Given y = (2x + 3)2, choose the standard form of the given quadratic equation. 0 = 25x2 0 = 4x2 + 9 0 = 4x2 + 10x + 6 0 = 4x2 + 12x + 9 Identify the values of a, b, and c. a = b = c =

Answers

Answer 1

Answer:0=4x^2+12x+9

Step-by-step explanation:

Answer 2

The standard form of the quadratic equation is y = 4x² + 12x + 9. Then the correct option is D. And the value of a, b, and c will be 4, 12, and 9.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

y = (2x + 3)²

Simplify the equation, then we have

y = 4x² + 12x + 9

Then the correct option is D.

Compare the equation with standard equation, then we have

a = 4

b = 12

c = 9

More about the quadratic equation link is given below.

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Related Questions

(04.07A) A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2x + 10

Answers

Answer:

1 over 2x+6y=2x+7y=

Step-by-step explanation:

Answer:

1 over 2x+6y=2x+7y=

Step-by-step explanation:

1 over 2x+6y=2x+7y=

If the inequality is greater than/greater than or equal to the shaded region is above the line.
True or False

Answers

Answer:

true but could you help me https://brainly.com/question/19430139

Step-by-step explanation:

Nicole, Justin, and Shen have a total of $85 in their wallets. Shen has 2 times what Justin has. Nicole has $9 more than Justin. How much does each have?

Answers

Answer:Nicole has $94, shen has $170 and justuin has $85

Step-by-step explanation:

85+9=94 85 times 2= 170

Answer:

Step-by-step explanation:

Justin has 19

Nicole has 28

Shen has 38

SOMEONE HELP ME PLEASE EASY

Answers

Answer: 2,2 is not a solution

Step-by-step explanation:

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold. $836 = $11t What is the unit rate in the equation above?

Answers

Answer:

76

Step-by-step explanation:

We were given The equation below which shows how much money was raised with t tickets sold. $836 = $11t

Mathematically, unit rate is How much of something per 1 unit of something else

$836 = $11t

Then we can get the value for "t" as

t= 836/11

t= 76

Hence, Unit rate is 76

Evaluate 6 + x when x=3.​

Answers

Answer: that equals 9

Step-by-step explanation:

convert 0.16 liters to milliliters

Answers

160 milliliters is the answer .

0.16 liters in terms of mililiters is equal to 160 ml

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: 0.16 liters

Now we know 1 liter= 1000 ml

Thus 0.16 liter would be equal to 0.16×1000=160 ml

Hence, 0.16 liters in terms of mililiters is equal to 160 ml

Learn more about the unitary method here:

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Mrs. Driggers went to Target to purchase the new movie Frozen for her girls. The original price was $20, but
it is on sale for 10% off.
9. How much will Mrs. Driggers save by purchasing the movie at Target?
a. $0.20
b. $0.02
C. $2.00
10. How much will the movie cost Mrs. Driggers (before tax)?
a. $19.80
b. $18.00
C. $19.98
11. If she purchases the movie in Summerville, Mrs. Driggers will pay 8.5% sales tax. How much sales tax
will she have to pay on the movie?
a. $1.68
b. $15.30
C. $1.53
12. What is the total cost for the movie from Target in Summerville (including tax)?
a. $19.53
b. $33.30
10cn

Answers

Answer:

9. C. $2.00

10. B. $18.00

11. C. $1.53

12. A. $19.53

Step-by-step explanation:

10%, or 1/10th of 20 dollars is 2 dollars.

The movie, therefore, will cost 2 dollars less, or 18 dollars before tax.

To find tax, multiply the total (after price reduction) by the percentage tax (as a decimal, 0.085%), which gives you 1.53.

Add the tax and the initial cost together to get the total cost.

The answer is
C
B
C
A

Write a congruence statement for the pair of triangles. Name the postulate or theorem that justifies your statement.

Answers

Answer:

The answer choice that you have chosen is correct

Step-by-step explanation:

On a coordinate plane, 2 triangles are shown. Triangle F D E is a right triangle and has points (1, 0), (1, 3), and (5, 0). Triangle Q R P is a right triangle and has points (negative 1, negative 2), (negative 1, negative 5), and (negative 5, negative 2). Are ΔDEF and ΔRPQ congruent? Yes. ΔDEF can be mapped to ΔRPQ by a reflection across the x-axis followed by a translation 2 units left. Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down. No. ΔDEF cannot be mapped to ΔRPQ by a rigid transformation or combination of rigid transformations.

