HELP HELP


Write the equation of the parabola in vertex form.

vertex (0,3), point (1, - 4)

f(x) =

(Simplify your answer.)

Answers

Answer 1

Answer:

Equation of the parabola: y = 3 - 7x^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k

Thus, the equation of this parabola is  y = ax^2+3

To find a, use the fact that the parabola passes through the point (1,−4):

-4 = a(1)^2 +3

Solving this equation, we get that a = −7.

Thus, the equation of the parabola is y = 3 − 7x^2.


Related Questions

8/n = 1/3

help plssss

Answers

Answer:

24

Step-by-step explanation:

Answer:

n=1/24

Step-by-step explanation:

8/n=1/3

n=1/3÷8

=1/3×1/8

=1/24

Maya is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

9 dollars

Step-by-step explanation:

Since 6 is 2/3 of the total price, and half of 6 is 3, add three to 6 and you get 9.

Answer:

9 dollars

Step-by-step explanation:

if 6 dollors==>2/3from the game totall price

1 complete game how much

6÷2/3=9dollars

gradient from 2 - 1/2y = 0​

Answers

Given :

2 - 1/2y = 0

To find :-

The gradient form .

Solution :-

The gradient form/ slope intercept form

y = mx + c ,

On converting ,

2 - 1/2y = 0 1/2y = 2 y = 2*2y = 4y = 0x + 4

what is the perimeter of 10cm length and 8cm width of a rectangle ?

Answers

Answer:

36 cm

Step-by-step explanation:

rectangle perimeter = sum of all the side

10+8+10+8=36 cm

Answer:

Step-by-step explanation:

Perimeter =2(10+8)=36 cm.

Please help first person to answer correctly with no links get 50 points and marked as brainliest no links please

Answers

Answer:

C, first I'm not sure if it's correct, but hear me out.

Step-by-step explanation:

If we already know that B=34 we need to find out the rest.

B=50 (Estimated)

D=45 (Estimated)

34+50+45

34+50=84+45=129, 129 estimated=130, and since their is no answer choice but C it should be C, I could be very wrong though.

14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.

Answers

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

What is an arithmetic sequence ?

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

#Tag #SPJ2

Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=

Answers

Answers :
1) 0.2
2) 5

Check the image below

Solve 5x + 2 = 22
Solve 2x-5=7
Solve 2x+5=12

Answers

Answer:

x = 4

x = 6

x = 7/2

Step-by-step explanation:

Solve 5x + 2 = 22:

5x+2-2=22-2 (subtract 2 from both sides)

5x=20

x=4

Solve 2x-5=7

2x-5+5=7+5 (add 5 to both sides)

2x=12

x=6

Solve 2x+5=12

2x+5-5=12-5 (subtract 5 from both sides)

2x=7

x= 7/2

Solve 5x + 2 = 22

=> 5x + 2 = 22

=> 5x = 22 – 2

=> 5x = 20

=> x = 20/5

=> x = 4

Solve 2x-5=7

=> 2x - 5 = 7

=> 2x = 7+5

=> 2x = 12

=> x = 12/2

=> x = 6

Solve 2x+5=12

=> 2x + 5 = 12

=> 2x = 12-5

=> 2x = 7

=> x = 7/2

Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle A.
(show your work)

Answers

Answer:

m<a is 32º

Step-by-step explanation:

4x-8=2x+12

   +8       +8

4x=2x+20

-2x     -2x

2x=20

÷2

x=10

4x-8

4(10)-8

40-8

32

The linear system is graphed. Is it an independent or dependent system?

-2x+3y=5

-4x+6y=10

GRAPH IN PICTURE:

A. neither
B. Dependent
C. Independent​

Answers









A. Neither



Thanks me later

The table shows the shipping fee options for two online marketplaces.



Online Market Shipping Fees
Deals Flat fee of $12
Sell Ur Stuff 11% of selling price


If you sell a smart phone online for $115, how much will you pay if you use the online market with the lesser fee?

Answers

Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:

115 x 0.11 = X 12.65 = X

Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

Learn more in https://brainly.com/question/25206811

Help with trigonometry

Use pythagorean theorem to find the length of x

Answers

Answer:

x =√969

Step-by-step explanation:

AC²=AB²+BC². (Formula)

(35)²=(16)²+BC²

1225-256=BC²

969=BC²

BC=√969

Which describes how to find the solution to 3p < 14?

Answers

Answer:

p < 14/3

Step-by-step explanation:

Answer:

a.divide both sides with 3

Step-by-step explanation:


- How are the functions y = x and y = x + 4 related? How are their graphs related?

