Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).

Write the equation of the parabola in vertex form.

(Answers are given in photo)

10 points!!! Please help.

Suppose A Parabola Has Vertex (6, -3) And Also Passes Through The Point (8,5). Write The Equation Of

Answers

Answer 1

Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

Suppose A Parabola Has Vertex (6, -3) And Also Passes Through The Point (8,5). Write The Equation Of
Answer 2

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

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

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

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

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

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Related Questions

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Answer:x=20

Step-by-step explanation:

Answer:

I think is x=-20

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What is the domain of the function below?

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Answer:

[-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

From the graph we see that our x-values span from -4 to 4. Since both are closed dots, they are included in the domain (use brackets):

[-4, 4] or -4 ≤ x ≤ 4

solution
2(x + 1) = 2x + 2.

Answers

Answer:

Infinity

Step-by-step explanation:

It is equal to nothing.

2x+2=2x+2

-2x     -2x    

2=0x+2

-2      -2

0=0

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Distribute the 2 in 2 (x+1)

2 ⋅ x = 2 x

2 ⋅ 1 = 2

Combine:

2 x + 2

Equation is now:

2 x + 2 = 2 x + 2

Subtract 2 from both sides of the equation:

2 x = 2 x

Divide both sides by 2:

x=x

Both sides of the equation are the same:

x = x

Any real number or:

( − ∞ , ∞ )

I need help with is plz asap

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Answer:

30

Step-by-step explanation:

Which statement about the number 49 is true

Answers

Answer:

F.

Step-by-step explanation:

Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.

Plz help do questions 9 and 10 I will give brainlest

Answers

Answer:

9. B.) c=28h

10. C.) 5x=45y

Step-by-step explanation:

1. 84 cards in three hours 84/3 = 28 cards per hour

2. 2x=18y which means x=9y, x 5 = 5x = 45y

Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.

Answers

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Please help will give brainliest (please don’t answer if you don’t know it)

Answers

Answer:

it is 3 or 21

Step-by-step explanation:

because STUVW is equal to HGFED

the answer is 3, it is the same length as ST

PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.

Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...

A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)

Answers

Answer:

C. f(1)=6; f(n)=f(n-1)+6

Step-by-step explanation:

PLZ HELP DUE IN 20 MINS

The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)

a
D and E are similar but not congruent.

b
E and F are similar and congruent.

c
D and E are similar and congruent.

d
F and D are similar but not congruent.

Answers

Answer:

B.

Step-by-step explanation:

It was just angled in a different way

I need help with the #1 question. please help me

Answers

Answer:

The answer to number 1 is geometric sequence of A>

Step-by-step explanation:

16+4|5x-4(x+2)|=7-2x

Answers

there are no solutions

There are no solutions like kathy0315 said

-2x + 7 = x-2
What is this ? In the most simplest steps possible

Answers

Answer:

Let's solve your equation step-by-step.

−2x+7=x−2

Step 1: Subtract x from both sides.

−2x+7−x=x−2−x

−3x+7=−2

Step 2: Subtract 7 from both sides.

−3x+7−7=−2−7

−3x=−9

Step 3: Divide both sides by -3.

−3x /−3      −9 /−3

Answer:

x=3

                                            Hope this helps

                                                     (>'-'<)    

Select the correct answer.
Find the value of g(7) for the function below.

g(x)= 7/8x-1/2


A. 49/8

B. 53/8

C. 60/7

D. 45/8

Answers

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

Learn more about the function visit:

https://brainly.com/question/11624077

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Answers

Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?

Answers

Answer:

Step-by-step explanation:1

1/2 years which is 1 year and 5 months.

Explanation:

The formula for simple interest is

You can either substitute the given values first and the solve for

T, or you can transpose the formula to have

T as the subject.

T=100xSIPR

T=100 x 637.50

T=100×637.502500×17

T=1.5

As time is always in years, this means it was for

112 years which is 1 year and 5

months

A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?

pls solve this question i will mark as a brainlist.​

Answers

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .

So , here ,

Cost price of the article = Rs 1500.Profit on the article = 20% .

Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .

Firstly let's Calculate 20% of 1500 .

= 20% of Rs 1500 .

= 20/100 × Rs 1500 .

= Rs 300 .

Hence we can find now Selling price as ,

[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]

⇒ SP = CP + Profit .

⇒ SP = Rs ( 1500 + 300 ).

⇒ SP = Rs 1800 .

