2 years ago

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Mathematics

1 answer:

Ksenya-84 [330]2 years ago

3 0

The answer is. f(x) 2x+6

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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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2 years ago

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Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the w

kobusy [5.1K]

Nia will have $250 in the savings account

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3 years ago

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Find the volume of the triangular prism described below.

Luda [366]

The volume of the prism 121.6 cube in.

Step-by-step explanation:

Given,

The base is right angle triangle whose two sides are equal.

So,

Base (b) = 8 in

Another side of right angle triangle (l) = 8 in

Height (h) of the prism = 3.8 in

To find the volume of the prism.

Formula:

V = $\frac{1}{2}$ bhl

Now,

V = $\frac{1}{2}$ ×8×8×3.8 cube in

= 121.6 cube in.

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2 years ago

Keith borrowed $102 from his dad, and he is paying him back $11 each month

cricket20 [7]

Answer:

9.2

Step-by-step explanation:

102/11

i would take him 9.2 months to pay back

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Which values are solutions to the inequality below? <br><br>Check all that apply.

Ronch [10]

You have to plug them in to see each solution, so the answers that apply would be 65 and 66 all the other answers are less than or equal to 8

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3 years ago