for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of the vertext and why

Answers

Answer 1

Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.


Related Questions

I need help solving this question please with an explanation.

Answers

80 minutes to 30 minutes

Answer:

if he work 3 hours and earn 40.50

then the money he earn per hour is 40.50/3=13.5 ans

Simplify the following expression. 2p – 10 – 4p – 7

Answers

Answer:

the answer is-2p-3

hope is helpful

Answer:

2p – 10 – 4p –7

–2p –17

I hope I helped you^_^

The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)

Answers

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

the equivalent form of the expression:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]

Thus, the equivalent form of the given expression is 1 /(x + y)

Learn more here: https://brainly.com/question/15469690

A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?

A) $8.00

B) $10.00

C) $12.00

D) $14.00


(Pls add in the step-by-step explanation)

Answers

Answer:

C) $12.00

Step-by-step explanation:

Take the price of the bill

78.20

Find 10 %

78.20 * .1

7.82

Take half ( which is 5%)

3.91

Add the two amounts together

7.82+3.91

11.73

Rounding to the nearest dollar

12.00

OR

Round the bill to 80.00

Take 15%

80 * .15

12.00

what is the value of the 2 in 3,261? the 3? the 1?

Answers

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack

Answers

Answer:

107 full and .103 of another

Step-by-step explanation:

6212/58 =

17/3x + 17 - 2/3x - 15

Answers

This is the answer to your problem

order these numbers in ascending order. -11, 11.8 9.42 ,10​

Answers

Answer:

-11,9.42,10,11.8

-11<9.42<10<11.8

Answer:

I think the answer is

-11, 9.24 ,10, 11.8

Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.​

Answers

Area

Area of rectangle = Length * Width

Length = 11.3 cmWidth = 14.8 cm

Area = 11.3 cm * 14.8 cm

Area = 167.24

Perimeter

Perimeter of rectangle = 2 (L + W)

Length = 11.3 cmWidth = 14.8 cm

Perimeter = 2 (11.3 cm + 14.8 cm)

Perimeter = 2 (26.1 cm)

Perimeter = 52.2 cm²

Final Answer

Area of rectangle is 167.24 cm²

Perimeter of rectangle is 52.2 cm²

HW #3 review
I will give brainliest to whoever gets it right

Answers

Hi there!

The numbers you have written there are correct.

[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.

When a number is less than 0, we know that it has to be negative.

However, it cannot be more negative than -5. It cannot be -5 either.

So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.

I hope this helps!

Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie

Answers

Answer:

24

Step-by-step explanation:

Please help due tomorrow

Answers

the scale factor is 3. all of them are 3.

The scaled factor is 3 for all of them.

Someone please help me with 13 and 14 I’m really struggling

Answers

Answer:

Step-by-step explanation:

What is the relationship between the 6s in 675,002 and 385,621

Answers

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

simplify. (3st)^2

a.6s^2t*2
b. 9s^2t^2
c. 3st^2
d. 2s^2t^2

Answers

Answer:

b. 9s^2 t^2

Step-by-step explanation:

If (x*y) ^ 2 = multiple of x and y then power 2

(x * y) ^2 is equal to (x^2 * y^2)

That makes 9s^2t^2

Answer:

Option B. 9s^2t^2 is the correct answer.

Step-by-step explanation:

I just completed it.

John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?

Answers

Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

To know more about account:

https://brainly.com/question/6975956

#SPJ3

Jasmine bought 3500g of flour. She used 3/7 of it to bake some tarts and 700g of it to bake a cake. Find the ratio of the amount of flour used for baking the cake to the amount of flour used for baking the tarts to the remaining amount of flour.​

Answers

Answer: 15:13

Step-by-step explanation: 7/7=3500

1/7=3500÷7=500500x3=15001500+700=22003500-2200=13001500:130015     :   13 (if there is a need to simplify the                         ratio)

Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?

Answers

Answer:

the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.

Step-by-step explanation:

Step 1:

Measure the change in X and Y of a single length of the original image.

X1 = 3.5

Y1 = 5

Step 2:

Measure the change in X and Y of the same length on the modified image.

X2 = 8.5

Y2 = 12.5

Step 3:

use formula SF = X2/X1 = Y2/Y1

(SF = Scale Factor Dilation)

(X2 and Y2 = change in X and Y of the same length on the modified image.)

(X1 and Y1 = change in X and Y of a single length of the original image.)

X2 = 8.5

8.5/X1

X1 = 3.5

8.5/3.5

8.5/3.5 = 2.4

2.4

1 : 2.4

7(6-4) distribitive property​

Answers

Answer:

14

Step-by-step explanation:

Multiply 7 and 6, then 7 and -4: 42-28=?

Subtract: 42-28=14

For the following set of sample data: {10, 50, 60, 70, 75 79, 85, 90, 91, 95, 100, 110} Find the sample mean.

