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kati45 [8]
3 years ago
13

Factor this expression completely. 18x^2 - 32

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Answer:

2(3x - 4)(3x + 4)

Step-by-step explanation:

Factorizing the below expression requires factoring common term.

18 {x}^{2}  - 32

Obviously 2 is common to both 18 and 32. Thus, the answer is:

= 2(9 {x}^{2}  - 16)

=2(3x - 4)(3x + 4)

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A barge moves 7km/hr in still water. It travels 45km upriver and 45km downriver in a total time of 14 hr. What is the speed of t
hodyreva [135]

Answer:

Step-by-step explanation:

2(3x−5)+4x−10=4x+2(x+6)

Step 1: Simplify both sides of the equation.

2(3x−5)+4x−10=4x+2(x+6)

(2)(3x)+(2)(−5)+4x+−10=4x+(2)(x)+(2)(6)(Distribute)

6x+−10+4x+−10=4x+2x+12

(6x+4x)+(−10+−10)=(4x+2x)+(12)(Combine Like Terms)

10x+−20=6x+12

10x−20=6x+12

Step 2: Subtract 6x from both sides.

10x−20−6x=6x+12−6x

4x−20=12

Step 3: Add 20 to both sides.

4x−20+20=12+20

4x=32

Step 4: Divide both sides by 4.

4x/4 =32/4

x=8

8 0
3 years ago
the ratio of 3 numbers is 2:3:4.the largest number is 10 more than the smallest. what is the middle number
MissTica
See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
3 0
4 years ago
M
Ierofanga [76]

Answer:

see below

Step-by-step explanation:

m/3 + 4 = 7

Subtract 4 from each side

m/3+4-4 = 7-4

m/3 = 3

Multiply each side by 3

m/3*3 = 3*3

m =9

4 0
3 years ago
Please help me thanks
Oliga [24]

Answer:

3

Step-by-step explanation:

equation, y=3x, because when x is 1, y is 3, so the equation is y=3x, and the slope is equal to how much of x is equal to y, so 3

Pls brainliest

3 0
3 years ago
Read 2 more answers
At the beginning of six grade Kevin was 4’10” tall. at the end of ninth-grade he was 5’9” tall. what was the percentage of incre
tankabanditka [31]

Answer:

<u>Kevin's height increased 19.05%</u>

Step-by-step explanation:

Height of Kevin at the beginning of sixth grade = 4’10”

Height of Kevin at the end of ninth grade = 5’9”

What was the percentage of increase in Kevin height?

For answering this question, we should convert Kevin's heights to decimal number, this way:

1 feet = 12 inches

4’10” = 4 10/12 = 4.83

5’9” = 5 9/12 = 5.75

Now, let's use the Direct Rule of Three:

Height     Percentage

4.83              100

5.75                 x

***********************************

4.83x = 5.75 * 100

4.83x = 575

x = 575/4.83

x = 119.05

119.05 - 100 = 19.05

<u>Kevin's height increased 19.05%</u>

8 0
3 years ago
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