1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tiny-mole [99]
3 years ago
17

What is the completely factored form of the expression 16x2 + 8x + 32?

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>
You might be interested in
A local boys club sold 136 bags of mulch and made a total of $521. It sold two types of mulch: hardwood for $4.00 a bag and pine
Anni [7]

Answer: 14.32

Step-by-step explanation:

4 0
3 years ago
What is 5y-4(-4-7y) using Distributive property
AlexFokin [52]

Answer:

33y+16

Step-by-step explanation:

Break apart the problem:

-4(-4-7y)=16+28y

5y+16+28y=33y+16 (Add like terms)

5 0
3 years ago
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
1<br> What is the solution to the equation 5x + 4 =19
ivolga24 [154]

Answer:

x=3

Step-by-step explanation:

5x + 4 = 19

     -4     -4

     5x = 15

      /5    /5

       x = 3

5 0
3 years ago
FEE
frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)

y+2=\frac{3}{4}\left(x+4\right)

Thus, the equation in the point-slope form of the line equation is:

y+2=\frac{3}{4}\left(x+4\right)

Simplifying the equation

y+2=\frac{3}{4}\left(x+4\right)

Subtract 3 from both sides

y+2-2=\frac{3}{4}\left(x+4\right)-2

y=\frac{3}{4}x+1

Multiplying the equation by 4

4y = 3x + 4

3x - 4y = -4

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4
7 0
3 years ago
Other questions:
  • A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
    10·1 answer
  • Can anyone help me and explain?
    12·1 answer
  • I=E/R + r solve for r
    14·1 answer
  • A person runs 1/7 mile in 1/56 hour.The person's speed is miles per hour.
    14·2 answers
  • 500+500+500+1,000+4,000+10,000
    10·2 answers
  • If the ratio of wiping is the green peas is 2 to 8 and there are a total of 30 pens how many pens are white
    11·1 answer
  • 4.<br> B<br> А.<br> Angle A is 135º. What is angle B? (show math and explain why)
    14·1 answer
  • What are the coordinates of the image of vertex G after a reflection across the line y = x?​
    8·1 answer
  • Mrs. Chin paid a 20 percent tip on the bill for lunch.
    9·1 answer
  • HELPPPPPPPPPPP<br> GIVING BRAINLIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!