PLEASE ANSWER!!

A quadratic function is shown on the graph.

A. Write an equation to represent the function in vertex form.

B. Write an equation to represent the function in standard form.


PLEASE ANSWER!!A Quadratic Function Is Shown On The Graph. A. Write An Equation To Represent The Function

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

A

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (1, - 4 ) , then

y = a(x - 1)² - 4

to find a substitute the coordinates of any other point on the graph into the equation.

using (0, - 3 )

- 3 = a(0 - 1)² - 4 ( add 4 to both sides )

1 = a(- 1)² = a ⇒ a = 1

y = (x - 1)² - 4 ← in vertex form

B

the equation of a quadratic in standard form is

y = ax² + bx + c ( a ≠ 0 )

using the result from A

y = (x - 1)² - 4 ← expand the factor using FOIL

  = x² - 2x + 1 - 4

y = x² - 2x - 3 ← in standard form


Related Questions

6.) A voicemail system password is 1 letter
followed by a 3-digit number less than 600.
How many different voicemail passwords are
possible?

Answers

Answer:

15600

Step-by-step explanation:

26 x 6 x 10 x 10 = 15600

There are 15600 different possible choices of voicemail passwords.

What is a permutation?

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

According to the fundamental counting principle, there are 26 choices of letters and 600 different digits of numbers,

So, the Count of possibilities as

⇒ 26 x 600

15600

Hence, there are 15600 different possible choices of voicemail passwords.

Which expression represents “12 less than the product of n and 5”?

Answers

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

               Which expression represents "12 less than the product of n and 5"?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

12-5n

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        First of all, the "product" indicates that you multiply these           numbers.

Here we are asked to multiply a number n times 5. This can be written as follows:

[tex]\red{\textsf{\textbf{5n}}}[/tex]

Now, "12 less" indicates that we subtract 12 from something; in this case, this "something" is 5n:

[tex]\red{\textsf{\textbf{\underline{\underline{12-5n}}}}[/tex]

Good luck.

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

rek is attending a four-year college. His tuition for one year derek is attending a four year college.his tuition for one year is $12,400 and his family is going to contribute $4,120.
w much does Derek need to save each month his junior and senior year of high school (two full years) to pay for the first year at
four-year college?
A. $516.67
B. $345.00
C. $172.50
D. $258.34

Answers

The correct answer is B.

The tuition is $12,400
His family pays $4,120
12,400 - 4,120= 8,280
8,280 divided by 24(months)= $345

find all the positive integers less than 1000 that are divisible by 2,3,5 and 7

Answers

210, 420, 630, 840
multiples of 2*3*5*7
210, 420,630, 840 multiply of 2*3*5*7

witch value from the set {3,8,9,14} makes the euation true 2n-5=

Answers

The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

2n - 5 = 11

When n = 3:

2(3) - 5 = 1 ≠ 11

When n = 8:

2(8) - 5 = 11

When n = 9:

2(9) - 5 = 13

When n = 14:

2(14) - 5 = 23

The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8

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pls help (it is for a frend)

Answers

Answer:

76.02%

Step-by-step explanation:

Took the test

Mark brainliest :)

A real estate agent earns 2.7% in commission on sales. If the agent had $3,827,820 in sales last year, approximately how much did the agent earn in commission?

A:103,351 dollars
B:10,335 dollars
C:1,033,551 dollars
D:1,034 dollars

Answers

the answer to this is A..............

What is the slope of a line parallel to the line whose equation is x+2y=-14x+2y=−14. Fully simplify your answer.

Answers

Answer:

x+2y=-14x+2y=-14

x+14x+2y-2y=-14

15x+0=-14

15x=-14

15x/15=-14/15=-7/5

x=7/5.

Step-by-step explanation:

Before you start calculating the following . You need to group like terms .Also when you are moving the numbers to the other side and it is negative you need to change it to positive . Also when you are changing it to the other side and it is positive you need to change it to negative.Thank you for the question

4 Write a recursive formula for the sequence below.
f(1) = 3, f(2) = 7, f(3)=11, f(4)=15

Answers

Answer:

aₙ = aₙ₋₁ + 4

Step-by-step explanation:

Finding the common difference (d) :

d = f(2) - f(1)d = 7 - 3d = 4

Hence, the recursive formula :

aₙ = aₙ₋₁ + 4

does someone mind helping me with this question? Thank you!

