Which equation could generate the curve in the graph below?

On a coordinate plane, a parabola opens down. The parabola is in quadrants 2 and 3, and has its vertex in quadrant 2.
y = –2x2 + 3x – 5
y = –2x2 – 4x – 2
y = –2x2 – 16x– 28
y = –2x2 +16x –28

Answers

Answer 1

Answer:

Its C boys

Step-by-step explanation:

I graphed all of them and compared

Answer 2

The equation that could represent the graph of the parabola is (c) [tex]y = -2x^2 - 16x- 28[/tex]

From the question, we have the following highlights

The parabola opens downThe vertex is in the second quadrant

The second highlight above means that:

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

For a parabola: [tex]y = ax^2 + bx + c[/tex], the vertex is:

[tex](h,k) = (-\frac{b}{2a},f(h))[/tex]

Next, we test the options

(a) y = –2x2 + 3x – 5

We have:

[tex]h = -\frac{3}{-2 \times 2}[/tex]

[tex]h = 0.75[/tex]

The value of h is positive.

So, this cannot represent the parabola

(b) y = –2x2 – 4x – 2

We have:

[tex]h = -\frac{-4}{-2\times 2}[/tex]

[tex]h = -1[/tex]

Substitute -1 for x in the function

[tex]k = -2x^2 - 4x - 2[/tex]

[tex]k = -2(-1)^2 - 4(-1) - 2[/tex]

[tex]k = 0[/tex]

The value of k cannot be 0

So, this cannot represent the parabola

(c) y = –2x2 – 16x– 28

We have:

[tex]h = -\frac{-16}{-2\times 2}[/tex]

[tex]h = -4[/tex]

Substitute -4 for x in the function

[tex]k = -2x^2 - 16x- 28[/tex]

[tex]k = -2(-4)^2 - 16(-4)- 28[/tex]

[tex]k=4[/tex]

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

Hence, [tex]y = -2x^2 - 16x- 28[/tex] could represent the parabola

Read more about parabola at:

https://brainly.com/question/17987697


Related Questions

PLEASE IS DUE IN A FEW MINUTES..

An rock is thrown upward from a platform that is 214 feet above ground at 80 feet per second. Use the projectile formula to determine when the rock hit the ground.

Answers

Looks like you are screwed good luck:)

Sam's dad says he will pay a fraction of his mobile phone bill. Would Sam rather his dad paid 1/2 of the bill or the 1/3?

Answers

Answer:

matters

Step-by-step explanation:

if sam doesnt want his dad to spend a lot of money on him then 1/3

but if sam wants to pay less then 1/2

1/2 is more then 1/3

How many factors of 100 are also multiples of 5?

Answers

Let us write the factors of 100. A factor of 100 can only be a multiple of five if it is divisible by five.

Divisibility rule of 5: A number can only be divisible by five if the ones digit of the number is a five or 0.

Factors of 100 ⇒ numbers divisible by 100 ⇒ 1, 2, 4, 5, 10, 20, 25, 50, 100

When checking each factor of 100;

1 is not a multiple of 5 ⇔ not divisible by 5.2 is not a multiple of 5 ⇔ not divisible by 5.4 is not a multiple of 5 ⇔ not divisible by 5.5 is a multiple of 5 ⇔ divisible by 5.10 is a multiple of 5 ⇔ divisible by 5.20 is a multiple of 5 ⇔ divisible by 5.50 is a multiple of 5 divisible by 5.100 is a multiple of 5 ⇔ divisible by 5.

Five factors are multiples of 5.

Therefore, five factors of 100 are multiples of 5.

X^2-5x+6=0 quadratic form

Answers

Answer:

x = 3,2

Step-by-step explanation:

solve for x by finding a,b,c and then apply the quadratic formula.

Answer:x

=

3

x

=

2

Explanation:

The quadratic formula is:

x

=

b

±

b

2

4

a

c

2

a

for a quadratic of the form

a

x

2

+

b

x

+

c

.

We have

a

=

1

,

b

=

5

, and

c

=

6

.

x

=

5

±

5

2

4

(

1

)

(

6

)

2

(

1

)

x

=

5

±

25

24

2

x

=

5

±

1

2

x

=

5

±

1

2

Hence,

x

=

6

2

=

3

and

x

=

4

2

=

2

I'm not sure why you wanted to use the quadratic formula, but you could just factor the quadratic:

x

2

+

5

x

+

6

=

(

x

+

3

)

(

x

+

2

)

=

0

x

+

3

=

0

x

=

3

and

x

+

2

=

0

x

=

2

Step-by-step explanation:

which line is parallel to y=8x+11?

