How do you graph a quadratic function?

Answers

Answer 1

Answer:

Step-by-step explanation:

Compare the equation with the standard form, y=ax2+bx+c . Since the value of a is positive, the parabola opens up.

So, y=0 implies, by the zero product property, x+4=0 or x−2=0 .

Substitute x=−1 in the equation y=−x2−2x+8 to find the y -coordinate of the vertex.


Related Questions

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

1 p
1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?

Answers

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

 

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...

Answers

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15

Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.

Answers

Answer:

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

Step-by-step explanation:

Recipe for 1 smoothie:

1/3 of an apple

1/4 of a lemon

2/3 of peach

A family of 6 arrives and they all want that smoothie.

Multiply every recipe for 1 smoothie by 6

Recipe for 6 smoothies:

6 × 1/3 of an apple

= 6/3 = 2 apples

6 × 1/4 of a lemon

= 6/4 = 3/2 of a lemon

6 × 2/3 of peach

= 12/3 = 4 peaches

Recipe for 6 smoothies:

2 apples

3/2 of a lemon

4 peaches

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answers

Step-by-step explanation:

The height of the swipe card is given by :

[tex]h(t)=-3t^2+15t+18[/tex] .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

These problems are so confusinggggggg

Answers

Answer:

C (both)

step by step explanation:

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Substitute the values of (x, y)

(1, 11)

11 = 8*1 + 311 = 11yes

(-1, -5)

-5 = 8(-1) + 3-5 = -8 + 3-5 = -5 yes

Both pairs are solutions

Correct choice is C

HELPPME PLEASE ASAP i will give brainliest

Answers

Since it’s a right angle (90 degree angle) and you know that the other angle is 73

You do 90-73 = 17

X = 17 degrees

Answer:

don't know but I think these is the answer =

17

Step-by-step explanation:

90 - 73 = 17

A shape is made of 9 right triangles of equal size and three identical rectangles.
Each rectangle measures 7 mm wide by 3 mm high. The rectangles are each
7 mm wide by 3 mm high. What is the total area, in square millimeters,
of the shape?

Answers

Answer:

The area of the figure is 157.5 square millimeters.

Step-by-step explanation:

Since a shape is made of 9 right triangles of equal size and three identical rectangles, and each rectangle measures 7 mm wide by 3 mm high, while the rectangles are each 7 mm wide by 3 mm high, to determine what is the total area, in square millimeters, of the shape, the following calculations must be performed:

Area of a rectangle: base x height

Area of a triangle: (base x height) / 2

7x3 = 21 = Rectangle area

7x3 / 2 = 10.5 = Triangle area

21 x 3 + 10.5 x 9 = 157.5

Thus, the area of the figure is 157.5 square millimeters.

HELP PLZ

1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300

Answers

The answer is a.............

Answer:

Step-by-step explanation:

All of them beside D and A

A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth

Answers

Answer:

12.4 units

Step-by-step explanation:

We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance

= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)

For side A

(-5 , -1) (-2, -1)

= √(-2 -(-5))² + (-1 - (-1))²

= √(-2 + 5)² + (-1 + 1)²

= √3² + 0

= √9

= 3 units

For side B

(-2, -1), (-3,-4)

= √(-3 -(-2))² + (-4 -(-1))²

= √(-3 + 2)²+ (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

For side C

(-3,-4), (-6,-4).

= √(-6 -(-3))² + (-4 - (-4))²

= √(-6 + 3)² + (-4 + 4)²

= √-3² + 0²

= √9

= 3 units

For side D

(-5 , -1), (-6,-4)

= √(-6 - (-5))² + (-4 - (-1))²

= √(-6 + 5)² + (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

From the above calculation , we can see that,

side A = side C

side B = side D

The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)

= 2(3 + 3.2) units

= 2(6.2) units

= 12.4 units

Ivan had 1,500 flyers printed to announce the opening of his new coffee shop. He paid $0.06 per flyer he's paying his friends $0.25 cents per flyer to deliver them. How much will Ivan pay to have all the flyers printed and delivery

Answers

25+6=31
So you have to multiply 0.36 by 1500 to get your answer
Answer is 540
Plz correct me if I’m wrong

Help me please with math

Answers

Answer:

d. 2x³y + 12x²y² + 18xy³

Step-by-step explanation:

Volume = l x b x h

= 2xy × x + 3y × x + 3y

= 2xy × (x + 3y)²

= 2xy × (x² + 6xy + 9y²)

= 2x³y + 12x²y² + 18xy³

Solve the system by substitution.
y = 7x – 20
y = 2x

Answers

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

find the value of given expression

[tex] \sqrt{99 - ( - 1)} [/tex]

Answers

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

± 10

Step-by-step explanation:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10

1+1
Please help this is worth 80% of my grade

Answers

Answer:

2

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

So you take your numbers, 1 and 1.

You add them together 1+1.

You have your answer, 2.


Describe the pattern, write the next term, and write a rule for the nth term of the sequence,

-15,-24,-33,-42

Please show work

Answers

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?

Answers

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

A cable that is 42 feet long is divided into lengths in the ratio 3:4.

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

= 18

And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

= 24

Learn more: https://brainly.com/question/14279491?referrer=searchResults

The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.

Answers

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex]

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

[tex]\frac{3}{8}[/tex]

Multiply by 100%

[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]

[tex]\frac{3}{8} = 0.375 * 100\%[/tex]

[tex]\frac{3}{8} = 37.5\%[/tex]

More trig ratios see attachment

Answers

Answer:

TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15

Step-by-step explanation:

Tan = opposite/adjacent, so 9/12

WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15

Tan again, is opposite/adjacent, so 12/9

Cos is adjacent/hypotenuse, so 12/15

Hopefully this helps! Let me know if you have any questions

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *

Answers

To find the component form, u only need to know how to substitute figures for letters. What do I mean by this?

If initial side is (x1,y1)
Then x1 = -1, and y 1 = 16
If the terminal side is x2, y2
Then x2 =1 and y2 =9

This component from p is x2-x1 y2-y1
In this case <[1-(-1)], (9-16)
Which give us
2,-7

If p = x ,y using Pythagorean’s theorem
2(2) + (-7)(7)
4+49
53
Square root of 53 is
7.28010988928
7.3

(10-x)(3x -9)=0

NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.

(10-x)(3x-9)=0 when

10-x=0, x=10

3x-9=0, x=9/3=3

So there are two solutions when x=3 and x=10

Please help meeeee- look at the figure

Answers

Answer:

somethings not right lm.ao

can someone help with this i don't get it ​

Answers

Answer:

Lord have mercy thats a bunch of numbers I woud help but i dont know how to start

Step-by-step explanation:

7 th grade ixl helppppppppppp

Answers

Answer:

Question 1= EFC and GFH

Question 2=60

I'm not sure but I think its right!

Pls let me know

Also pls mark me brailiest

Download photo math

Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is

Answers

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

it has to be a exponent

Answers

Answer:

7

when dividing exponents with the same base, you subtract them. so, 11-7 = 4

please help as soon as possible and please don’t take advantage of the points


a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

Write the standard equation of a circle with center (-2, -1) and radius 2.

Answers

Answer:

(x+2)^2+(y+1)^2=4

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle

Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared

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