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Flura [38]
3 years ago
12

Simplify (x-5)(x^2-2x-6)

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms

= x³ - 7x² + 4x + 30

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The measure of an angle is 6 less than 5 times its complement. what is the measure of its complement
ra1l [238]
Measure of angle is 6 less than 5 times its complement,
Equation is:
A= 5 x (90 - A) - 6
Solve for A.
A=5(90-A)-6
A=450-5A-6
Add 5A to both sides
6A=444
A=74°
Now the complementary angle=90°-74° =16°


Answer: 16°
8 0
3 years ago
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Wave erosion causes a certain coastline to recede at a rate of 3 centimeters each year. This occurs uninterrupted for a period o
Lostsunrise [7]

Answer:

24 cm

Step-by-step explanation:

Given that:

Rate at which coastline recedes per year = 3cm

Recede rate occurred uninterrupted for 8 years ; how far will the coastline recede in 8 years :

3cm per year for 8 years

Hence,

3cm * 8

= 24 cm

The coastline would have recede for 24cm in 8 years

4 0
3 years ago
Can someone help me with these math problems please? I need it done by tonight if someone can please help me by then...I'll make
kotegsom [21]

Answer:

For question 3, you would just add 2 to the x values and subtract 2 from the y values, so it would be:

J' (-2, 5)

K' (2, 6)

L' (1, 2)

M' (-3, 1)

For question 4 you would subtract 7 from the x values and 6 from the y values, and that would be:

W' (-6, 1)

X' (-1, -1)

Y' (-3, -6)

Z' (-8, -4)

For question 9 you would end up with:

X' (6, -5)

Y' (7, 1)

Z' (4, 0)

For question 10 you would end up with:

Q' (-1, 2)

R' (1, 7)

S' (-2, 6)

T' (-4, 1)

For question 11 you would end up with:

L' (4, 1)

M' (8, 5)

N' (6, 7)

P' (2, 3)

For question 12 you would end up with:

G' (6, -7)

H' (6, -4)

I' (1, -7)

Hope this is what you were looking for!

 

Step-by-step explanation:


4 0
3 years ago
The price of an item has been reduced by 40%. The original price was $50. What is the price of the item now?
Serhud [2]

Answer:

12.5

Step-by-step explanation:

40% is 0.4. 0.4 is 1/4. 1/4 * 50 is 12.5

8 0
3 years ago
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You are renting a car for the day. There is a daily fee of $10 and a charge of $0.50 per mile. Your budget allows a maximum tota
Masteriza [31]

Answer:f(x) = .3x + 100

Step-by-step explanation:

3 0
3 years ago
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