Answers

Answer:

Any line with a slope of 8 is parallel to y = 8x + 11.  Some examples are:

y = 8x + 5

y = 8x + 1000

y = 8x +9

It doesn't matter what the y-intercept as long as the slope remains the same for a parallel line.

Answer:

Like the other person said, any line that has the same slope (8) will be parallel.

Step-by-step explanation:

A number t multiplied by −4 is at least −25.

Answers

Answer:

[tex]t\leq 6.25[/tex] in decimal form

[tex]t\leq \frac{25}{4}[/tex] in fractional form

Step-by-step explanation:

-4 times a number t is greater than or equal to - 25. This is what they mean by at least.

[tex]-4t \geq -25[/tex]

Solve for t.

[tex]t\leq \frac{-25}{-4}[/tex] , we flip the inequality because we are dividing by a negative number.

[tex]t\leq 6.25[/tex]

Tank a holds 678500 gallons of water tank b holds 905867 gallons of water how much less water does tank a hold

Answers

Answer:

227367 gallon difference

Step-by-step explanation:

You take the Gallons in tank A and the gallons in tank B and you subtract them to find the difference

use distributive property to rewrite 3×546​

Answers

Answer:

1638

Step-by-step explanation:

3(500)+3(40)+3(6)=1500+120+18=1638

if three fourth of a number is one-thenths, what is the number please show with steps first person answer u will get branliest!!! ​

Answers

Let x be the number we are searching for.

(3/4)x = 1/10

Whats the answer help please


Need now thank you

Correct answer

Will give brainliest

Answers

Answer:The slope is 6/7

Step-by-step explanation:

when finding the slope you will need to move the 6x to the other side of the equation by subtracting which gives you 7y=14-6x and all that is left is to divide by 7 which gives y=14-6/7y

Answer:

6x - 7y = 14

⇔ 6x - 14 = 7y

⇔ 6/7.x - 2 = y

=> the slope is 6/7

Step-by-step explanation:

This table shows the times it took four students to complete a 40-meter race.

Race Times
Student
Time
(in seconds)

Joe
13.07
Justin
13.6

Maria
13.06

Melinda
13.7

Which statement about these times is true?

A: 13.7 > 13.07
B: 13.07 > 13.6
C: 13.6 > 13.7
D: 13.06 > 13.07

Answers

B. 13.07>13.6
Brainliest please I’m tryna rank up

Find the slope of the line through the given points.
(-9, -7) and (-11, -13)

Answers

the slope is gonna be 3

the equation will be y=3x+20

If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
a) 4x + 9
b) 2x + 9
c) 2x - 1
d) 4x + 1

Answers

Answer:

4x+9

Step-by-step explanation:

x-4 +3x+5

x+3x+5+4=4x+9

3 n - 5 p + 2 n = 10 p for n

Answers

Answer:

What do you mean

Step-by-step explanation:

Please solve with elimination
5x + 9y =-5
3x -8y = -3
help I will give brainliest
please show work

Answers

Answer:

Step-by-step explanation:

5x+9y=-3             Multiply both sides by 8

40x+72y=-24

-53x-8y=-3  Multiply both sides by 9

-477x -72y= -27

sum the equations vertically to eliminate one variable  

40x+72y= -24

-477x-72y= -27       (the y cancels out )

-477x =-51                (-24 + -27=-51)

-477x=-51 / -477       divide both sides by -477

x =51/437

5x 51/437=9y= -3   substitute the value of x

y= -174 /437

(x,y) = (51/437,  -174/437)

PLEASE HELP! I WILL GIVE BRAINLIEST! pleeeaaaasssseee!

Solve by factoring

Answers

Answer:

n = -35/1301

Step-by-step explanation:

1225n+76n=1301n=-35

n = -35/1301

Which of the following is a prime number between 40 and 50? A. 41 B. 45 C. 44 D. 49

Answers

Answer:

A.41

Step-by-step explanation:

What is the image point of (1, 4) after a translation left 5 units and down 5
units?

Answers

Answer:

(-4,-1)

All you have to do to find it is subtract x by 5 and subtract y by 5. :)

The car travelled at the constant speed of 50.5 mph for 3 hours.
How far did the car travelled?

Answers

151.5 miles

Step-by-step explanation:

50.5 × 3 = 151.5

Answer:

151.5 Miles

Step-by-step explanation:

A constant speed means the speed was the same throughout the whole trip, also meaning there were no stops. So the answer is as simple as 50.5x3

Hope this helps :)

Jeff ordered 5 pizzas for his daughters birthday
party. Each pizza has 8 slices. At the party, 50%
of the pizzas were eaten. When the party was
over, Jeff ate 20% of what was left. How many
did Jeff eat?

Answers

Answer:

4 slices.

Step-by-step explanation:

5 x 8 = 40. 40 slices of pizza divded by 2 since 50% = 2.

