Factor 5x^2 + 16x – 16

Answers

Answer 1

Answer:

(x + 4)(5x - 4)

Step-by-step explanation:

[tex]5x^2 + 16x – 16 \\ = 5x^2 + 20x - 4x– 16 \\ = 5x(x + 4) - 4(x + 4) \\ = (x + 4)(5x - 4)[/tex]

Answer 2

Answer:

 (5x - 4) • (x + 4)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   5 • -16 = -80

Find two factors of  -80  whose sum equals the coefficient of the middle term, which is   16 .

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  20  

                    5x2 - 4x + 20x - 16

Add up the first 2 terms, pulling out like factors :

                   x • (5x-4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (5x-4)

Add up the four terms of step 4 :

                   (x+4)  •  (5x-4)

            Which is the desired factorization


Related Questions

20 POINTS!
Find the Area of the Circle:

Answers

Answer:

1st option

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

A = 3.14 × 3² = 3.14 × 9 = 28.26 cm²

Answer:

[tex]area \ of circle = \pi r^{2} = 9\pi \ cm^{2} = 28.27cm^{2}[/tex]

Sandra prepared 15 kilograms of dough after working 3 hours. How many hours did Sandra
work if she prepared 20 kilograms of dough? Solve using unit rates.
hours

Answers

Answer:

4 hours  

Step-by-step explanation:

4 hours because if 15 is 3 hours. count by 5. 5 kilograms of dough would be 1 hour, 10 kilograms of dough would be 2 hours leaving 15 at 3 hours and 20 kilograms at 4 hours.

simplify r +5/2 + r-4 /3​

Answers

Answer:

      2r+7/6

Step-by-step explanation:

Answer:

2r +7/6

Step-by-step explanation:

See the steps below:)

The answer that the question is asking for.

Answers

Answer:

#4) 1

Step-by-step explanation:

To find the average, add all of the temperatures together, then divide it by the number of temperatures added.

It'll look like this: (-10+2+8+4)/4

4. If f(x)=2x+3(x+4)+5 then f(6)=?

Answers

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

If this has helped please mark as brainliest

Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?

Answers

Answer:

7 occurs most frequently.

Step-by-step explanation:

If we roll two dice, we do get sample space as

(1,1) = 1+1 =2        (4,1)=4+1=5

(1,2)= 1+2 =3        (4,2)= 34+2=6

(1,3)= 1+3=4         (4,3)= 4+3=7

(1,4)=1+4=5          (4,4)= 4+4=8

(1,5)=1+5=6          (4,5)= 4+5 =9

(1,6)=1+6=7           (4,6)= 4+6=10

(2,1)= 2+1=3          (5,1)= 5+1=6

(2,2)=2+2=4         (5,2)=5+2 =7

(2,3)= 2+3=5        (5,3) =5+3=8

(2,4)=2+4=6         (5,4) =5+4 =9

(2,5)=2+5=7          (5,5)=5+5=10

(2,6)=2+6=8          (5,6)=5+6=11

(3,1)=3+1=4            (6,1)= 6+1=7

(3,2)=3+2=5          (6,2)=6+2=8

(3,3)=3+3=6           (6,3)=6+3=9

(3,4)=3+4=7           (6,4) =6+4 =10  

(3,5) =3+5=8          (6,5)=6+5=11

(3,6)=3+6=9            (6,6)=6+6=12

2 occurs for 1 time

3 occurs for 2 times

4 occurs for 3 times

5 occurs for 4 times

6 occurs for 5 times

7 occurs for 6 times

8 occurs for 5 times

9 occurs for  4 times

10 occurs for 3 times

11 occurs for 2 times

12 occurs for 1 time.

So, 7 occurs most frequently.

The following tables show some values from three different functions. which of these functions could be quadratic?

Answers

Answer:

C. III only

Step-by-step explanation:

a quadratic function means that as the maximum power in its arguments it is squaring 1 or more items.

so, let's look at the tables.

table I shows the powers of 2. y = 2^x

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

so, it is not saying anything in general.

table II shows an "identity" equation. y = x

0 = 0

1 = 1

2 = 2

3 = 3

this does not square anything.

table III shows then finally a square equation. y = x^2

0^2 = 0

1^2 = 1

2^2 ≈ 4

3^2 = 9

hurray !

