Anastasia hits her golf ball off the tee. The height of the golf ball is modeled by the function f(x) =-5x^2+25x+1, where x is the number of seconds after the golf ball is hit. How long is the golf ball in the air? ​

intersection is the answer

Answer:

Step-by-step explanation:

A. S=strawberry, C=chocolate

    S+C=14 equation 1

     2s+3c=30 equation 2

B. -2(s+c)=-2(14) multiply equation 1 by -2 to use elimination method  

   -2s+-2c=-28 modified Equation 1

    2s+ 3c=30. Equation 2

          C=2 add above two equations.

solve for s

s+c=14

s+2=14

s=12

Used elimination method since it was easier to add the two equations.

check answer by inputting s,c values in either equation.

2s+3c=30

2(12)+3(2)=30

24+6=30

30=30

9514 1404 393

Answer:

Step-by-step explanation:

Part A:

I like to use variable names that remind me what they stand for. Here, we can use s and c for the numbers of strawberry and chocolate packets, respectively. The two equations we can write based on the problem statement are ...

  2s + 3c = 30 . . . . . . . the total cost of the purchase

  s + c = 14 . . . . . . . . . . the number of items purchased

__

Part B:

Ordinarily, I would use one equation for the problem. That equation can be arrived at by substituting for s using the second equation. We choose to substitute for s so the only remaining variable is the one representing the highest-value contributor to the total cost.

  s = 14 -c

  2(14 -c) +3c = 30 . . . . substitute for s

  28 +c = 30 . . . . . . . . . simplify (notice the coefficient of c is positive)

  c = 2 . . . . . . . . . . . subtract 28

  s = 14 -2 = 12 . . . . find s using the above equation

They bought 2 packets of chocolate and 12 packets of strawberry wafers.

__

Explanation of choices

When the total purchase is n items and x of them are of one kind, then n-x is the number of the other kind. You don't need to write a second equation to figure that out. Hence the problem can be described by a single equation, such as the one highlighted above. Doing this lets you skip a variable definition and a couple of solution steps you don't really need.

The choice of variable as being the high-cost item ensures that its coefficient in the equation will be positive. Fewer errors are made when arithmetic is done with positive numbers. Again, recognizing that early on saves headaches down the line.

Getting to a generic solution

Note that the number we subtract (28) is the "would be" cost of all of the items purchased being the lowest-cost item (14 strawberry packets). This recognition can let you do the entire problem in your head. The difference between the actual cost and the "would be" cost is the result of replacing some number of the lowest-cost items with the higher-cost ones. The difference between total costs is divided by the difference in cost per item to find the number of the higher-cost item. That is the answer to all problems of this type. (30 -14(2))/(3-2) = 2 = the number of $3 packets.

Answer:

6x - y + 17=0

Step-by-step explanation:

Given :-

And we need to find out the equation of the line. Using the point slope form. The point slope form of the line is ,

[tex]:\implies[/tex] m ( x - x1) = ( y - y1)

[tex]:\implies[/tex] 6( x -(-2)) = ( y -5)

[tex]:\implies[/tex] 6( x +2) = y -5

[tex]:\implies[/tex] 6x +12= y -5

[tex]:\implies[/tex] 6x - y +17=0

Answer:

circumference of a circle :

                      [tex]2\pi r\\[/tex] = 2 π x 6 = 12π inches

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]6(2)x + (2)y = 12(2) \\ + \\ - 4x - 2y = 0 \\ = \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]

Answer:

Volume of trunk = 4,14,720 inches³

Step-by-step explanation:

Find:

Length of trunk = 48 inches

Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet

Height of trunk = 32 inches

Find:

Volume of trunk

Computation:

1 feet = 12 inch

Width of trunk = 22.5 feet

Width of trunk = 22.5 x 12

Width of trunk = 270 inches

Volume of trunk = Length x Width x Height

Volume of trunk = 48 x 270 x 32

Volume of trunk = 4,14,720 inches³

Answer:

22

Step-by-step explanation:

Answer:

JK = 8

Step-by-step explanation:

As JK + KL = JL.

