The graph of a quadratic equation opens down when the value of is negative.

Answers

Answer 1

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:


Related Questions

Find the quotient of 1 5/6÷ 2 1/8 Give your answer as a fraction in its simplest form.

Answers

Answer:

1 5/6 = 11/6

2 1/8 = 17/8

11/6 ÷ 17/8

11/6 × 8/17

= 44/51

Hope this helps.

Answer:2.67 or 4/2

Step-by-step explanation: it just is

Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?

If the track was a hexagon, how far would Ishmail jog in 6 laps?

Answers

Answer:

Ishmail will  jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.

Ishmail will  jog 9 miles if he completes 6 laps around the track, if the track is hexagon .

Step-by-step explanation:

length of one side of pentagon = 1/4 miles

we know that number of sides of pentagon = 5

thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4

If anyone takes 1 lap of pentagon he will travel 5/4 miles

then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles

thus, in 6 laps 15/2 miles will be traveled.

Ishmail will  jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.

_______________________________________

we know that number of sides of hexagon = 6

thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles

If anyone takes 1 lap of hexagon he will travel 3/2 miles

then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles

thus, in 6 laps, 9 miles will be traveled.

Ishmail will  jog 9 miles if he completes 6 laps around the track.

Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?

Answers

Answer:

A

Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.

Answer:

A. 3 red squares to 6 green squares.

Step-by-step explanation:

We have 15 red squares for 30 green squares. The ratio is:

[tex]$\frac{15}{30} $[/tex]

Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides  [tex]$\frac{3}{6}$[/tex]  , other examples:

[tex]$\frac{1}{2} $[/tex]

[tex]$\frac{5}{10} $[/tex]

Order 0.12, 0.1, 0.02, and 0.21 in order from least to greatest.

Answers

This is the answer

0.02

0.1

0.12

0.21

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Please help as quick as possible

Answers

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3

So the common ratio is 2/3

2/27*2/3= 4/81 is the next term

The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?

A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power

Answers

Answer:

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Step-by-step explanation:

In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,

[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]

The ratio is given by the Sun's diameter divided by the Earth's, as shown below:

[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Ramona is training to run her first marathon, 26.2 miles. One kilometer is equal to approximately 0.62 miles. About how many kilometers is Ramona planning to run?



0.24 kilometers

16.25 kilometers

26.2 kilometers

42.25 kilometers

Answers

Answer:

42.25

Step-by-step explanation:

26.2 miles/ 0.62 miles= 42.25

Answer:

42.25

26.2 miles divided by 0.62 miles= 42.25

Step-by-step explanation:

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Question 5 options:

A)

$13.79 per ticket

B)

$12.55 per ticket

C)

$10.99 per ticket

D)

$11.21 per ticket

Answers

Answer:

A) $13.79 per ticket

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential increase function:  

A = P (1 + r) t  

Where:  

p = original price

r = increase rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Feel free to ask for more if needed or if you did not understand something.  

I need help cause I don’t understand the concept

Answers

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

this is numbers 1,2 and 3

Answers

Answer:

1. c

i think its right i hope it is im so sorry if it is not

if you can do both that will be awesome. tysm

Answers

Answer:

8x + 16 = ?, (16+x) x 8

Step-by-step explanation:

plz help me with my question go to my profile and answer the most recent question i asked

Answer:

[tex]A=8(x+16)\\A=8x+128 \text{ units square}[/tex]

What is the measurement of Angle J?*

Answers

Answer:

So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees

Answer:

J = 45

Step-by-step explanation:

Since the two sides are the same, the base angles must be equal.  Since it is a right triangle, the two angles share 90 degrees

90/2 = 45

Each angle is 45 degrees

J = 45

Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18

Answers

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]

4. A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).

options:
A. c = 230h + 20p
B. c + 180 = 50h + 20p
C. c = 180 + h + p
D. c = 180 + 50h + 20p

Answers

Answer:

it is D c= 180 + 50h + 20p

Step-by-step explanation:

c is the total cost and the boat is 180 but for additional hour it would be +$50

now the first four passenger is free but if another person comes on then it would be +$20 hope this help

The linear equation which describes the total cost of the rental is           c = 180 + 50h + 20p

The correct option is an option (D)

What is a linear equation?

"It is an equation in which the highest power of the variable is always 1."

For given example,

The boat rental has a flat fee of $180 for up to three hours.

Fixed rental cost = 180                       ...............(1)

The boat rental has $50 per hour for each additional hour.

Let, h is each additional hour (over 3)

So, the rental cost for each additional hour = 50h               .............(2)

The first four passengers are included in this cost, but $20 is charged for each additional passenger.

