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3 years ago

Plsssss help quiz question

Mathematics

1 answer:

mamaluj [8]3 years ago

8 0

Answer:

Work shown below!

Step-by-step explanation:

Number 12a:

$a_{n}=a_{1}+d(n-l)\\ a_{n}=18+5(n-1)\\a_{12}=18+5(12-1)\\a_{12}=18+5(11)\\a_{12}=18+55=73\\$

Number 12b:

$a_{n}=a_{1}+d(n-1)\\a_{n}=-8-6(n-1)\\a_{12}=-8-6(12-1)\\a_{12}=-8-6(11)\\a_{12}=-8-66\\a_{12}=-74\\$

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The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

4 years ago

Find the measure of angle A when two angles are congruent?

erica [24]

m∡A = 70º

1) Considering that the Sum of the interior angles within a triangle is always 180º

2) We can write the following, and solve for x

x+80 + x +80 +40 = 180

2x +160 +40 = 180

2x + 200 = 180

2x =180-200

2x= -20

x=-10

3) So since angle A = x +80, we can plug it into that the value of x

m∡A = x +80º

m∡A=-10+80

m∡A = 70º

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1 year ago

Look at this table:<br><br> Is this relation a function?

ivann1987 [24]

Answer:

No.

Step-by-step explanation:

To be a function, each input (x value) must go to exactly one output (y value). In this instance, the input 5 has an output of -15 and 4. This breaks the rule. Therefore, this relation is not a function.

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3 years ago

Complete the table of inputs and outputs for the given function g(x) = 3 - 8x

NeX [460]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the input and output values are not given. However, the question can still be solved by assuming both values</em>

Given

$g(x) = 3 - 8x$