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alexira [117]
3 years ago
9

Solve the inequality. x – 1 ≤ – 9

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

X\leq -8

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Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6? r Superscript 42 StartFraction 1 Over r Sup
vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Given information-

The given expression in the problem is,

[(r)^{-7}]^5

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

(x^a)^b=x^{ab}

Using the power rule of the exponents given expression can be written as,

[(r)^{-7}]^6=(r)^{-7\times 6} &#10;

[(r)^{-7}]^6=(r)^{-42}

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}

Hence the expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

8 0
2 years ago
Read 2 more answers
In an orchard, there are 18 apple trees, 23 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?
Nikitich [7]

Answer:

18:23

Step-by-step explanation:

18:23 (cannot be simplified further as there is no common factor)

7 0
2 years ago
Read 2 more answers
There was 1500ml of orange juice in the carton. Molly used 1/4litre at breakfast. How much orange juice was left in the carton.?
emmasim [6.3K]

Answer:

1250ml

Step-by-step explanation:

1/4litre=250ml

1500-250

5 0
3 years ago
(7t-2)-(-3t+1)=-3(1-3t)
Aleksandr-060686 [28]
First you need to multiple minus in second bracket, also in other side you need to multiple - 3 in bracket

7t - 2 + 3t - 1 =  - 3 + 9t \\  \\ 10t - 3 =  - 3 + 9t \\ 10t - 9t =  - 3 + 3 \\ t = 0
Final answer is 0
5 0
3 years ago
If Sam bought a wagon for $50:00 and he paid 10% sales tax. How much did Sam pay for the wagon?
insens350 [35]
Sam would have paid 55 dollars.  Since the sales tax is 10%, you would find 10% of 50, which is 5.  Then add five to the 50 dollar wagon price to find the total cost of 55 dollars.
8 0
3 years ago
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