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3 years ago

Factorx^2 + x - 6, asappp

Mathematics

1 answer:

nalin [4]3 years ago

6 0

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

${x}^{2} + x - 6$

➼ $\: {x}^{2} + 3x - 2x - 6$

Taking $x$ as common from first two terms and 2 from last two terms, we have

➼ $\: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )$

Taking the factor $(x+3)$ as common,

➼ $\: ( \: x - 2 \: )( \: x + 3 \: )$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

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3 years ago

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one ans

ololo11 [35]

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

$f(x)=-x^3+x^2+12x$

And we want to solve for the x- and y-intercepts.

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

$f(x)=-(0)^3+(0)^2+12(0)$

Simplify:

$f(x)=0$

So, the y-intercept is (0,0)

To solve for the x-intercept(s), set the function equal to 0 and solve for x:

$0=-x^3+x^2+12x$

First, factor out a negative x:

$0=-x(x^2-x-12)$

Factor within the parentheses:

$0=-x(x-4)(x+3)$

Zero Product Property:

$-x=0\text{ or } x-4=0\text{ or } x+3=0$

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

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So, our x-intercepts are:

$(-3,0), (0,0), (4,0)$

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3 0

3 years ago

4x-3y=17<br> Y=3x-4<br> Solve by subsition

Fudgin [204]

4x - 3y = 17
y = 3x - 4
(-1, -7)

8 0

3 years ago

The middle school band has a boy to girl ratio of 4:6.

oksano4ka [1.4K]

Answer:

last year 8 boys 12 girls and this year 10 boys 15 girls

Step-by-step explanation:

ratio = 4:6

total ratio = 6 +4 =10

last year

ratio 1 = 20 ÷ 10 = 2

boys = 2 × 4 = 8

girl = 2 × 6 = 12

this year

ratio 1 = 25 ÷ 10 = 2.5

boys = 2.5 × 4= 10

girls = 2.5 × 6 = 15

5 0

3 years ago