1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tju [1.3M]
3 years ago
8

Graph f(x)=2^x−1 and g(x)=−x+5 on the same coordinate plane.

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0
The graphs intersect at x=2. That is the solution to f(x)=g(x).

You might be interested in
F(x) = x2 + 7, what is the equation for f–1(x)?
melomori [17]
F-1(x) = (x-7) / 2, you can get this by taking 2x + 7, and doing the opposite operations on x. you also need to go in the reverse direction of Order of Operations. So first, we take 7 away from x, since subtraction is opposite from addition, and it is the last thing we would do in order of operations. next we only have the 2 multiplier left, so we put the x-7 in parenthesis, and divide by 2.
6 0
3 years ago
Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p
alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093

As a consecuence, he wont foul out with probability 0.9093.

8 0
4 years ago
If f(-3) = -8, then f(x)= 3x +
Nataly_w [17]

Answer:

f(x)= 3x + 1

Step-by-step explanation:

Let's set the unknown variable as b, since it's a linear equation.

Using the point given (-3, -8), we can find b by plugging in the known numbers and solving.

-8 = -3 (3) + b

-8 = -9 + b

b = 1

If you want, you can check it by forming the complete equation and plugging in -3.

f(x)= 3x + 1

f(-3) = -9 + 1

f(-3) = -8 = -8

I hope this helped!

7 0
3 years ago
If you purchase an ipod that costs $339, how much sales tax will you pay if the rate is 8.375%?
Dominik [7]

The sales tax amount is $ 28.4

<em><u>Solution:</u></em>

Given that you purchase an ipod that costs $339

The tax rate is 8.375 %

To find: Sales tax amount

From given,

Cost price = $ 339

Tax rate = 8.375 %

Therefore, sales tax amount is 8.375 % of cost price

Sales\ Tax\ Amount = 8.375 \% \text{ of } 339\\\\Sales\ Tax\ Amount = 8.375 \% \times 339\\\\Sales\ Tax\ Amount = \frac{8.375}{100} \times 339\\\\Simplify\ the\ above\ expression\\\\Sales\ Tax\ Amount = 0.08375 \times 339\\\\Sales\ Tax\ Amount = 28.39125 \approx 28.4

Thus sales tax amount is $ 28.4

6 0
3 years ago
Help again please lol<br> I suck at math
goldenfox [79]

Answer:

The answer is B. 1 28/99

Step-by-step explanation:

If you divide 28/99, you will get 0.28282828 and so on. and 1 is a whole number, so 1.28 is what B equals.

8 0
3 years ago
Other questions:
  • PLEASE HELP!!! WILL GIVE BRAINLIEST!!
    6·2 answers
  • How many hours in a 100,000 minutes ?
    11·2 answers
  • Stacey filled her one half cup measuring cup seven times to have enough flour for a cake recipe. How much flour does the cake re
    13·2 answers
  • Describe mathematics in your own words
    7·1 answer
  • PLEASE HELP ITS DUE TOMORROW AT 9AM
    15·1 answer
  • Is 200 milliliter equivalent to 2 liters
    5·1 answer
  • What is the least common denominator of 1/2 and 3/7
    15·2 answers
  • The diameter of a red blood cell is 6 x 10^-6 how many red blood cells are needed to make a line 1 in. long
    12·1 answer
  • Dulce the dog loves to go on walks.
    6·1 answer
  • Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother. How ol
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!