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3 years ago

Is x= -4 the solution to the equation?

Mathematics

2 answers:

IceJOKER [234]3 years ago

5 0

Answer:

x = -4 is not the solution to the equation because when you see the sign ≤ means there would be many numbers, can't count all of them but the answer would not be any specific number!

Hope this helped :3

Zarrin [17]3 years ago

4 0

Answer:

Step-by-step explanation:

To determine if x = - 4 is a solution to the inequality, substitute x = - 4 into the left side of the inequality and compare with right side.

5(- 4)² + 10(- 4) - 25

= (5 × 16) - 40 - 25 = 80 - 40 - 25 = 15 > 10

Since left side > right side then x = - 4 is not a solution

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Is 4d + (15 + 3d) equivalent to (4d + 15) + 3d ?

Akimi4 [234]

Answer:

Yes it is

Step-by-step explanation:

4d + 3d = 7d so 7d + 15 would be the expression for both except it would only be 3d + 4d = 7d and 7d + 15 is the same as the first expression that I got from evaluating 4d + (15 + 3d).

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3 years ago

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PIT_PIT [208]

So in these problems, we're dealing with absolute value. Absolute value is the real amount of the number, or it's real place value without a negative sign.
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6.
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.

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4 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

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