Jon throws a ball into the air off a platform. The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21 where y is the height, in feet, above the ground when the ball has traveled a horizontal distance of x feet. What is the factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground?

A. (x+7)(-2X+3)
B. (x-7)(-2x-3)
C.(2x+7)(x+3)
D. (2x-7)(-x-3)

Answers

Answer 1

Answer:

B          (-2x - 3 )(x - 7) =  (x - 7)(-2x - 3 )

Step-by-step explanation:

y = -2x² + 11x + 21

find x when y is zero  (the ground)

(-2x - 3 )(x - 7) = 0

(-2x - 3 )  = 0,   (x - 7) = 0

  x = -1.5   and   x = 7   since Jon did not throw the ball behind him (remember he is standing on a platform)  the only possible answer is 7 feet in front of him, but they the question didn't ask for x, so I would answer B.  The answer I got and multiplicans are in reverse order from their choice.

Answer 2

The  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground is (x-7)(-2x-3)

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² +bx+c=0. with a ≠ 0 .

Given that Jon throws a ball into the air off a platform.

The height of the ball is given by y equal minus 2 x to the power of 2 plus 11 x plus 21

y= -2x² + 11x + 21.

Let us factor out the equation by quadratic equation

-2x² + 11x + 21

When we factor out the equation becomes as (x-7)(-2x-3)

Let us verify the solution by applying distribution property

-2x²-3x+14x+21

-2x²+11x+21

Hence, (x-7)(-2x-3) is the  factored form of the expression that could be used to find out how far the ball has traveled horizontally when it hits the ground.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

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Related Questions

The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?

Answers

Answer:

26600 - 33 = 26566

Step-by-step explanation:

sum

Answer:

17,420

Step-by-step explanation:

you multiply 26,000 by .33 which gets 8,580

then subtract 8,580 from 26000 which is 17420

Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?

Answers

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

f(x) = x*6 = 6x

The length of the longer side is:

g(x) = (x + 3)*6 = 6x + 18

The area of the quilt is:

A = 6x(6x + 18) = 36x² + 108x

how to solve by factoring
x^2 + x = 0

Answers

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

I need so much help help me please UwU

Answers

Answer:

Line A: y = 3x + 3

Line B: y = -1/3x + 3

Step-by-step explanation:

Line A points: (0, 3) and (1, 6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6-3)/(1-0)

m= 3

y - y1 = m(x - x1)

y - 3 = 3(x - 0)

y - 3 = 3x

y = 3x + 3

Line B points: (0, 3) and (9, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-3)/(9-0)

m= -1/3

y - y1 = m(x - x1)

y - 3 = -1/3(x - 0)

y - 3 = -1/3x

y = -1/3x + 3

-A sequence is a list of numbers or obje
What is a pattern?
-A pattern is a repetitive sequence and
numbers and almost everywhere you ca
What's More
A. Directions: Give the pattern rule of t
Rul
1. 1, 4, 7, 10, 13
2.2, 8, 32, 128, 512
Rul​

Answers

Answer:

1. Add 3

2. Multiply 4

Step-by-step explanation:

Given

[tex](1)\ 1, 4, 7, 10, 13[/tex]

[tex](2)\ 2, 8, 32, 128, 512[/tex]

Required

The rule

[tex](1)\ 1, 4, 7, 10, 13[/tex]

This is a linear function because successive terms have a common difference

The common difference between each term is:

[tex]d = 4 - 1 = 3[/tex]

[tex]d = 7 - 4 = 3[/tex]

[tex]d = 10 - 7 = 3[/tex]

[tex]d = 13 - 10 = 3[/tex]

The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Add 3

[tex](2)\ 2, 8, 32, 128, 512[/tex]

This is a geometric function because successive terms have a common ratio

The common ratio between each term is:

[tex]r = 8/2 = 4[/tex]

[tex]r = 32/8 = 4[/tex]

[tex]r = 128/32 = 4[/tex]

[tex]r = 512/128 = 4[/tex]

The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Multiply 4

This is not a question it’s just for those who need an answer for questions for 3-1 lesson quiz in savvas for 6th grade math. Feel free to use the answer in the following photos below

Answers

Answer:

thank you very much, this will be of much help

If Mike loses $5 per week, how much does he lose in 4 weeks?

Answers

Answer:

$ 20

Step-by-step explanation:

[tex]1week \: = 5 \\ 4 \: weeks = x \\ \\ x = 20[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.

Answers

Answer:

30% ywww

Step-by-step explanation:

PLEASE GIVE ME AN ANSWER!!!!ILL MARK BRAINLIEST ANSWER

Answers

Answer:

3 3/4

Step-by-step explanation:

3.75 square ft per hr.

