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gizmo_the_mogwai [7]
3 years ago
8

Help! Using complete sentences, explain how to find the maximum value for each function and determine which function has the lar

gest maximum y-value. F(x)=-4(x-6)^2+3.

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

Final answer is that function g(x) has the largest maximum value, which is 6.

Step-by-step explanation:

Given function is F(x)=-4(x-6)^2+3.

Now we need to find about what is the maximum value of the given function F(x)=-4(x-6)^2+3 and explain the method about how did you find the maximum value.

Given function F(x)=-4(x-6)^2+3 looks similar to the quadratic function of the form f(x)=a(x-h)^2+k.

Comparing both we get: h=6, k=3

We know that maximum value occurs at the vertex where maximum value is given by "k"

Hence maximum value of the given function F(x)=-4(x-6)^2+3 is = 3

From graph we can clearly see that function g(x) has maximum height at 6.

So the final answer is that function g(x) has the largest maximum value, which is 6.

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Two lengths are in ratio 7:8.if the first length is 273. What amount is the second length
Sergio [31]

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

PLS MARK BRANILIEST!!!

3 0
2 years ago
Evaluate (c − b)2 + a2 for a = –5, b = –2, and c = –4.
taurus [48]

(c - b)² + a²


a = -5

b = -2

c = -4


(-4 - (-2))² + (-5)²

(-4 + 2)² + (-5)²

(-2)² + (-5)²

4 + 25

29

3 0
3 years ago
Find the perimeter of the triangle .
lawyer [7]

Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

5 0
2 years ago
Mike is going to put his $97 in a savings account. This account earns 4% simple interest. Find the INTEREST EARNED after 5 years
Mars2501 [29]

$19.4

Step-by-step explanation:

Simple Interest=SI

Principle(deposit)=P(97)

Rate= R(4/100=0.04)

Time= T(5)

SI=P•R•T

SI=97x0.04x5

SI=19.4

Interest earned = $19.4

5 0
2 years ago
Please help me !!!!!! I need help
kvv77 [185]

Answer:

  y +8 = -4(x -8)

Step-by-step explanation:

You recognize that the given equation is in slope-intercept form:

  y = mx + b

with m = 1/4 and b = 5.

A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...

  -1/m = -1/(1/4) = -4

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . for slope m through point (h, k)

Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...

  y +8 = -4(x -8)

3 0
2 years ago
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