Explain please :)

A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?

Answers

Answer 1

Answer:

3.49 ft

Step-by-step explanation:

y = 0.125x

y = –16x^2 + 56x

Set the equations equal since the height of the hill

and the height of the ball must be the same

–16x^2 + 56x = 0.125x

Subtract 0.125x from both sides

–16x^2 + 55.875x = 0

Factor out x

x(–16x + 55.875) = 0

From the zero product rule

x = 0

and

–16x + 55.875 = 0

–16x = –55.875

Divide both sides by –16

x = 3.4921875

Diiference in height

3.4921875 - 0 = 3.4921875

3.49 ft


Related Questions

what is the value of 69 - -26

Answers

Answer:

98

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95

the total whole numbers less than 1539 divisible by 12​

Answers

Answer:

the ancwer is 1536

Step-by-step explanation:

i used a coculater

Arranging the real number in ascending order -8,2,0,9,-10

Answers

Hello,

- 10, - 8, 0, 2, 9

The ascending order is always : negative numbers, zero, positive numbers

Answer:

-10, -8, 0, 2, 9

Original price of shorts $53.95 Discount 30% Tax:4.5%

Answers

Answer:157.35

Step-by-step explanation: multiply then add the tax

10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either

Answers

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.


What is the equation?

Answers

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000

Answers

Answer:

the correct answer is $74,560 but since that's not declared go with 73300

group the first two terms by underline the first two terms 16x^3-4x^2-4x+1

Answers

Answer:

Terms are the things that are separated by a (+) or a (-).

Step-by-step explanation:

16x^3 - 4x^2 -4x+1

I don't think I'm right...

3. Rewrite the statement, "A dog is a puppy if and only if it is young," as a conditional and its converse.
O A. Conditional: A dog is a puppy. Converse: A dog is young.
O B. Conditional: A puppy is a dog. Converse: A puppy is young.
OC. Conditional: If a puppy is young, then it is a dog. Converse: If a puppy is a dog, then it is young.
O D. Conditional: If a dog is young, then it is a puppy. Converse: If a dog is a puppy, then it is young.

Answers

Answer:

I think the answer would be A

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

The perimeter of a triangle is 71 cm. If the longest side of the triangle is 8 cm longer than five times the shortest side and the third side is 7 cm less than four times the shortest side. How long is the longest side of the triangle?

Answers

Answer:

43 cm

Step-by-step explanation:

If the longest side of the triangle is 8 cm longer than five times the shortest side

5s + 8

the third side is 7 cm less than four times the shortest side

4s - 7

The perimeter of a triangle is 71 cm

s + (4s - 7) + (5s + 8) = 71

Combine like terms

10s + 1 = 71

Subtract 1 from both sides

10s = 70

divide both sides by 10

s = 7

---------------------------------

How long is the longest side of the triangle

5s + 8

5(7) + 8

35 + 8

43

Part A: Solve −mk − 90 > 85 for m. Show your work. (4 points) Part B: Solve 3c − 5f = 55 for f. Show your work. (6 points) (10 points)

Answers

Answer:

m < -175/k

f = -11 + [tex]\frac{3}{5}[/tex]c

Step-by-step explanation:

Part A:

-mk - 90 > 85

add 90 to each side to get:

-mk > 175

divide each side by -k to get:

m < -175/k

(inequality symbol switched because we divided by a negative)

Part B:

3c - 5f = 55

subtract 3c from each side to get:

-5f = 55 - 3c

divide each side by -5 to get:

f = -(55 - 3c) / 5  or -11 + [tex]\frac{3}{5}[/tex]c

Solve for x and thank you

Answers

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

Is it possible for a fifth degree polynomial function with
integer coefficients to have no real zeroes?

Answers

if a polynomial function is given with degree and and and is even then it is possible toe have all complex zeros as complex zeros come in pairs in conjugated pairs, so we would always have two times the number of pairs given us and even degree.

if someone helps me with dis ill give u brainliest​

Answers

Answer:

(25, 30) = 150 ,300 450

(15, 24) = 120 225 300

Step-by-step explanation:

Prime Factorization of 15 is:

3 x 5 => 3^1 x 5^1

Prime Factorization of 24 is:

2 x 2 x 2 x 3 => 2^3 x 3^1

Prime Factorization of 25 is:

5 x 5 => 5^2

Prime Factorization of 30 is:

2 x 3 x 5 => 2^1 x 3^1 x 5^1

Simplify this equation

Answers

Answer:

I think the answer might be 12x⁷

BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

trail mix costs 1.00 per pound

jelly beans costs 3.50 per pound

Step-by-step explanation:

t = cost of trail mix

b = cost of jelly beans

3t+8b = 31

5t+2b = 12

Multiply the second equation by -4

-4(5t+2b = 12)

-20t+-8b = -48

Add this to the first equation

3t+8b = 31

-20t+-8b = -48

-------------------------

-17t = -17

Divide by -17

t = 1

Now we can find b

3t+8b = 21

3(1) +8b = 31

3+8b =31

Subtract 3

8b = 31-3

8b = 28

Divide by 8

b = 28/8

b = 7/3

b = 3.50

Let trail mix be x and jelly beans be y

The equations are

3x+8y=31-(1)5x+2y=12-(2)

Multiplying (1) by 1 and (2) by 4

3x+8y=31---(3)20x+8y=48--(4)

Subtracting

[tex]\\ \sf\longmapsto -17x=-17[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]

[tex]\\ \sf\longmapsto 2y=7[/tex]

[tex]\\ \sf\longmapsto y=7/2[/tex]

Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.




