1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mrrafil [7]
3 years ago
14

Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                   

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

y = 1 (2)x

     2

Step-by-step explanation:

You might be interested in
PLEASE HELP!!!!!!
Snezhnost [94]

Answer:

x= 5.5, y=6

Step-by-step explanation:

multiply by 2

right on edge

8 0
3 years ago
Read 2 more answers
5/6k+2/3=4/3 <br> What is K? <br> I don't understand how to do these
Drupady [299]
First, subtract 2/3 from both sides and you get \frac{5}{6} k =  \frac{2}{3}
Then multiply both sides by 6/5 and you get k =  \frac{4}{5}
8 0
2 years ago
without building the graph, find the coordinates of the point of intersection of the lines given by the equation y=3x-1 and 3x+y
DaniilM [7]
<h2><u>1. Determining the value of x and y:</u></h2>

Given equation(s):

  • y = 3x - 1
  • 3x + y = -7

To determine the point of intersection given by the two equations, it is required to know the x-value and the y-value of both equations. We can solve for the x and y variables through two methods.

<h3 /><h3><u>Method-1: Substitution method</u></h3>

Given value of the y-variable: 3x - 1

Substitute the given value of the y-variable into the second equation to determine the value of the x-variable.

\implies 3x + y = -7

\implies3x + (3x - 1) = -7

\implies3x + 3x - 1 = -7

Combine like terms as needed;

\implies 3x + 3x - 1 = -7

\implies 6x - 1 = -7

Add 1 to both sides of the equation;

\implies 6x - 1 + 1 = -7 + 1

\implies 6x = -6

Divide 6 to both sides of the equation;

\implies \dfrac{6x}{6}  = \dfrac{-6}{6}

\implies x = -1

Now, substitute the value of the x-variable into the expression that is equivalent to the y-variable.

\implies y = 3(-1) - 1

\implies     \ \ = -3 - 1

\implies     = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h3 /><h3><u>Method 2: System of equations</u></h3>

Convert the equations into slope intercept form;

\implies\left \{ {{y = 3x - 1} \atop {3x + y = -7}} \right.

\implies \left \{ {{y = 3x - 1} \atop {y = -3x - 7}} \right.

Clearly, we can see that "y" is isolated in both equations. Therefore, we can subtract the second equation from the first equation.

\implies \left \{ {{y = 3x - 1 } \atop {- (y = -3x - 7)}} \right.

\implies \left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

Now, we can cancel the "y-variable" as y - y is 0 and combine the equations into one equation by adding 3x to 3x and 7 to -1.

\implies\left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

\implies 0 = (6x) + (6)

\implies0 = 6x + 6

This problem is now an algebraic problem. Isolate "x" to determine its value.

\implies 0 - 6 = 6x + 6 - 6

\implies -6 = 6x

\implies -1 = x

Like done in method 1, substitute the value of x into the first equation to determine the value of y.

\implies y = 3(-1) - 1

\implies y = -3 - 1

\implies y = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h2><u>2. Determining the intersection point;</u></h2>

The point on a coordinate plane is expressed as (x, y). Simply substitute the values of x and y to determine the intersection point given by the equations.

⇒ (x, y) ⇒ (-1, -4)

Therefore, the point of intersection is (-1, -4).

<h3>Graph:</h3>

5 0
1 year ago
Can someone put this in order
zaharov [31]
The first has value 2500*(1+.05*9)=3625.  The second, similarly, has value 4160, and the third, 3400.  Thus, the order, from least to greatest, is third, first, second.
3 0
2 years ago
I’ll give brainliest if u explain how to do those 3 no links plz:)
seraphim [82]

31.93

u low key cute too

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation: -x-10= -12
    7·1 answer
  • Is 14/4573 a rational number?
    12·1 answer
  • A small school has 27 boys .if the ratio of boys to girls is 9:4, how many students are their together
    11·1 answer
  • I NEED HELP PLEASE!!
    9·2 answers
  • A baseball team played 154 regular season gamesThe ratio the tumber games they the games they lost 2/5 How many games they many
    10·1 answer
  • Guy ran 3 4of the distance that Aviv ran, and Guy ran at 2 3of Aviv's speed. If Guy ran 1 1 2miles at 6 miles per hour, for how
    11·1 answer
  • What is the solution set to log(x + 7) &gt; log3x?<br><br> (–∞, 3)<br> (–7, 0)<br> (0, 3)<br> (3, ∞)
    12·2 answers
  • 4x + 1 over 3y2
    14·1 answer
  • PLEASE ANSWER THIS ASAP
    12·1 answer
  • How do we locate the solution of a systems of linear equation?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!