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katen-ka-za [31]
3 years ago
12

In general, the y intercept of the function F(x)= a•b^x is the point

Mathematics
1 answer:
serg [7]3 years ago
4 0

The y intercept of this function is always (0, a).


This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.


F(x) = a*b^x

F(0) = a*b^0

F(0) = a*1

F(0) = a


And for an example with a random number, we'll use a = 5 and b = 3


F(x) = 5*3^x

F(0) = 5*3^0

F(0) = 5*1

F(0) = 5


No matter what a and b equal, the intercept will be the a value.

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Which of the following equations represents the line with a slope of negative 8/7 and a y-intercept of negative 3?
kati45 [8]

Solution

The general form of the equation is y = mx + b, where m is the slope and b is the y-intercept.

Given: m = 8/7 and b = -3

Plugin the given values into the formula.

y = 8/7x - 3

The answer is y = 8/7x - 3

Thank you :)

7 0
3 years ago
Elise is a project manager
gregori [183]

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

8 0
2 years ago
Read 2 more answers
Round 92.471 to the nearest tenth
olga55 [171]
The answer would be 92.5.

The 4 is the tenth
The 7 is the hundredth
The 1 is the thousandth
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Ayana's favorite brownie recipe calls for 1/2 of a cup of flour for every 1/3 of a cup of cocoa powder. For a bake sale, she pla
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Answer:

either a full cup or 1 1/2

Step-by-step explanation:

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2 years ago
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T - ( - 10) = 9
t + 10 = 9
t = 9 - 10
t = -1

----------------------------------
Answer: t = -1
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5 0
3 years ago
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