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Licemer1 [7]
3 years ago
9

What is the inequality that represents the range of the function g(x)=-3/4x^2 when the domain is restricted to -4

Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

D

Step-by-step explanation:

to show the general direction of the graph, we should find the end points and one in the middle, lets see what happens why x is -4, 0, and 4. when x=-4, it is 16*-3/4 (which is negetive), when x is 0, y is 0, and when x is 4, the same this happens in the first number. If these points are plotted, it is shown as a parabola pointing downwards. The max is will be is 0. because before 0, the numbers are negetive in the y axis, and after they are negetive in the y axis, and it tops out at y=0 when x=0. Therefore Y is smaller than or equal to 0, or D.

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Luda [366]
The equation would be:
2+x=y
4 0
3 years ago
The 1st,12th and the last term of an AP are 4,31.5 and 376.5 respectively. Determine the number of terms in series
Nutka1998 [239]

Answer: 150

Step-by-step explanation:

To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d

From the question,

First term = a = 4

12th term = 31.5

We need to get the common difference which will be:

Since 12th term = 31.5

a + (n - 1)d = 31.5

a + (12 - 1)d = 31.5

a + 11d = 31.5

Recall that a = 4

4 + 11d = 31.5.

11d = 31.5 - 4

11d = 27.5

d = 27.5 / 11

d = 2.5

Since last term is 376.5, the number of terms in it will be calculated as:

a + (n - 1)d = 376.5

4 + (n - 1)2.5 = 376.5

4 + 2.5n - 2.5 = 376.5

2.5n = 376.5 - 4 + 2.5

2.5n = 375

n = 375 / 2.5

n = 150

The number of terms in the series is 150.

3 0
3 years ago
Hcf of 84 and 49 I'm so lazy
White raven [17]

Answer:

<h2>7</h2>

HCF of 49 and 84 is 7.

Step-by-step explanation:

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3 0
3 years ago
A Clydesdale horse weighs as much as a Shetland pony and a American Saddlebred horse combined. How much does a clydesdale horse
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3 years ago
The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is c
jonny [76]

Answer:

P = 101.5 e^{-0.00015h}

Step-by-step explanation:

dP/dh = kP

dP/P = k dh

ln P = kh + C

Now, using the points given,

ln 101.5 = C, so C = 4.62

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So, we have

ln P = -0.00015 h + ln 101.5

P = 101.5 e^(-0.00015h)

3 0
3 years ago
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