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2 years ago

What system of equations is shown on the graph?

Mathematics

1 answer:

lakkis [162]2 years ago

8 0

Blue: y = 1/2x - 2
Orange: y = -2x - 4

Answer:
B) x - 2y = 4 and 2x + y = -4

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a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the

frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

Solution:

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

Find and interpret C(90)

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0

2 years ago

-6-5

Dmitry [639]

Answer: A

Step-by-step explanation:

Following the first two steps of the sequence of transformations,

$A(-4,-2) \longrightarrow (-2,-1) \longrightarrow (-2,1)$

We need to map this onto D(1,1), which involves a translation 3 units right.

4 0

2 years ago

What are the factors of 13m-2n

Lelechka [254]

the first term 13m has TWO factors 13 and m
the second term 2n has TWO factors 2 and n

3 0

3 years ago

Read 2 more answers

Rewrite the function in intercept form y=x^2+8x+15

gavmur [86]

To do that, you need to set it all to zero and factor: x^2+8x+15 = 0 (x+5)(x+3) = 0 then put both those in parentheses chunks in their own equations x + 5 = 0 x + 3 = 0 and then simplify x = -5 x = -3 So the two points where the parabola crosses the x-axis are -5 and -3.

3 0

3 years ago

Suppose that α and β are the angles of a triangle. It is known that: 58°≤α≤59° and 102°≤β≤103°. Find the possible values of the

IceJOKER [234]

The possible values of the third angle are from 18° to 20°

Step-by-step explanation:

The sum of the measures of the angles in any triangle is 180°

The given is:

1. α and β are two angles of a triangle

2. 58° ≤ α ≤ 59°

3. 102° ≤ β ≤ 103°

Assume that the third angle is Ф

∵ α + β + Ф = 180°

- Subtract α + β from both sides

∴ Ф = 180 - (α + β) ⇒ (1)

∵ 58° ≤ α ≤ 59°

∵ 102° ≤ β ≤ 103°

- Add the two inequalities

∴ 160° ≤ α + β ≤ 162°

- By substituting α + B = 160 in equation 1

∴ Ф = 180 - 160

∴ Ф = 20°

- By substituting α + B = 162 in equation 1

∴ Ф = 180 - 162

∴ Ф = 18°

- Put Ф in the form of inequality

∴ 18° ≤ Ф ≤ 20°

The possible values of the third angle are from 18° to 20°

Learn more:

You can learn more about triangle in brainly.com/question/3617539

#LearnwithBrainly

5 0

2 years ago