f(x)=2(x-5)^{2}-8
graph equation
find vertex, root, and y-intercept

Answers

Answer 1

Answer:

Vertex: (5,-8)

Root: (3,0) and (7,0)

Y intercept: (0,42)

Step-by-step explanation: 2(x-5)^2 -8 graphed


Related Questions

Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than

Answers

A small bottle costs $14.

To solve the problem, the equation would be this:

Let s represent a small bottle. Since one large bottle is $4 more than a small one, you would write out (4+s). Then, multiply it by 8 to find one side of the equation, and get 8(4+s). To write out the right side of the equation, you would write out 12s to represent 12 small bottles, and subtract 24 from that to represent that 8 large bottles is $24 less than 12 small ones.

Then, proceed to solve the equation to get the answer of s=14. Because a small bottle is $14, you can check your work by substituting the 14 in replace of s. :

What is the slope of the line represented by the equation – 5x + 2y = 10

Answers

Answer:

5/2 or 2.5

Step-by-step explanation:

use the equation y=mx+c

where m=slope=coefficient of x

-5x+2y=10

2y=5x+10

2y/2= 5x/2+ 10/2

y= 5x/2+ 5

Therefore the slope of the line is 5/2 or 2.5

if (a+1/2)=4find the value of a^3+1/a^3​

Answers

Answer:

Step-by-step explanation:

[tex]a + \frac{1}{2}=4\\\\[/tex]

     [tex]a = 4 -\frac{1}{2}\\\\a =\frac{4*2}{1*2}-\frac{1}{2}\\\\a =\frac{8}{2}-\frac{1}{2}\\\\a=\frac{7}{2}[/tex]

[tex]\frac{1}{a}=\frac{1}{\frac{7}{2}}\\\\ = 1*\frac{2}{7}\\\\ = \frac{2}{7}[/tex]

[tex]a^{3}+\frac{1}{a^{3}}=(\frac{7}{2})^{3}+(\frac{2}{7})^{3}[/tex]

           [tex]= \frac{343}{8}+\frac{8}{343}\\\\=\frac{343*343}{8*343}+\frac{8*8}{343*8}\\\\=\frac{117649}{2744}+\frac{64}{2744}\\\\=\frac{117649+64}{2744}\\\\=\frac{117713}{2744}\\\\= 42\frac{2465}{2744}[/tex]

If I was rotating (-5, -1) 90 degrees clockwise, what are the new coordinate points?

Answers

Answer:ok

Step-by-step explanation:

Rewrite the expression by factoring out (w+3).
7w2(w+3)-3(w+3)

Answers

Answer:

(w + 3) [7w²  - 3]

Step-by-step explanation:

Given expression:

    7w²(w + 3) - 3(w + 3);

 Now rewriting the equation by factoring out (w+ 3);

 Solution:

   7w²(w + 3) - 3(w + 3);

   = (w + 3) [7w²  - 3]

 

The solution is (w + 3) [7w²  - 3]

(1 point)
15. Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the
titles of each column?
Column 1 should be titled “Time," and Column 2 should be titled "Velocity.”
Column 1 should be titled "Velocity," and Column 2 should be titled “Time."
Column 1 should be titled "Time," and Column 2 should be titled "Acceleration."
Column 1 should be titled "Acceleration," and Column 2 should be titled “Time."
93

Answers

The answer is B hope this helps

Answer:

Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”

Step-by-step explanation:

73 in. is how many ft. ???

Answers

the answer is 6 feet and 1 inch long

Estimate 4.8 x 4.15.

Answers

Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

1guys please help I gut an exam soon how to solve this?!

Answers

Answer:

477.525cm^2

Step-by-step explanation:

A = pi X 4^2 = 50.265cm^2

Totals to 100.53cm^2

C = pi X 8 = 25.133

Area = 25.133 X 15 = 376.995cm^2

100.53+376.995= 477.525cm^2.

How to factor y^3 +2y^2 + 2y + 1

Answers

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

 

Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?

Answers

Answer:

10.59

Step-by-step explanation:

3.53×3

Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour

Answers

Answer:

64

Step-by-step explanation:

PLS HELP
Frank received a $4.00 tip from a customer who had a $25.00 bill. Which decimal represents the fraction of the bill Frank received as a tip? 0.04 0.16 0.25 0.625

Answers

Answer:

0.16

Step-by-step explanation:

The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
A. The percent decrease is approximately 0.14%.
B. The percent decrease is approximately 0.85%.
C. The percent decrease is approximately 14%.
D. The percent decrease is approximately 85%

I’m dumb but I need an answer quick (will try to give brainliest) or however you spell it

Answers

Answer:

I'm going for A

Step-by-step explanation:

Answer:

Answer is gonna be c

Step-by-step explanation:

3(3x - 1) + 2(3 - x) = 0

Answers

Answer:

-3/7

Step-by-step explanation:

Randy is thinking of a number. When he adds 7 to the number, multiplies the sum by 3, then subtracts 2, the result is 13. What is the original number?
A. 6
B. -2
C. 2
D. -6

Answers

Answer:

B. -2

Step-by-step explanation:

let the number be x

=7+x

=3(7+x)

=3(7+x)-2

13=3(7+x)-2

solving for  x we have

13=21+3x-2

21+3x-2-13=0

collect like terms we have

21-2-13+3x=0

6+3x=0

6=-3x

x=6/-3

x=-2

The answer is B

B. -2

helpp ill mark u as brainlist​

Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1

Help asap this is a major grade

Answers

Answer:

You need to show us the questions. All we see are the choices to choose from...

