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2 years ago

Using the relation in Part B, what is the value of x if f(x) = 99?

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

4 0

I hope this answer helps

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What is a bar graph ?

Gre4nikov [31]

Answer:

a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

Step-by-step explanation:

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2 years ago

What is the reciprocal of 13/14

Vesna [10]

Answer:

14/13

Step-by-step explanation:

the reciprocal is the fraction upside down.

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2 years ago

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Express the function as the sum of a power series by first using partial fractions. f(x) = 8 x2 − 4x − 12 f(x) = ∞ n = 0 find th

alexandr1967 [171]

I'm guessing the function is

$f(x)=\dfrac8{x^2-4x-12}=\dfrac8{(x-6)(x+2)}$

which, split into partial fractions, is equivalent to

$\dfrac1{x-6}-\dfrac1{x+2}$

Recall that for $|x|$ we have

$\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

With some rearranging, we find

$\dfrac1{x-6}=-\dfrac16\dfrac1{1-\frac x6}=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n$

valid for $\left|\dfrac x6\right|$ , or $|x|$ , and

$\dfrac1{x+2}=\dfrac12\dfrac1{1-\left(-\frac x2\right)}=\displaystyle\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n$

valid for $\left|-\dfrac x2\right|$ , or $|x|$ .

So we have

$f(x)=\displaystyle-\frac16\sum_{n=0}^\infty\left(\frac x6\right)^n-\frac12\sum_{n=0}^\infty\left(-\frac x2\right)^n$

$f(x)=\displaystyle-\sum_{n=0}^\infty\left(\frac{x^n}{6^{n+1}}+\frac{(-x)^n}{2^{n+1}}\right)$

$f(x)=\displaystyle-\sum_{n=0}^\infty\frac{1+3(-3)^n}{6^{n+1}}x^n$

Taken together, the power series for $f(x)$ can only converge for $|x|$ , or $-2$ .

6 0

2 years ago

Which rule describes the translation? (x, y) → (x – 8, y – 3) (x, y) → (x – 3, y 8) (x, y) → (x 8, y – 3) (x, y) → (x 3, y 8)

s2008m [1.1K]

Answer:(x, y) → (x + 8, y – 3)

The answer is C took the test

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2 years ago

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While on vacation mr accordino drove 210 miles on 6 gallons of gas. How many gallons will his car use for a 280 mile drive

Slav-nsk [51]

210 ÷ 6 = 35 miles to the gallon
280 ÷ 35 = 8 gallons for 280 miles

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3 years ago