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4 years ago

If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?

Mathematics

1 answer:

bazaltina [42]4 years ago

7 0

(f+g)(x) = f(x) + g(x) = (|x| + 9 ) + (-6) =

|x| + 9 - 6 = |x| + 3

Answer is |x| + 3

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A house painter has an annual income of $35,000 and paid $2,500 in income tax. What percent of her income is the income tax?

almond37 [142]

Answer:

The 7.14% of her income is the income tax .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A house painter has an annual income of $35,000 and paid $2,500 in income tax.

Here

Part value = $2500

Total value = $35000

Put in the formula

$Percentage = \frac{2500\times 100}{35000}$

$Percentage = \frac{250000}{35000}$

$Percentage = 7.14\ (Approx)$

Therefore the 7.14% of her income is the income tax .

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3 years ago

The function y = x * ln(x + e) has two distinct x intercepts. One is at x = a and the other is at x = b. The value of a + b is

Snezhnost [94]

As points, x-intercepts take the form $(x,0)$ , so to find the intercepts we can set $y=0$ and solve for $x$ .

$x\ln(x+e)=0\implies\begin{cases}x=0\\\ln(x+e)=0\end{cases}$

From the first equation alone, we already know that $x=0$ is a solution, which means one intercept is $(0,0)$ .

The second equation gives

$\ln(x+e)=0\implies e^{\ln(x+e)}=e^0\implies x+e=1\implies x=1-e$

so that the second intercept occurs at $(1-e,0)$ .

So if $a=0$ and $b=1-e$ , we have $a+b=1-e$ , giving C as the answer.

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3 years ago

If a triangle has three angles that add up to 180 degrees angle a is 20 angle b 50 how much is angle c?

Scorpion4ik [409]

50+20=70
180-70=110°
angle c= 110°

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3 years ago

there are two boxes. in the first box there are 7 cards numbered from 1 tp 7 the second box also contains 7 cards from 1-7 pick

mrs_skeptik [129]

Answer:

$\frac{6}{49}$

Step-by-step explanation:

GIVEN: There are two boxes. in the first box there are $7$ cards numbered from $1$ to $7$ the second box also contains $7$ cards from $1-7$ pick one card from each box.