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3 years ago

Represent the following sentence as an algebraic expression, where "a number" is the

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:
2 (x+3)

twice : multiply by 2
sum of a number and 3 : x+3

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The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5

lord [1]

We are given

The average income, I, in dollars is

$I=-425x^2+45500x-650000$

(a)

now, we are given

average income is $275000

so, $I=275000$

now, we can set them equal

and then we can solve for x

$275000=-425x^2+45500x-650000$

$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

so,

$x=27$ ............Answer

(b)

we are given

x=40

so, we can plug it and find I

$I=-425(40)^2+45500(40)-650000$

$I=490000$ ..............Answer

6 0

3 years ago

Write a word phrase for each algebraic expression. <br> 25-0.6x<br> 2/3y+4<br><br> 10 points

umka2103 [35]

Answer:

60 percent of a number subtracted from 25
4 more than 2/3 of a number

Step-by-step explanation:

"60 percent of a number subtracted from 25" is a phrase that translates into 0.6 for 60% and "of a number" as 0.6x. Take this number and its subtracted from 25: 25-0.6x.

"4 more than two thirds of a number" is a phrase that translates into addition for "4 more" and multiplication with "two thirds of a number". This means 4 + 2/3y.

8 0

3 years ago

What value of x is in the solution set of 2x – 3 > 11 – 5x?

pochemuha

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides: