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3 years ago

Write the number that makes each number sentence true

Mathematics

2 answers:

andrey2020 [161]3 years ago

6 0

Answer: ummmmmmm

Step-by-step explanation: teeeeeheeee

idk

GIBE MEH A TANKS

Alika [10]3 years ago

6 0

Ummmmmmmmmm idont know

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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

PLZ HELP ME ASSAPPP, I will name BRAINLIEST!!

evablogger [386]

Answer:

First picture: 1st choice, -7

Second Picture: Second Choice, f(5)=9

Third Picture: Second Choice, the volume of the basketball when the radius is r

8 0

2 years ago

. The area of a square feild is 100 find the perimeter. د

anastassius [24]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please help i'm so confused

kherson [118]

$\bf \begin{cases}
x=0\implies &(x)=0\\
x=2\implies x-2=0\implies &(x-2)=0\\
x=-5\implies x+5=0\implies &(x+5)=0
\end{cases}
\\\\\\
(x)(x-2)(x+5)=\textit{3rd degree polynomial}$

8 0

3 years ago

Make t the subject of k= t-e/2

Sophie [7]

Answer:

$t=k+\frac{e}{2}$

Step-by-step explanation:

$k=t-\frac{e}{2}\\t=k+\frac{e}{2}$

5 0

2 years ago