Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

Answers

Answer 1

Answer:

(-1/12)(x-3)(x-8)

or

[tex]-\frac{x^2-11x+24}{12}[/tex]

Step-by-step explanation:

If something has x intercepts of (3,0) and (8,0) we can write the following

y=(x-3)(x-8)

To make the y intercept (0,-2) we will mulitply this by some constant, a

y=a(x-3)(x-8)

to solve for a set y= -2 and x=0

a(0-3)(0-8)= -2

a(-3)(-8)= -2

24a= -2

a= -1/12

Which means our final equation is

(-1/12)(x-3)(x-8)

which in standard form is equal to

[tex]-\frac{x^2-11x+24}{12}[/tex]


Related Questions

Where do the parabola defined by y=-x^2+4x+1 and the line defined by y=-x+5 intersect?

Answers

Where do the parabola defined the same thing A

A box contains erasers of two
different colors: green and blue.
The ratio of green to blue is 7:5. If
there are 48 total erasers in the
box, how many total green erasers
are there?

Answers

Answer:

There will be 28 green erasers. I know that the ratio is also 28:20, so there are 20 blu erasers.

Step-by-step explanation:

I time 7 by 4 and 5 by 4 to get the new ratio. I counted the ratios to get to 48.

50 POINTS !!


PLEASE HELP

EXPLAIN HOW YOU GOT IT !!!!

ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

6 cm = ______ mm *
50 mm = ______ cm
100 mm=_______cm
20 mm = ______ cm
5kg = ______ g *
800g = _____kg *
6000mg = ______kg *
2lit = _____ml *
75ml = ____lit *
82km = ____m ​

Answers

6 cm =60mm
50 mm =5cm
100mm =10 cm
20mm = 2cm
5kg=5000g
800g= 0.8 kg
6000mg =0.006 kg
2 lit = 2000ml
75 ml =0.075 lit
82km =82,000 m

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m

Simplify.
21. (2x^4- 6x^3 + x^2 - 3x - 3) / (x - 3)

Answers

Answer:

https://www.tiger-algebra.com/drill/2x~4-6x~3-x~2_3x/

A number is multiplied by 4, That result is added to 12. The final number is 40.
What is the original number.
A. 2
B. 7
C.13
D.22

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 7

HELP PLZZ TIMED TEST 5 MIN LEFT!

Answers

Step-by-step explanation:

answer: 135 degrees for the missing side

The fourth one is the answer

How to solve Solve 3!

Answers

Answer:

by solving 3

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+124x+127

Answers

Answer:

Step-by-step explanation:

so when the height is zero, that's when the rocket hits the ground.  The equation will have two zeros,  but one would be for a negative time,  or before the rocket is launched.    so we only one the one after the rocket is launched.

use the quadratic formula to solve for  x  ( which is time)

-124 +- sqrt [ [tex]124^{2}[/tex] - 4*(-16)*(127) ] / 2 (-16)

-124 +- sqrt [15376 + 8128 ] / -32

-124 +- sqrt [23504 ] / -32

-124 +- 153.310 / -32

if we take the positive part it will become the negative time so skip that one try the negative part 1st

-124 - 153.310 / -32

-277.310 / -32

8.6659 seconds to hit the ground.    ( time of flight)  aka   TOF

8.67 seconds  ( rounded to nearest 100th)

 

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
HELP!

Answers

Answer:

9

Step-by-step explanation:

The GCF between 54 and 27 is nine.

When you add the tree together which is 54+27 you’ll get 81

The greatest common factor of 81 is 9

So 9 times 9 =81

The best answer would be 9 rows with 9 trees in each row


A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?

Answers

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

What is the miles per hour travelled?

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

To learn more about average speed, please check: https://brainly.com/question/21734785


Carmen is painting a rectangular wall that is 9 feet long and 14 feet wide. What is the area that Carmen will paint?
o
A 23 square feet
B. 46 square feet
o
C. 63 square feet
D. 126 square feet
PLEASE HELP

Answers

D !! Have a great day love

A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she most likely observe?

Answers

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

The problem solving is on the image, 6th grade

Answers

So when you are using ratios you can simplify them, just like fractions. So when you simplify 15:330 you can divide both numbers by 15 and get 1:22. So this means for every teacher there are 22 students. So you should multiply 23 by 22 to get answer B, you need to divide 550 by 22 to get answer c, and you need to multiply 36 by 22 to get answer D. Could you mark branliest? Let me know if I helped!

find the slope of the line that passes through points (-1, -10) and (-1, -2)

Answers

Answer:

undefined

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1- x2} }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

[tex] = \frac{ - 2 - ( - 10)}{ - 1 - ( - 1)} [/tex]

[tex] = \frac{8}{0} [/tex]

(undefined)

Notice that the 2 points have the same x-coordinate of -1, which means that the line is a vertical line. Vertical lines have an undefined slope.

If a circle has an area of 144 sq. cm, what will be its area if the radius is reduced to one third?

Answers

Answer:

Step-by-step explanation:

1/3; 33.33 or 0.33

1. It is a four-digit whole number.
2. Each of its digits is even.
3. Each of its digits is different.
4. The sum of its one digit and its hundreds digit is 10.
5. The sum of its tens digit and its thousand digit is 10.
6. It is greater than 7000.
7. It is divisible by 4.
8. The numeral O is not one of its digits.
9. It is divisible by 8.
10. Its hundreds digit is 6.