Does anyone know the answer to this question?

Answers

It’s 7 because 7 times 7 is 49

Rose is planning a surprise party for her father. She is inviting 94 people besides her father and herself. She can seat 8 people at each table. How many tables will Rose need?

Answers

The answer is 12
Explanation: 94+rose and her father 94+2=96
Which if u want to find the amount tables u divide by 8 the amount people who can fit at a table 96/8=12

Shirts are $12 each and Mary has no more than $48 to spend.How many shirts can she purchase

Answers

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Options:

A: 40
B: 1
C: 3
D: 10

Answers

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet


10
वाल
8
What is the
solution to
this system
of equations?
6
4-
2+
([?]
-2
8
10
2

Answers

Answer:

(7, 4)

Step-by-step explanation:

The solution to the system of the 2 equations represented on the graph by the two lines is the c

x and y coordinates of the point where the two lines intersect.

They intersect at when x = 7, y = 4.

Therefore, the solution to the system of equations would be (7, 4).

please please help me!!! I have to clue how to figure this out

Answers

Circumference =2*pi*r=81.68
If it rotates 3000 times, 81.68×3000 equals 245040

Find the circumference when the diameter is 12.4cm

Answers

Answer:

circumference = 3.14×12.4

circumference =38.936

Please solve. Thanks.

Answers

Answer:

90°

Step-by-step explanation:

a square in the corner of an angle always indicates 90° because each corner of a square is also 90°

What is the greatest common factor for this set of terms:

3x, 18


Please help me!!!

Answers

It’s 3 this was easy like very

a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month​

Answers

256 inches
Explanation
I did it like 2 weeks ago

What the answer to this please

Answers

Answer:

The answer for x is 80°

Step-by-step explanation:

60°+40°+x=180°

X=180°-60°-40°

X=80°

It’s 80 because the sum of all the angles should be 180 so you’d subtract the angles u already have which is 60+40=100 and then u subtract that from 180 and u get 80

X=80


Question
If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are
A
sometimes equal.
B
never equal.
always equal.
cannot be determined

Answers

I believe always equal

What is the volume of this prism?

Answers

Answer:

56.3

Step-by-step explanation:

The third one.

Answer:

is your answer option no 3 is correct

I hope is helpful

4,192 ÷ 3 explination

Answers

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Help plzzzzzz 1. Use your expression from Exercise 15 to find the total cost of 8 play tickets and 8 choir concert tickets
exercise 15 is Rory buys t play tickets at $14.50 per ticket and t choir concert tickets
at $5.50 per ticket. What is the cost for play tickets and choir concert
tickets?
plz help

Answers

Answer:637

Step-by-step explanation:

7362 is the andwrr

*look at the image*


whoever answers first will be marked brainliest

Answers

*looks at the image woooow

There isn’t no image

Analyze the diagram below and complete the instructions that follow.

Find m

Answers

Answer:

D. 70.53

Step-by-step explanation:

To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

Substitute,

[tex]cos(CBA) = \frac{3}{9}[/tex]

Simplify

[tex]cos(CBA) = \frac{1}{3}[/tex]

Inverse operations,

[tex]CBA=cos^-1(\frac{1}{3})[/tex]

Compute,

m<CBA = 70.53

-7n = 84 round to the nearest hundredth​

Answers

Answer:

n=-12

Step-by-step explanation:

Divide 84 by -7 and you get -12

....................​

Answers

Answer:

-4

Step-by-step explanation:

hope this helps with the work

A 25-foot ladder is placed against a building so that its foot is 10 feet away
from the base of the building. Determine the height of the building. Write
your answer in simplified radical form.

Answers

Answer:

15 feet

Step-by-step explanation:

Subtract 10 feet from the height of the ladder

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Where is the picture? Nothing is attached to your question.

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