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Elanso [62]
3 years ago
5

Mark's cell phone provider charges a monthly fee of $24.95 and $0.10 per each text message (t) sent or received. The total month

ly cost of Mark's cell phone service is represented by the expression: 24.95 + 0.10t
What would be the monthly cost in a month where he sent or received 80 text messages in all?
Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

Step-by-step explanation:

the answer is 25.00 hope this helps

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Which expression demonstrates the distributive property applied to the expression 4(3 + 7)
GREYUIT [131]
4(3 + 7)

= 4(3) + 4(7)  //Demonstrating distributive property

= 12 + 28

=  40
7 0
3 years ago
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marissa [1.9K]
I believe #7 is D
#8 B
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8 0
3 years ago
What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2​
tangare [24]

The product is 104 x^{4}+16 \sqrt{30} x^{4}

Explanation:

The given expression is \left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2

Expanding the expression, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)

Now, we shall apply FOIL, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}

Simplifying the terms, we have,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}

Multiplying, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}

Adding the like terms, we get,

\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}

Thus, the product of the given expression is 104 x^{4}+16 \sqrt{30} x^{4}

7 0
3 years ago
Given h(x)=-x-4, solve for x when h(x)=4
Brilliant_brown [7]

Step-by-step explanation:

h(x)=-x-4

but h(x)=4

4=-x-4

x=-4-4

x=-8

5 0
3 years ago
Complete the recursive formula of h(n). ​
aev [14]

Answer:

h(n) = h(n - 1) - 13

Step-by-step explanation:

Given

h(n) = - 13n, then

h(1) = - 13 × 1 = - 13 and

h(n) = h(n - 1) - 13 with h(1) = - 13

6 0
3 years ago
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