Answers

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

X = [tex]\sqrt{21}[/tex] or 4.5825756...

Step-by-step explanation:

[tex]A^{2} + B^{2} = C^{2}[/tex]

[tex]10^{2} + x^{2} = 11^{2}[/tex]

[tex]x^{2} = 11^{2} - 10^{2}[/tex]

[tex]x^{2} =121-100[/tex]

[tex]x^{2} =21[/tex]

x = [tex]\sqrt{21}[/tex]

Hope this helps!

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (11)² - (10)²

x² = 121 - 100

x² = 21

x = 4,6

Show that (√7+i√3/√7-i√3 + √7-i√3/√7+i√3) is real​

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

What is the slope-intercept equation
for the following line?

Answers

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

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

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

Marie bought 6 pounds of apples for $0.87 per pound and
paid for them with a $10 bill. How much did she get back
in change?

Answers

Answer:

5.22

Step-by-step explanation:

rjskstks5oslyatkao5sylslgsltsirsotzktzo

Answer:

$4.78

Step-by-step explanation:

6 x 0.87 = 5.22

10.00 - 5.22 = 4.78

Maire got $4.78 back

in change

Rise over run please ??

Answers

Answer:

1 / 1

Step-by-step explanation:

Your line has a 1 to 1 ratio of rise over run.

Which of the following numbers are NOT rational?
A)√25
B)18.9238...
C)1.323232...

Answers

Answer:

the answer is a because it has no decimal

it is in square root

Fill in the blank statement to make it true. -3 x _ =12

Answers

It’s -4 Bc negative times negative is a positive 3 times 4 = 12 so then just add the negatives.

What is the slope of the line that passes through the points (8, -4) and (6, 2) ? Write your answer in simplest form.

Answers

Answer:

m=-3

Step-by-step explanation:

I just used the slope formula. Hope this helps! Also, I'm certain this is correct.

Will mark as brainiest (Must show work)

Answers

Answer:

m∠CAB = 40°

Step-by-step explanation:

DAC = 99

DAB = 59

B is inside DAC, and so is DAB. So CAB must add to 59 to get to 99, nothing over that because it's inside DAC.

So 99 - 59 = 40

CAB must be 40°

That's all I can say for now. Hope this helps and a thank won't hurt! :)

Can you pls help me??

Answers

Answer:

[tex] \sqrt{10} [/tex]

Step-by-step explanation:

use

a^2 +b^2=c^2

c² = a² + b²

c² = 3² + 1²

c² = 9 + 1

c² = 10

c = √10

How many solutions does this system have?
y = 5x + 6
y – 5x = 7

A. no solutions
B. 1 solution
C. 2 solutions
D. infinitely many solutions

Answers

Answer:

No Solutions

Step-by-step explanation:

The two lines never intersect

Answer:

A

Step-by-step explanation:

y = 5x + 6 → (1)

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

y = 5x + 7 → (2)

Substitute y = 5x + 7 into (1)

5x + 7 = 5x + 6 ( subtract 7 from both sides )

5x = 5x - 1 ( subtract 5x from both sides )

0 = - 1 ← is False

This indicates the system has no solution

40 POINTS!
Please answer for
m∠1 AND m∠2

Answer choices for m∠1:
50, 110, 70, 90
Answer choices for m∠2:
70, 110, 40, 140

Answers

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

(1/3) to the power of 3
Plz

Answers

Answer:

1/27

have a lovely day <3

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} ^3[/tex]

[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{27}[/tex]

Just add a random answer

Answers

thx ig lol how are u

Azim wants to order school spirit t-shirts for the fundraising club. Company R charges a $70 screen setup fee plus $11.25 per t-shirt. Company S charges a $35 screen setup fee plus $14.75 per t-shirt. What equation can determine the number of t-shirts, x, that need to be ordered for the total cost of Company R to equal the total cost of Company S?

Answers

Answer:

10 t shirts

Step-by-step explanation:

70 + 11.25x = 35 + 14.75x

35 + 11.25x = 14.75x

35 = 3.5x

10 = x

What is the end of your proof? (What are you proving?)

Answers

Answer

with

Step-by-step explanation:

Statement      Reasons

1.∠1 ≅ 4             Given

2.∠1 = ∠2           Being Vertically opposite angles.

3.∠4 = ∠3          Being Vertically opposite angles.  

4.∠2 = 3             From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3            From Statement 4

Proved.

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