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iren2701 [21]
3 years ago
11

Can anyone help me with these three problems?

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

the first one is 3.31

Step-by-step explanation:

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16
Tanya [424]

Answer:

2.50

Step-by-step explanation:

Given

(x_1,y_1) = (-1,0.8)

(x_2,y_2) = (0,2)

(x_3,y_3) = (1,5)

(x_4,y_4) = (2,12.5)

Required

The rate of change (b)

The above graph is represented as:

y = ab^x

For: (x_2,y_2) = (0,2);

We have:

y = ab^x

2 = a * b^0

2 = a *1

2 = a

a = 2

For (x_3,y_3) = (1,5),

We have:

y = ab^x

5 = a * b^1

5 = a * b

Substitute a = 2

5 = 2 * b

Divide by 2

2.5 = b

b = 2.5

<em>Hence, the rate of change is 2.50</em>

7 0
3 years ago
What is the value of c so that -12 and 12 are both solutions of x^2-c=108? ​
murzikaleks [220]

Answer:

c=36

Step-by-step explanation:

  1. Because x^2-c=108 can be rewritten as x^2-c-108=0, finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that (+-)12^2-c-108=0.
  2. Because 12^2=(-12)^2=144, we must find c so that 144-c-108=0.
  3. Because 144-108=36, c=36.
  4. To check, replace c=36 in the initial equation, and check  it is a solution for x=(+-)12.
8 0
3 years ago
Write the quadratic function in vertex form. y=-3x^2+24x-50
castortr0y [4]

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

4 0
3 years ago
Daniya can complete a job in 6 minutes, while it takes Abraham 9 minutes to
lora16 [44]

Answer:

(eduacted guess) 7 minutes, 30 seconds

Step-by-step explanation:

May not be correct but what I did was find the average of 6 and 9. You add the 6 and the 9 (15), then divide it by 2.

3 0
3 years ago
Help with number 10 pls it seems really easy!!
Alla [95]

OK so if they ring at 6AM together then they would ring like this from now on:

ANSWER: they ring together next at 9:20

Bell 1: 6:25       Bell 2: 6:40

Bell 1: 6:50       Bell 2: 7:20

Bell 1: 7:15       Bell 2: 8:00

Bell 1: 7:40       Bell 2: 8:40

Bell 1: 8:05       Bell 2: 9:20

Bell 1: 8:30       Bell 2: 10:00

Bell 1: 8:55       Bell 2: 10:40

Bell 1: 9:20       Bell 2: 11:20

4 0
4 years ago
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