=0.9041$

The standard error for a sample of size 'n' and proportion 'p' is:

$SE = \sqrt{\frac{p*(1-p)}{n}}\\SE = \sqrt{\frac{0.9041*(1-0.9041)}{146}}\\ SE=0.024$

The standard error for the sample proportion of audience members who want to see the show again is 0.024.

4 0

3 years ago

A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

What is something that could be true about the value of x

crimeas [40]

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

8 0

3 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$