2x + 8 = 4x

–2x –2x

8 = 2x

÷2 ÷2

4 = x.

x = 4.

JK = 2x.

x = 4 → JK = 2x → JK = 2(4) → JK = 8.

Answer:

193 i think

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answer:

[tex]y =|x| - 4[/tex] is translated 3 units up

Step-by-step explanation:

Given

[tex]y =|x| - 4[/tex]

Required

The changes that makes it to: [tex]y =|x| - 1[/tex]

By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]

Next, is to calculate the units of translation (c)

Represent the old function as:

[tex]y=\left|x\right|-4 + c[/tex]

Equate y and y

[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]

Cancel out |x|

[tex]-4 + c=-1[/tex]

Solve for c

[tex]c = 4 - 1[/tex]

[tex]c = 3[/tex]

Answer:

angle 1 is 99

angle 2 is 81

Step-by-step explanation:

3x+x+48=180

4x+48=180

4x=132

x=33

Answer:

32 pieces

Step-by-step explanation:

basically its 8 x 4

8x4=32

you get 8 because it says they are cut into eighths and the 4 because of four pies

Answer:

[tex] - 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\ = - 21 - 24 + 21 + 24 \\ = 0[/tex]

Answer:

D. x ≈ 2.60

Step-by-step explanation:

After graphing both of these equations separately, we can see that they meet at a point of x = 2.59, therefore the answer to this question would be D. Both values also seem to meet at an x value of -0.548 but it is not an option in this question, probably because the y output value is close not the same for both equations. The graphs can be seen in the attached picture below.

Answer:

D. x ≈ 2.60

Step-by-step explanation:

Plato

Answer:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

Step-by-step explanation:

The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In [tex]f(x)=\left(\frac{1}{3}\right)^x+2[/tex], as [tex]x[/tex] gets approaches [tex]-\infty[/tex], the function will approach [tex]y=\infty[/tex]. As [tex]x[/tex] approaches [tex]\infty[/tex], the function will approach [tex]y=2[/tex].

We can write this in the following format to denote these end behaviors:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

Answer:

A die usually has 6 sides.

Answer - B (1/2)

Answer:

No

Step-by-step explanation:

here's a little trick, add a zero to make both numbers the same.

it's doesn't change the value.

so .27 and .3 become .27 and .30

and .30 is greater

Answer:

its 420

Step-by-step explanation:

420+69+69=420

Answer:

hnjajka

Step-by-step explanation:

wlbhnaewbbu

Answer: If I am correcto, it's 638.625.

Sorry if the question may be Wrong, but, I am almost certain this is correct, from a Scientific point of Math.

Answer:

asdfasdfasdfasdf

Step-by-step explanation:

Step-by-step explanation:

⁦ᕙ(⇀‸↼‶)ᕗ⁩⁦ᕦ(ಠ_ಠ)ᕤ⁩⁦୧( ಠ Д ಠ )୨⁩

Answer:

B

Step-by-step explanation:

90-60 is 30 and it goes backwards so it is -30

Answer:

Mai

Step-by-step explanation:

1. 21.675 R $22

2. $21

Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.

Go check out Quelenasboutique on Etsy

Answer:

R=9.5

Step-by-step explanation:

If anyone could pls do this for me  

https://brainly.com/question/23716720

Answer:

Radius(r) = 9.5 cm

Happy learning!

Applepi101

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

Answer:

The probability of Karmen picking a car with a black exterior and a beige interior is

1/6. The probability of Karmen picking a car with a beige interior and an automatic transmission is

1/4.

Step-by-step explanation:

The number of possible outcomes from the tree diagram is 12.

Two of the possible outcomes are a car with a black exterior and a beige interior. The probability of Karmen picking a car with a black exterior and a beige interior is , or .

Three of the possible outcomes are a car with a beige interior and an automatic transmission. So, the probability of Karmen picking a car with a beige interior and an automatic transmission is , or .

Answer:

1/6 and 1/4

Step-by-step explanation:

Just did this.