Type the correct answer in the box. Rewrite the quadratic function in the form that best reveals the zeros of the function. f(x)=2(2x2+4x)+3

Answers

Answer 1

Try this suggested option:

Step-by-step explanation:

f(x)=2(2x²+4x)+3; ⇔

f(x)=4(x²+2x)+3; ⇔

f(x)=4(x²+2x+1)+3-4; ⇔

f(x)=4(x+1)²-1; ⇔

f(x)=(2x+1)(2x+3).

Then the roots are:

[tex]\left[\begin{array}{ccc}x=-1.5\\x=-0.5\end{array}.[/tex]


Related Questions

Solve for D: 70D + 6 - 9D= 35 + 4D - 20.

Answers

Answer:

The answer is D = 9/57

Step-by-step explanation:

Get the variable D by itself as stated to solve for D.

I got the other numbers to the other side.

70D + 6 - 9D = 35 + 4D - 20.

(70D - 9D - 4D) = (35 - 20 - 6)

57D = 9

D = 9/57

Solve 8x+5y=2 and y-2=0.Also verify thmm....​

Answers

Answer:

Solution: Here, the given equations are,

[tex]: \implies8x+5y=2...(i)\:and\:y-2=0...(ii)[/tex]

From equation,(ii); y-2=0

[tex] \therefore \: y = 2.........(iii)[/tex]

Substituting the value of y from equation (iii) to equation (i),we get

[tex]: \implies{8x + 5y = 2}[/tex]

[tex]: \implies{8x + 5(2) = 2}[/tex]

[tex]: \implies{8x = 2 - 10}[/tex]

[tex]: \implies{8x = - 8}[/tex]

[tex]: \implies{x = - 1}[/tex]

[tex] \therefore \: x = - 1[/tex]

Thus, x= -1 and y= 2 is the solution.

Checking at (-1,2)

8x+5y=2...(i) y-2=0...(ii)

8(-1)+5(2)=2 2-2=0

2=2(True) 0=0(True)

Answer: x = -1, y = 2

Step-by-Step Explanation:

=> 8x + 5y = 2 (Eq. 1)
=> y - 2 = 0 (Eq. 2)

We can Solve Eq. 2 :-

y - 2 = 0
=> y = 2

Substitute value of ‘y’ in Eq. 1 :-

8x + 5y = 2
8x + 5(2) = 2
8x + 10 = 2
8x = 2 - 10
8x = -8
x = -8/8
=> x = -1

Therefore; x = -1, y = 2

Is 35 cm greater than 3.5 m

Answers

Answer:

no

Step-by-step explanation:

3.5m=350cm

35cm<350cm

Cost of Bikes ($) at Bike Shop
312, 352, 480, 392, 368, 352, 416, 640
a. mean
The mean is?

Answers

Answer:

414

Step-by-step explanation:

312+352+480+392+368+352+416+640 divided by 8 = 414

Answer: its 414

Explanation: So to figure out the mean you add up all the numbers together and then you divide by how many numbers there are like for this equation 312+352+480+392+368+352+416+640 = 3312 then you divide by eight because there’s eight numbers that you added together and 3312÷ 8 is 414

For a computer company, the cost to produce one PC is $1410 plus a one-time cost of $125,000 for research and development. The revenue from selling one PC is $1984. How many PCs must they sell to make a profit?

Answers

approximately 63 (that’s how many times 1984 goes into 125000)so i would say about 64.

A box shaped like a rectangular prism has a length of 8 inches and width of 8 inches. Its volume is 512 cubic inches. What is the height of the box?

Answers

Answer = 8 in.
Volume = L x W x H
we know volume =512
L=8
W= 8
512 = 8 x 8 x H
512 = 64H
Divide both sides by 64 to isolate H
8 = H

Check your work
8 x 8 x 8 = 512

PLS HELP ME ASAP!!!!!

Answers

Answer:

c

Step-by-step explanation:

its just the dilate of the triangle which both add up to 180

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.

Answers

The ratio of the lengths of and is 1: 1

PQ parallel to RS

PR and PS; perpendicular to PQ and RS.

What are the perpendicular lines?

Perpendicular lines are lines that intersect at a 90 degrees angle. Parallel lines are lines that are always the same distance apart.

FOR parallel lines, the perpendicular line joining then is always the same; here the 4 angles formed are all 90°

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It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substitute it back in, it should always be true and equal the answer in the original equation(?).
For this equation, the answer was x=7, but when I substitute it back in, I was unable to get the original solution back, which means it is “no solution” after all.
Why is that?

Answers

Let's replace every copy of x with 7 and simplify.

