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
IgorLugansk [536]
3 years ago
8

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? There will be no change to the graph because

the exponential portion of the function remains the same. The y-intercept is 22 spaces higher. The x-intercept is 22 spaces higher. All input values are moved 22 spaces to the right.
Mathematics
2 answers:
grigory [225]3 years ago
5 0
The y-intercept is 22 spaces higher.  Adding a constant to a function shifts the parent function upwards by that number of units.
Trava [24]3 years ago
4 0

Answer: The y-intercept is 22 spaces higher.


Step-by-step explanation: Given function is f(x) = 3(5)^x.

And transformed function equation f(x) = 3(5)^x + 22.

We can see 22 is being added to the given function f(x) to get the transformed function.

<em>Note: According to transformation rule, y = f(x) +k shift k units up.</em>

22 is being added to the original function. So,  f(x) = 3(5)^x + 22 function would shift 22 units up that is y-intercept is 22 spaces higher.

<h3>Therefore , correct option is : The y-intercept is 22 spaces higher.</h3>
You might be interested in
What is the volume of the cone? Use π ≈ 3.14.
BARSIC [14]

Answer:

12.56 cubic units on edge

Step-by-step explanation:

6 0
3 years ago
The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true
Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478

<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

<u>Part C</u>

\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

6 0
2 years ago
The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb
Zigmanuir [339]

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

4 0
2 years ago
Simplify 5 cube root of 72
goldenfox [79]
The answer is 2.35215804
4 0
3 years ago
(02.03
12345 [234]
Is the equation 02.03 ??
7 0
2 years ago
Other questions:
  • During exercise Sonia's heart beats 675 times in 5 minutes. How many times does it beat per minute?
    12·2 answers
  • Change 1.49% to a decimal
    15·2 answers
  • How do you find the length of the legs of an isosceles triangle?
    13·2 answers
  • Help Me Please (40 Points) + Brainliset Answer
    10·2 answers
  • Choose the expression that correctly compares 0.720 and 0.7200​
    5·2 answers
  • PLEASE HELP ASAP WILL GIVE BRAINLEIST!!!
    7·1 answer
  • Add and Subtract the fractions below: 1/3 and 1/4
    5·1 answer
  • A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
    14·1 answer
  • 3.A rectangular block of plasticine
    15·1 answer
  • Fill in the table using this function rule. y=3x+5
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!