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Serhud [2]
3 years ago
10

Given that a function, g, has a domain of -20 sxs 5 and a range of -5 s g(x) s 45 and that g(0) = -2 and g(-9) = 6, select the s

tatement that could be
true for g.
A g(-4)=-11
B. g(-13) = 20
C. g(7)=-1
D. g(0) = 2
Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

other options lie outside the domain and range

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A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for
aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws?  1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears?  2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0
3 years ago
From an aeroplane vertically above a straight horizontal plane, the angles of depression of two consecutive kilometres stones on
Airida [17]
You have to build the triangles.

They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the  hypotenuse

Then in this triangle: tan(beta) = h / x ......(1)

1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x  and h

Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)

from (1) , x = h / tan(beta)

Substitute this value in (2)

tan(alfa) = h / { [ 1 - h / tan(beta)] } =>

{ [ 1 - h / tan(beta) ] } tan(alfa) = h

[tan(beta) - h] tan(alfa) = h*tan(beta)

tan(beta)tan(alfa) - htan(alfa) = htan(beta)

h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)

h = tan(beta)*tan(alfa) / (t an(alfa)  + tan(beta) )





4 0
3 years ago
2=ln(x+7) solve for x
maria [59]

Answer:

e^2 -7 = x

Step-by-step explanation:

2=ln(x+7)

Raise each side to the base of e

e^2 = e^ln (x+7)

The e^ln cancel

e^2 = x+7

Subtract 7 from each side

e^2 -7 = x +7-7

e^2 -7 = x

8 0
3 years ago
A university's freshman class has 5000 students. 50% of those students are majoring in Computer Science. How many students in th
Mazyrski [523]
2500 students are computer science majors
4 0
3 years ago
What is 1/4 of £42<br><br> and what is 2/5 of £13.50
xxTIMURxx [149]
Divide 42 by 4 for one fourth. Divide 13.5 by 5 and multiply that by 2.
5 0
3 years ago
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