What is the vertex of the following quadratic equation?
y = 7(x + 5)2 + 4

A. (5,4)
B. (-4,5)
C.(-5, 4)
D. (7,-4)

Answers

Answer 1

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k  [1]

where  ( h , k )  is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4  [2]

We can convert equation [2] into the same form as equation [1] by writing  

+5  as − − 5 :

y = 7 ( x − − 5) ² + 4  [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)


Related Questions

Solve
a.2 (3x - 1) = 40
b.4(2x + 13) = 80

What is x​

Answers

the first answer is 40

then number B is 80 hope this helps

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

Which rational number is negative?
A. 2
B. -12/-18
C. +1/+2
D. +3/-12

Answers

D, the rest are all positive

i don’t know what you tried to put in that image but it’s all black

complete this please, i really need your help ")​

Answers

Answer:

²,2.5,2.5+10,25.0

may it help you

4(−3x+8)=−16 Which value is the solution to the equation below?

Answers

Answer:

I'm 99.9% sure that x=4

Step-by-step explanation:

The answer is X=4 explanation in picture

Three prime numbers that can be multiplied to get 825

Answers

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

last math question for today!!!!​

Answers

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?

Answers

Answer:

the anwer is C

Step-by-step explanation:

I hope its help

You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave

Answers

Answer:

82.2%

Step-by-step explanation:

You gave them $4.11 extra and 4.11 of 5 is 82.2

What is the value of n that makes 10n = 50 true?

Answers

Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The attached shows the matrices and the determinants. The value of x is ...

  x = ∆₁/∆ = -8/-8 = 1

The value of x in the solution to this system of equations is 1.

Answer:

A:  16 3 8 1 / -8 = 1

Step-by-step explanation:

got 100% on "Cramer's rule" edge 2022 quiz

Solve using the quadratic formula. x^2−10x+23=0

Answers

Answer:

x  =  5  ±  √  2

Step-by-step explanation:

Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.

Answers

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

16 + x = 22
Please help

Answers

Answer:

6

Step-by-step explanation:

All you have to do is subtract 16 from both sides!

16+x=22

-16    -16

x=6

I hope this helps, and have a great day! :)

Find the value of x in 2x – 13 = 5 ​

Answers

Answer:

x=9

Step-by-step explanation:

So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9

Hope this helps

Question

Find the value of x in 2x – 13 = 5 .

                                                                                                                                   

ANSWER

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Hence, this information ( x = 9 )

                                                                                                                                -Hope this helped.

please tell me the answer to this

Answers

Answer:

Wow you got s lot of questions wrong

Step-by-step explanation:

PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?

Answers

Answer:

side opposite 30° angle (shorter leg) = 6 cm

 

 side opposite 60° angle (longer leg) = 6√3 cm

Step-by-step explanation:

I'm not 100% sure if this is right but if its wrong i am so sorry.

6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden​

Answers

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible

Answers

Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

The triangles on the grid below represent a translation.

On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.

Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation

Answers

Answer:

B. Vertical Translation only

Step-by-step explanation:

:>

The triangle ABC is vertically translated only. Then the correct option is B.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.

The diagram is given below.

From the diagram, we can clearly observe that the triangle ABC is vertically translated only.

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

1. The function f(x) = -0.05(x2 - 26x - 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)

Answers

Answer:

f(x) represents the vertical height of the cannon

Step-by-step explanation:

The given function is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)

Therefore, we have;

f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6

f(0) = 6

The starting height of the cannon = 6

The maximum height reached by the cannon is given as follows;

f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)

f'(x) = -0.05×(2·x - 26)

f'(x) = 0 At maximum height, therefore, we have;

-0.05×(2·x - 26) = 0

(2·x - 26) = 0

2·x = 26

x = 26/2 = 13

x = 13

f(13) = -0.05·(13² - 26×13 - 120) = 14.45

The maximum height = 14.45

Therefore;

f(x) = The vertical height of the cannon

The drama club sold tickets for the school play at $5 each. A ticket for the dress rehearsal cost $2. The club sold four times as many tickets for the play as for the dress rehearsal. The drama club collected $5148 for the tickets. How many tickets were sold for the dress rehearsal? How many tickets were sold in total?

Answers

ahoj odpoveď je 你好,答案是

Use simple interest to find the ending balance. $215 at 8% for 8 years

Answers

Answer:

$ 352.6

Step-by-step explanation:

SI = P (1 + rt)

= 215 [ 1 + (0.08) x 8]

= 215 (1 + 0.64)

= 215 (1.64)

= $ 352.6

352.6 is the answer to this wusdt

Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?

Answers

Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.

There is a 1/4 chance of these events occurring together.

Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4​

Answers

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

What does the mode represent in a set of numbers?

Answers

Answer:

The mode is the number that shows up the most in the set.

Step-by-step explanation:

1 4 6 3 7 1 1 4 9 1

mode is 1

The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.

Given that,

Define the term 'Mode'.

Since, The mode, in a set of numbers, represents the value that appears most frequently.

It is a measure of central tendency, providing insights into the most common or popular value within the data set.

For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.

In this set, the mode is 5 because it appears more frequently than any other number.

So, The mode, in a set of numbers, represents the value that appears most frequently.

To learn more about the mode visit:

https://brainly.com/question/29288774

#SPJ6

What is the sum of the two fractions below in simplest form.
3 3/8 and 2 1/4

Answers

Answer:

5 5/8

Step-by-step explanation:

This is in the simplest form

Find the area of the isosceles triangle

Answers

Answer:

could you add the picture? then i will edit my answer to give you the actual answer

Step-by-step explanation:

2) What is the value of x? *
15.5
25.5
31
47

Answers

Step-by-step explanation:

2∠BDA = ∠BCA

2 (3x - 15)° = (2x + 32)°

6x - 30 = 2x + 32

6x - 2x = 32 + 30

4x = 62

x = 62/4

x = 15.5

#CMIIW

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