Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.

Determine the slope and the y-intercept of the line represented by the equation y= -7/3×+3 slope: 7/9 ;y-intercept: 3 slope: 9/7

Mademuasel [1]

Answer:

$slope ⟹ \: - \frac{7}{9} \\ y \: intercept⟹ \: 3$

Step-by-step explanation:

The standard form of this equation is

$y = mx + c \\$

m stands for the gradient or the slope, and c represents the y-intercept

$y = mx + c \\ y = - \frac{7}{9} x + 3 \\ m = - \frac{7}{9} \: \\ and \: \\ \: y \: intercept \: = 3$

7 0

2 years ago

Math......... I need

o-na [289]

Answer:

She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.

(I hoped I made sense, and that I helped!:)

8 0

3 years ago

Can someone pls help me

Sophie [7]

Answer:

e

Step-by-step explanation:

If you divide 36 by 12, you get 3.

For this to work, whatever the white wax is, it needs to be 3 times as more as 5.

5x3=15

5 0

3 years ago

Read 2 more answers

A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x, where q is the q

Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

$\frac{x D'(x)}{D'(x)}$

$= \frac{x (-17)}{943 - 17x}$

$= \frac{17x}{943 - 17x}$

Elasticity expression = $E(x) = \frac{17x}{943 - 17x}$

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

$E(x) = \frac{17x}{943 - 17x}$

$1 = \frac{17x}{943 - 17x}$

Cross multiply:

$943 - 17x = 17x$

Collect like terms

$17x + 17x = 943$

$34x = 943$

$x = \frac{943}{34}$

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

$\frac{17x}{943 - 17x} > 1$

Cross multiply:

$17x > 943 - 17x$

Collect like terms

$17x + 17x > 943$

$34x > 943$

$x > \frac{943}{34}$

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

$\frac{17x}{943 - 17x} < 1$

Cross multiply:

$17x < 943 - 17x$

Collect like terms

$17x + 17x < 943$

$34x < 943$

$x < \frac{943}{34}$

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

$x = \frac{943}{17}$

$x = 27.74$

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0

3 years ago

What is the logarithmic form of 9² = 81?

Scorpion4ik [409]

Answer:

9*9=81

(if it is wrong i am sorry!)

8 0

3 years ago