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3 years ago

Given f(x) = 70 + 11x, find x when f(x) =158

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Answer:

$\huge \boxed{x = 8}$

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

$70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88$

Divide both sides by 11

$\frac{11x}{11} = \frac{88}{11} \\$

We have the final answer as

Hope this helps you

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Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v

disa [49]

Answer:

Option A $V_B=19\ cm^3$

Step-by-step explanation:

The volume of a cone is:

$V_B = \pi\frac{hr ^ 2}{3}$

The volume of a cylinder is:

$V_A = \pi(r ^ 2)h$

Both figures have the same height h and the same radius r.

The volume of the cylinder $V_A = 18\pi\ cm ^ 3$

We want to find the volume of the cone.

Then, we find r and h:

$V_A = 18\pi = \pi(r ^ 2)h$

We simplify.

$V_A = 18 = (r ^ 2)h$

Then the product of $(r ^ 2)h = 18$ .

We substitute this in the cone formula and get:

$V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3$

8 0

3 years ago

Read 2 more answers

What is the value of a in the polynomial

Alexandra [31]

Answer: a= 16

Step-by-step explanation:

We have the following expression:

$(y-4)(y^2 +4y +16)$

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

$(y-4)(y^2 +4y +16)$

until you transform it to the form:

$y^3 +4y^2 +ay -4y^2 -ay-64$

Then we have

$(y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\$

Therefore the value of a in the polynomial is 16

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3 years ago

The segments shown below could form a triangle. 4,3,6 PLZ HELP ASAP

Rzqust [24]

Answer:

Option A. True

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

we have

4,3 and 6

Applying the triangle inequality theorem

case 1) 4+3 > 6 -----> is true

case 2) 3+6 > 4 ----> is true

therefore

The given segments could form a triangle

Is true

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3 years ago

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Paraphin [41]

Answer:

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2 years ago

Why isn’t 10.3 a integer? answer asap pls

Oxana [17]

Answer:

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Step-by-step explanation:

First, you have to know that interests are WHOLE NUMBERS, not fractions.

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3 years ago