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ehidna [41]
4 years ago
6

The height of the javelin above the ground is symmetric about the line t = seconds. The javelin is 20 feet above the ground for

the first time at t = seconds and again at t = seconds

Mathematics
1 answer:
Levart [38]4 years ago
6 0
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.

 Part 1:

 we must see in the graph the axis of symmetry of the given parabola.
 The axis of symmetry is the following vertical line:
 t = 2

 Answer:
 
The height of the javelin above the ground is symmetric about the line t = 2 seconds:

 Part 2:

 we must see the time t for which the javelin reaches a height of 20 feet for the first time.
 We have that when evaluating t = 1, the function is:
 h (1) = 20.

 To do this, just look at the graph.
 Then, we must observe the moment when it returns to be 20 feet above the ground.
 For this, we have from the graph that:
 h (3) = 20 feet

 Therefore, a height of 20 feet is again reached in 3 seconds.
 Answer:
 
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds

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lianna [129]

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120  

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120  equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 equation 3

54x + 42y = 594 equation 4

 Subtract equation 3 from 4

6y = 54  

Divide both sides of the equation by 6

y = 9

Substitute for y in equation 1

12x + 8(9) = 120

12x + 72 = 120

12x = 48

x = 4

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
3 years ago
Someone please help me I’ve been trying all day!<br><br> NO LINKS , answers only <br> I MEAN IT!!!!
DedPeter [7]

Answer:

Step-by-step explanation:

You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!

3 0
3 years ago
(a) Compute the sums of the squares of Rows 1-4 of Pascal's Triangle. That is, compute:
Elodia [21]
It's impossible to solve all that you give but I think I can help you. There are many different sites which have soft that can solve tasks like this. Just enter what you need in search bar and follow the first link you see.
3 0
3 years ago
Please help!<br> "Congruence and Constructions".
marin [14]

Answer:

MNK = TRP

MN is congruent to TR.

X = 6.3

Step-by-step explanation:

MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.

7 0
3 years ago
How to solve the equation 8b - 12 = 5b
Virty [35]

Answer:

b = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8b - 12 = 5b

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Subtract 5b on both sides:                    3b - 12 = 0
  2. Add 12 on both sides:                            3b = 12
  3. Divide 3 on both sides:                          b = 4

<u>Step 3: Check</u>

<em>Plug in b to verify it's a solution.</em>

  1. Substitute:                  8(4) - 12 = 5(4)
  2. Multiply:                      32 - 12 = 20
  3. Subtract:                     20 = 20

And we have our final answer!

4 0
3 years ago
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