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____ [38]
2 years ago
14

What is the value of the y-intercept of the graph of h(x) = 1.2(4.15)^x?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
7 0

9514 1404 393

Answer:

  h(0) = 1.2

Step-by-step explanation:

The y-intercept is h(0). When x=0, the exponential term evaluates to 1, so the y-intercept is the multiplier of the exponential term.

  h(0) = 1.2 . . . the y-intercept

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Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
4 years ago
The next model of a sports car will cost 4.7% more than the current model. The current model costs $48,000. How much will the pr
Mashcka [7]

Answer:

increase - $2256

price - $50256

Step-by-step explanation:

multiply the percent (in decimal form) by the original cost

48000(0.47)=2256

the increase is $2256

to find the price of it, add the two prices together.

48000+2256=50256

7 0
3 years ago
Read 2 more answers
Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?
Serga [27]

Answer:

√y-6

Step-by-step explanation:

36/6=6

36 is the dividend, 6 is the divisor and 6 is the quotient.

3 0
3 years ago
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Find the unit rate for each, then compare. Which is faster?
son4ous [18]

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

4 0
3 years ago
Harlan played her favorite game app three times this morning in each game the number of points she scored was a prime number whe
zavuch27 [327]
Can't help if I don't know what the question is
3 0
3 years ago
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