1. Factor this quadratic function:2x2 + 12x +16

Answers

Answer 1

Answer:

4 (3x + 5)

Step-by-step explanation:

Simplify

4 + 12x +16

Simplify

12x + 20

Factor

4 (3x + 5)

Answer 2

Answer:

[tex]2(x+4)(x+2)[/tex]

Step-by-step explanation:

We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:

[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]

Putting that back with the 2 we factored out earlier, our fully factored function is

[tex]2(x+4)(x+2)[/tex]


Related Questions

6+24-6854+21=????????

Answers

Answer:

-6803

Step-by-step explanation:

Answer:

6 + 24 - 6854 + 21 = -6803

Step-by-step explanation:

hi ryan

Find the surface area of the cereal box.
cm
20 cm
3 cm
10 cm

Answers

Answer:

580 cm squared

Step-by-step explanation:

surface area = 2LW + 2LH + 2HW

or 2(20)(3) + 2(20)(10) + 2(3)(10)

which simplified fraction is equal to 0.17 repeating?

Answers

Answer: 16/90

Solution: 16 divided by 90 = 0.17 repeating

Answer:

B (8/48)

Step-by-step explanation:

Both B and D are equal to 0.53 repeating, but they asked for the SIMPLIFIED FRACTION.

GIVE BRAINLiEST PLS CUZ THTS THE OnLY ONE CORRECT AND I NEED THE POINTS

help!!!!!!!
I will make you brainliest

Answers

Answer:

Step-by-step explanation:

(a) The appropriate formula is C = 2πr.  Here r = 14 cm, so

C = 2π)14 cm = 28π cm, or (if we take π to be 22/7), C = 88 cm²

(b) We use the same circumference formula:   C = 2πr  and solve it for r before inserting numeric values:

        C                                                 132 m               7(132 m)

r = --------         and in this case,   r = ------------------- = ------------- = 21 m

      2π                                                [ 2 * (22/7) ]            44

United Steel provides pensions to its employees. An individual pension is 2.3% of the

employee's average salary for the last five years of employment times the number of

years the employee worked for the company. Juan DeMarco worked for 30 years for

United Steel.

The annual salaries he received for his last five years were: $ 93,000, $ 94,000, $ 98,000,

$ 94,000, and $102,000.

What will his annual pension be?

Answers

Answer:

$66,378.

Step-by-step explanation:

Average salary for the last 5 years = (93000+94000+98000+94000+102000)

/ 5

= $96,200

So his pension = 96,000 * 0.023 * 30

= $66,378.

Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 – 12x + 32
k(x) = x2 + 4x – 1
p(x) = 5x2 + 5x + 4
t(x) = x2 – 2x – 15

Answers

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. [tex]b^2-4ac[/tex].

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

[tex]f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4[/tex]

D>0  the roots are real and unequal

Function (2)

[tex]g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16[/tex]

D<0  the roots are real and unequal

Function (3)

[tex]h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16[/tex]

D>0  the roots are real and unequal

Function (4)

[tex]k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20[/tex]

D>0  the roots are real and unequal

Function (5)

[tex]p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55[/tex]

D<0  the roots are real and unequal

Function (6)

[tex]t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64[/tex]

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

Answer:

1,3,4,6

Step-by-step explanation:

EDGE

If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?

Answers

How big is the pool?

a bag is filled with 4 red marbles, 3 blue marbles,3 yellow marbles, and 2 green marbles. you randomly choose one marble from the bag. (a) find the number of ways the event can occur. (b) find the favorable outcomes of the event

Answers

Answer:

a. 12

b. it depends on the color of the marble.

Step-by-step explanation:

In this case the number of ways would be the number of events, in this case the events would be the total number of marbles since any of them can come out. so:

4 + 3 + 3 + 2 = 12

Therefore, the number of ways the event can occur is 12 ways.

Now, in the favorable outcomes of the event, it would come depending on what color the marble would be, whether it be red, blue, yellow or green.

In each color, the number of the favorable outcomes of the event would be the quantity of each marble, that is, 4 for red, 3 for blue, 3 for yellow and 2 for green.


A total of 426 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the
number of adult tickets sold. How many adult tickets were sold?