Answers

Answer:

Yes

ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down

Step-by-step explanation:

The coordinates of the vertices of the triangles are;

F(1, 0), D(1, 3), and E(5, 0), and Q(-1, -2), R(-1, -5), and P(-5, -2),

Length of FD = √((3 - 0)² + (1 - 1)²) = 3

Length of DE = √((5 - 1)² + (0 - 3)²) = 5

Length of FE = √((5 - 1)² + (0 - 0)²) = 4

For triangle QRP, we have;

Length of QR = √((-5 - (-2))² + (-1 - (-1))²) = 3

Length of RP = √((-5 - (-1))² + (-2 - (-4))²) = 5

Length of PQ = √((-5 - (-1))² + (-2 - (-2))²) = 4

For a reflection across the x-axis, we have;

For a rotation of 180° about the origin, we have;

For a coordinate of the preimage before reflection of (x, y), the coordinates of the image after reflection is (-x, -y)

When followed by a translation 2 units down, we have the coordinates of the image will be (-x, -y-2)

Therefore;

For the points F(1, 0), D(1, 3), and E(5, 0) on triangle FDE, we have;

Rotation 180° about the origin gives;

F(1, 0) → Rotation by 180° → F'(-1, 0)

D(1, 3) → Rotation by 180° → D'(-1, -3)

E(5, 0) → Rotation by 180° → E'(-5, 0)

For a translation 2 unites of the coordinates of the vertices of the above triangle ΔF'D'E',

F'(-1, 0) → Translation 2 units down → F''(-1, -2)

D'(-1, -3) → Translation 2 units down → D''(-1, -5)

E'(-5, 0) → Translation 2 units down → E''(-5, -2)

The coordinates of the vertices of triangle ΔF''D''E'' are equivalent to the coordinates of the ΔQRP

Therefore, ΔDEF, and ΔRPQ are congruent, because ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.

Answer:

Yes

ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down

Step-by-step explanation:

-19=-17+k/5 please show work

Answers

Answer:

Step-by-step explanation:

-19=-17+k/5

add 17 to both sides

-2=k/5

multiply by 5 on both sides to get k alone

k=-10

Answer:

okay so if - 19 is equal to 17 + k divided by 5, first you figure out what you have to do to 17 to get -19. in this case, all you do is subtract 17 from 17 to get 0, then subtract 19 from 0 to get -19. then you add 17 and 19 to see how much you subtracted from 17 to get -19, so you subtracted 36 from 17. now you add the - sign to the 36 so that means instead of subtracting a positive number you're adding a negative number (it has the same effect) so you now need to know what, when divided by 5, equals -36. so just multiply -36 by five to get -180. so k = 170

Step-by-step explanation:

-19 = 17 + -180/5

-180/5 is -36

-19 = 17 + -36

17 + -36 = -19

-19 = -19

(sorry this is a lot of info but its harder to explain if i cant say a lot)

Given f(x)=x^3+kx-2, an x−1 is a factor of f(x), then what is the value of k?

Answers

Answer:

The value of k is 1

Step-by-step explanation:

If x-1 is a factor, if we equate x - 1 to 0 and substitute the value of x

Then, we should have 0 as the f(x) value

so;

x-1= 0

x = 1

Substitute this

0 = 1^3 + k(1) - 2

0 = 1 + k-2

0 = k-1

k = 1

Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package. If we want one hot dog for each bun for a picnic, what is the least amount of each we need to buy? help plz

Answers

Answer:

we need to buy 8 packs of hot dogs and 10 packs of hot dog buns

Step-by-step explanation:

A-alternate interior angles
B-same side interior angles
C-corresponding angles
D-alternate exterior angles

Answers

Answer:

alternate interior angles

Step-by-step explanation:

They are on opposite sides of the line and they are equal to each other

The answer is the letter A

Hello, I need help with D. I am doing algebraic simplification.

Answers

Answer:

10x+88

Step-by-step explanation:

8x+80+2x+8

10x+88

Answer:

88+10x

Step-by-step explanation:

8x+80+2x+8= 88+10x

Hope this helps :D

P.s~ Could you give meh brainliest pls? TYSM if u do its ok if u don't :3

ILL MARK U BRAINLIEST!!

Answers

Answer:

American Revolution!!!

Step-by-step explanation:

Key words- COLONISTS- INDEPENDANCE BRITAN

Answer:

american revolution

Step-by-step explanation:

its the first time that the britian fought the americans

Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.

