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aev [14]
3 years ago
13

Fine the y-intercept of the line on the graph.​

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
Where is the picture of the graph?
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f(x) = −16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) Part B: Is the vertex
DerKrebs [107]

Answer:

see below

Step-by-step explanation:

f(x) = −16x^2 + 24x + 16

Set equal to zero to find the x intercepts

0  = −16x^2 + 24x + 16

Factor out -8

0 = -8(2x^2 -3x-2)

Factor

0 = -8(2x +1) (x-2)

Using the zero product property

2x+1 =0    x-2 =0

x = -1/2      x=2

The x intercepts are -1/2   ,2

Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum

The x value of the maximum is 1/2 way between the zeros

(-1/2+2) /2 = 1.5/2 =.75

To find the y value substitute into the function

f(.75) = -8(2x +1) (x-2)

        =-8(2*.75+1) (.75-2)

        = -8(2.5)(-1.25)

         =25

The vertex is at (.75, 25)

We have the zeros, and  the vertex.  We know the graph is symmetrical about the vertex

3 0
3 years ago
Please help me !!!!!
kupik [55]

Whenever you want to write the equation of a parallel line through some point (h, k), you can ...

  • remove any added constant in the original given equation
  • replace x with (x-h)
  • replace y with (y-k)
  • rearrange the resulting equation to the form required by the problem.

Using this formula here, we get

... 2(y +5) = 3(x -2)

Your answer form requires you solve this for y.

... 2y + 10 = 3x -6 . . . . . eliminate parentheses

... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)

... y = (3/2)x -8 . . . . . . divide by 2


6 0
3 years ago
..The total of Joshua's savings and $350 is $925.<br><br><br> Please help
Vlad [161]

Answer:

Joshua's Savings = $575

Step-by-step explanation:

If the total amount is $925 and you added $350 to x (Josh's Savings) than all we have to do is subtract the $350 from the $920 to solve for x,...

$925 - $350 = $575

Joshua's Savings is equal to $575 dollars,...

Hope that helps,... Chow,...!

5 0
2 years ago
Read 2 more answers
(b) Out of 200 students in an examination of class IX, 140 passed in Maths, 120 passed in Scien
iren [92.7K]

Answer:

n(U)=200

n(M)=140

n(S)=120

n(MuS)complement=40

n(MuS)=n(U)-n(MuS)complement

=200-40

=160

n(MnS)=n(M)+n(S)-n(MuS)

=140+120-160

=260-160

=100

3 0
3 years ago
Read 2 more answers
51/8 times 17/4and simplified
gayaneshka [121]

Answer:

27 3/32

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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