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Alekssandra [29.7K]
3 years ago
11

Consider the equation a(3 - x) = - 2x + b. What values of a and b make the solution of the equation x =-2? Write a number from t

he box onto each blank to complete the answer.
Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

a=1, b=1

Step-by-step explanation:

Given the equation: a(3 - x) = - 2x + b

If the solution of the equation x=-2

Then to find the values of a  and b, we substitute x=-2 into the equation.

a(3 - x) = - 2x + b\\a(3 - (-2)) = - 2(-2) + b\\a(3+2)=4+b\\5a=4+b\\5a-b=4\\$If we make the substitution a=1, b=1 into the above equation\\5(1)-1=4 is true.\\Therefore: a=1, b=1

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If Bill
777dan777 [17]

Answer:

$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)

Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065


Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

So you need to have y=3000(b)^x

We now know that the rate of growth is 1.065 so the b would be 1.065

y=3000(1.065)^x

Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

4 0
2 years ago
Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is
Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

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3 years ago
The Moon's gravity is that of Earth. If an astronaut weighs 79 kilograms (175 pounds) and his space suit weighs 50 kilograms (11
Firdavs [7]
Download Socratic it will help you!
3 0
3 years ago
Hamster111 yes please
Rufina [12.5K]

Answer:

Indeed

Step-by-step explanation:

3 0
2 years ago
Which graph best represents the function f(x) = 3(1.5)x?
jok3333 [9.3K]

Answer:

B). graph of increasing exponential function going through point (0, 3)

Step-by-step explanation:

Given function is f\left(x\right)=3\left(1.5\right)^x

Now we need to find about which of the given choices best describes the given function. Where given choices are:

A). graph of increasing exponential function going through point 0, 2

B). graph of increasing exponential function going through point 0, 3

C). graph of increasing exponential function going through point 0, 1

D). graph of increasing exponential function going through point 0, 4

plug x=0 into given function

f\left(x\right)=3\left(1.5\right)^x

f\left(0\right)=3\left(1.5\right)^0=3(1)=3

Hence graph passes through point (0,3).

growth factor 1.5 is greater than 1 so that means it is increasing function.

Hence correct choice is:

B). graph of increasing exponential function going through point (0, 3)

5 0
3 years ago
Read 2 more answers
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