A manufacturer determines that the number of drills it can sell is given by the formula
− 4p 60p 05 , where is the price of the drills in dollars and D is the number of 2 + 1 − 3 = D p
drills it sells.
a) At what price will the manufacturer sell the maximum number of drills?
b) What is the maximum number of drills that can be sold?

Answer:

$18.90

Step-by-step explanation:

Multiply the original price by the percentage

$21 x 10% = $2.10

You then subtract this from the original to get the discounted price

$21 - $2.10 = $18.90

Answer:

60r+70

Step-by-step explanation:

If you distribute the 10 to 6r and 7 you would get 60r and 70. Thats what I got

Answer: 60r+70

Step-by-step explanation:

=(10) (6r+7)

=(10) (6r)+(10) (7)

=60r+70

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

divide by 7

y=-5/7x-21/7

simplify

y=-5/7x-3

Hope this helps! :)

Answer:

b

Step-by-step explanation:

Answer:

X= -10

Step-by-step explanation:

This is the answer wait I will show u the steps

Answer:

[tex]let \: the \: inverse \: of \: f(x) \: be \: m \\ m = {f(x)}^{ - 1} \\ m = {(4x + 12)}^{ - 1} \\ m = \frac{1}{(4x + 12)} \\ m(4x + 12) = 1 \\ 4x = \frac{1}{m} - 12 \\ x = \frac{1}{4m} - 3 \\ therefore \\ g(x) = \frac{1}{4x} - 3[/tex]

Answer:

g(x) = 1/4 x -3

Step-by-step explanation:

f (x) = 4 x + 12

g(x) = f⁻¹(x)

step 1: re-write as linear equation     y = 4x+12

step 2: swap x and y       x = 4y + 12

step 3: solve y     4y = x - 12      y = 1/4 x -3

step 4: inverse notation: f⁻¹(x) = 1/4 x - 3   i.e. g(x) = 1/4 x -3

Answer:

please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.in/question/14506690

Answer:

45

Step-by-step explanation:

Do prime factorization and multiply the factors the two numbers have in common.

Answer:

$1.37 unit rate

*this answer was rounded*

Step-by-step explanation:

Answer:

489

Step-by-step explanation:

Answer:

the answer is 489 I hope it helps.

Answer:

4a(a+b−c)Step-by-step explanation:

4a

2

+4ab−4ca

The common factor =2×2×a

Thus, 4a

2

+4ab−4ca

=4a(a+b−c)

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

Answer:

-10

Step-by-step explanation:

Find f(x) = - x^2 + 2x first

f(3) = -(3)^2 + 2(3)

f(3) = - 9 + 6

f(3) = - 3

Now do f(3) - 7

f(3) - 7 = - 3 - 7

f(3) - 7 = - 10

Answer:

Step-by-step explanation:

a) the points (0,60)  and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)

we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m  which is the slope of the line .. down 10

use the point-slope formula  y-y1 = m(x-x1) and plug in either given point for (x1,y1)

b) y -60 = -10(x-0)

y= -10x+60

thats the slope-intercept form of the equation

Answer:

[tex](0,60) = = > the \: vertical \: displacement \: of \: the \: automobile (y-intercept) \\ (6,0) = = > the \: horizontal \: displacement \: of \: the \: automobile (x-intercept) \\ equation \\ y = mx + c \\note = > m = \frac{(0 - 60)}{(6 - 0)} \\ m = - 10 \\ consider \: point \: (6,0) \\ from \: y = mx + c \\ substitute \: for \: y \: and \: x \\ 0 = (m)(6) + c \\ 0 = ( - 10 \times 6) + c \\ 0 = - 60 + c \\ c = 60 \\ substitute \: for \: c \: in \: y = mx + c \\ y = - 10x +60 \\ 10y = - x + 6[/tex]

Answer:

False

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 6

Step 2: Write Function

Substitute into general form.

y = 2x + 6

Step 3: Compare

2y = 6x does not equal y = 2x + 6

Answer:

the two numbers are 8 and 8

Answer:

The 2 numbers for the sum are 9 and 10

Answer:

I think its 61.3

Step-by-step explanation:

dont be mad if its wrong. also 10 has one zero so you move the decimal place once to the right

Answer:

B

Step-by-step explanation:

Rise is 4/3x means that the point (4,3) will be on the line, and b is the only one which has (4,3).

