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Stolb23 [73]
3 years ago
12

The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.

Mathematics
1 answer:
Julli [10]3 years ago
4 0
Y=ab^x so we can pick any two points, I'll use (1,2) and (2,1)

1/2=(ab^2)/(ab^1)

1/2=b, and then we can use any point to solve for a, I'll use (4, 1/4)

1/4=a(1/2)^4

1/4=a/16

a=4 so our equation is:

y=4(1/2)^x

Thus a=4 and b=1/2
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What is the value of y?<br> Y<br> Y<br> 60<br> O A. 120°<br> B. 60°<br> C. 40°<br> O D. 30°
Grace [21]

Answer:

B. 60°

Step-by-step explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

  • (y+y)+(60)=180
  • 2y + 60 = 180

Step 2: Subtract 60 from both sides.

  • 2y + 60 - 60 = 180 - 60
  • 2y = 120

Step 3: Divide both sides by 2.

  • \frac{2y}{2}=\frac{120}{2}
  • y = 60

Step 4: Check if solution is correct.

  • (60)+(60)+60 = 180
  • 120 + 60 = 180
  • 180 = 180

Therefore, the answer is B. 60°.

4 0
2 years ago
Which of the following angles can be added together to create 132°? Explain your answer using words.
seropon [69]

Answer:

52,25,30,35 is the answer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone please help me with this math problem.
mr Goodwill [35]
PART A:
Find the rate of change between 1980 and 1989
d for P₁ = 80 - 60
d for P₁ = 20

d for P₂ = 76 - 82
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART B:
Find the rate of change between 1989 and 1996
d for P₁ = 100 - 80
d for P₁ = 20

d for P₂ = 70 - 76
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART C:
Find the rate of change between 1980 and 1996
d for P₁ = 100 - 60
d for P₁ = 40

d for P₂ = 70 - 82
d for P₂ = -12

The rate of change in P₁ is 40 hundred per year. The rate of change in P₂ is -12 hundred per year.
4 0
3 years ago
Use elimination method to solve the system of equations choose the correct ordered pairs 3x-4=-30 3x+2y=6
DiKsa [7]
The answer is C(-2, 6).

I think you forgot the y in the first equation (with the -4.
4 0
3 years ago
What is the slope of the line whose equation is y = 3/4x + 4?
Kisachek [45]

Answer:

3/4

Step-by-step explanation:

it's in slope intercept form so the slope is the number before x

8 0
2 years ago
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