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zlopas [31]
3 years ago
5

Which equation represents a direct linear variation?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

direct linear variation is a straight line in which the y intercept is 0

a- wrong because it is quadratic, not linear.

b- correct, linear with a y intercept of 0

c- wrong because its exponential

d- wrong, its linear but the y intercept is 3, not 0

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A motorboat takes 5 hours to travel 100 miles going upstream. The return trip takes 2 hours going downstream. What is the rate o
nata0808 [166]

Answer:

the boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

solve for "c", to see what's the current's speed

what's "b"?  well 20+c = b

3 0
3 years ago
Find g(4f(2)) where f(x)=1/2+x and g(x)=x(x+1)^3
Ne4ueva [31]
4f(2)=4×5/2=10
g(10)=10×(10+1)²=1210
so the answer is d.

your description is different from the picture. what i answered was the question in the picture.
6 0
3 years ago
What is the image point of (5,1) after a translation right 5 units and down 2 units?
kobusy [5.1K]

Answer:

(10,-1)

Step-by-step explanation:

If it shifts right, that means that the x is increasing

5+5 = 10

if it shifts down, that means the y is decreasing

1-2=-1

x= 10 y=-1

(10,-1)

5 0
3 years ago
If the bill is $47.96 and you leave a 15% tip, what is the tip amount?​
Gennadij [26K]

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

7 0
3 years ago
Read 2 more answers
Consider the functions...
Makovka662 [10]

g(x) =  \sqrt{x - 5}  + 2 \\ g(5) =  \sqrt{5 - 5}  + 2 = 0 + 2 \\ g(5) = 2

I hope I helped you^_^

5 0
3 years ago
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