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MrRa [10]
2 years ago
14

What is the y-intercept of the graph of y = 4^x-2?

Mathematics
2 answers:
raketka [301]2 years ago
6 0

y =  {4}^{x}  - 2 \\ for \: y \: intercept \: x \: s \\ is \: 0 \\ y =  {4}^{0} - 2 \\ y = 1 - 2 \\ y =  - 1 \\

Y intercept : (0,-1)

Hope it helps

please give brainliest

mixas84 [53]2 years ago
5 0

Answer: Hope this helps you.

-2

Step-by-step explanation:

y = mx+b (B is y-int)

y = 4^x-2

-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2

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EXPRESS in power notation
lora16 [44]

Answer:

Solution given:

1:

-1/8=\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}

2. -64/27

=\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=<u>5/25</u>

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

7 0
2 years ago
What equation best models this data?(use y to represent the population of rabbits and t to represent the year, assuming that 201
liraira [26]

If we see the data closely, a pattern emerges. The pattern is that the ratio of the population of every consecutive year to the present year is 1.6

Let us check it using a couple of examples.

The rabbit population in the year 2010 is 50. The population increases to 80 the next year (2011). Now, \frac{80}{50}=1.6

Likewise, the rabbit population in the year 2011 is 80. The population increases to 128 the next year (2012). Again, \frac{128}{80}=1.6

We can verify the same ratio with all the data provided.

Thus, we know that the population in any given year is 1.6 times the population of the previous year. This is a classic case of a compounding problem. We know that the formula for compounding is as:

F=P\times r^n

Where F is the future value of the rabbit population in any given year

P is the rabbit population in the year "0" (that is the starting year 2010) and that is 50 in this question. (please note that there is just one starting year).

r is the ratio multiple with which the rabbit population increases each consecutive year.

n is the nth year from the start.

Let us take an example for the better understanding of the working of this formula.

Let us take the year 2014. This is the 4th year

So, the rabbit population in 2014 should be:

F_{2014} =50\times(1.6)^4\approx328

This is exactly what we get from the table too.

Thus, F=P\times r^n aptly represents the formula that dictates the rabbit population in the present question.

4 0
3 years ago
I will give Brainiest if you are right
STALIN [3.7K]

Answer:

D. $69,160

Step-by-step explanation:

40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160

4 0
3 years ago
A=1/2w(b+c) solve for c
kaheart [24]

9514 1404 393

Answer:

  c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

  A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}

3 0
3 years ago
How do you convert 4/25 into a percent
Alex777 [14]
You see how many times 4 can go into 25 witch is 6 not 7 because 7 x 4 is28 and 28is bigger than25 so the answer is and 1/4 is25 cence so the answer is 4.25
7 0
3 years ago
Read 2 more answers
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