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Hey! I really need help figuring this problem out. I have a test in a few hours and I don't know how to find the answer to questions like these, I would really appreciate it if you show your work so I can figure out how to solve these myself. Thank you!

Answer:

x=-1

y=15

Step-by-step explanation:

This works because completing the square is essentially demonstrating what g(x)  - where g(x) in this case = x^2 - would have to be translated by to give the function you have.

So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

[tex]y = a{(x - h)}^{2} + k [/tex]

Where the a-term determines how wide, narrow, upward or downward the graph is.

The h-term determines the horizontal shift of graph. (x-axis)

The k-term determines the vertical shift of graph. (y-axis)

The vertex of graph is at (h,k). We can find the vertex by using the given formulas.

From the equation, the coefficients are:

[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]

Substitute these values in the formulas.

Find the value of h

[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]

Hence, the value of h is 6.

Find the value of k

[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]

Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form

[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]

Since the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:

[tex] \large{(h, k)=(6, 5)}[/tex]

(6,5) is the vertex.

Answer:

12x - 12

Step-by-step explanation:

4(3x)= 12x

-2 x 6 = -12

And since you are taking away 12 it works.

( Have a nice day hope this helps)

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

Answer:

to get the exam fee

$112•97 ÷ 2

45•49

$272•93 ÷ 3

56•49

Answer:

A. American Ampersand

Step-by-step explanation:

Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.

Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.

A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.

By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.

Read more on graphs here: brainly.com/question/25875680

#SPJ2

Answer:

where is the pic of the graph?

Answer:

the top answer in your picture is the right answer

Step-by-step explanation:

Answer:

£4 and £6

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

So, 2x and 3x are the two parts of £10.

Hence,

2x + 3x = 10

5x = 10

x = 10/5

x = 2

2x = 2*2 = 4

3x = 3*2 = 6

Hence, the two parts of £10 are £4 and £6.

Answer:

770

Step-by-step explanation:

So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770.      :D

Answer:

6 minutes, and 8 seconds

Step-by-step explanation:

You can simply get this answer by dividing .34 by 5.;)

Answer:

14.4

Step-by-step explanation:

We can use the pythagorean theorem (a^2 + b^2 = c^2, c being the longest length) to solve this answer.

16^2 - 7^2 = a

256 - 49 = 207.

the square root of 207 is 14.3874...

Rounding to the nearest tenth makes the answer 14.4

Answer: x=4 and y=3

Step-by-step explanation:

We start eliminating the same numbers with the same variable. So we take out 5y on both equation. We then subract 3x to 6x and we do the same to the right side. We end up having 3x=12 and then we divide 12/3=4. We plug 4 on the x values in one of the equation to find out the y value on that equation. You end up with y=3 and then plug that in the same equation on both to see if its right. Finally after that its correct.

Answer:

A) right. B) legs. C) hypotenuse. D) taking the square root.

Step-by-step explanation:

I am very familiar with the Pythagorean Theorem.

you can verify my answers by reviewing the Pythagorean theorem

plz mark me brainliest. ;)

Answer:

4.5x-25.6

Step-by-step explanation:

Hey there!

4.3x – 8.1 + 0.2x – 17.5

COMBINE your LIKE TERMS

(4.3x + 0.2x) + (–8.1 – 17.5)

4.3x + 0.2x = 4.5x

–8.1 – 17.5 = –25.6

Answer: 4.5x – 25.6 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

20/24

Step-by-step explanation:

If you simplify, you get 5/6.

Answer:

x = [tex]\frac{22}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7+x}{3}[/tex] = 2x - 5 ( multiply both sides by 3 to clear the fraction )

7 + x = 3(2x - 5) ← distribute

7 + x = 6x - 15 ( subtract x from both sides )

7 = 5x - 15 ( add 15 to both sides )

22 = 5x ( divide both sides by 5 )

[tex]\frac{22}{5}[/tex] = x ( x = 4.4 )

Answer:

Candies

l = 25b                                       r = b(25 + 3)

Example: b = 10 bags

                l = 25 x 10                                 r = 10(25 + 3)

                l = 250 candies                         r = 10 x 28 = 280 candies

Bags

r = l + 3

Examples:     r = 15 bags                    l = 15 bags

                      15 = l + 3                         r = 15 + 3

                      15 - 3 = l + 3 - 3              r = 18 bags

                      12 bags = l              

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

Answer:

Z=16

Step-by-step explanation:

just add 12 to both sides so you are left with only Z on one side

Answer:

=16

Step-by-step explanation:

Simplifying

z + -12 = 4

Reorder the terms:

-12 + z = 4

Solving

-12 + z = 4

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + z = 4 + 12

Combine like terms: -12 + 12 = 0

0 + z = 4 + 12

z = 4 + 12

Combine like terms: 4 + 12 = 16

z = 16

Simplifying

z = 16

Answer:

x = -8

Step-by-step explanation:

11x– 1 = -89

Add 1 to each side

11x– 1+1 = -89+1

11x = -88

Divide each side by 11

11x/11 = -88/11

x = -8

9514 1404 393

Answer:

  26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

  an = (a1)r^(n-1)

The first term is 4, so we have ...

  an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

  a9 = 4·(-3)^(9-1) = 4·3^8

  a9 = 26,244

_____

Additional comment

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

Answer:

13

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle

Answer: 4f^2 -4f+1

Step-by-step explanation:

2f-1)^2

This is equal to

(2f-1) * (2f-1)

FOIL

first: 2f*2f = 4f^2

outer: 2f*-1 = -2f

inner: -1*2f = -2f

Last = -1*-1 = 1

Add them together: = 4f^2 -2f-2f+1

Combine like terms 4f^2 -4f+1

Answer:

(2f-1)(2f-1)

2f^2-2f-2f+1

2f^2-4f+1

Answer:

61 feet

Step-by-step explanation:

We can use the pythagorean theorem to solve this answer (a^2 + b ^2 = c^2, c= longest length)

50^2 + 35^2 = 61.03.

Rounded to the nearest whole number, the answer is D.

Answer:

C

Step-by-step explanation:

It's a right triangle so you can use a squared +b squared =c squared

a and b are the legs of the triangle which in this case are 50 and 25 feet.

Plug them into the equation:

50^2+25^2=c^2

50 squared = 2,500

25 squared = 625

2,500 + 625= 3,125

so c squared is 3,125. To get c you need the square root which is ~55 feet

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

Answer:

The slope is undefined

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/( x2-x1)

    = (4-2)/( -7 -  -7)

    = (4-2)/( -7 +7)

   = 2 / 0

When we divide by 0, the result is undefined

The slope is undefined

Answer:

Undefined

Step-by-step explanation:

Since there is two points we can use (-7,2) and (-7,4) to find the slope

Slope formula for two points:

y2-y1/x2-x1

4-2/-7+7

Which is

2/0

Since 2/0 is not possible the answer will be undefined

Hope this helps!

Answer:

Number 7 is 3/4 and 8 is 4/-3

Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1