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
mihalych1998 [28]
3 years ago
11

In general, the point

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

Step-by-step explanation:

Given the function

f(x) = abˣ

Let us substitute all the points one by one

FOR (b, 0)

y = abˣ

putting x = b, y = 0

0 = abᵇ

FOR (a, b)

y = abˣ

putting x = a, y = b

b = abᵃ

FOR (0, 0)

y = abˣ

putting x = 0, y = 0

0 = ab⁰

0 = a         ∵b⁰ = 1

FOR (0, a)

y = abˣ

putting x = 0, y = a

a = ab⁰

a = a         ∵b⁰ = 1

TRUE

Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

You might be interested in
Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai
Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Given : Confidence level : (1-\alpha)=0.90

⇒ significance level =\alpha= 0.10

z-value for 90% confidence interval (using z-table)=z_{\alpha/2}=1.645

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2

Simplify , we get

n=(0.25)(6765.0625)=1691.265625\approx1692

Hence, the required sample size = 1692

8 0
4 years ago
Read 2 more answers
Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated interest rate after the stated amo
Fynjy0 [20]

Answer: 1,000

First, you have to find how much 7.5% is coming out of 10,000. So in this case it's 750. Multiply 750 by 12 years. Thats 9000, you then subtract 9000 and 10,000 to get 1,000.

4 0
3 years ago
If 3x + 6y = 7z, find x + 2y in terms of z.
o-na [289]

Answer:

Does the answer help you?

3 0
3 years ago
Find 601st term of the arithmetic sequence whose first term is -85 and the common difference is 1/6.
irakobra [83]

Answer:

Step-by-step explanation:

Arithmetic sequence

Tn = a+(n-1)d

= -85 +(601-1) 1/6

= -85 + 600/6

= -85 + 100

= 15

601th term is 15

8 0
3 years ago
Bruce's graduation picnic will cost $12 if it has 4 attendees. At most how many attendees can there be if Bruce budgets a total
ASHA 777 [7]

Answer:

6 peaple

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • True or False for each statement.
    5·1 answer
  • A bank employee notices an abandoned checking account with a balance of $360. The bank charges a $9 monthly fee for the account.
    6·2 answers
  • The product of two consecutive even integers is 224. what are the 4 integers?
    10·2 answers
  • Are the two triangles above similar? Why or why not?
    10·2 answers
  • Estimate to find the quotient if 823 divided by 23​
    8·2 answers
  • Solve x^2-8x-9=0 using the x method
    14·2 answers
  • Solve the system.
    13·2 answers
  • Given : b(x) = 3x + 1<br> find b(x) = 28
    6·1 answer
  • Which of the following lines has a negative slope?
    14·2 answers
  • I really need help i keep getting confused
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!