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Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

$\frac{x {}^{3} - 3x {}^{2} - 10x {}^{2} + 30x + 4x - 12 }{x - 3 } \\ \frac{x {}^{2} \times (x - 3) - 10x \times (x - 3) + 4 \times (x - 3) }{x - 3} \\ \frac{(x - 3)(x {}^{2} - 10x + 4 )}{x - 3} \\ x {}^{2} - 10x + 4$

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Help please (will chose brainliest).

lara [203]

Answers with Explanation.

i. If we raise a number to an exponent of 1, we get the same number.

${10}^{1} = 10$

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

${10}^{2} = 10 \times 10 = 100$

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

${10}^{3} = 10 \times {10}^{2} = 10 \times 100 = 1000$

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

${10}^{4} = 10 \times {10}^{3} = 10 \times 1000 = 10000$

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.

${10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000$

${10}^{5} = 100000$

vi. Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$
We apply this law of exponents to obtain,

${10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}$

vii. We apply
${a}^{ - m} = \frac{1}{ {a}^{m} }$
again to obtain,

${10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000}$

5 0

3 years ago

Jillian wants her rectangular garden to cover an area

oksian1 [2.3K]

Answer:

15 feet by 12 feet or 10 feet by 18 feet

Step-by-step explanation:

3 0

3 years ago

The women’s world record high jump is 6 feet, 10 ¼ inches. What is the record in meters? Record your answer to the nearest hundr

valina [46]

2.08. If you want to round, then it will be 2.09.

Hope this helps! ;)