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klasskru [66]
3 years ago
5

If b>1 in a function of the form f(x) = ab^x, is the function an example of exponential growth or exponential decay?

Mathematics
1 answer:
alex41 [277]3 years ago
3 0

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

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What is the y intercept of f(x)=(1/2)*
9966 [12]

Answer:

B. (0,0)

Step-by-step explanation:

The y-intercept of the equation f(x) = 1/2x lies on the y-axis.

This means we need to set x = 0 and solve for y

1/2(0) = 0

Therefore, (0,0) is the y-intercept of this equation.

5 0
3 years ago
​​ What is the area of a rectangle with vertices at ​ (−4, 0) ​, ​ (−3, 1) ​ , (0, −2) , and (−1, −3) ? Enter your answer in the
Kobotan [32]
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²

What we need to find:
Area
 
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.

a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h

Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.

a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h

Now we can find area,
Area= l x w
        = √18 x√2
        =√36=6
Area=6

Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
3 0
3 years ago
When you add or subtract monomials, you must___________ to simplify the expression.(Example: 6x^3-2x^3)
allsm [11]
I think it’s B. You wouldn’t have to multiply since it’s only adding or subtracting, and you don’t add exponents when you’re adding monomials.
4 0
3 years ago
3x = 6<br><br> Help me p l e a s e
GuDViN [60]

Answer:

x=2

Step-by-step explanation:

have a nice day

3 0
3 years ago
If you take Coleman's test grade and divide by 2 and add 27, you get 67. Write and solve an equation to find Coleman's test grad
Sophie [7]
I believe this is it.

x is Coleman's test grade.

x/2 +27 = 67    Now solve for x
-27          -27

x/2=40
*2    *2

x=80

Coleman's Test Score was 80.
4 0
3 years ago
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