Sure thing!
So if we look at the function, it is an exponential, meaning that it is a number to the power of x
The graph can be described by the equation
y = a^x
If we look at the graph, one of the points on the line is (2, 16), the x value is 2 and the y value is 16
If we consider this along with the function for the graph, we can say that
16 = a^2
Just solve this for a and you’ll have your answer :)
Answer:
-25.17 miles per gallon.
-It costs $49.02 to fill your tank.
Step-by-step explanation:
-To find the miles per gallon, you can use a rule of three:
17.2 gallons → 433 miles
1 gallon → x
x=(1*433)/17.2= 25.17
If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.
-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:
$2.85*17.2=$49.02
It costs $49.02 to fill your tank.
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the number of months.
For Caroline's hair:
Length = (1/5)x + 7
For Trinity's hair:
Length = (1/10)x + 10
For Caroline's hair to be at least as long as Trinity's hair, hence:
(1/5)x + 7 ≥ (1/10)x + 10
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
Find out more on equation at: brainly.com/question/2972832
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Answer:
Step-by-step explanation:
Translating a function up is very simple, all you need to do here is add 8.
If you want to think of it logically,
the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning 
. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.
If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
