What is the vertex form of the quadratic function that has a vertex at (4,3)
and goes through the point (5, 1)?
A. y= 2(x - 4)^2 +3
B. y = 4(x-4)^2 - 3
C. y=-2(x - 4)^2 + 3
D. y = (x-4)^2 +3

Answers

Answer 1
The answer is the letter c.

Related Questions

Please help i will mark brainliest!​

Answers

Answer:

B and C are the answers

Step-by-step explanation:

Triangle ABC has the angle measures shown.
Which statement is true about the angles?
mzA=20°
mzA=(2x)
m2 = (5x)"
m2 = (11)
mZB=60
Aand 2B are complementary
OmZA+mZC=120

Answers

Answer:

m∠A = 20°

Step-by-step explanation:

Triangle ABC has the following angle measures:

m∠A = 2x°m∠B = 5x°m∠C = 11x°

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

2x + 5x + 11x = 180

18x = 180

x = 180/18

x = 10°

Which makes the angles:

m∠A = 2*10 = 20°

m∠B = 5*10 = 50°

m∠C = 11*10 = 110°

Answer:

A A A A A A A

Step-by-step explanation:

got it correct on edge

What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers? What is the probability of choosing two black markers if the first marker is put back before the second is drawn?

Answers

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

Which number line represents the solutions to [x - 5] = 1?

Answers

Answer:

number line 3

Answer:

i think its the 3rd one

Step-by-step explanation:

because its counting backwards 6ix correct me if im wrong

Please help with this

Answers

Answer:

Choice A

Step-by-step explanation:

SSS is not applicable as only 2 sides are congruentHL is lot applicable as triangles are not right angled (∠A and ∠E >90)ASA also not applicable as the angle should be included but is not

For each of the sequence below identify whether there is a common ratio. If there is identity what it is. If there is not a common ratio type none.

Answers

yes

1.-3

2.3

3.10

4.2

5.3

Barika, Akeelah, and James raised $76.23 for their dance team. James raised twice as much as Barika, who earned 2.60 less than Akeelah. If x = the amount raised by Akeelah, choose the expressions that represent the amount each other player raised. x – 2.60 2x + 5.20 .5x + 2.60 2x – 5.20

Answers

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

Learn more about algebra:

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The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find
what the length of the sides should be. Solve the inequality by showing all of your work.

Answers

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

WILL AWARD BRAINLIEST
HELP FAST !


Statements
Reasons
A
DE || AB
Given
CDES
E
B
CED
Given: DE || AB
Prove: AABC-
ДАВС N
I’m

Answers

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

What is the measure of angle B in degrees? A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees. °

Answers

Step-by-step explanation:

The angle adjacent to 112° will form a straight angle along with 112° adding to 180°. That makes C: 68°

a+c+51 = 180

a+68°+51° = 180°

a+119° = 180°

a = 180° - 119°

a = 61°

a+b = 180°

61+b = 180

b = 180-61

b = 119°

The measure of angle B is 119 degrees.

What is Exterior angle?

Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.

All the exterior angles are of same measure, and therefore, their measure is (360/n)°.

The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes angle C: 68°

Then;

a+c+51 = 180

a+68°+51° = 180°

a+119° = 180°

a = 180° - 119°

a = 61°

Now,

a+b = 180°

61+b = 180

b = 180-61

b = 119°

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Marvin gate bought some fencing from a wholesaler for $6,000. The wholesaler offered a trade discount of 35%. What was the original price?

Answers

Answer:

8100?

Step-by-step explanation:

6000×35%=2100

6000+2100=8100

Answer:

$8100

Step-by-step explanation:

multiply 6000 by 1.35 (135%)

6000 * 1.35 = $8100

Don't mind this:

[tex](x - (0.35 * x)) = 6000[/tex]

[tex]x=9230\frac{10}{13}\\x=9230.769231\\x=9230.77\\x=9230.8\\x=9231[/tex]

Which of the following is the complete factorization of the polynomial below
x3 + x2 - 17x+15

Answers

Answer:

[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

1 is a trivial zero so we can write

[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]

hope this helps

The awnser is directly above me

TIME PEMARENG
59:20
The table represents an exponential function
What is the multiplicative rate of change of the function?
х
1
O 02
0.25
2
3
4
y
0.25
0.125
0.0625
0.03125
O 0.5
O 0.75

Answers

Answer:

Every time x increases by 1, y is multiplied by 0.5. That is the multiplicative rate of change.

