All categories

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

y = 7 $3^{x}$

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a $b^{0}$ ( $b^{0}$ = 1 ), thus

a = 7

y = 7 $b^{x}$

Using (5, 1701 )

1701 = 7 $b^{5}$ ( divide both sides by 7 )

243 = $b^{5}$ ( take the fifth root of both sides )

b = $\sqrt[5]{243}$ = 3 , thus

y = 7 $3^{x}$

You might be interested in

1/X 1/4=7/12 solve and check solution

liraira [26]

$\frac { 1 }{ x } +\frac { 1 }{ 4 } =\frac { 7 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 1 }{ 4 }$

$\\ \\ \frac { 1 }{ x } =\frac { 7 }{ 12 } -\frac { 3 }{ 12 } \\ \\ \frac { 1 }{ x } =\frac { 4 }{ 12 } =\frac { 1 }{ 3 } \\ \\ 3x\cdot \frac { 1 }{ x } =\frac { 1 }{ 3 } \cdot 3x\\ \\ x=3$

6 0

3 years ago

Read 2 more answers

What is the answer to 72/80 - 13/20

LenKa [72]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

$\frac{72}{80} = \frac{18}{20}$

so, $\frac{18}{20} - \frac{13}{20} = \frac{18-13}{20} = \frac{5}{20}$

$\frac{5}{20} = \frac{1}{4}$

4 0

3 years ago

I need help on this question below

kumpel [21]

I think it’s the Second one

3 0

3 years ago

PLEASE HELP ME WITH THIS SHOW YOUR WORK AND YOU’ll GET BRAINLIEST! 20 POINTS

mars1129 [50]

For this question, I would first see what one child is equal toby divide the children by the percentage.
15÷3= 5
Each child is worth 5%. If you know each child is worth 5%, and the total number of students are 100%, then you can divide.
100÷5= 20
There are 20 students in the class. To make sure our answer is right, we can check to see if 3 students are 15 percent.
3÷20= .15×100= 15
So yes, there are 20 students in the class.

3 0

3 years ago

Please help me please

Arada [10]

Answer:

Accelerate

Step-by-step explanation:

It just feels right!

Have a nice day! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

5 0

3 years ago