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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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10/2i?<br>(dividing complex numbers)​
Lostsunrise [7]

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

5 0
3 years ago
Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after
enot [183]

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

3 0
3 years ago
What is the slope of the line y = -2?
Verdich [7]

Answer:

0

Step-by-step explanation:

There is no x, therefore there is no slope.

4 0
3 years ago
Through: (3,3), parallel to y=8/3x+5
pshichka [43]

Answer:

(0,5)

Step-by-step explanation:

5 0
3 years ago
A soda machine takes 3 seconds to fill a 15-ounce cup. If t represents the time in seconds, which equation can you use to find h
Svet_ta [14]

Information we know:

a 15 ounce cup takes 3 second to fill

determine variables:

x=3

y=15

rate:

y/x=3/15= 0.2

fixture an equation:

y=kx

y=0.2x

plug in 40 for x:

y=0.2(40)

=8

Thus, it should take 8 seconds to fill a 40-ounce cup of soda.

8 0
3 years ago
Read 2 more answers
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