-17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

what is the measure of angle x

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

Let E be the region bounded cone z = â 6 â ( x 2 + y 2 ) and the sphere z = x 2 + y 2 + z 2 . Provide an answer accurate to at least 4 significant digits. Find the volume of E.

Answers

Answer:

       

Step-by-step explanation:

Solve
-16+ 20

A. -36

B.-4

C. 4

D. 36

Answers

Answer:

C: 4

Step-by-step explanation:

We can rearrange the numbers:

[tex]-16+20=+20-16=20-16=4[/tex]

Answer:

C. 4

Step-by-step explanation:

-16+20 equals 4 becase:

-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!

Thank You! Please Mark Me Brainliest!

Find the slope of the line that goes through the points (4,-3) and (5,0)

Answers

Answer:

the slope of the points (4,-3) and (5,0) is 3

Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!

Answer:

[tex]\boxed {\boxed {\sf m=3}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line that passes through (4, -3) and (5,0).

The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.

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

In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:

x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0

Substitute the values into the formula.

[tex]m= \frac{0 - -3}{5-4}[/tex]

Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.

0--3 = 0+3=3

[tex]m= \frac{3}{5-4}[/tex]

Solve the denominator.

5-4 =1  

[tex]m= \frac{3}{1}[/tex]

Divide.

[tex]m=3[/tex]

The slope of the line is 3.

What does y= when x = -1?

Answers

I think Y would equal 0

Solve for r.
4r–3r=20
r=

Answers

Answer:

20

Step-by-step explanation:

4r - 3r = 20

r = 20

There you go.

Answer:

r = 20

Step-by-step explanation:

Let's solve your equation step-by-step.

4r − 3r = 20

Step 1: Simplify both sides of the equation.

4r − 3r =20

4r + −3r =20

(4r + −3r) =20 (Combine Like Terms)

r = 20

Hope this helps


If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?

l

Answers

See answer attached in photo. I drew it out

7 inches 6 inches and 6 inches make a triangle?

Answers

Answer:

^

Step-by-step explanation:

The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.

How do you write 8 whole and 1/2 + whole 7 2/3 as a mixed number

Answers

The answer is 16 1/6

Step-by-step explanation:

1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6

2. add them all together 8+7=15, 4/6+3/6=7/6

3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6

Answer: 16 1/6

To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?

You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.

First mixed number is 8 1/2.

So, you'll multiply 8 by 2 then add 1.

(8 × 2) + 1 = 17

Next is 7 2/3.

Repeat this process.

(7 × 3) + 2 = 23

When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:

8 1/2 = 17/2 × 3/3

7 2/3 = 23/3 × 2/2

Multiply the LCD, which is 2 and 3 and you'll get:

LCD of 8 1/2 ⇒ 51/6

LCD of 7 2/3 ⇒ 46/6

Now we can add. (You DO NOT add the denominator).

51/6 + 46/6 = 97/6

Since 97/6 is an improper fraction, we must convert it into a whole number.

Divide 97/6 and you'll get 16 with a reminder of 1.

16 is the whole number.

1 is the numerator.

Hence, the answer is 16 1/6.

The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =​

Answers

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)

Answers

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]

Who ever sole this problem, with step by step soloution I will mark Brainliest (No Rubbish Please, I will report)

Answers

She could use the 500ml container four times

Or she could do
750ml + 500 ml = 1250
1250 + 250ml = 1500ml
And now she can add 750ml
And add another 250 ml
It will be 2500

Step-by-step explanation:

There are a couple of ways you could do this

10, 250ml (10*250=2500)

5, 500ml (5*500=2500)

3, 750ml + 250ml (3*750=2250.... 2250+250=2500)

There are many ways you could approach this. Hope these examples help

Other Questions
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number How does the author use race to develop the theme of the passage?A.The race illustrates how competition can be an effective motivator.B.The race highlights the importance of gracefully accepting defeat.C.The race reveals why feeling energized can be a fleeting emotion.D.The race presents a situation where cultural misunderstandings create conflict. If the side of a square is increased by 25%, then by how much is its area increased? A gas held in a balloon at 5L has its temperature doubled. What will the new volume of the balloon be? Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1 If and cx = 5 units, what is dz? 2 units 3 units 4 units 5 units. Skajekjejejwjejekwjkekekekejeje Determine the unbalanced force necessary to accelerate a 2.60 kg object at a rate of 14.0 m/s. Which paraphrased statement from Federalist No. 47 expresses an opinion?A.Maryland's constitution clearly states the principle that the three branches must always be separate.A.Maryland's constitution clearly states the principle that the three branches must always be separate.B.It is appropriate to examine why the protection of freedom requires that the three branches be separate and distinct.B.It is appropriate to examine why the protection of freedom requires that the three branches be separate and distinct.C.A brief look at the British Constitution shows that the three branches of the British government are certainly not entirely separate.C.A brief look at the British Constitution shows that the three branches of the British government are certainly not entirely separate.D.Looking at the state constitutions, we find that there is not one example where the three branches are totally separate and distinct.D.Looking at the state constitutions, we find that there is not one example where the three branches are totally separate and distinct. what is the quotient of 3/4 and 5/8 solve pls brainliest using oliver's table, how can you find the unit rate In what part of elwood's body did he experience severe twinges of pain once he reached adulthood Explain how potential and kinetic energy are at play when we talk about Newtons second law of motion? answer all please thx. how long does it take to die from a rattlesnake bite describe four areas of physical needs in a mothers postnatal care Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay? A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One day, the equipment elevator begins to descend. After seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that time, which elevator is deeper?The position of the equipment elevator relative to the surface is (blank) feet Which graph represents a proportional relationship?