Which line has a constant of proportionality between y and x (Slope) of 4/3?

4/3 = slope = rise over run

(Rephrase) Which line has a slope of 4/3? Go up 4 over 3 from the origin (since there is no y-intercept)

Only B goes up 4 and over 3 (has the slope of 4/3)

Answer: B

Answer:

8????? I dont really know.....

Answer:

tje gorilla weights 240 lb

Answer:  240 pounds

Work Shown:

(body mass)/(amount eaten) = (body mass)/(amount eaten)

(24 lb body mass)/(4 lb eaten) = (x lb body mass)/(40 lb eaten)

24/4 = x/40

6 = x/40

x/40 = 6

x = 40*6

x = 240

The gorilla has 240 pounds of body mass.

Answer:

Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

Step-by-step explanation:

Cost of one container of slime = $5

Cost of Uber = $10

We need to write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Total cost = Cost of slime containers + Cost of Uber

Total Cost = 5s+10

So, the required equation is: [tex]Total\: Cost = 5s+10[/tex]

Now, we need to find What is Johnny's total cost if he buys 17 containers of slime, including the Uber ride?

We have s= 17

So, the cost of buying 17 containers of slime and Uber ride will be:

[tex]Total\: Cost = 5s+10\\Put\:s=17\\Total\: Cost = 5(7)+10\\Total\: Cost = 35+10\\Total\: Cost = 45[/tex]

So, Total cost will be $45 if he buys 17 containers of slime, including the Uber ride.

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation: did it help? plz like if did

Answer: 1. 3x^2(-x^2-3x+5). 2. (2x-7)(5x^2+3)

Step-by-step explanation:

(1) Find the greatest common factor - 3x^2. Simplify as much as possible.

(2) Split 10x^3 - 35x^2 and 6x-21 into two separate groups. Factor each group separately to get 5x^2(2x-7) and 3(2x-7). The numbers in the parentheses should be the same for each group - (2x-7). Take the numbers outside of the parentheses and put them together to get (5x^2+3). Your final answer will be (2x-7)(5x^2+3).

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

"A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables."

"The factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

There are six different methods to factorizing polynomials. One of those methods is factorization of a polynomial by grouping method."

1. The given polynomial is

[tex]-3x^{4} - 9x^{3} + 15x^{2} \\= - 3x^{2}(x^{2}+3x-5)\\[/tex]

Therefore, by factorizing the given polynomial, we get:

[tex]- 3x^{2}(x^{2}+3x-5)[/tex].

2. The given polynomial is

[tex]10x^{3}-35x^{2} +6x-21[/tex]

We need to factorize it using grouping method.

Therefore,

[tex]10x^{3}-35x^{2} +6x-21\\= 5x^{2}(2x-7)+3(2x-7)\\= (5x^{2} +3)(2x-7)[/tex]

Hence,

1. The required factor of the polynomial is

(-3x²)(x²+3x-5).

2. The required factor of the polynomial using grouping method, the answer is (5x²+3)(2x-7).

Learn more about the factorization of a polynomial here: https://brainly.com/question/10499871

#SPJ2

Answer:

The actual map distance would be 160 miles. when we multiply 0.5 by 16 we get 8 miles to find the actual distance for the map we need to multiply by 16 as well.

Hope it helps :)

Step-by-step explanation:

Answer:

7 1/2 divided by (4 1/2 - 5 1/8)=-12

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!

Answer is -12

Answer:

If you are solving for y: y=12/5+2/5x

If you are solving for x=1

Step-by-step explanation:

Answer:

14°

Step-by-step explanation:

Sum of angles is 180°

57 + 73 + (4x - 6) = 180

130 + 4x - 6 = 180

4x = 180 - 130 + 6

4x = 56

x = 14°