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3 years ago

5. Naomi was watching a game show where

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

C) 50

Step-by-step explanation:

This is because -10 x 5 = -50 and if you have 20 points to start with, you just do 20-(-30)=20 and two minuses make a plus so it is 20 + 30 which is 50.

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The product of a nonzero rational number and an irrational number

mrs_skeptik [129]

Since irrational numbers are forever going, multiplying any nonzero rational number with an irrational number will make the product irrational as well

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3 years ago

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One city's highest temperature during this passed summer was 34 degrees Celsius, a second city's highest temperature over

PtichkaEL [24]

Answer:

$\°F = 93.2$

City 2 has a higher temperature

Step-by-step explanation:

Given

$\°F = (\°C * 9/5) + 32$

$City\ 2 = 97\°F$

Required

Convert 34°C to °F

Substitute 34 for C in the above formula:

$\°F = (34 * 9/5) + 32$

$\°F = 61.2 + 32$

$\°F = 93.2$

Comparing 93.2 to City 2's temperature of 97; we can conclude that city 2 has a higher temperature

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3 years ago

How do you simplify numbers with exponents

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You write it out then you’ll get the exponent

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3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

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3 years ago

What is the equation for the line of reflection A. X=6 B. Y=6 C. Y=x D. Y=2

PilotLPTM [1.2K]

Answer:

x = 6

Step-by-step explanation:

The line of reflection is x = 6.

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3 years ago