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Reika [66]
3 years ago
8

Which of the following statements correctly uses the distributive property?

Mathematics
1 answer:
Softa [21]3 years ago
6 0

Step-by-step explanation:

9(-7 + 6) = 9(-7) + 9(6)

Hope it help !

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State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle
DENIUS [597]

Answer:

The interval notation for the domain is [\frac{23}{3},\infty  ].

Step-by-step explanation:

Consider the provided information.

It is given that \:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7

We need to find the value of f\left(g\left(x\right)\right).

Put the value of g(x) in  f\left(g\left(x\right)\right).

f\left(g\left(x\right)\right)=f(x-7)  ....(1)

Now, put x=x-7 in \:f\left(x\right)=\sqrt{3x-2}

\:f\left(x-7\right)= \sqrt{3(x-7)-2}

\:f\left(x-7\right)= \sqrt{3x-21-2}

\:f\left(x-7\right)= \sqrt{3x-23}

From equation 1.

f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}

The domain of the function is the set of input values for which a function is defined.

Here, the value of 3x-23 should be greater or equal to 0 as the square root of a negative number is not real.

Domain= 3x-23\geq0

x\geq\frac{23}{3}

The value of x is all real number greater than \frac{23}{3}.

Hence, the interval notation for the domain is [\frac{23}{3},\infty  ].

7 0
3 years ago
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
jonny [76]

Answer:

The answer to the equation is 48.

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The department store where you work is having a sale. every item is to be marked down 15%. what will the sale price of a $152 co
Aleks [24]
<span>0.150 x $152 = $22.80.
</span>
$152 - $22.80 = $129.20

The cost of the coat would be $129.20
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The quickest answer is to take the number 72 and divide it by the rate of interest. In this case, it would take approximately 72/6, or 12 years to double.

Step-by-step explanation:

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Solve the equation<br> -2x +8 = -10<br><br> x/-5 + -15 = -22
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Answer to first one is X = 9
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