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3 years ago

I’m stuck on these 2 please need help on this

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Yea it’s a or d but I think d

Schach [20]3 years ago

3 0

Answer: i think it's either a or d

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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

1 year ago

Can anyone please help me with these math problems up to 22 and 26 :D that's all I need

fiasKO [112]

22) 2*16=32
32-6=26
23)15*1/5=3
24)45*1/5=9
25)7*2=14
14+8=22
26)1/5^2=1/25
1/25*50=2

3 0

3 years ago

What is 75% out of a number?

Whitepunk [10]

Will be c plus im notnrjrjror

4 0

3 years ago

Which is Bigger?

igomit [66]

A)
$43\%=\frac{43}{100} \\ \\
\frac{24}{60}=\frac{4}{10}=\frac{40}{100} \\ \\
43>40 \Rightarrow \frac{43}{100} > \frac{40}{100} \Rightarrow 43\% > \frac{24}{60}$

43% is bigger.

b)
$\frac{18}{30}=\frac{6}{10}=\frac{60}{100} \\ \\
0.51=\frac{51}{100} \\ \\
60>51 \Rightarrow \frac{60}{100} > \frac{51}{100} \Rightarrow \frac{18}{30} >0.51$

18/30 is bigger.

3 0

3 years ago

Which variable expression represents the word phrase?

aleksley [76]

12 + (9 ÷ y)

this is your answer

4 0

2 years ago

Read 2 more answers