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3 years ago

Match each equation with its solution.1.2.3.4. a. b. c. d.

Mathematics

2 answers:

cupoosta [38]3 years ago

6 0

Well I think it's b that's what I tjink

ArbitrLikvidat [17]3 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

well the answer is because

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8. What is the domain of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D%20%2B20x%2B75%7D" id="TexFormula1" title

antiseptic1488 [7]

Answer:

8. Domain: (-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

9. Domain: [7/13, ∞)

Range: [1, ∞)

Step-by-step explanation:

Question 8

Given rational function:

$f(x)=\dfrac{x}{x^2+20x+75}$

Factor the denominator of the given rational function:

$\implies x^2+20x+75$

$\implies x^2+5x+15x+75$

$\implies x(x+5)+15(x+5)$

$\implies (x+15)(x+5)$

Therefore:

$f(x)=\dfrac{x}{(x+15)(x+5)}$

Asymptote: a line that the curve gets infinitely close to, but never touches.

The function is undefined when the denominator equals zero:

$x+15=0 \implies x=-15$

$x+5=0 \implies x=-5$

Therefore, there are vertical asymptotes at x = -15 and x = -5.

Domain: set of all possible input values (x-values)

Therefore, the domain of the given rational function is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

---------------------------------------------------------------------------------

Question 9

Given function:

$f(x)=\sqrt{13x-7}+1$

Domain: set of all possible input values (x-values)

As the square root of a negative number is undefined:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

$\implies x\geq \dfrac{7}{13}$

Therefore, the domain of the given function is:

$\left[\dfrac{7}{13},\infty\right)$

Range: set of all possible output values (y-values)

$\textsf{As }\:\sqrt{13x-7}\geq 0$

$\implies \sqrt{13x-7}+1\geq 1$

Therefore, the range of the given function is:

[1, ∞)

8 0

2 years ago

Write each fraction or mixed number as a decimal. Use bar notation if needed. Please help and thank you.

11Alexandr11 [23.1K]

You can use your calculator to divide it out and find that

$-\dfrac{8}{11}=-0.\overline{72}$

or, you can make use of your knowledge of the decimal equivalent if 1/11 (=0.90909...) and multiply that by -8 to get -0.727272... as above.

5 0

3 years ago

Shade an equivalent fraction

Rainbow [258]

Answer:

sorry I don’t have a notebook on me right now , hope I could help

Step-by-step explanation:

3 0

4 years ago

What is the value of x? A 160° 95" A. 359 B. 60° C. 155° D. 250

Svetradugi [14.3K]

Answer:

The value of x is 25°.

Here is your solutions too.

4 0

3 years ago

Read 2 more answers

Please help! Will mark as brainliest!

Juliette [100K]

Answer:

Step-by-step explanation:

Use elimination by multiplying thw whole top equation by 2. (both sides)

then cancel out y and solve for x. plug back in to get y

please mark brainliest if you found this helpful

6 0

3 years ago

Read 2 more answers