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\[/tex]

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\[/tex]

Recall that the result of a square root operation is never negative. The range of [tex]y = \sqrt{x}[/tex] and [tex]y = \sqrt{5x+1}[/tex] is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

[tex]-\sqrt{5x+1}+9 = 3\\\\[/tex]

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

Triangle
ABC
GHI
DEF
S
NU
H"
Dimensions
2, 4, 5
5,5,9
4,4,4
Classify by
Sides
E
Classify by
Angles

Answers

Answer:

See below ~

Step-by-step explanation:

Classifying the triangles by sides and angles :

Triangle ABC

⇒ By Sides : Scalene (All sides are unequal)

⇒ By Angles : Right (There is a right angle = 90°)

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

Triangle GHI

⇒ By Sides : Isosceles (2 sides are equal)

⇒ By Angles : Obtuse (One angle is greater than 90°)

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

Triangle DEF

⇒ By Sides : Equilateral (All sides are equal)

⇒ By Angles : Acute (All angles are less than 90°)

3 quick questions 28 points

Answers

For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work

I would input each function and sees which one matches the image on the test.

As for the second image, I believe the answer is C; x is greater than or equal to -1.

For the third and last image, I believe the answer is A; x is less than -1.

I hope this helps .

1
2
3
4
5
6
7
8
9 10
What is the value of x in the equation xy = 30, when y = 15?
•4
•8
•80
•200

Answers

Answer:

xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2

e) 35-12 + 6 x 36 /4

Answers

Solution :

77

Step by Step explained:

1. Multiply the number

[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]

2. Divide the number

[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]

3. Add the numbers

[tex]35 - 12 + 54 \\ 77[/tex]

Solution :

77

Can somebody help me out? Also please provide an explanation.

Answers

Answer:

38%

Step-by-step explanation:

Total: 93

Find percentage

Rain: 24

Snow: 11

24 + 11 = 35

Find what percentage of 90 35 is.

35 of 90 can be written as:

35

----

90

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

35           100

----   ×         ----

90            100

= ( 35 * 100/90) * 1/100 = 38.89/100

Therefore, the answer is 38.89%

The answer is 38.89 hope this helps

Select the correct answer.
Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given in the table.
What is the relationship between the two variables?
Number of Players on the Team Time Taken to Complete Game (in minutes)
32
2
26
3
20
14
5
8
OA positive linear association
OB. exponential relationship
OC. negative linear association
O D.
no relationship

Answers

Answer:

a negative linear association (C)

Re-Written Problem [Formatted]

Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?

Numbers of players on team are going to be 1, 2 , 3, 4, 5.

time taken to complete game (in minutes) 32, 26, 20, 14, 8

(Select the correct answer)

A. Positive linear association

B. Exponential relationship

C. Negative linear association

D. No relationship

----------------------------------------------------------------------------------

Step-by-step explanation:

Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)

[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]

So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.

So, you would see a negative line, showing a negative linear association.

Which of the numbers below are whole numbers? Check all that apply.
A. 29
B. 367.53
C. 71.1
D. 6523
DE 1/2
F. 126

Answers

Answer:

A,D,F

Step-by-step explanation: Because it not a fraction or decimal in it its an whole number

Height of a softball in feet h(t)=3+55+-+16+2

Answers

Answer:

18ft

Step-by-step explanation:

i can't lay out the formula

rotation 180° about the origin

Answers

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).

Step-by-step explanation:

The rotation of angle 180 degree about origin is described below.

Rotation 180° about the origin is a geometric transformation that involves rotating a figure or shape around the point (0,0),

Also known as the origin, by an angle of 180 degrees.

This means that every point on the shape is moved to an equal distance away from the origin but on the opposite side of the origin.

This transformation is a reflection where the shape is flipped along,

the x-axis or y-axis or both, depending on the shape's orientation.

The rotation 180° about the origin is a common transformation in various geometrical applications, such as computer graphics, engineering, and physics.

It is a simple transformation that can be easily represented and performed using matrices or complex numbers.

Therefore,

rotation 180° about the origin is a geometric transformation that is important in various applications and involves rotating a shape around the origin by an angle of 180 degrees, resulting in a reflection of the shape across the x or y-axis.

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Solve the following linear equation:
3(2x + 12) = 2(2x - 10)

Answers

Answer: x = -28

Step-by-Step Explanation:

3(2x + 12) = 2(2x - 10)
3 * 2x + 3 * 12 = 2 * 2x - 2 * 10
6x + 36 = 2 * 2x - 2 * 10
6x + 36 = 4x - 20
6x - 4x + 36 = -20
2x + 36 = -20
2x = -20 - 36
2x = -56
x = -56/2
=> x = -28

Therefore, x = -28
Hey! I decided to write it for you.
Step 1: Distribute
Step 2: Move the x to one side by simplifying
Step 3: Take a way 36 from both sides
Step 4: Divide and simplify

A bacteria population has been doubling each day for the past 5 days. It is currently
100000. What was the population 5 days ago?

