<span>-2x – 4 < 10
add 4 to both sides
-2x - 4 + 4 < 10 + 4
simplify
-2x < 14
divide both sides by -2
-2x/-2 < 14/-2
simplify
x < -7</span>
y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.

Now, simplify.

Subtract
on both sides.

Divide both sides by
.

Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Word form: one hundred one and six hundredths.
expanded form: 100+1+0.06
Answer:
In general, the salary S in terms of years of experience Y is S = 2700Y + 3200
Step-by-step explanation:
we start at 32000 without experience.
as the experience goes up, the wage increases 2700 per year so we can multiply 2700 by the years of experience to find the increase of salary. To find the salary of a certain employee with a certain amount of experience, plug the years of experience in for Y and solve.
for Y=0
S= 2700(0) + 3200 = 0 + 3200 = 0
for Y=2
S= 2700(2) + 3200 = 5400 + 3200 = 8600
for Y=5
S= 2700(5) + 3200 = 13500 + 3200 = 16700
for Y=7
S=2700(7) + 3200 = 2700(5) + 2700(2) + 3200 = 5400 + 13500 + 3200 = 22100