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3 years ago

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Mathematics

1 answer:

Harman [31]3 years ago

5 0

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

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5 Find 6 in Surface Area

iVinArrow [24]

Answer:

8 x 6 = 48

48 divided by 2 = 24

24 x 2 = 48

10 x 12 = 120

120 x 2 = 240

8 x 12 = 96

Add all given areas:

48 + 96 + 240 = 384 in2 is your answer.

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3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

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3 years ago

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iren2701 [21]

It is 5,250. 35% percent of 15,000 is 5,250 which is the answer

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3 years ago

Read 2 more answers

George and Riley are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges.

worty [1.4K]

The cost of small box of oranges is $7.

The cost of large box of oranges is $13.

Step-by-step explanation:

It is given that,

3 small boxes of oranges and 14 large boxes of oranges for a total of $203.

11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

Let us take,

The cost of small box of oranges = x
The cost of large box of oranges = y

The system of equations are framed as :

3x + 14y = 203 ---------(1)

11x + 11y = 220 ---------(2)

To solve these equations for x and y values :

Multiply equation (1) by 11 and equation (2) by 3

Subtract eq(2) from eq(1),

33x + 154y = 2233

- (33x + 33y = 660)

121 y = 1573

⇒ y = 1573 / 121

⇒ y = 13

∴ The cost of large box of oranges is $13.

Substitute y=13 in the eq(1),

⇒ 3x + 14(13) = 203

⇒ 3x + 182 = 203

⇒ 3x = 203 - 182

⇒ 3x = 21

⇒ x = 21 / 3

⇒ x = 7

∴ The cost of small box of oranges is $7.

7 0

3 years ago

Write the slope-intercept form of the equation of the line through the given points.

serious [3.7K]

Answer:

Slope: 1

Y-intercepts : (0,0)

Step-by-step explanation:

Y= x

7 0

3 years ago