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3 years ago

For the function of F defined by f (x) = x + 8. what is the value of x when f (x) = 10

Mathematics

1 answer:

melomori [17]3 years ago

7 0

Answer:

x = 2

Step-by-step explanation:

f(x) = x + 8

f(x) = 10

10 = x + 8

minus 8 from the both sides

10 - 8 = x

2 = x

x = 2

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4

Ivanshal [37]

Answer:

$x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Step-by-step explanation:

$x=4\sqrt{3},\:x=-4\sqrt{3}$

Considering the expression

$x^2\:-\:48$

Solving

$x^2-48=0$

$x^2-48+48=0+48$

$x^2=48$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{48},\:x=-\sqrt{48}$

Solving

$x=\sqrt{48}$

= $\sqrt{2^4\cdot \:3}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

= $\sqrt{3}\sqrt{2^4}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}$

$\sqrt{2^4}=2^{\frac{4}{2}}=2^2$

$=2^2\sqrt{3}$

$=4\sqrt{3}$

So,

$x=4\sqrt{3}$

Similarly,

$x=-\sqrt{48}=-4\sqrt{3}$

Therefore, $x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

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9 0

3 years ago

Read 2 more answers

How can find the estimate of the sum of the two fractions

vodka [1.7K]

Answer:

To make a high estimate for the sum of two fractions, find the commnon denominator and add them.

Step-by-step explanation:

To make a high estimate for the sum of two fractions in a word problem, rhe following steps are required.

Let the two fractions be represented as and

To perfrom the operation +

Step 1 : Check if the denominators of the fraction are same. If so then, then add the numerators directly by keeping the same denominator.

Step 2: If the denominators are different, then find the common denominator between the fractions and multiply them accordingly. Then perform the addition operation.

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2 years ago

One roll of carpet covers 900 square feet. how many rolls of carpet would be needed for a room that is 40ft. x 60ft.?

harina [27]

3 rolls of carpet

the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up

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3 years ago

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30) (19, 15), (5,11)<br> find the slope of the line through each pair points

Tema [17]

Answer:

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