Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?

Answers

Answer 1

Answer:

after 2 secs

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds


Related Questions

Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much each customer paid.
After the previous four customers, another customer, Timothy, spent $28.00 buying apples.
We can determine that Timothy bought ------------
of apples.
A: 11
B: 12
C: 14
D: 16

Answers

Answer is C: 14

Explanation:
On the image added, the pounds of apples is half the cost. So if you would keep that same relationship and add $28.00 to one of the costs the outcome would be 14

HELP PLS!!
Provide the length of x

Answers

Answer:

10

Step-by-step explanation:

the mid-segment, 5, is parallel to the base of the triangle and the side that the mid-segment is parallel to is always double the length of the mid-segment, so the base of the base is 10. this triangle is an equilateral triangle so the side, x, is also 10.

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D

factor completely, I NEED HELP


4x^3 + 7x^2 +4x + 7

Answers

(4x+7) (x^2+1) is it factored

The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )

Answers

20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction

If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.

Answers

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46

Ehehejejrjrjejejrjrjtjtjrjrje

Answers

Answer:

?

Step-by-step explanation:

shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3

Which equation has a slope of 2 and y-intercept of -3

Answers

y = 2x -3

fhfjdydtsfxbnpurwsgh

3. Tarzan went to the plant nursery and bought a tree that was initially 90 feet tall for his monkey friends to climb on.
After planting the tree, Tarzan made a table to record the height, h, of the tree, t years after it was planted. “Zero” is the time when he planted the tree.
t 0 1 2 3 4
h 90 105 120 135 150


(a) Use words to describe the relationship between the height of the tree and the number of years since it was planted.


(b) Write a two-variable equation to illustrate the relationship between the height of the tree and the number of years since it has been planted.

Answers

Answer:

ok im convuzed how do you buy a 90ft tree cuz that sounds fun

Step-by-step explanation:

pls lemme know

F(6) if f(x) = 4x
a 10
b. 24
c. 20
d: 30

Answers

Answer:

b. 24

Step-by-step explanation:

Hope this is right!

For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?



What is the sum of the complex numbers? Show all work.



What is the sum of the conjugates of the complex numbers? Show all work.

Answers

Conjugate is just changing the sign on the imaginary number, so the conjugates here are 3+6i and 9-i

The sum of the original complex numbers is (3-6i)+(9+i)=12-5i

The sum of the conjugates is (3+6i)+(9-i)=12+5i

Which inequalities have no solution? Check all of the boxes that apply.
-3x <-3x
-4 + x>-2 + x
O X-2

Answers

Answer:

-3x<-3x and -4+x>-2+x are both false

Step-by-step explanation:

1) -3x = -3x; they are the same amount.

2) -4 + x > -2 + x

          -x          -x

    ----------------------

           -4 > -2

-4 > -2 is false because -2 > -4.

Ryan's dog weighs 50 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight? A. 50 × p B. 50 + p C. 50 ÷ p D. 50 - p

Answers

Answer:

B, 50 + p.

Step-by-step explanation:

To combine their weight, you would add them together. B is the only answer that uses addition.

5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST

Answers

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

System of Linear Equations entered :

[1] 5x + 10y = 5
[2] -13x + 4y=17


Solve by Substitution :

// Solve equation [2] for the variable y


[2] 4y = 13x + 17

[2] y = 13x/4 + 17/4
// Plug this in for variable y in equation [1]

[1] 5x + 10•(13x/4+17/4) = 5
[1] 75x/2 = -75/2
[1] 75x = -75
// Solve equation [1] for the variable x


[1] 75x = - 75

[1] x = - 1
// By now we know this much :

x = -1
y = 13x/4+17/4
// Use the x value to solve for y

y = (13/4)(-1)+17/4 = 1
Solution :
{x,y} = {-1,1}

A bowling alley charges a one-time fee of $5.50 to rent shoes and $3.50 per game. Write an equation that represents "y", the total dollar amount that you must pay to bowl "x" games.
Please help this is due today, I would appreciate it if you did help!

Answers

Answer: 14$

Step-by-step explanation:

let x = number of games, let y = cost of shoe rental

then        Total cost = x•$4 + y

In this case, TC = 3•$4 + $2

TC = $14

please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.

Answers

0.4286 is not rounded to hundredth rounded is 0.44

I think the answer is 0.43

Evaluate the expression for j = 0 and k = 11.
jk =

Answers

Jk=just kidding okay

Please answer A and B!!!

Answers

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

monkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonke

Answers

Answer:

monke

Step-by-step explanation:

delicious

What is the range of h

Answers

Answer:

The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x)

Step-by-step explanation:

GOOD LUCK

if x =20 and y =40 then x and y are

Answers

Answer:

Are directly proportional

If the measures of 2 angles of a triangle are 35 degree and 80 degree then find the measure of its third angle
Plz help I am marking branliest and I can follow you if you give correct answer :D

Answers

Step-by-step explanation:

the 3rd angle = 180 - ( 35+80 ) = 65

Answer:

65

Step-by-step explanation:

let the third angle be y

y+35+80=180

y+115=180

y=180-115

y=65

Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole number.
cubic feet

Answers

Answer: 1593 us gallons

Step-by-step explanation: HOPE THIS HELPS!!

14. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(B|A) =
a. 0.80. b. 0.50. c. 0.10 d. 0.40. e. none of the above.
15. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) =
a. 0.7. %3D %3D b. 0.9 c. 1.1. d. 0.2. e. none of the above.

Answers

Answer:

14) b)  P(B/A) = 0.50

15) P(A or B) = 0.7

Step-by-step explanation:

14)

Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2

Conditional probability of B given that A

[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]

15)

By using Addition theorem on probability

P( A ∪ B) = P(A) + P(B) - P(A∩B)

               = 0.4 +0.5 - 0.2

P( A ∪ B) =0.7

WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.

Use this understanding to complete each of the equations below.
CLEAR CHECK

Answers

Answer:

-5 - (-7) = -5 + -7

= 2

-5 - 7 = -5 + -7

= -12

help plz very very confused

Answers

Answer:

x=-2

Step-by-step explanation:

What is the slope and y intercept of this diagram

Answers

The Answer is 1/5 and 5

slope: 1/5 y-intercept: 5

rewrite using a single positive exponent 5^6/5^4

Answers

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x

Answers

Answer:

x is equal to both 3 and 6.

Step-by-step explanation:

[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]

So x values of 3 and 6 will make this statement true.

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