5/8 x 6 = 3.75

3 3/4.

I got this question

In sixteen years Paul will be 48 years old.
How old is he now?

Answers

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

7n - 4 (8n+4) = 159

Answers

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Tinisha is planning a birthday party. She can buy:
10 balloons, 8 cupcakes, and 8 hats for $50
5 balloons, 9 cupcakes, and 7 hats for $46, or
12 balloons, 7 cupcakes, and 9 hats for $51
Using b for the number of balloons, c for the number of cupcakes, and h for
the number of hats, write a system of equations to represent this situation.

Answers

Answer:

b+c+h=50

Step-by-step explanation:

Its the first one because you need to have the same amount of hats as cupcakes cause the hat really stands for people.

50 pts please help asap (:

Answers

Answer:

d. 8 units

Step-by-step explanation:

If AC = 16 units then the length of CB is 8 units because DB is perpendicular bisector from the centre of circle.

Answer: B

Step-by-step explanation: I took the quiz

Hope this helps

8% of $796.25 is how much?

Answers

8/100*796.25

=63.7%

Answer:63.7%

Answer: Hello, there! your Answer is below

63.7 would Be the correct answer

Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU

how to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

sin(30°)cos(45°) + cos(30°)sin(45°)

Answers

Step-by-step explanation:

sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2

sin30 = 1/2
cos45 = √2/2
cos30 = √3/2
sin45 = √2/2
answer: √2 + √6
—————
4

find the gradient of the line
with the equation 3x+4y=10

Answers

The gradient of the line with that equation is -3/4

SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation was =σ120. A random sample of 20 students who took the test in 2010 had a mean score of 515. Following is a dotplot of the 20 scores. (a) Are the assumptions for a hypothesis test satisfied? Explain. (b) If appropriate, perform a hypothesis test to investigate whether the mean score in 2010 differs from the mean score in 2009. Assume the population standard deviation is =σ120. What can you conclude? Use the =α0.10 level of significance and the critical value method.

Answers

Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Kristin charges $30 to train a small dog, and $50 to train a big dog. If Kristin trains 15 small dogs and 6 big dogs, how much money will she make?

Answers

Answer:

$750

Step-by-step explanation:

We can set up the equation 30x + 50y =  z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.

After plugging in the x and y values to solve for z, we are left with the following equation:

30(15) + 50(6) = 750

Help with the question plz people

Answers

You are cheating. I see this is a test.

What angle is vertical to angle 2?

Answers

Answer:

Answer: a = 140°, b = 40° and c = 140°

Step-by-step explanation:

Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.

A LOT OF POINTS!!
Suppose you borrow $40,000 at 13% APR for a 12-year term to be paid monthly. Your monthly payment is $450.00.

How much of your first payment goes toward interest?

Make sure you show your work to earn full credit.

Answers

Answer:

You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts

Step-by-step explanation:

what is the area of a right triangle with sides 7ft 24ft and 25ft?

Answers

The area of the right triangle is 84

Answer:

84 ft^2

Step-by-step explanation:

[tex] \frac{7 + 24 + 25}{2} = 28[/tex]

The area is:

[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]

[tex] = 84 \: {ft}^{2} [/tex]

What is the theoretical probability that the spinner below will land on 6 if someone spins it 48 times?

Answers

Answer:

1/4 or 12*

Step-by-step explanation:

There are 8 possibilities.  2 of them are 6.

2/8=1/4

1/4 of 48 is 12

*The theoretical probability doesn’t change no matter how many times you spin the spinner.  It will always be 1/4.  (Or 0.25, or 25%). That could be what they’re asking.  If you spun it 48 times, it would probably land on a six 12 times.  That could also be what they’re asking for.  12:48 = 1:4.

Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help? ​

Answers

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

There are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?

Please explain step by step I dont get it.

Answers

Answer:

33 total flowers are in the bouquet Mr Rodriguez bough

Step-by-step explanation:

So for every 4 roses there are 7 carnations meaning the ratio is 4:7

4 times x = 12

x=3

So we do the same for carnations

7 x 3 = 21

Now we add to find the total

21+12=33

33 total flowers

0.4 divided by 29 BRAINLIEST

Answers

the answer for your question is 0.0137

ii need help real quick !!

Answers

Answer:

I'm confused what the question is. I think you might have attached the wrong picture

I really need to go to the store. I bought an 80 ounce container of orange juice. Right now, there's only 4 ounces left. What percent of the orange juice is left? If you're ever at my house, help yourself to the stull in my fridge.​

Answers

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)​

Answers

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

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

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

what is the shape identify in the image

Answers

Answer:

it is a triangular prism

It is a Triangular prism
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