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lesya [120]
3 years ago
15

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to

Mathematics
1 answer:
Vlada [557]3 years ago
6 0
The answer is If you would like to find the expression that is equivalent to (t*s)(x), you can calculate this using the following steps:

s(x) = x - 7
t(x) = 4x^2 - x + 3

(t*s)(x) = t(s(x)) = t(x - 7) = <span>4(x - 7)^2 - (x - 7) + 3 = 4(x - 7)^2 - x + 7 + 3

The correct result would be </span>4(x – 7)2 – (x – 7) + 3.
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The square of the sum of two consecutive natural numbers is greater than the sum of the squares of these two numbers by 112. fin
Verdich [7]
We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0; 
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
3 0
3 years ago
The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers a
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Answer:ratio is 14:54 = 42:B. Beavers = 162

Step-by-step explanation:

4 0
3 years ago
What is the reciprocal of 6/9​
neonofarm [45]

Answer:

<h2>9/6</h2>

Step-by-step explanation:

Remember that, to find the reciprocal of a fraction, just swap the numbers. So the reciprocal of 6/9 is 9/6.

3 0
3 years ago
Read 2 more answers
Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort. How muc
STatiana [176]

Answer:

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Step-by-step explanation:

Volume is the combination of 2 volumes

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So the volume is:

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3 years ago
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If AC=18x-7,find the x. Round to the nearest hundredth if necessary <br>AB=7x+29 <br>BC=30​
Margaret [11]

Answer:

x=6

Step-by-step explanation:

AC = AB + BC

18x-7=(7x+29)+30

18x-7=7x+29+30

18x-7=7x+59

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18x-7+7=7x+59+7

18x=7x+66

Subtract 7x from both sides:

11x=66

Divide both sides by 11:

\frac{11x}{11}=\frac{66}{11}

x=6

6 0
3 years ago
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