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Oxana [17]
3 years ago
10

PLEASE HURRY. 24. Factor completely (1 Point 14x^3 – 16x^2 + 21x – 24

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

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A lab technician has to fill the tank given below. <br> Find it’s volume .
wel

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = \pi×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of  \pi = 3.14

So, V =  \pi × r² × h

Or, V = 3.14 × (5)² × 8

Or, V =  3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V  = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters  Answer

6 0
3 years ago
Factor the polynomial 25p squared - 144
castortr0y [4]
(5p+12) (5p-12) i hope this helps
3 0
3 years ago
Read 2 more answers
Of the students at I.S. 59, 230 signed up for the school picnic. That was 50% of all students in the school. How many students a
Nastasia [14]

Answer: 460 students

Step-by-step explanation:

Based on the information given in the question, let the total number of students that attend I.S. 59 be represented by x.

Since we've been given the information that 230 signed up for the school picnic which was 50% of all students in the school. Then, the students in the school will be:

= 50% of x = 230

0.5 × x = 230

0.5x = 230

x = 230/0.5

x = 460

Therefore, 460 students attend the school.

4 0
2 years ago
True or false 398+9 = 400+8
defon

Answer: False

Step-by-step explanation:

398 + 9 = 407

400 + 8 = 408

If the equation was 398 + 10 then yes it will be equal to 400 + 8

4 0
2 years ago
Determine the length of side CB.<br> A)<br> 5<br> B)<br> 5V<br> 5V<br> D)<br> 10
ra1l [238]

Answer:  5\sqrt{3}  which is choice C

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

Explanation:

This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is \sqrt{3} times that of the short leg.

7 0
2 years ago
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