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3 years ago

7

Victor is ordering pizzas for a party. He would like to have 1/4 of a pizza for each guest. He can only order whole pizzas, not

part of a pizza. If he expects 27 guests, how many pizzas should he order? (NEED ANSWER ASAP!)

1 answer:

scoundrel [369]3 years ago

3 0

Since everyone is getting a quarter of a pizza, 27 divided by 4 is 6.75. 6.75 rounded to a whole number is 7.

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Write an equation in slope intercept form for the line with slope -7 and y intercept 9

zysi [14]

Slope intercept form is y = ax + b, where a is equal to the slope value, and b is equal to the y-intercept.

You have both the slope and y-intercept, which means that all you need to do is plug in the numbers to the equation in order to get your answer!

Let's plug in -7 for a, which gives you y = -7x + b.

Next, we'll plug in the y-intercept, which gives you y = -7x + 9.

Hope this helps!! :)

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3 years ago

Suppose f(7) = 5, f'(7) = 8, g(7) = 3, and g'(7) = 4. Find h(7) and h'(7), where h(x ) = 4f (x) + 3g(x).

dusya [7]

Answer:

h(7) = 29

h'(7) = 44

Step-by-step explanation:

If $h(x) =4f(x)+3g(x)$ , to find h(7) we can substitute the values of f(7) and g(7) and we get:

$h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29$

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that $h'(x)=4f'(x)+3g'(x)$ , we can substitute the values for f'(7) and g'(7)

$h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44$

7 0

3 years ago

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x

makvit [3.9K]

Answer:

$f(x) = 15x - 200$

Step-by-step explanation:

Given

$Earnings = \$10$ per hour for 40 hours, weekly

$Additional\ Hour = \$15$ per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

$f(x) = 400 + (x - 40) * 15$

$f(x) = 400 + 15x - 600$

$f(x) = 15x - 600 + 400$

$f(x) = 15x - 200$

8 0

2 years ago

The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

navik [9.2K]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
\\
\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
\\
\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

5 0

3 years ago

Lalo has 1,500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minut

IrinaVladis [17]

Answer: The answer is 715 minutes left.

Step-by-step explanation:

What you do is 1500 - 785= 715

You can double check by adding 715 to 785 + and that equals = 1500 the same ting so I am correct

4 0

3 years ago