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3 years ago

How do you factor xsquared+2x-63 into two binomials

1 answer:

7 0

X^2+2x-63
(x+9)(x-7)

since x is squared, you immediately know that it multiples itself. (x)(x) is x^2. I used the FOIL method where you do first, outside, inside, last. so the first amount in each parentheses is a x and a x. that equals x^2. then the outside numbers are 7 and a x. That equals-7x. on the inside, I have +9 and x. that is +9x. Lastly, a -9 and -7 is -63. When written out in a number sentence, and combine like terms, you will get your original answer so (x+9)(x-7) is the factored form

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A florist is making blue and white flower arrangements. For the arrangements, he places a red ribbon on every 3rd arrangement an

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The 15th arrangement will have both a blue and red ribbon

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3 years ago

Here's the result of this question

Dafna11 [192]

We have been given that Anil borrows $80 000 to buy a business. The bank gives him a loan, with an interest rate of 2% each year. We are asked to find the total amount paid back by Anil to bank after 10 years.

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 2% into decimal.

$2\%=\frac{2}{100}=0.02$

We have $P=\$80,000$ and $t=10$ , so we will get:

$A=\$80000\left(1+0.02\cdot 10\right)$

$A=\$80000(1+0.2)$

$A=\$80000(1.2)$

$A=\$96,000$

Therefore, Anil will pay $\$96,000$ to the bank after 10 years.

8 0

3 years ago

Line L is mapped onto the line t by a dilation centered at

STatiana [176]

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
The line and its image are parallel
The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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4 years ago

Find the amount in an account if $24,000 is invested at 10.44% compounded annually, for 15 years.

brilliants [131]

Fv=24000(1+10.44%)^15
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3 years ago

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I’ll follow you, but on what?

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3 years ago

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