Hence the required answer is Rs 1800.

what expression can be used to 80% of 120

Answers

Answer:

59%

Step-by-step explanation:

Answer:

96=80% of 120

Step-by-step explanation:

The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.

Answers

Answer:

(0,0) (1,4) See the explanation below for the graph.

Step-by-step explanation:

f (0) = 4 x 0 = 0

f (1) = 4 x 1  =  4

(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.

Jane and Jillian are hiking around a hill and one complete circle is 8 miles long. They start together but hike in opposite directions. Both start to hike at 8:00 AM. Jane's hiking speed is 3 mph and Jillian's hiking speed is 5 mph. How long will it take before they meet? At what time will they meet? In how many hours? What time will they meet at?

Answers

Answer:

It will tale 1 hour before they meet and they will meet agin at 9 :00 AM.

Step-by-step explanation:

Speed of Jane, [tex]v_1=3[/tex] mph

and the speed of Jillian, [tex]v_2= 5[/tex] mph.

Length of one complete circle = 8 miles.

Both are moving in the opposite direction, let the starting point is at O, and met at the point P after time, t, as shown in the figure.

Let the length covered by Jane via path OAP= x miles.

[tex]\Rightarrow x= 3t[/tex] [as distance= speed x time]

[tex]\Rightarrow t=x/3 \cdots(i)[/tex]

The length covered by Jillian via path OBP [tex]= 8-x[/tex] miles

[tex]\Rightarrow 8-x= 5t[/tex] [as distance = speed x time]

[tex]\Rightarrow t=(8-x)/5 \cdots(i)[/tex]

Now from equation (i) and (ii),

[tex]\frac{x}{3} = \frac{8-x}{3}[/tex]

[tex]\Rightarrow 5x=3(8-x)[/tex]

[tex]\Rightarrow 5x+3x=24[/tex]

[tex]\Rightarrow x=3[/tex]

So, the distanc covered by Jane = 3 miles and

the distanc covered by Jillian = 8-3=5 miles

From equation (i), time taken, t = 3/3= 1 hour.

So, it will tale 1 hour before they meet.

As the startion time was 8:00 AM, so the will agin meet at 9 :00 AM.

Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?

Answers

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Two less than seven times a number c is written as

Answers

Answer :

7c - 2

That's your answer .

Can someone tell me where to graph this

Answers

Answer:

(7, -6)

Step-by-step explanation:

You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.

Given the graph what is a,h,k

Answers

We can answer this without knowing witch plots are witch



One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82

Solve for x.
–2(x - 1) - x + 3 = -1
Anyone wanna help?

Answers

x=2
explanation:
simplify to get -3x+5=-1
calculate to get -3x= -1-5
-3x=-6
x=2

Answer:

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

First if all, we operate the parenthesis knowing that [tex]a(b+c) = ab + ac[/tex]:

-2(x-1) - x + 3 = -1 ---->.-2x -2*(-1) - x + 3 = -1

Now, we operate:

.-2x -2*(-1) - x + 3 = -1 ----> -2x + 2 - x + 3 = -1

Now we operate another time to put all the x together and the independent terms too:

-2x + 2 - x + 3 = -1 ----> -3x + 5 = -1

We substract 5 at both sides to have only the x at one side:

-3x + 5 = -1 ----> -3x + 5 - 5 = -1 - 5 ----> -3x = -6

As both sides have a minus (-) we can eliminate it:

-3x = -6 ----> 3x = 6

We divide both sides by 3 to have only a x:

3x = 6 ----> 3x/3 = 6/3 ----> x = 2

Now, we know that x=2. We can also verify it by replacing it on the first equation:

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

Now we know it's true, as we have replaced it and we got he answer.

A Store has 120 customers in 6 hours.What is the unit rate in customers per hour

Answers

Answer:

20

Step-by-step explanation:

120/6=20

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.

this is My Home work and i don't know this one ​

Answers

Answer:

C

Step-by-step explanation:

Cuz the they are scared in the negative direction and theyre grouped around 4. Sry im bad at explaining things

Answer:

c. y = -x + 4

Step-by-step explanation:

Looking at the graph, the trend is decreasing as you move to the right, so you know that the slope has to be negative. Therefore (a) and (d) cannot be the answer since they both have positive slope.

You're only choice left is (b) and (c). (b) can't be the asnwer because averaging out the value at x=0 will give you a value greater than 3, therefore your y-intercept must be some number greater than 3. The only answer choice left is (c).

From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.



What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?

Answers

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

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