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avanturin [10]
3 years ago
12

Solve the system algebraically. Check your work.

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

Step-by-step explanation:

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The polynomial x 3 + 5x 2 - ­57x -­189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If t
Ipatiy [6.2K]
V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12

With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575

V=W*D*H
Depth: D
Height: H
with H>D

V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15

Answer: Option <span>C. height: 21 in. depth: 5 in.
</span>
Please, see the attached file for another form to solve the problem

4 0
3 years ago
Read 2 more answers
Trina borrowed $460 from a friend. Her friend charged her 5% simple annual interest.
fenix001 [56]
Trina borrowed $460 from a friend. Her friend charged her 5% simple annual interest.Let's solve how much will Trina owe her friend in total after 3 years? Use the simple interest formula to solve.
I = prt
I = (460)(0.05)(3)
I = 460 * 0.05 = 23
I = 23 * 3 years = 69 dollars is the interest.
Trina must pay her friend a total of $460 + 69 = 529.
7 0
3 years ago
Read 2 more answers
What is the quotient of 1+ 3 Over 4 and 2 over 5
dolphi86 [110]

Answer:

2 1/2

Step-by-step explanation:

(These are fractions)

1+3 ÷ 2

4 5

(Simplify)

4 ÷ 2

4 5

(Same denominator)

20 ÷ 8

20 20

(Divide)

2 1/2

5 0
3 years ago
1) through: (2,2), parallel to y=x+4
IceJOKER [234]

Answer:

(2,6)

Step-by-step explanation:

8 0
3 years ago
Jose's age in 5 years will be 1 year more than double<br> what Beatrice's age was 2 years ago.
alexgriva [62]
Answer: J + 5 = 1 + 2(B - 2)

Explanation:

8 0
3 years ago
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