Answers

I hope this helps you

eir answers
Find the product. Draw a model.
1.
eeded)

Answers

I need more information about this question

A right triangle has a height of 20 cm and a base of 10 cm. What is the area of the triangle? (A = 1/2 bh)

Answers

Answer:

100 because its way too ez

Answer:

A = 100

Step-by-step explanation:

A = bh/2

A = 20(10)/2

A = 200/2

A = 100

Find the mean absolute deviation (MAD) of the data in the pictograph

Answers

Answer:

1.5

Step-by-step explanation:

First, find the mean (average) of the data set.

mean = (x1 + x2 + ...)/N

where x1, x2, ... are the data points, and N the total amount of data points.

mean = (7 + 2 + 4 + 3)/4 = 4

Then, mean absolute deviation is computed as follows:

MAD = (|x1 - mean| + |x2 - mean| + ...)/N

MAD = (|7 - 4| + |2 - 4| + |4 - 4| + |3 - 4|)/4

MAD = (3 + 2 + 1)/4 = 1.5

Answer:

1.5

Step-by-step explanation:

your welcome

Select the correct answer from each drop-down menu.
Which system of equations is represented by this graph?

Answers

Answer:

2 for first answer

-1/2 for second

Step-by-step explanation:

First line starts on positive 3 then goes down 2 left 1 -2/-1=2

First one is 2 second one is -1/2

Savings: It is important to pay yourself first in the form of putting money into your savings account. Each paycheck, deposit 10% of your take home pay into your savings account.

Amount deposited every week into savings: __________________
How much will then go into your checking account: ______________

Answers

Answer:

10%of the savings

Step-by-step explanation:

have a great day :)

There are four options on the desert menu at a restaurant. Phillip and Paula like all of the choices equally, so they each choose a dessert at random. What is the probability that Phillip will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. Round your answer to nearest thousandth.

Answers

Answer:

I think like 1/2 of 0

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

PLSSS HELP ME PLS GET THE RIGHT ANSWER

Answers

It would be the first one
This is because the 3b and the 2b make 5b. Then the -6 and the 22 make 16.

Answer:

hey you single lmf.aoooooo

Can someone help me with this please, I need to get this thing done?

Answers

Answer:

The answer is B (9)

Step-by-step explanation:

Count the distance.

If 24 pencils cost $1.20 then how much does one pencil cost?

Answers

Answer:

$0.05

Step-by-step explanation:

1.20 divided by 24

Answer:

The cost is $.05   or 5 cents per pencil

Step-by-step explanation:

Take the cost and divide by the number of pencils

1.20 /24

.05

The cost is $.05   or 5 cents per pencil

A point is selected at random inside the given figure. What is the probability the point will be in the region labeled B? Enter your answer, as a fraction in simplest form, in the box. The figure is a rectangle that is made up of three rectangles and one square. The rectangles are labeled A, B, and D, and the square is labeled C. Rectangle A is in the upper left portion of the large rectangle. The left side of rectangle A is labeled 5 inches and it is part of the left side of the large rectangle. Rectangle B is in the lower left portion of the large rectangle below rectangle A. The lower side of rectangle B is labeled 3 inches and makes up a part of the lower side of the large rectangle. Rectangle D makes up the right side of the large rectangle and is to the right of rectangle A. The upper side of rectangle D is labeled 3 inches and makes up a part of the upper side of the large rectangle. The right side of rectangle D makes up the entire right side of the large rectangle. Square C lies below rectangle A and between rectangles B and D. The lower side of square C is labeled 4 inches and makes up part of the lower side of the big rectangle. The right side of square C is also labeled 4 inches.

Answers

Answer:. 12/90. Or about 13.3%

Step-by-step explanation: If I interpreted your description correctly, and put the dimensions in the correct places, the large rectangle has an overall width of 10 inches and length of 9 inches. The Total Area is 90 sq in.

The rectangle Region B is 3 (given) by 4 (assumed from shared side with the given square) . So the Area of region B is 12 sq in.

The chance of randomly selecting a point is the ratio of the Area of the selected region to the Total Area. In this example, it's 12/90, simplified to 2/15 or about 13.3%

what is the volume of the cylinder

Answers

Answer:

Step-by-step explanation:

volume =πr²h=π×4²×8=128π in³

The volume of the cylinder would be 128π in^3

Finding the volume of a cylinder involves its formula: b*h=v. In the case of a cylinder and even cones, your base is a circle, and therefore is the area of said circle.

What you first want to do is find the area of the circle, to do that you need to know the formula which is r^2*pi. A cylinder has two congruent sides which are the circles, therefore the radius of one circle is the same as the other. Now use the radius of the circle on the top of the cylinder and square it. 4^2=16. Next we need to multiply 16 by pi (pi can be multiplied like a variable and just added next to 16. Therefore 16*pi= 16π.

Next now that you have your base (16π) you must multiply by your height which is 8 in this case (the length between the two circles). 16π*8 and now multiply as it it were two terms (a variable and whole number) so 16π*8= 128π

What is the probability that a blue marble is selected, given that it is large?

