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3 years ago

Given the function f(x)=4x^8+7x^7+1x^6+1 What is the value of f(−2)?

1 answer:

7 0

f(x)=4x^8+7x^7+1x^6+
∴ f(-2)=4(-2)^8+7(-2)^7+1(-2)^6+1
∴ f(-2)=(4x256) + (7x-128) + (1x64) +1
∴ f(-2)=1024 - 896 + 64 +1
∴ f(-2)= 193

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What is the solution to the following equation? (4 points) 2(3x − 7) + 18 = 10

konstantin123 [22]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*(3*x-7)+18-(10)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2 • (3x - 7) + 18) - 10 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

6x - 6 = 6 • (x - 1)

Equation at the end of step 3 :

6 • (x - 1) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 6 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

One solution was found :

x = 1

7 0

3 years ago

Read 2 more answers

Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?

Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

$T = E + P$

$4P = E + P$

$E = 3P$

Now we find the time.

$E = P*0.04*t$

$3P = P*0.04*t$

$0.04t = 3$

$t = \frac{3}{0.04}$

$t = 75$

It takes 75 years for the investment to quadruple in value

7 0

2 years ago

(please zoom / zoom out if needed to see question. (: )

Ne4ueva [31]

Its easy there are 6 sides that are equal so, 6 x 6 is 36 and thats the awnser, 36 your welcome!!!!! Hope this helps

4 0

3 years ago

Read 2 more answers

Help please! my teacher wants us to show how we got our answer

Mila [183]

Direct variation is when $\dfrac{y}{x}$ is the same for each coordinate.

Indirect variation is when x · y is the same for each coordinate.

11. Answer: Direct Variation

Step-by-step explanation:

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12. Answer: Indirect Variation

Step-by-step explanation:

$\begin {array}{c||c|c|c|c|c}x&4&6&8&8.4&12\\y&21&14&10.5&10&7\\x\cdot y&4\cdot 21=84&6\cdot 14=84&8\cdot 10.5=84&8.4\cdot 10=84&12\cdot 7=84\\\end{array} \\\\\\\text{The coordinates x and y show an indirect variation.}$

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3 years ago

Simplify the expression below. 5xy2 - 3x + 2y2 + 7x + 13xy2

Elina [12.6K]

18xy2 + 2y2 + 4x as 5xy2 + 13xy2 is equal to 18xy2 and -3x add to 7x equal 4x

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3 years ago