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3 years ago

!NUMBER 4! please help!! show all work please

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

C. 88

Explanation:

f(x) = 4x + 8 || g(x) = x² + x

fg( -5 )

go from right to left in such function problems.

replace x with [ -5 ]

f( (-5)² -5)

f(20)

[ replace x with 20 ]

4(20) + 8

80 + 8

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Find the surface area of the prism.

Fed [463]

What do you mean I need to see the prism ??

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3 years ago

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

3 years ago

URGENT PLEASE convert y = -5/6x -9 to standard slope form

SpyIntel [72]

Answer:

6y + 5x = -54

Step-by-step explanation:

y = m x + b -> slope-intercept form

ax + by = c -> standard form

$y = - \frac{5}{6} x - 9$

6y = -5x - 54

6y + 5x = -54

3 0

3 years ago

Rewrite the following quadratic functions in intercept or factored form. Show your work.

Vlad [161]

Answer:

y = (2x + 3)(2x + 3) = (2x + 3)²

Step-by-step explanation:

We are given a quadratic function and we have to write it in factored form.

y = 9 + 12x + 4x²

y = 4x² + 12x + 9

We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:

y = 4x² + 6x + 6x + 9

Taking 2x common from the first two variables and 3 from the second two

y = 2x(2x + 3) + 3(2x + 3)

Taking 2x+3 common

y = (2x + 3)(2x + 3) = (2x + 3)²

3 0

3 years ago

Read 2 more answers

In a survey of 1,003 adults concerning complaints about restaurants, 732 complained about dirty or ill-equipped bathrooms and 38

Ganezh [65]

Answer:

$0.716 < p < 0.744$

$0.3498 < p < 0.4089$

With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at a

and that

the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at b

Step-by-step explanation:

From the question we are told that

The sample size is $n = 1003$