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Mademuasel [1]
3 years ago
12

Which point do all exponential functions of the form y=a^x pass through

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0
The answer should be A.

When we see the equation y=a^x we can relate to all the exponential functions, however, when the problem asked what points does all equations in that form pass through. I was instantly reminded by two facts.

One is that any number to the first is equal to itself. In other words, a^1=a

Another is that any number to the zero is equal to 1. a^x=1
if that is true, 1 will always be the x value since y=a^x and 0 will always be the x value because that is how y can be equal to one.
therefore, the answer is A: (0,1)
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Christina Stratton invested $8,000 in a certificate of deposit for 4 years. The certificate earns interest at an annual rate of
galben [10]

Answer:

6.13%

Step-by-step explanation:

We are given an investment of $8000 deposited for 4 years. We have to find the effective annual yield for which we will need the interest rate and the compounding period.

Annual interest rate compunded quarterly, r = 6% = 0.06

Compounding period is quarterly, n = 4

Annual EffectiveYield =  (1+\frac{r}{n})^{n}-1\\=(1+\frac{0.06 }{4})^{4}-1

= 0.0613

The annual effective yield is 6.13%

6 0
3 years ago
Tina has ½ of a pan of cornbread leftover from a dinner party. She eats ½ of the leftover part the next night. How much of the w
Kisachek [45]
1/4 is the answer to this
7 0
3 years ago
Me need help fast plz help
Kipish [7]
I need help too but nobody will help me at all
8 0
3 years ago
Read 2 more answers
Simplify:
Scrat [10]
Factoring is decomposing a higher powered expression into a lower powered expressions that are multiplied together. Since (a-b)(a^2+ab+b^2) is lower powered than a^3-b^3, (a-b)(a^2+ab+b^2) is more simplified. 
The Difference of Cubes formula shows up frequently in mathematics courses and should be memorized. 
 The formula for factoring the difference of cubes is (a^3 - b^3)= (a-b)(a^2+ab+b^2). It works because if (a-b)(a^2+ab+b^2) is multiplied it out, then it becomes a^3 - b^3. This was probably originally determined by trial and error a long time ago. 
 Since x is cubed and 8 is 2^3 it factors with the Difference of Cubes Formula.  (x^3-2^3)=(x-2)(x^2+2x+2^2)=(x^2+2x+4)
8 0
4 years ago
You are running a concession stand at a game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $
Sliva [168]

Answer:

sorry it took awhile. 35 hot dogs were sold and 52 sodas were sold. Hotdogs in total were 35*1.50=52.5

sodas were 52*0.50=26

add 52.5+26=78.5

Step-by-step explanation:

to clarify its the answer add 35 and 52 and you will get 87 which was supposed to be the amount sold

4 0
3 years ago
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