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4 years ago

3(5x - 2) - 6x = 3(3x + 2)

Mathematics

1 answer:

kap26 [50]4 years ago

8 0

9x-6=9x+6
9x-9x=6+6
x=12

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Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

<u>ANSWER: </u>

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

<u>SOLUTION:</u>

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

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3 years ago

Omar deposits $8000 into an account pays simple interest at a rate of 3% per year. how much interest will be paid in the first 5

forsale [732]

The amount of interest that will be paid in the first 5 years is $120.00

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3 years ago

What are the coefficients in the expression 4x - 7y + 5 ?

3241004551 [841]

Answer:

4 and -7

Step-by-step explanation:

a coefficient is a number that is being multiplied with a variable (ex:5a) in this case the coefficients are 4 and -7

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3 years ago

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Jacob earned $80 babysitting and deposited the money into his savings account. The next week he spent $85 Lon video games. Use i

nexus9112 [7]

After one week, Jacob has earned $80 from babysitting, so his change is an increase of $80. The next week, he spends $85, so he experiences a decrease of $85. Over the two weeks, his overall change is $80-$85=-$5, or a decrease of $5.

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3 years ago

Find the area.. of the figure below...

RoseWind [281]

Answer:

Step-by-step explanation:

rectangle 8

triangle 6

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3 years ago