Mathematics High School

The figure shows the graph of y = -x² + bx + c. Find the values of b and c.​

The Figure Shows The Graph Of Y = -x + Bx + C. Find The Values Of B And C.

Answers

Answer 1

Answer:

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

Related Questions

PLEASE HELP FOR BRAINLEIST

Answers

Answer:

25.) Slope of AB = 5

Slope of CD = -1/5

Perpendicular

26.) Slope of EF = -3/5

Slope of GH = -3/5

Parallel

Step-by-step explanation:

Use this formula to find slope. [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Parallel lines have the same slope

Perpendicular lines have the opposite reciprocal and sign

25.)

Plug in AB slope is 5

2 - 7/ 3 - 4 = -5/-1 = 5

Plug in for CD slope is -1/5

3 - 4/ 2 - -3 = -1/5 = -1/5

The lines AB and CD are perpendicular because they have opposite reciprocals and opposite signs.

26.)

Plug in EF slope is -3/5

1 - 4/ 3 - -2 = -3/5 = -3/5

Plug in GH slope is -3/5

-5 - -2/ 4 - -1 =  -3/5 = -3/5

The lines EF and GH are parallel lines because they have the same slopes.

Hope this helps ya!

Answer:

what the other person said

Step-by-step explanation:

you were already saved just give them brainliest now

If BC
is the image of XY
after a rotation about the origin, then what is always true about BC
?

A
BC
is a vertical segment.
B
BC
is a horizontal segment.
C
BC
is in the same quadrant as XY
.
D
The length of BC
is the same as XY
.

Answers

Answer:

Step-by-step explanation: a

Find the length of BC.

Answers

Answer:

BC = 8

Step-by-step explanation:

AB + BC = AC

4x + 8 + 3x - 4 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

x = 28/7

x = 4

BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8

Answer:

B) 8

Step-by-step explanation:

The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.

Thus, AB+BC=AC, and we can substitute:

AB+BC=AC

(4x+8)+(3x-4)=32

4x+8+3x-4=32

7x+4=32

7x=28

x=4

Now that we have x, we can plug it in for segment BC:

BC=3x-4

3(4)-4

12-4

8

Therefore, choice B is correct

A cone, a cylinder and a sphere all have the same radius and the same height.Which would have the largest volume?

Answers

A sphere ms.gurl ya welcome

Answer:

The sphere and the cylinder

How do you decide which rational number operations to use to solve problems.

Answers

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above

Answers

Answer:

Your answer is (4,1).

Step-by-step explanation:

5x - 2y = 18

5(4) - 2(1) = 18

20 - 2 = 18

18 = 18 (Which means it's correct)

Let me know if you need anymore help!

3.3 X 10^{5} + 44{,}000 =3.3⋅10
5
+44,000

Answers

Answer:

374,000 or 3.74*10^5

Step-by-step explanation:

if its wrong u can report me and also srry if i got is wrong

Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:

A)

3

B)

1

C)

4

D)

2

Answers

Answer:

B

Step-by-step explanation:

(a+b)^2

using Pascal triangle

1 1

1 2 1

1 3 3 1

so the third term in the expansion of (a+b)^2

we use

1 2 1

a^2 + 2ab+b

hence the coefficient of third term is 1

option B is collect

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

315 inches

Step-by-step explanation:

180 + 180 * 075 =

180 + 135 = 315

Answer:

The truck is 315 inches long.

Step-by-step explanation:

Which expressions are equivalent?


Select Equivalent or Not equivalent for each pair of expressions

3(a−b) and 3a−3b

– 3( a−b ) and 3a−3b

– 3( a−b ) and 3a−3b

2a(2+b) and 4ab

Answers

Answer:

3(a-b) and 3a-3b. Equivalent

2a(2+b) and 4ab. Not equivalent

Step-by-step explanation:

hope this helps:)

GO TO PHYSICS COLLEGE AND ANSWER MY QUESTIONS PLEASE SO I CAN MARK YOU BRAINLESSLY (however you spell the thang) The questions are also above too

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

$20

Step-by-step explanation:

you divide 40 by the two tickets and get $20.

Answer:

$20

Step-by-step explanation:

2 into 40 = 20

3 into 60 = 20

4 into 80 = 20

pls pls pls pls help

Answers

Bird is the first choice and fish is the first as well

plz answer! only if correct

Answers

Answer:

should be 180

Step-by-step explanation:

All triangles add up to 180 degrees based on the triangle sum theorem

It should be 180 I think it is 180 so yeah

2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm

Answers

D. 92

34+34=68
12+12=24
68+24=92

Help me Need help will get barinliest

Answers

Answer:

6

Step-by-step explanation:

Hope this helps. :)

Answer:

y=kx

=6

Step-by-step explanation:

y=kx I think cause y is directly proportional to x??

so

12=k2

12/2=k2/2

k=6

How do you do this for expanding and factoring expressions 8(4x-12)

Answers

Answer:

32x - 96

Step-by-step explanation:

Apply the distributed property:

8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96

I hope this helps!

please help!
what’s the value of x?
8
56
12
62

Answers

Answer:

56

the picture below shows one that is parallel to the

which line is 56

5x + 3y = -3

2X - 3y = 24

Answers

Answer:

Y=-5/3x-1

y=2/3x-8

If you are adding then it is:

7x=21

x=3

Step-by-step explanation:

5x+3y=-3

3y=-5x-3

y=-5/3-1

2x-3y=24

-3y=-2x+24

y=2/3x-8

Answer:

If you add the two equations, you get

-5x = -10

Step-by-step explanation:

it might be wrong

can someone help me with 11 please

Answers

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

How can you figure out the next number in the pattern below? Write a conjecture that describes the pattern.

29, 28, 26, 23, 19...

Answers

It’s 14
Hope this helps

What is the surface area of the solid?

Answers

Answer:

B

Step-by-step explanation:

HELP ASAP :( ILL GIVE BRAINLIEST

Answers

What do you need help with?

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The correct statements about given synthetic division are C, D, and F

What is a quadratic polynomial?

"It is a polynomial with degree 2."

What is synthetic division?

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]

We can factorize above quadratic polynomial as,

[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]

This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)

And the roots of the polynomial would be,

[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]

This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]

Therefore, the correct statements about given synthetic division are C, D, and F

Learn more about polynomial here:
https://brainly.com/question/11536910

#SPJ2

OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance

Answers

Answer:

b) 75%

c) 150%

d) 90%

Step-by-step explanation:

Apply the Pythagorean Theorem to find the distance between points A and C.

Answers

C) sqrt72 Units

C to B is 6 units
A good B is 6 units

6 squared + 6 squared = sqrt 72

Math
A shirt costs $24.99. After using a gift card as a partial payment, you still
owe $9.99. What is the value of the gift card?
Your answer

Answers

Answer:

15

Step-by-step explanation:

Answer:

yes the answer Is A

Step-by-step explanation:

all you have to do is add and subtract

Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30

Answers

Answer:

x = 8

Step-by-step explanation:

Let there are x friends.

The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.

Total cost = $83.30

We need to solve for x. The equation for the scenario is given by :

$2.50x + $4.85x + $24.50 = $83.30

Taking like terms together

$2.50x + $4.85x = $83.30-$24.50

7.35 x = 58.8

x = 8

So, there are 8 friends.

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

What decimal number does point A on the number line below represent?

A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.

−0.75
0.75
−1.25
1.25

Answers

Answer:

I think its -0.75.

Step-by-step explanation:

Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol

Answer:

WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3

Step-by-step explanation:

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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