Answers

Answer:

8624

Step-by-step explanation:

let's write four blanks to represent the number _ _ _ _

by rule #10 we can fill in one digit

_ 6 _ _

using rule 4 we can wee that the ones digit is 4

_ 6 _ 4

We know that the thousand's digit has to be an even number greater than 7 (which leaves 8 only)

8 6 _ 4

using rule 5 we can see that the tens digit is 2

get get

8624

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!

Compare the effects of increasing biodiversity and overpopulation on an ecosystem.

a.) An increase in biodiversity is not good for the ecosystem because it provides a variety of species. Overpopulation is good for the ecosystem because there are more individuals.

b.) An increase in biodiversity is good for the ecosystem because it provides a variety of species. Overpopulation is not good for the ecosystem because there are more individuals.

c.) Neither increasing biodiversity nor overpopulation are good for the ecosystem because they provide a variety of species and more individuals.

Answers

Answer:

B

Step-by-step explanation:

Overpopulation causes killing of animals

Answer:

B) An increase in biodiversity is good for the ecosystem because it provides a variety of species. Overpopulation is not good for the ecosystem because there are more individuals

Step-by-step explanation:

The bigger the ecosystem is, the more producers there are, which makes more consumers.

If there are too many consumers, then more populations will go extinct.

(I also had this on my quiz, ill tell you down below if I got it right)

EDITED!!: It was correct!! Have a nice day y'all! :)

PLZZZ HELP!!! Brainliest to whoever can help!!! T^T

Answers

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Connie is designing a countertop for her kitchen, as shown below.
3 ft
4.5 ft
3 ft
Which measurement is closest to the area of the figure in square feet?
A 13.5 ft
B 18 ft
C 27 ft
D40.5 ft?

Answers

Answer:

c. 27

Step-by-step explanation:

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
6x − y = 1
4x − 3y = −11
Select one:
a. 4(−6x + 1) − 3y = −11
b. 4(6x + 1) − 3y = −11
c. 4x − 3(6x − 1) = −11
d. 4x − 3(−6x − 1) = −11

Answers

Answer:

6x − y = 1 -------(1)

4x − 3y = −11 ------(2)

(1)×3

18x - 3y =3 ------(3)

4x − 3y = −11 ------(2)

(3)+(2)

18x - 3y + ( 4x - 3y) = 3+(-11)

d. 4x − 3(−6x − 1) = −11 is the answer.

Find the equation that has a slope of -1/8 and passes through the point (0,-4)
A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4

Answers

Answer:

Option C

Step-by-step explanation:

Given :-

The slope of the line is -1/8The line passes through (0,-4) .

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

An airplane ascended at a rate of
2,000 feet per minute. What is the
altitude of the plane after 15 minutes

Answers

Answer:

the altitude of the plane is 30,000 after 15 minutes

Step-by-step explanation:

since the plane goes up 2,000 ft per minute I multiplied 2,000 by 15(the minutes) and got 30,000

find the area of this figure

Answers

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

X-7;x=23. I NEED help

Answers

Answer:

x-7=16

Step-by-step explanation:

if x=23 substitute it in the equation

so; 23-7=?

23-7=16

your answer would be 16

Answer:

my dad never returned home

The perimeter of a rectangular field is 332 yards. If the length of the field is 92 yd what is the width?

Answers

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

[Perimeter Formula - Rectangle] Substitute in variables:
[tex]\displaystyle 332 \ \text{yds} = 2(92 \ \text{yds}) + 2w[/tex]Simplify:
[tex]\displaystyle 2w + 184 \ \text{yds} = 332 \ \text{yds}[/tex][Subtraction Property of Equality] Subtract 184 on both sides:
[tex]\displaystyle 2w = 148 \ \text{yds}[/tex][Division Property of Equality] Divide both sides by 2:
[tex]\displaystyle w = \boxed{ 74 \ \text{yds} }[/tex]

∴ the width of the field is equal to 74 yards.

___

Learn more about Geometry: https://brainly.com/question/27795993

___

Topic: Geometry

nelda needs a wrench to fix her bike a 5/8 inch wrench was too big a 1/4 inch wrench what's the small which of the following would be bigger than 1/4 Inch wrench in smaller than the 5/8 inch wrench

Answers

Answer: 1/2

Step-by-step explanation:

find the equation of the straight line which has a gradient of 3 and passes through the point (-1, 3)

Answers

Answer:

y=3x+6

Step-by-step explanation: 3=3(-1)+b

                                             3=-3+b

                                             +3  +3

                                              6=b

What is the volume of the rectangular prism?

Type the answer in the boxes below.


Answers

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 3.75 cm³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The dimension of the rectangular prism in terms of small cubes is,

Length = 5 cubesWidth = 2 cubesHeight = 3 cubes

Therefore, the number of cubes that made rectangular prism are,

Number of cubes = 5 × 2 × 3 = 30 cubes.

As the length of a side of the cube is 0.5 cm, therefore, the volume of a single cube is,

Volume of a single cube = a³ = (0.5cm)³ = 0.125cm³

Since the volume of each cube is 0.125cm³, therefore, the volume of the rectangular prism will be,

Volume of prism = 30 × 0.125 = 3.75 cm³

Hence, the volume of the rectangular prism is 3.75 cm³.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ2

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.

Answers

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

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