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Vlad [161]
3 years ago
14

Factor the following expression 10x^5+5x^3-14x^2-7-

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7  (By the commutative property)

=2x^2(5x^3-7)+5x^3-7     (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1)      (Taking 5x^3-7 common from both terms)

\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)

Hence, Option C is correct

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Write and solve a real-world problem that
Kay [80]

There are 11 that contain equal numbers of toy cars and 6 that contain equal number of helicopter toy.

<h3>Greatest common factor</h3>

John is filling in party goodie bags with toy cars and helicopters. There are 66 toy cars and 36 helicopters. Each bag must only have either toy car or helicopter - there is no mixing of toys.

Each bag must have the same number of toy cars in it.

Each bag must have the same number of toy helicopter in it.

All bags must have the same number of toys in it.

a) How many bags will contain toy cars?

b) How many bags will contain toy helicopters?

Factors of 66: 1, 2, 3, 6, 11, 22, 33, and 66.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The greatest common factor of 66 and 36 it s 6

66 ÷ 6 = 11 toy cars

36 ÷ 6 = 6 helicopter toy

Therefore, there are 11 that contain equal numbers of toy cars and 6 that contain equal number of helicopter toy.

Learn more about greatest common factor:

brainly.com/question/4695438

#SPJ1

7 0
2 years ago
The parallelogram shown below has an area of ​​135 units2 Find the missing base.
Nostrana [21]
<h3>Answer:  9</h3>

===================================================

Explanation:

The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.

The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135

Therefore, 15*b = 135

Divide both sides by 15 and we isolate b

15b = 135

15b/15 = 135/15

b = 9

So the base is 9

Check:

area = base*height = 9*15 = 135

so the answer is confirmed

side note: we never use the value 17 at all. It is likely put in there as a distraction.

3 0
3 years ago
Zelda completed the right column of the table to help her find the difference.
Zinaida [17]

Answer:

His error occurred in the last step

Explanation:

He was supposed to calculate -

\frac{5}{6}  - \frac{1}{9} \\or\\\frac{15}{18}  - \frac{2}{18} \\

which would equal -

\frac{13}{18} \\not\\\frac{17}{18}

Because he added instead of subtracted.

Hope this helps!

<em>stay safe</em>

5 0
3 years ago
Find the sum of the first 44 terms of the following series, to the nearest integer. 10, 14,18,...
Daniel [21]

Answer:

4224

Step-by-step explanation:

Here, we want to calculate the sum of the first 44 digits

Term a which is first digit is 10

common difference which is difference of terms = 14-10 = 18-14 = 4

Now the nth term of an arithmetic sequence is

a + (n-1)d

44th term means n = 44

10 + (44-1)4

10 + 43(4)

10 + 172 = 182

To find the sum, we use the formula

Sn = n/2[a + L]

where a is the first term and L is the 44th term

Sn = 44/2 (10 + 182)

Sn = 22(192)

Sn = 4,224

4 0
3 years ago
Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r
klemol [59]

Answer:

After 7 hours will be 1.95489493x10^12 viruses

Step-by-step explanation:

If the virus spread with 19% per hour after one hour it will increase 57 and continue in the 300+((300*0.19)^7) form, we just need to caculate the form

5 0
3 years ago
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