Answers

Answer:

P(blue given large)=1/2

Step-by-step explanation:

Marble being blue=1/4

Large Marble=2/5

Both blue and large=1/5

2/5x=1/5

x=1/5*5/2

x=1/2

Therefore, 1/2

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = units Determine the distance from the center to (–3, –4) using the distance formula. distance = units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

Answers

Answer:

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Identify the radius from the graph.  

r = 5 units

Determine the distance from the center to

(–3, –4) using the distance formula.  

distance = 5 units

Compare the radius to the distance. Does the point (–3, –4) also lie on the circle? yes

i hope this helps :) i got it from e2020

Answer:

5

5

yes

Step-by-step explanation:

The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle?

Identify the radius from the graph.

r = ✔ 5 units

Determine the distance from the center to

(–3, –4) using the distance formula.

distance = ✔ 5 units

Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

✔ yes

Each cube in this figure measures 1 foot on each side.

What is the volume of this figure?


45 ft³

80 ft³

200 ft³

300 ft³
A rectangular prism made up of unit cubes. There are 8 layers, and each layer is 5 units long and 5 units wide.








Answers

200 ft is the answer

Suppose an investment of $500 doubles in value every 15 years. How much is the investment worth after 30 years? After 45 years?Write an equation and solve

Answers

Answer:

Step-by-step explanation:

well all you have to do is 500 dollars times two, because it times each 15 years right and 30/15=2. So you do $500*2 which is $1000. And you get $1500 in 45 yrs.

So the equations are for each 15 yrs you add 500 dollars to the amount.

Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared + 8 k + 12 = 0 k squared minus 8 + 12 = 0 k squared minus 8 k + 12 = 0

Answers

Answer:

k^2-8k+12=0D

Step-by-step explanation:

Explanation:

1) Given equation:

         k+12/k=8

2) Multiplication property of equality:

        k(k+12/k)=8k

3) Distributive property:

        k^2+12k/k=8k

4) Simplification:

        k^2+12=8k

5) Subtraction property of equality:

        k^2-8k+12=0

Answer:

k^2-8k+12=0D is correct

Step-by-step explanation:

find the area of each figure . only 3 questions !

Answers

Answer:

(1) 391, (2)663, (3)12    

Step-by-step explanation:

1. rectangle area formula = height * width

17 * 23 = 391

2. parallelogram area formula = height * base(or width)

17 * 39 = 663

3. parallelogram area again

8 * 1.5 = 12

What is the solution to the equation 5 x = 32?

a. x = 6
b. x = 6.4
c. x = 27
d. x = 160

Answers

Answer

   x = 32/5 = 6.400

Answer is B

Step-by-step explanation:

1: Rearrange

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Solving a Single Variable Equation

Solve  :    5x-32 = 0  

Add  32  to both sides of the equation :  

                     5x = 32

Divide both sides of the equation by 5:

                    x = 32/5 = 6.400

The correct answer is B.

Answer:   x = 32/5 = 6.400

Hope this helps.

Answer:

B

Step-by-step explanation:

5x=32 move the 5 over by dividing

x=5/32. 5 divided by 32 equals 6.4

so x=6.4

what is the zero of the function below?
f(x)=3x-15
A. -15
B. 0
C. 5
D. 3

Answers

Answer:

x = 5  (Answer C)

Step-by-step explanation:

Set f(x) = 3x - 15 = to 0 and solve for x:

3x - 15 =  0

Adding 15 to both sides isolates 3x:

3x = 15

Dividing both sides by 3 yields x = 5  (Answer C)

Braniest and Extra Points will be given!!!!! Choose an option from both parenthesis!!!
In order to use the Pythagorean Theorem, you must know the length or lengths of (all three sides/any 2 sides/any side) of the triangle and know that the measure of one of the angles is (greater than 90°/exactly 90°/less than 90°) .

Answers

Answer:

a) Any 2 sides

b) exactly 90°

Step-by-step explanation:

The point of the Pythagorean Theorem is to find the length of the hypotenuse using 2 sides.

This only works for right triangles.

Hope this helps!

-MoCKEry

Answer:

1) any two sides

2)exactly 90 degrees

Step-by-step explanation:

1) The pythagorean theorem only applies to right angle triangles

since right angle triangles measure 90 degrees exactly we will choose exactly 90 as an option.

2) so the formula for pythagorean theorem is a^2+b^2=c^2  where

a=side 1

b= side 2

c=hypotenuse(biggest side)

to find the hypotenuse you need to know both the values of a and b hence we will take the option "any two sides"

What is the answer? Please help!

Answers

Answer:

It is the second answer!

Step-by-step explanation:

It is the second one
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