Answers

Answer:

The width of the rectangle is 7 units

Step-by-step explanation:

Here, we want to find the width of the rectangle

Mathematically, the area of the triangle is length * width

(2x + 1)(2x-1) = 35

4x^2 - 1 = 35

4x^2 = 36

x^2 = 9

x = 3

Substituting 3 in 2x + 1

we have 2(3) + 1 = 6 + 1 = 7 units

1.
ALGEBRAICALLY solve each system of equations below. Show all of your work!
a. 7x - y = 98
3x-5y=10
b. x + 3y = 4
x = 6 - 27

Answers

Answer:

a. y = 7x-98  

y =-3/5x-2  

b. y =-1/3x+4/3  

x =-21

Step-by-step explanation:

a.  7x - y = 98

98 - 7x

-y = -7x + 98

divide by -

y = 7x - 98

3x - 5y = 10

10 - 3x

-5y = -3x + 10

divide by -5

y = -3/5x - 2

b.  x + 3y = 4

4 - x

3y = -1x + 4

divide by 3

y = -1/3x + 4/3

x = 6- 27

x = -21

JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?

Answers

Answer: $9.20

Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.

Answer:

$1.20

Step-by-step explanation:

He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.

He wants to leave 115% of the $8 he has to leave.

So you set it up like

x/8 = 115/100

Then you solve for x

8(115) = 920

920/100 =9.2

So he will leave $9.20.

It then asks for just how much the tip is that he will leave so

9.2 - 8 = 1.2

So the tip is $1.20.

Need help with this please

Answers

Answer:

55 degrees.

Step-by-step explanation:

ok so first off we know altogether the angles of a triangle have to equal 180 degrees total we have one thats 80 so the other two together must be 100 given that information we can make the equation 7x+6+3+6x=100 we simplify to get 13x+9=100 after moving it around you get 13x=91 solve the equation by dividing both sides by 13 to get x=7, but we are not done we have to solve for angle A by inputting the X so we get angle A=55 degrees

Answer: D) 55 degrees

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

Work Shown:

A+B+C = 180 ..... angles of a triangle add to 180

(7x+6) + (80) + (3+6x) = 180

13x + 89 = 180

13x = 180-89 .... subtract 89 from both sides

13x = 91

x = 91/13 .... divide both sides by 13

x = 7

Use this x value to find the missing angle measures.

angle A = 7x+6 = 7*7+6 = 55

angle C = 3+6x = 3+6*7 = 45

Note that,

A+B+C = 55+80+45 = 180

which helps confirm our answer.

I need help with 3,b

Answers

You can use common denominators by finding a common factor. One would be to multiply 7 by 5 and 5 by 7 to get the common denominator 35. You have to multiply both numerator and denominator. This will help you find out who’s performance is better.

A rental company gives two options for the daily cost of a car. One option is to pay $20 a day, and the cost equation that models SSC equals 20 X, where X is the number of days of cars rented. The second option is to pay eight dollars a day plus an initial fee of $80, and the cost equation that models this is C equals a X plus a D. When is the pricing method with the initial feel better value?

Answers

Answer:

After 7 months of payment.

Step-by-step explanation:

First option = y = 20(7) + 0

= 140

Second option: y = 8(7) + 80

= 136

Find the measure of the missing angle.
34°

Answers

the answer is 56 degrees

3. Victoria counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of canned food that are missing 5 cans. Victoria records a total of 220 cans of food. Use c to represent the number of cans in a full case. What expression could represent the number of cans in each case that is missing cans?​

Answers

Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.

Answer:

16c + 4(c-5) = 220

Step-by-step explanation:

What is the constant of variation in the equation y=3/4x?

Answers

Answer:the answer is 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Combine 34 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 34

Calculate the average rate of change of f (x) = 3x2 + 2x + 5 on the interval (0, 2).
A. -1
B. 8
C. 38
D. 128

Answers

The average rate of change of a continuous function f(x) in an interval (a, b) is

(f(b) - f(a)) / (b - a)

So for

f(x) = 3x ² + 2x + 5

on the interval (0, 2), we have

f (2) = 3 • 2² + 2 • 2 + 5 = 21

• f (0) = = 3 • 0² + 2 • 0 + 5 = 5

so that the average rate of change is

(f (2) - f (0)) / (2 - 0) = (21 - 5) / 2 = 16 / 2 = 8

and the answer is B.

WILL GIVE BRAINLIEST PLEASE ANSWER

Answers

Answer:

7 Units

Step-by-step explanation:

the equation of th a line given by y = mx + b is also called

Answers

Answer:

slope intercept form

Step-by-step explanation:

Slope intercept form

f(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7

g(x) -f(x)


please explain i dont understand.​

Answers

Answer:

[tex] {5x}^{2} + 6x = - 8[/tex]

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

[tex] { - 12x}^{2} - 15x + 7 - ({ - 7)x}^{2} + 9x - 15[/tex]

Now we can solve for the equation.

[tex] { - 5x}^{2} - 6x - 8 = 0 \\ {5x}^{2} + 6x = - 8[/tex]

if 5=x, solve the following equation: 2 x

Answers

Answer:

10

Step-by-step explanation:

2x

2(5)

= 10

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