Step-by-step explanation:

Well, I am not sure whether this is your question, but I kind of arranged the values into a more clear table.

x          1               2               3              4    

y      0.25         0.125        0.0625     0.03125

To find the rate of change, you want to find what can be multiplied by the y-value to get another y-value as the x-value increases.

For example, you can see that when x is 1, y is 0.25. When x increases by 1, y is 0.125.

0.125 / 0.25 = 0.5. That means that when x increases by 1, y is multiplied by 0.5. You can check this by multiplying the rest of the values and seeing whether they match.

0.125 * 0.5 = 0.0625

0.0625 * 0.5 = 0.03125

Since the pattern continues, you can be sure that the multiplicative rate of change for y is 0.5.

The multiplicative rate of change of the exponential function is 0.5

From the table, we have the following representations

x          1               2               3              4    

y      0.25         0.125        0.0625     0.03125

Divide yn by yn-1, to calculate the multiplicative rate (r) of change of the function

So, we have:

[tex]r = \frac{y_n}{y_{n - 1}}[/tex]

Let n = 2.

So, we have:

[tex]r = \frac{y_2}{y_{2 - 1}}[/tex]

This gives

[tex]r = \frac{y_2}{y_1}[/tex]

Substitute values for y2 and y1

[tex]r = \frac{0.125}{0.25}[/tex]

Divide

[tex]r = 0.5[/tex]

Hence, the multiplicative rate of change of the function is 0.5

Read more about exponential functions at:

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Write the following Arithmetic sequence using an Explicit Formula: a1 = 8, an = an-1 -2

Answers

Answer:

an = 8 - 2*(n - 1)

Step-by-step explanation:

a1 ; .... ; an-1 ; an

r = an - an-1

r = (an-1 - 2) - an-1

r = an-1 - 2 - an-1

r = -2

So:

an = a1 + r*(n - 1)

an = 8 + (-2)*(n - 1)

an = 8 - 2*(n - 1)

The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

As per the given,

First term a₁ = 8

[tex]a_{n} =a_{n-1}-2[/tex]

The common difference between the AP will is,

d = [tex]a_{n} -a_{n-1}[/tex]

d = -2

The nth term of an AP is given as a + (n - 1)d

Thus,

[tex]a_{n}[/tex] = 8 + (n - 1)(-2)

[tex]a_{n}[/tex] = 8 - 2(n - 1)

Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".

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Suppose you rotate a rectangle about an axis parallel to its long edge, but not touching any part of the rectangle. What best describes the solid formed? ANSWERS: A cylinder with an opening down the middle, like a roll of paper towels A cylinder, the empty space is filled in by rotation. A cuboid with an open space in the middle, like a box without a bottom This isn't possible.

Answers

Answer:

A cylinder with an opening down the middle, like a roll of paper towels

Step-by-step explanation:

Since the axis of rotation does not touch the cylinder, you end up with a hollow cylinder similar to a pipe.

Answer: A cylinder with an opening down the middle, like a roll of paper towels

simplify this algebraic expression.

Answers

Answer:

Option A

Step-by-step explanation:

=> x - 5/5 + 10

=> x - 1 + 10

=> x + 9

Answer:

x+9.

Step-by-step explanation:

x-5/5+10.

PEMDAS

D=division.

divide -5/5.-1

x-1+10

-1 plus 10 is 9.

So, x+9.

Hope this helps!

(5x - y - 3z) + (3x - 2y - 6z)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

8x - 3y - 9z

▹ Step-by-Step Explanation

(5x - y - 3z) + (3x - 2y - 6z)

Remove the parentheses

5x - y - 3z + (3x - 2y - 6z)

Collect like terms

8x - y - 3z - 2y - 6z

Final Answer

8x - 3y - 9z

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 8x - 3y - 9z

Step-by-step explanation:

(5x - y - 3z) + (3x - 2y - 6z)

Remove Parenthesis

5x - y - 3z + 3x - 2y - 6z

Add Like Terms

8x - 3y - 9z

Suppose your allowance is $2 now, and it will
double every week. Write an exponential expression for your allowance 20 weeks from
now. Then use your calculator to calculate your allowance at that time.​

Answers

An exponential expression to represent your allowance 20 weeks from now would be:

2^20

This is correct since we are basically multiply 2 by itself for twenty times.

