All categories

3 years ago

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

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

6 0

Answer: 2

Step-by-step explanation:

To get the y-intercept, we put x= 0

and then solve for y in the equation given

y = 2(4^x)

putting x =0

y = 2(4^0)

according to the rule of indices,any variable raise to the power of zero is 1

so 4^0 = 1

y=2(1)

y =2

Therefore y- intercept is 2

bonufazy [111]3 years ago

5 0

Let x=0,
y=2(4^0)
y=2
Hence,y int is 2.

You might be interested in

Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4

Mariana [72]

Answer:

The forth one:No,the addition symbol was dropped in the second expression

Step-by-step explanation:

I took the quiz and got it right

8 0

2 years ago

Read 2 more answers

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac

Brums [2.3K]

Answer: The population will be 408,000 people.

Step-by-step explanation:

So in 2000 there were 200,000 people and it started to grow 8% every year so up to 2013.

so find 8% of 200,000 and then multiply it by the the number of years.

8% * 200,000 = 16,000

Find the difference between the years.

2013 - 2000 = 13 years

13 * 16000 = 208000 This is the amount of new people from 2000 to 2013 so add it to the original population.

208,000 + 200,000 = 408,000

5 0

3 years ago

Find the values for c and d

baherus [9]

Answer:

c=-5

d=1

Step-by-step explanation:

$(cy^2)(4y^d)=-20y^3$

I'm going to reorder the left-hand side. Multiplication is commutative.

$(4c)(y^2y^d)=-20y^3$

Since the bases are the same in $y^2y^d$ and the operation is multiplication, I'm going to add the exponents giving me:

$4cy^{2+d}=-20y^3$

So this implies we have two equations to solve:

$4c=-20$ and $2+d=3$

So the first equation can be solved by dividing both sides by 4 giving you $c=-5$ .

The second equation can be solved by subtracting 2 on both sides giving you $d=1$ .

6 0

3 years ago

Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression ,

madreJ [45]

Tasha weekly earnings.

7 0

3 years ago

Read 2 more answers

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago