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3 years ago

Y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer:

here's one way: z^x = Y, 7^1 = 7

Y = 7

Step-by-step explanation:

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2 years ago

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Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder

marishachu [46]

Answer:

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

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2 years ago

you and four of your nine classmates received an A on your math test, what is the simplest fraction of students that scored an A

svetlana [45]

4/9 or four/ninths. it cant simplify.

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3 years ago

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Choose the option with the proper number of sig figs

marishachu [46]

$\text{ 2 }\times10^8$

Explanation: $\begin{gathered} \text{Given:} \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1} \end{gathered}$

let's break down the expression to get the final result:

$\begin{gathered} \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = }\frac{9}{4.5}\times\text{ }\frac{10^9}{10^1} \\ \frac{9}{4.5}\text{ = }\frac{9\text{ }\times\text{ 10}}{4.5\text{ }\times\text{ 10}}\text{ = }\frac{90}{45} \\ \frac{9}{4.5}\text{ = }2 \\ \\ \frac{10^9}{10^1}\colon\text{ when we divide exponents with same base, } \\ we\text{ take one of the base and combine the exponents by subtracting them:} \\ \frac{10^9}{10^1}=10^{9-1} \\ \frac{10^9}{10^1}=10^8 \end{gathered}$ $\begin{gathered} \frac{9}{4.5}\times\text{ }\frac{10^9}{10^1}\text{ = 2 }\times10^8 \\ \\ \text{when dividing decimals, }the\text{ least number of }significant\text{ }figures\text{ in the problem}, \\ \text{ }\det ermines\text{ the significant figures in the answer} \\ 9\text{ = 1 significant, 4.5 = 2 significant} \\ \text{The least significant is 1} \\ \\ \frac{9\text{ }\times10^9}{4.5\text{ }\times10^1}\text{ = 2 }\times10^8 \end{gathered}$

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1 year ago

Y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7​

Y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7