Answers

Answer:

I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!

It says a^2 + b^2 = c^2

We can substitute what we do have which is a = 10 and c = 15

10^2 + b^2 = 15^2

Now we square it

100 + b^2 = 225

Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D

Step-by-step explanation:

Given:Hypotenuse ( c )= 15Side 1 ( a )= 10To find:

The length of "b" using Pythagoras Theorem.

Solution:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {10}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex]b = {15}^{2} - {10}^{2} [/tex]

[tex] {b}^{2} = 125[/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = 11.18033989[/tex]

[tex]b = 11.2 \: (nearest \: tenth)[/tex]

Therefore, the length of "b" is 11.2

Expand and simplify (5x+2)(2x+3)

Answers

Answer:

10ˣ² +19ˣ + 6

Step-by-step explanation:

5ˣ(2x + 3) + 2 (2x + 3 )

10x² + 15x + 2(2x + 3 )

10x² + 15x + 4x + 6

= 10x² + 19x + 6

(5x+2)(2x+3)

5x(2x+3) + 2(2x+3)

10x^2 + 15x +2(2x +3)

10x^2 + 15x + 4x +6

Add like terms

15x + 4x= 19x

10x^2 +19x +6

4 of 10
As an estimation we are told 5 miles is 8
km.
Convert 100 km to miles.
miles

Answers

8km=5miles

1miles= 5/8=0.625mile

100km = 100x0.625=63.5 miles

[tex]\sf Solve \;it \; with \; steps:-[/tex]
[tex]\bf 3\left(2x+2\right)=\:4x-10[/tex]

~ frεε

Answers

Answer:

[tex]\boxed{\sf \bold{x = -8}}[/tex]

Explanation:

3(2x+2)= 4x -10

apply distributive method: a(b+c) = ab + ac

3(2x) + 3(2) = 4x - 10

multiply

6x + 6 = 4x - 10

subtract both sides by 4x

6x + 6 - 4x = 4x - 10 -4x

simplify

2x + 6 = -10

subtract both sides by 6

2x + 6 -6 = -10 -6

simplify

2x = -16

divide both sides by 2

x = -8

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve :} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3(2x + 2) = 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + 6 = 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 4x = - 10 - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = - 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 16 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 8[/tex]

[tex] \textsf{Hence, value of x is -8} [/tex]

y²+y-20 can sb answer this

Answers

Answer:

STEP ONE.

Use the sum-product solution.

y² + y - 20

y² + 5y - 4y - 20

STEP TWO.

Common factors from the pairs.

y² + 5y - 4y - 20

y (y + 5) - 4 (y + 5)

STEP THREE.

Rewrite in factored form.

y (y + 5) - 4 (y + 5)

(y - 4) (y + 5)

SOLUTION

(y - 4) (y + 5)

Step-by-step explanation:

hope this helped !! good luck and make sure to always stay safe and happy !

you got this !!

(y + a)(y + b) = y^2 + (a + b)y + ab
We need two factors of -20 that sum to +1
That would be 5 and -4
y^2 + y - 20 = (y + 5)(y - 4)

What is the volume?
8 in
8 in
8 in
cubic inches

Answers

ANSWER

512 cubic inches



EXPLANATION

Since the formula for volume is LWH 8*8*8 is 512. So your answer is 512.

-4(x-4)=-44
Please answer this with how you got the answer.

Answers

Answer: x = -15

Step-by-step explanation:

Think PEMDAS

First, we factor the parenthesis:

-4 (x-4) = -4(x) + -4(-4)

now we are left with -4x + 16 = -44

Next is to isolate the "x":

to do this, we must subtract 16 from -44

-44 - 16 = 60

now we have -4x = 60

Now we divide both sides by -4 in order to isolate "x"

dividing -4x/-4 = x

diving 60/-4 = -15

the answer is x= -15

the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

Answers

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:  

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180

use the diagram below to solve for x

Answers

Answer:

see the attachment!