20 slices, 20% of 20 slices or 20 in general is 4

carla, bev, and ashley took their unit 2 math test. carla made an 80 and bev made a 75. what was ashleys score on the test if their average was 78.

Answers

Answer:

Ashley = 79

Step-by-step explanation:

[tex]Average=\frac{Carla+Bev+Ashley}{3}=78\\\\\frac{80+75+Ashley}{3}= 78 \\\\\frac{155+Ashley}{3}=78\\\\\frac{155+Ashley}{3}*\frac{3}{1} =78*3\\\\155+Ashley=234\\[/tex]

Subtract 155 from both sides;

Ashley = 79

Kellie ran 1/5 mile in 1 1/2 minutes at this rate , how long would it take her to run 1 mile

Answers

Answer:

PLZ MARK BRAINLIEST

The answer is 7.5 miles or 7 1/2.

Step-by-step explanation:

1 1/2 times 5= 7 1/2 or 7.5 miles

Answer:

7 1/2 min

Step-by-step explanation:

1.5 x 5 = 7.5 She ran 1 mile in 7 1/2 min

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?

y −2x+2
y 2x−2

Answers

Answer:B  i think......

Step-by-step explanation:

Answer: It's y>-2x+2

maria spent 4/7 of money on books,1/5 of it on a pen and 1/14 of it on a newspaper. She has left 220 naira. How much did she originally have?

Answers

Let the x be the amount of money Maria had.
3/7 + 1/4 + 1/8 = 45/56
She spend 45/56 of x.
∴ 45/56 × x = (45/56)x
1 - 45/56 = 11/56
(11/56)x is the money that was left.
This is equivalent to 11.
(11/56)x = 11
11x = 11×56
11x = 616
x = 616/11
= 56.
Maria had #56.

Find the area. Simplify your answer.
3x-3
3x+6

Answers

Answer:

3x^2 + 7x - 18

Step-by-step explanation:

Write the equation of the line that passes through the points (-8,-5) (5,−8)

Answers

Answer:

y=-3/13x-89/13

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-8)-(-5)/5-(-8)

m=-3/13

y-y=m(x-x1)

y-(-8)=-3/13(x-5)

y+8= -3/13x+15/13

-8 -8

y=-3/13x-89/13

The total area of the polygon is 176 square feet. Find the value of x. x= ft

Answers

Answer:

x = 6 ft

Step-by-step explanation:

Area of the polygon = area of the square + 2(area of the triangle)

Area of the polygon = 176 ft²

Area of the square = length × width = 16 × 8 = 128

Area of the two triangles = 2(½*base*height) 2(½*x*8) = 8x

Plug in the above values into the equation for area of the polygon. Thus:

176 = 128 + 8x

Subtract 128 from each side

176 - 128 = 8x

48 = 8x

Divide both sides by 8

6 = x

x = 6 ft

Answer:

x=6ft

Step-by-step explanation:

Find the slope of the line that passes through (5, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope between (5, 13) and (9, 10) is:

[tex]m=-\frac{3}{4}[/tex]

Step-by-step explanation:

Given the points

(5, 13)(9, 10)

Finding the slope between (5, 13) and (9, 10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{10-13}{9-5}[/tex]

[tex]m=-\frac{3}{4}[/tex]

Therefore, the slope between (5, 13) and (9, 10) is:

[tex]m=-\frac{3}{4}[/tex]

What is the equation of the line shown in the graph?



Drag and drop the expressions to write the equation of the line in slope-intercept form.

y = Response area + Response area

A function graph of a line with two points (-3,-2) and (-1,2) with an x axis of negative five to five and a y axis of negative five to five

Answers

9514 1404 393

Answer:

  y = 2x + 4

Step-by-step explanation:

You have the graph, so you can read the slope and y-intercept from it. The line goes up 2 units for each unit to the right, so the slope is ...

  slope = rise/run = 2/1 = 2

The y-intercept is where the graph crosses the y-axis, at y=4.

The slope-intercept form of the equation for a line is ...

  y = mx + b

where m is the slope (2) and b is the y-intercept (4). Your equation is ...

  y = 2x +4

Answer: First blank; -x

second; -2

Step-by-step explanation:

WILL GIVE BRAINLIEST

Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)

(-7, 8) and (-7,0)

(6,-3) and (-4,-3)

(3,5) and (-1,2)

Answers

Answer:

2.) undefined slope 3.) zero slope (i'm not sure what 1 and 4 are, sorry!)

Step-by-step explanation:

undefined slope has the same x-coordinate and the denominator becomes 0. it also is a vertical line. for a zero slope, it has the same y-coordinate and the numerator is 0. this is a horizontal line. *this is my first response so if i am wrong, that is embarrassing*

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