Step-by-step explanation:

Joy makes 6.5 litres of soup, correct to the nearest 0.5 litres.

She serves the soup in 280ml portions, correct to the nearest 10ml.

22 people order this soup.

Does joy definitely have enough soup to serve 22 people?

Show how you decide.

Your final line must be written as,Joy definitely does have enough soup or Joy may not have enough soup.


I tried so hard to answer it but it isn't right so if you give me an answer please explain it so next time I will have a similar type of question I will know how to do it.


This is what i tried

6250:275=22.8 (1 d.p)

Answers

Answer:

She can serve up to 22 people

Step-by-step explanation:

Given that the total amount of soup that Joy makes in liters is 6.5L

also that the portions are in ml

280ml to liters we have 280/1000= 0.28L

our aim is to know weather 6.5L divided by 0.28L  can be up to 22

let us try it out

6.5/0.28= 23.214

we have 23.

Therefore the 6.5L can serve up to 22 portions of  280ml in 6.5 L of soup

i need the standard form of seventy billion nine hundred milion sixty Thousand seven thousebth eight hundred ninty nine and one three ​

Answers

Answer:

The wording in the question is off I sorry I can't help unless I have exact numbers.

Answer:

70000001088

Step-by-step explanation:

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answers

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

Helpppppppp meeeeeeeeeeeeee

Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:

Solve for each exponent.

3^4 is 81.

3^7 is 2187.

So the fraction is 81/2187.

Now we need to simplify it.

That's 1/27.

C is the correct answer to the problem.

-1 1/4 a = 1 3/4 (in fraction)

Answers

Answer:

Decimal Form:

-1.4

Mixed Number Form:

-1 2/5

Extract Form:

-7/5

Step-by-step explanation:

Enter the ordered pair for the vertices for rx-
axis(qrst).
q= (1,3)
r= (3,-3)
s= (0,-2)
t= (-2,1)
q' = ()
r' = ()
s'= ( )
t' = ()
Pls help I need it really soon

Answers

Answer:

q1 (1,-3)

r1 (3,3)

s1 (0,2)

t1 (-2,-1)

Step-by-step explanation:

When a shape is reflected, it must be reflected across a line

The vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:

[tex]\mathbf{q'(1,-3)}[/tex][tex]\mathbf{ r'(3,3)}[/tex][tex]\mathbf{ s'(0,2)}[/tex][tex]\mathbf{t'(-2,-1)}[/tex]

The given parameters are:

[tex]\mathbf{q = (1,3)}[/tex]

[tex]\mathbf{r = (3,-3)}[/tex]

[tex]\mathbf{s = (0,-2)}[/tex]

[tex]\mathbf{s = (-2,1)}[/tex]

The transformation rule is given as:

[tex]\mathbf{rx-axis}[/tex]

The above rule means that the vertices are reflected over the x-axis

The rule of the transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{q(1,3) \to q'(1,-3)}[/tex]

[tex]\mathbf{r(3,-3) \to r'(3,3)}[/tex]

[tex]\mathbf{s(0,-2) \to s'(0,2)}[/tex]

[tex]\mathbf{t(-2,1) \to t'(-2,-1)}[/tex]

Hence, the vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:

[tex]\mathbf{q'(1,-3)}[/tex]

[tex]\mathbf{ r'(3,3)}[/tex]

[tex]\mathbf{ s'(0,2)}[/tex]

[tex]\mathbf{t'(-2,-1)}[/tex]

Read more about reflections at:

https://brainly.com/question/938117

7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120 grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drahms,

how many drahms are equivalent to 300 grains? Explain your reasoning. If you get stuck, try creating a table.


Answers

Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

write the ratio 3 differnt ways AND give 3 equivalent ratios. five horses to seven dogs​

Answers

Answer:

5:7

5/7

5 to 7

10:14 --> 10x2=20 14x2=28

20:28 --> 20x2=40 28x2=56

40:56

A.(-1,6)
B.(-6,5)
C.(-8,1)
D.(-10,1)

HELP ASAP‼️‼️

Answers

Answer:

the answer is b

Step-by-step explanation:

I did this last year and got them right

PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.

Answers

Answer: 25 I believe

Answer:

  25

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . for a≠0

__

  [tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]

what is 13 × 2/3 ???

Answers

Answer:

Im pretty sure its 8 2/3

Answer: 26/3

Step-by-step explanation: 13/1 times 2/3

The measure of angle JKL can be represented using the expression 3x + 5.

Answers

Answer:

The measure of ∠JKL is 65°

Step-by-step explanation:

Consider the provided diagram.

We need to find the degree measure of ∠JKL.

It is given that ∠JKM=45° and ∠MKL=x°

Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.

Thus ∠JKL=3x+5

From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL

This can be written as:

∠JKL = ∠JKM+∠MKL

Substitute the respective values in the above equation.

3x+5 = 45+x

Subtract x and 5 from both the sides.

3x+5-x-5 = 45+x-x-5

2x = 40

x = 20

Thus, the measure of ∠MKL=20°

Substitute the value of x in ∠JKL = 3x+5.

∠JKL = 3(20)+5

∠JKL = 60+5

∠JKL = 65

Hence, the measure of ∠JKL is 65°

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