Here, p is each additional passenger (over 4)

So, the rental cost for each additional passenger = 20p         ..................(3)

From (1), (2) and (3),

the required linear equation would be,

c = 180 + 50h + 20p

Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p

The correct option is an option (D).

Learn more about a linear equation here:

https://brainly.com/question/12974594

#SPJ2

Four friends hosted a Graduation party: Genesis spent $21 for drinks, Mya spent $25 for food, Alina spent $16 for invitations, and Mylana spent $18 for decorations. The friends want to share the party expenses equally, and Alina will pay the entire amount she owes to one person. Who owes money to whom?

Answers

Answer:

Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.

Step-by-step explanation:

As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:

$21+$25+$16+$18= $80/4= $20

As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.

Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.

Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.

A. 1/2
B. 2
C. 1
D. -2

Answers

Is the C

Because 3+(-1) = 2

2:2= 1

Answer:

C

Step-by-step explanation:

2y + 18x = 2x(x + 9)
3(y - 4) = 9x - 12-6
Help! Please show work and match the algebraic functions to the correct graph.

Answers

Answer:

2y + 18x = 2x(x + 9) ⇒ Graph II

3(y - 4) = 9x - 12-6 ⇒ Graph I

Step-by-step explanation:

Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.

Answer:

Graph 2 is a curved graph and matches x^2 measured data.

Step-by-step explanation:

Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance the rock traveled, in feet, after each second. Use the information in the image to answer the question.

Answers

Answer:

Step-by-step explanation:

1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).

2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground

you may have to change the english a bit and english is not my first language

hope this will help

An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

What is the contrapositive of the following statement?
If M is the midpoint of PQ, then PM is congruent to OM.
If M is the midpoint of PO, then PM is congruent to OM.
If PM is congruent to OM, then M is the midpoint of PO.
If M is not the midpoint of PQ, then PM is not congruent to QM.
If PM is not congruent to OM, then M is not the midpoint of PQ

Answers

Answer:

For the statement;

If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]

The contrapositive statement is therefore;

If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]

Step-by-step explanation:

Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive

The contrapositive of the statement p → q is equal to ~p → ~q

Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement

Answer:

If M is not the midpoint of , then  is not congruent to

Step-by-step explanation:

Determine the area of the rectangle.(Show all of your work)
Your answer
8 pd
Joe buys sneakers that normally cost $120.00. They are on sale for 30%
off. How much will one pair of sneakers cost, before tax?

Answers

The sneaker cost 84$ because 30% of 120 is 36 and since it’s 30% off then we have to subtract 36 from 120 which is 84

2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2

Answers

Answer:

B and E

Step-by-step explanation:

Given the rational expression

[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator

2x² - 32 ← take out a common factor of 2 from each term

= 2(x² - 16) ← (x² - 16) is a difference of squares

= 2(x - 4)(x + 4)

The expression can now be written as

[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.

2(x - 4)(x + 4) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

These are the values of x that make the expression undefined.

x = 4 → B

x = - 4 → E

B and e idk what I’m doing I thinking’s about deleting this dumb app

What is the measure of 0?

Answers

Answer:

C. 4

Step-by-step explanation:

arc length = radius*θ ,

where θ is an angle in radians.

12 = 3*θ

θ = 12/3 = 4

The answer is c.4 took this

use the data from the table to create a scatter plot. plot al the data points from the table.

Answers

Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:


GUYS PLS I NEED HELP

Answers

Answer:

z = 75°

Step-by-step explanation:

You can see that CGE and FGD are vertical angles.

FGD = 15°

Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°

105° + z° = 180°

z = 75°

Answer:

75 degrees...

Step-by-step explanation:

if you look at the diagram, the angle with 15 degrees is the same as the one opposite!

So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!

Now we do 90 degrees - 15 degrees

This gives us 75 degrees!

So x = 75 degrees!

HOPE THIS HELPS!!

I need help with this question

Answers

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1

Answers

I think it is the first answer I just now did this problem yesterday z.Y<1/4x-1

What is the length of the unknown leg in the right triangle?

A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards

Answers

Answer:

8

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

1. How many possible outcomes are there for flipping a coin three times

1. 3
2. 14
3. 8

2. What is the theoretical probability of all three flips being heads

1. 1/8
2. 3/8
3. 1/2

3. What is the probability of thete being at least one tail

1. 1/8
2. 1/2
3.7/8

Answers

Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Yasmine earns $54 for dog walking. She walks her neighbors dog 12 times.
Write an equation that represent how to find the amount Yasmine earns per dog walk explain what your variable represents.
How much does Yasmine earn per dog walk.

Answers

Answer:

$4.5

Step-by-step explanation:

If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.

54/12

= $4.5  So she earns $4.5 every time she walks her neighbors dog

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