Solve 2x + 9 < 17 and 14 < –7 + 3x. 2x + 9 < 17

–9 –9

2x < 8

x < 4

and
14 < – 7 + 3x

+7 +7

21 < 3x

7 < x

Use the work to complete the sentences describing the solution set to the compound inequality 2x + 9 < 17 and 14 < –7 + 3x.

The graph of x < 4 is
.

The graph of 7 < x is
.

Because this is an “and” compound inequality, solutions satisfy
.

The solution set to the compound inequality is
.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

answer: i'm not sure

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.