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3 years ago

8

Frank can buy red pens in boxes of 8 and blue pens in boxes of 10. He wants the same number of red pens as blue pens. Fill in th

e least
number of pens of each color Frank must buy to have an equal number of each color
pens

1 answer:

Anarel [89]3 years ago

8 0

Answer:

Frank must buy 2 pens to have equal number of each pens

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What are the terms in the expression 7x + 4y + 1?

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There are 3 terms : 7x , 4y, and 1.
a term is separated by any math symbol
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3 years ago

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Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

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2 years ago

Write the number 5 million 4 thousand three hindered in standard form

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Answer:

The ans is 5004300

In standard form,

5004300. Five Millon four thousand and three hundred.

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Step-by-step explanation:

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2 years ago

A patient with end-stage kidney disease has nine family members who are potential kidney donors. How many possible orders are th

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Answer: 504

Step-by-step explanation:

When we select r things from n things in a order , we use permutations.

Formula for permutation: $^nP_r=\dfrac{n!}{(n-r)!}$

Given : The number of family members who are potential kidney donors. = 9

Number of people needed to be selected for best match, a second-best match, and a third-best match ( in an order)=3

Then, the number of possible orders are = $^9P_3=\dfrac{9!}{(9-3)!}$

$=\dfrac{9\times8\times7\times6!}{6!}=504$

Hence, the number of possible orders 504.

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3 years ago

dlinn [17]

Step-by-step explanation:

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