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2 years ago

11. Solve the linear inequality.

Mathematics

1 answer:

Mkey [24]2 years ago

7 0

Answer:

Your answer is E

Step-by-step explanation:

Here you go mate

Step 1

-17x+2<-10x-19 Equation/Question

Step 2

-17x+2<-10x-19 Simplify

-7x<-21

Step 3

−7x<−21 Use 7 to divide

answer

So therefore x>3

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2. The direct distance between city A and city B is 200 miles. The direct distance

Misha Larkins [42]

Answer:

Step-by-step explanation:

8 0

2 years ago

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

2 years ago

What is the function to 5c+4=2 (c-5)

Vinvika [58]

To solve the function we proceed as follows:
5c+4=2(c-5)
opening the parentheses we get:
5c+4=2c-10
putting like terms together we get
5c-2c=-10-4
3c=-14
c=-14/3

4 0

2 years ago

Maje a ten or hundred to add mentally

NeTakaya

You can add numbers mentally if there are zero's behind them.

6 0

2 years ago

Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.

olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

$MC(q) = 200*(q+9)^{-5}$

The total cost function is the integrative of the marginal cost function. So:

$TC(q) = \int {MC(q)} \, dq$

$TC(q) = \int {200*(q+9)^{-5}} \, dq$

$TC(q) = -50*(q+9)^{-4} + K$

In which K, the integrative constant, is the fixed cost. So $K = 4000$ .

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

$TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99$

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0

2 years ago