Answers

Answer:

76.25

Step-by-step explanation:

What is a rational number between -1/5 and -2/5?

Answers

Answer:

-1/4

Step-by-step explanation:

-0.25

Is [tex]2 \frac{2}{3} [/tex]
a rational number​

Answers

Yes it’s a rational number.

You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same

Answers

Answer:

you could have a 6 and then a -6

or a 3 and a -3

or 0 and 0

have 2 cards with the same number but one is negative

Step-by-step explanation:

what is the mid point of (27,3) and (18,-1)

Answers

Answer:

(22.5 , 1)

Step-by-step explanation:

Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]

[tex]\frac{27+18}{2}[/tex]=22.5

3+-1=2

2/2=1

So, midpoint is (22.5 , 1)

You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.

Find all points on the curve x^2y^2+xy=2 where the slope of the tangent line is −1

Answers

Differentiate both sides with respect to x and solve for the derivative dy/dx :

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[x^2y^2+xy\right] = \dfrac{\mathrm d}{\mathrm dx}[2] \\\\ \dfrac{\mathrm d}{\mathrm dx}\left[x^2\right]y^2 + x^2\dfrac{\mathrm d}{\mathrm dx}\left[y^2\right] + \dfrac{\mathrm d}{\mathrm dx}\left[x\right]y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 2xy^2 + x^2(2y)\dfrac{\mathrm dy}{\mathrm dx} + y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ (2x^2y+x)\dfrac{\mathrm dy}{\mathrm dx} = -2xy^2-y \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{2xy^2+y}{2x^2y+x}[/tex]

This gives the slope of the tangent to the curve at the point (x, y).

If the slope of some tangent line is -1, then

[tex]-\dfrac{2xy^2+y}{2x^2y+x} = -1 \\\\ \dfrac{2xy^2+y}{2x^2y+x} = 1 \\\\ 2xy^2+y = 2x^2y+x \\\\ 2xy^2-2x^2y + y - x = 0 \\\\ 2xy(y-x)+y-x = 0 \\\\ (2xy+1)(y-x) = 0[/tex]

Then either

[tex]2xy+1 = 0\text{ or }y-x=0 \\\\ \implies y=-\dfrac1{2x} \text{ or }y=x[/tex]

In the first case, we'd have

[tex]x^2\left(-\dfrac1{2x}\right)^2+x\left(-\dfrac1{2x}\right) = \dfrac14-\dfrac12 = -\dfrac14\neq2[/tex]

so this case is junk.

In the second case,

[tex]x^2\times x^2+x\times x=x^4+x^2=2 \\\\ x^4+x^2-2 = (x^2-1)(x^2+2)=0[/tex]

which means either

[tex]x^2-1 = 0 \text{ or }x^2+2 = 0 \\\\ x^2 = 1 \text{ or }x^2 = - 2[/tex]

The second case here leads to non-real solutions, so we ignore it. The other case leads to [tex]x=\pm1[/tex].

Find the y-coordinates of the points with x = ±1 :

[tex]x=1 \implies y^2+y=2 \implies y=-2 \text{ or }y=1 \\\\ x=-1\implies y^2-y=2\implies y=-1\text{ or }y=2[/tex]

so the points of interest are (1, -2), (1, 1), (-1, -1), and (-1, 2).

Which of the equations is shown by the shaded area of the model? A. 0 . 29 + 0 . 37 = 0 . 63 B. 0 . 34 + 0 . 23 = 0 . 57 C. 0 . 36 + 0 . 27 = 0 . 63 D. 0 . 24 + 0 . 33 = 0 . 57

Answers

Answer:

is there anyway you could show the Shaded area of the model because I can't answer it without is that part of the picture showing. Thank you

Tanner earns 12.50 per hour at his after school job he worked 11.75 hours this week how much did tanner earn this week? Pls do step by step

Answers

Answer:

He earned $146.875

Step-by-step explanation:

12.5 an hour for 11.75 hours

So you just do 11.75 x 12.5 which is 146.875

Answer:

146. 88

Step-by-step explanation:

12.50×11.75

=146.88

5 1/6•(-2/5)=
Answer as a fraction

Answers

-31/15 is the correct answer

Need help ASAP PLEASE!!!

Answers

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

or,3*1+1*1x/2=2x

or,4x/2=2x

or,4x-2x=2

or,x=2/2

so,x=1

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Question 6. M(5, 2)

Question 7. M(-6, 0)

Step-by-step explanation:

1. C(3, -5) and D(7, 9)

Use the midpoint formula:

(x1 + x2/2, y1 + y2/2)

(3 + 7/2, -5 + 9/2)

(10/2, 4/2)

(5, 2)

2. S(-8, -6) and T(-4, 6)

Use the midpoint formula:

(x1 + x2/2, y1 + y2/2)

(-8 + -4/2, -6 + 6/2)

(-12/2, 0/2)

(-6, 0)
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