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2 years ago

What is the value of x?

Mathematics

1 answer:

Agata [3.3K]2 years ago

3 0

Answer:

x=68

Step-by-step explanation:

We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:

99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.

When we do that, we get x=68

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3 years ago

You have $1,900 in savings for retirement. If your investments earn 8% annually, how much will you have in your retirement accou

natima [27]

Answer:

$3,015

Step-by-step explanation:

To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:

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4 years ago

Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.

denis23 [38]

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<u>Step-by-step explanation:</u>

n=0 1

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4 years ago

Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant

sineoko [7]

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

$\displaystyle \large{|3x+8|-9=-5}$

Add both sides by 9.

$\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}$

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

$\displaystyle \large{ |ax + b| = c}$

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

Hence, the equation does have a solution!

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3 years ago