Now, we solve it.

2^20 = 1048576

Thus, your allowance by the end of 20 weeks is $1,048,575.

You would be a millionaire by then.

Answer: f(x) = 2(2)ˣ

              f(20) = $2,097,152

Step-by-step explanation:

Use the exponential formula:  f(x) = a(b)ˣ   where

a = initial (starting) amountb = ratex = time

Given: a = 2, b = 2

Equation: f(x) = 2(2)ˣ

                f(20) = 2(2)²⁰

                         = 2,097,152

Please help ASAP

These dogs show hourly earnings for a sample of workers in two different careers

Answers

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

What is Center and Spread ?

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

To know more about Center and Spread

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Answer:

A and D

Step-by-step explanation:

A bakery mixes cookie dough in large batches. For chocolate chip cookies, 10 cups of sugar and 20 cups of flour are needed

Answers

Answer:

around 30

Step-by-step explanation: dont quote me though

In which number does the digit 7 have a value that is 10 times as great as the digit 7 in the number
0.9752

Answers

Answer:

9.752

Step-by-step explanation:

9.752 Answer:

Step-by-step explanation:

A rider sits on a motorcycle. The motorcycle has a mass of 237 kilograms.The rider has a mass of 89 kilograms. What is the total mass of the motorcycle and the rider????

Answers

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

Apply this definition and the properties of exponents to represent the expression 7 3/4 in radical form

Answers

Step-by-step explanation:

7^3/4=

[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]

=

[tex] \sqrt[4]{343} [/tex]

What’s the evaluation to 5x(2) + x for x =3

Answers

Answer:

48

Step-by-step explanation:

5 x^2 +x

Let x = 3

5 * 3^2 +3

Exponents first

5 * 9+3

Multiply next

45+3

48

Answer:

33

Step-by-step explanation:

If x=3, we have to plug it into 5x(2)+x.

1: Plug it into the equation

(5(3))(2)+3

2: Mutiply it all out

15(2)+3

30+3

33

Hope this helped!  :)

Simplify the given expression. 2x^2-2/x/2(x^2+9)/16x^2-29x

Answers

Answer:

work is shown and pictured

here solution and the steps

What is the x-intercept of y=x^2+6x-8

Answers

Answer:

(4,0) , (2,0)

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

The answer is (4,0) (2,0)

Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 4 to 2. Tia wants to sell a total of 54 apples and oranges. How many apples should she sell?

Answers

Answer:

Tia should sell 4(9), or 36, apples

Step-by-step explanation:

Find the value of the multiplier, p, that makes 4a + 2a = 54:  a turns out to be 9.  Then 4(9) + 2(9) = 54 is correct.  Tia should sell 4(9), or 36, apples and half as many oranges, or 18.  Note that 36 + 18 + 54.

What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2 ?

Answers

You have to solve the problem to figure it out

i urgently need help

Answers

Answer: 75/8=9.37500

Answer:

9.25 - 1/2 + 3/8

First convert the decimal to fraction

Thus

9.25 = 37/4

37/4 - 1/2 + 3/8

Find the common denominator

the common denominator is 8

We get

37/4 - 1/2 + 3/8 = (37(2) - 4 + 3) /8

= 74 - 1 / 8

= 73/8 or 9 1/8

Hope this helps

Can someone please help me with this

Answers

Answer:

13)5m-10

14)8y+16

15)-3m-12

16)a²+3a

17)h²-2h

18)2m²+8m

19)-2z+16

20)-4x²+40x

21) 12x and 60

22)x and 4

13.5m-10
14.8y+16
15.-3m-12
16.a^2+3a
17.h^2-2h
18.2m^2+8m
19.-2z+16
20.-4x^2+40
21. sum 2x+46
product 60x
22 sum 2x+18
product20x
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