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timofeeve [1]
3 years ago
11

Write an exponential function for graph that passes through the following points (-3,80);(-1,20)

Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

y

=

4

(

1

2

)

x

Explanation:

An exponential function is in the general form

y

=

a

(

b

)

x

We know the points

(

−

1

,

8

)

and

(

1

,

2

)

, so the following are true:

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

Multiply both sides of the first equation by

b

to find that

8

b

=

a

Plug this into the second equation and solve for

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

4

(

1

2

)

x

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Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.
vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0
3 years ago
Halp how to factor 4x-2
denis-greek [22]

Answer:

2(2−1)

Step-by-step explanation:

4−2

Grouping

Common factor

4−2

2(2−1)

Solution

2(2−1)

7 0
2 years ago
Read 2 more answers
Ted and Meg have each drawn a line on the scatter plot shown below:
expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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8 0
3 years ago
Read 2 more answers
Shanelle invested $10,000, and at the end of 1 year, she received $805 in interest. She invested part of the money in an account
andrew-mc [135]
10$ because i worked it out and valedictorian in my math class so listen to me yeah
8 0
3 years ago
4x=5x-12 what does x equal
Stels [109]

4x = 5x - 12

First you want to subtract 5x from both sides:

5x will cancel out

4x - 5 = -1

Next you want to divide -1 on both sides:

-1 will cancel out

-12/-1 = 12

Since there are two negatives it turns into a positive.

So your answer is x = 12.

Hope this Helps!!

3 0
3 years ago
Read 2 more answers
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