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3 years ago

6

Pat has 8 flowerpots, and she wants to plant a different type of flower in each one. there are 10 types of flowers available at

the garden shop. in how many different ways can she choose the flowers? 80 45 1,814,400 90

1 answer:

ankoles [38]3 years ago

8 0

10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400

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Lenders rely on credit scores to determine _____. loan repayment length all terms of a loan risk loan amounts

lara [203]

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

6 0

3 years ago

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:

<u>Question 8</u>

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:

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

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

The function is <u>undefined</u> when the <u>denominator equals zero</u>:

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

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

Therefore, there are <u>vertical asymptotes</u> at x = -15 and x = -5.

<u>Domain</u>: set of all possible input values (x-values)

Therefore, the <u>domain of the given rational function</u> is:

(-∞, -15) ∪ (-15, -5) ∪ (-5, ∞)

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

<u>Question 9</u>

Given function:

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

<u>Domain</u>: set of all possible input values (x-values)

As the <u>square root of a negative number</u> is <u>undefined</u>:

$\implies 13x-7\geq 0$

$\implies 13x\geq 7$

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

Therefore, the <u>domain of the given function</u> is:

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

<u>Range</u>: set of all possible output values (y-values)

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

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

Therefore, the <u>range of the given function</u> is:

[1, ∞)

8 0

2 years ago

Solve the proportion. <br> 16<br> 50<br> =<br> x<br> 156<br> .<br> 25<br> please explain

Natali5045456 [20]

<h2><u>Answer:</u></h2>

x = 50

<h2><u>Step-by-step explanation:</u></h2>

16/50 = x/156.25

<h3>First simplify 16/50 to 8/25</h3>

8/25=x/156.25

<h3>Multiply both sides by 156.25</h3>

1250/25 = x

<h3>Simplify 1250/25 to 50</h3>

50 = x

<h3></h3>

4 0

3 years ago

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. if he has 18 shirts how many pair

Sergeu [11.5K]

Answer:

9

Step-by-step explanation:

he has 2 shirts for 1 pair(s) pants so if you multiply 9 times 2 you get 18 and if you multiply 9 time 1 you get your answer which is 9

5 0

3 years ago

1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31<br> 36<br> O 42<br> O 48

Kruka [31]

The answer is 36 pls mark me brainliest:)

4 0

3 years ago