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# Several algebra problems

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2.

3.

4.
Find the coordinates of the x-intercept.
2x + y = -6

(-6, 0)

(0, -3)

(0, -6)

(-3, 0)

5.

6.
Janet invested \$26,000, part at 6% and part at 3%. If the total interest at the end of the year is \$1,080, how much did she invest at 6%?

\$11,000

\$10,000

\$9,000

\$16,000

7.
Find the domain and range of the relation, and state whether or not the relation is a function.
{(7, 2), (8, 2), (9, 2), (10, 2)}

Domain = {2}, Range = {7, 8, 9, 10}
The relation is not a function.

Domain = {2}, Range = {7, 8, 9, 10}
The relation is a function.

Domain = {7, 8, 9, 10}, Range = {2}
The relation is not a function.

Domain = {7, 8, 9, 10}, Range = {2}
The relation is a function.

8.
Find the y-intercept.
x + 4y = -4

(0, -1)

(-1, 0)

(0, -4)

(-4, 0)

9.
The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?

30 items

35 items

70 items

40 items

Question 10

11.
A tent is shaped like a pyramid. It has a square base measuring 8 feet on a side and a height of 6 feet. What is the volume of the tent?

128 ft3

16 ft3

512 ft3

32 ft3

12.

13.
Determine whether the system is consistent, inconsistent, or dependent.
3x + 2y = 15
6x + 4y = 30

Consistent

Dependent

Inconsistent

14.
Find the vertex of the parabola.
y = -4x2 - 16x - 11

(5, 2)

(2, 5)

(-2, 5)

(5, -2)

15.
Determine whether or not the relation is a function.
{(-3, 6), (-2, 7), (-1, 8), (0, 9)}

No

Yes

16.
.

17.

.
Find the coordinates of the x-intercept.
-x + 5y = -15

(-3, 0)

(0, 15)

(0, -3)

(15, 0)

18.
The owner of a deli wants to purchase at least 15 more pounds of oven-baked turkey than of roast beef. Write the constraint using t for pounds of turkey and r for pounds of roast beef.

t ³ r + 15

t > r + 15

t ³ r - 15

t £ r + 15

19.

Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27

Consistent

Dependent

Inconsistant

20..

Find the coordinates of the x-intercept.
-x + 5y = -15

(-3, 0)

(0, 15)

(0, -3)

(15, 0)

https://brainmass.com/math/basic-algebra/several-algebra-problems-269959

#### Solution Summary

Step by step solutions to all the problems are provided.

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