Answers

The population was 20,000

A recipe for 8 servings lists: 6 cups spaghetti sauce 4 cups ricotta cheese and 4 cups mozzarella cheese. Determine the amount of ingredients necessary to serve 5 people.

Answers

The amount of ingredients necessary to serve 5 people is 3.75 cups spaghetti sauce, 2.5 cups ricotta cheese, and 2.5 cups mozzarella cheese.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A recipe for 8 servings lists: 6 cups spaghetti sauce 4 cups ricotta cheese and 4 cups mozzarella cheese.

First we take the ratio of ingredients for 8 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese = 6:4:4

The ratio of ingredients for 1 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese = 6/8 : 4/8 : 4/8

The ratio of ingredients for 5 servings:

spaghetti sauce : ricotta cheese : mozzarella cheese

= 5×0.75 : 5×0.5 : 5×0.5

= 3.75 : 2.5 : 2.5

The amount of ingredients necessary to serve 5 people:

3.75 cups spaghetti sauce 2.5 cups ricotta cheese2.5 cups mozzarella cheese.

Thus, the amount of ingredients necessary to serve 5 people is 3.75 cups spaghetti sauce, 2.5 cups ricotta cheese, and 2.5 cups mozzarella cheese.

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What is the surface area of the solid that this net can form?
13 cm
5cm
13cm
5 cm
13 cm
106 square centimeters
150 square centimeters
210 square centimeters
270 square centimeters
O 210
12 cm
12cm
13cm
5cm
5cm
5cm
5 cm

Answers

Answer:C Or 210 Sc

Step-by-step explanation:

What additional information is needed to prove the triangles are congruent by the SAS postulate

Answers

Answer: [tex]\angle XWY \cong \angle ZWY[/tex]

Step-by-step explanation:

We know that [tex]\overline{WY} \cong \overline{WY}[/tex] by the reflexive property, so we need the included angles to be congruent (meaning [tex]\angle XWY \cong \angle ZWY[/tex]

WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE HELP!!!!!

Answers

Answer:

1) Ans; C .

2) Ans; D.

3) Ans; A.

4) Ans; C.

The table lists the test scores William and Andre received on five math assessments.

William’s Scores Andre’s Scores
89
90
97
74
78
73
81
87
91
82
Which statement best describes the difference of the mean of the two data sets?

Answers

statement best describes the difference of the mean of the two data sets 2.8 is about 1.5 times the mean absolute deviation of either set.

What is mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The mean of William's set.

To find the mean, add all of the data points together and divide by the number of data points:

=89+90+97+74+78/5

=85.6

Now, mean absolute deviation,

=|89-85.6|+|90-85.6|+|97-85.6|+|74-85.6|+|78-85.6|/5

= 3.4+4.4+11.4+11.6+7.6/5

=7.68.

The mean of Andre's set.

To find the mean, add all of the data points together and divide by the number of data points:

=73+81+87+91+82/5

=82.8

Now, mean absolute deviation,

=|73-82.8|+|81-82.8|+|87-82.8|+|91-82.8|+|82-82.8|/5

=9.8+1.8+4.2+8.2+0.8/5

= 4.96.

Hence, the difference between the means of the two sets is

85.6-82.8=2.8.

2.8 is about 1.5 times the mean absolute deviation of either set.

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Answer:

Step-by-step explanation:

nothing im just as lost as everyone else

add 6370 square to 6370 square

Answers

i’m not sure if this is what you meant

What is 2 raised to the power of 3?

Answers

Answer:

What is 2 raised to the power of 3?

2 x 2 x 2

= 8

Step-by-step explanation:

Hope this helps.

maria has 2 5/6 yard of fabric Jessica has 3 1/6 yards of fabric how much do they have altogether

Answers

Answer:

Step-by-step explanation:

Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?

Answers

Answer:

Kurt 10    Courtney 10    Mark brainiest

Step-by-step explanation:

I did this too

Answer:

they each have 10 if you count     mark me brainiest, please

Step-by-step explanation:

the price of a barrel oil currently cost $120. Next month if the price increases by 1/12 of the current cost, then what would be the new cost of a barrel of oil?

Answers

Answer:

$130

Step-by-step explanation:

120 x (1 + 1/12) = 120 x 13/12 = 130

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