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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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Does anyone know how to do simple interest for 7th grade math? I need a tutorial or an example please, thanks. A question exampl
lions [1.4K]

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

3 0
3 years ago
Use synthetic division and remainder theorem p(x) = 3x^3 - 5x^2 - x + 2. p(-1/3)=
Alik [6]

Answer:

5/3

Step-by-step explanation:

-1/3 goes on the outside and since we have our polynomial in standard form with no in between terms missing, 3,-5,-1,2 go inside because they are the coefficients of our polynomial.

-1/3   |   3      -5          -1          2

       |

         -------------------------------------

First step bring the 3 down inside. (3+0=3)

-1/3   |   3      -5          -1          2

       |

         -------------------------------------

           3

Whatever goes below the bar, must be multiplied by outside number and put directly below next number inside.

-1/3   |   3      -5          -1          2

       |             -1

         -------------------------------------

           3

The numbers lined up vertically are added to get the numbers underneath the bar.

-1/3   |   3      -5          -1          2

       |             -1

         -------------------------------------

           3        -6

Again any number below the bar gets multiply to the number outside.

-1/3   |   3      -5          -1          2

       |             -1          2

         -------------------------------------

           3        -6

Again the numbers lined up vertically above the bar get added to get the number that goes underneath the bar there.

-1/3   |   3      -5          -1          2

       |             -1          2

         -------------------------------------

           3        -6          1

Multiply to outside number 1(-1/3)=-1/3.

This goes under the 2 inside.

-1/3   |   3      -5          -1          2

       |             -1          2          -1/3

         -------------------------------------

           3        -6          1

The last number we are fixing to be put is the remainder of (3x^3-5x^2-x+2)/(x+1/3) or you could say it is the value of p(-1/3) since:

P(x)/(x-c)=Q(x)+R/(x-c)

Multiply both sides by (x-c):

P(x)=Q(x)(x-c)+R

If you evaluate P at x=c, we get R:

P(c)=Q(c)(c-c)+R

P(c)=Q(c)*0+R

P(c)=R.

Let's finish:

-1/3   |   3      -5          -1          2

       |             -1          2          -1/3

         -------------------------------------

           3        -6          1         5/3

This means p(-1/3)=5/3.

We could have also got this by directly plugging in (-1/3) for x into 3x^3-5x^2-x+2.

7 0
3 years ago
PLEASE HELP ILL GIVE OUT BRAINLIEST PLEASE​
yaroslaw [1]

Answer:

Well the answer is the first one 3 (5 x) and 15x

Step-by-step explanation:

Because it is the same thing as (5 x) 3. The numbers just changed the positions.

And 15x because you can multiply the first 5 times 3 and that is equal with 15 and then you put the x at the end. 15x

8 0
2 years ago
40 POINTS AND BRAINLIEST ANSWER!<br> you have to match which ones they go to
Yuliya22 [10]
Seconded to the bottomed is symmetric property of equality 
bottomed one is substitution property of equality
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8 0
3 years ago
Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD
lesya692 [45]

Answer: 1\ \text{USD}\equiv 1.35\ \text{AUD}

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}

4 0
2 years ago
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