#CarryOnLearning

Can somebody please help

Answers

Answer:

It is the third one.

Step-by-step explanation:

h=V/πr² because when you transpose for h, you will be dividing both sides by πr², leaving you with h on one side, and V/πr² on the other. I don't know if this is detailed enough.

Can someone help with this?

Answers

Answer:

4 < n < 130.

Step-by-step explanation:

n is a positive integer

n^100 > 2^200

2^2*100 = 2^200

4 ^100 = 2^200

So n > 4

(130n)^50 > n^100

130^50 * n^50 > n^100

130^50 > n^50

130 >n

so n < 130.

can i get some help please the ordered pair (__ __) represents the cost of 6 pounds of noodles

Answers

Pounds of noodles is along the bottom which is the X value. The cost is on the side which is the y value.


6 pounds would be the x, find the cost on the graph, which is shown but the dot, 15


answer : (6,15)

x^8+x^4+1−(24)(7)−45 simplify ​

Answers

given:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

to find:

the simplest form.

solution:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]

[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]

[tex] = {x}^{8} + {x}^{4} - 212[/tex]

$3000 principal earning 5%, compounded semi-annually, after 20 years.

Answers

Answer:

$ 8055.19

Step-by-step explanation:

interest per period   .05 /2 = .025

periods = 20 * 2 = 40 periods

3000 ( 1+.025)^40 =

The circumference of a circle is 24 feet. What is the approximate length of the radius? Round to the nearest tenth​

Answers

given:

circumference= 24 feet

to find:

the radius of the circle.

solution:

[tex]c = 2\pi \: r[/tex]

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{24}{2 \times \pi} [/tex]

[tex]r = 3.81972[/tex]

[tex]r = 3.8 \: ft[/tex]

therefore, the radius of the circle is 3.8 feet.

Answer:

3.80

Step-by-step explanation:

The circumference has /pi and diameter

lets just say pi is 3.14

24/3.14 = 7.64

that means the diameter is 7.64

Radius is half, or 1/2 of the diameter

7.64/2 = 3.82

radius = 3.82

3.82 rounded is 3.8

A spool with 18 feet of ribbon will be cut into 8-inch segments. how many 8-inch segments can be cut from the spool of ribbon?

Answers

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25

Answers

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

A polygon is graphed in the coordinate plane. The coordinates of the polygon's vertices are listed.
(2, 2)
(-6, 5)
(-6, -4)
(0,0)
which graph shows the polygon?

Answers

The coordinates (2, 2),(-6, 5),(-6, -4),(0,0) are well defined in the Graph 4.

The correct option is (D)

What is a Graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given Coordinates are: (2, 2),(-6, 5),(-6, -4),(0,0)

The above coordinates are well defined in the Graph 4.

Hence, the correct graph is (d)

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helpppppppp asap 89points

Answers

Answer:

the answer for the first is the second one

and the answer for the second is 9>6

Step-by-step explanation:

9 is greater than (>) six

and when plotted you can see that 9 is to the right of -6

hope i helped!

Answer:

Please find attached the completed number line.

9 is a positive number.  Start at zero and count 9 increments to the right.

-6 is a negative number.  Start at zero and count 6 increments to the left.

(a) 9 is located to the right of -6

(b) 9 > -6

please help with the picture below

What value of X will make line 1 parallel to line 2

A. 32
B.58
C.72
D.148

Answers

Answer:

Step-by-step explanation:

Remark

The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20  must equal 52. That's all you have to do. Just equate the 2 givens and solve.

Givens

x - 20 is one angle

52 is the other.

Solution

x - 20 = 52                   Add 20 to both sides.

x - 20 + 20 = 52 +20   Combine

x = 72

Answer: C

write algebraic expressions to represent the following:
a) the sum of x and y b) the product of m and 7
c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

Answers

Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) [tex]\frac{n - 3}{4}[/tex]

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

[tex]\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

            write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

x+y

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

7m

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

3m

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

[tex]\bold{\dfrac{3-n}{4}}[/tex]

Good luck with your studies.

         [tex]\rule{200}{1}[/tex]

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