Replace every x you see in the function with 1 and simplify.
Let x be 1.
f(1) = 4(1)^2 -(1) + 3
f(1) = 4(1) - 1 + 3
f(1) = 4 - 1 + 3
f(1) = 3 + 3
f(1) = 6
Done!
Answer:
180
Step-by-step explanation:
let x = total units of electricity after 250 units
the total units of electricity consumed can be determined using the formula below
80 + 7.3x = 1248
7.3x = 1248 - 80
7.3x = 1168
divide both sides of the equation by 7.3
x = 1168 / 7.3
x = 160
total electricity consumed = 160 + 20 = 180
160
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
<u><em>y=5</em></u>
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
<u><em>x=16</em></u>
<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
Answer:
Step-by-step explanation:
<u>Given function</u>
The points (-1, 1/6) and (1, 2/3) lie on the graph
<u>Substitute the values of x and y to get the system of equations:</u>
- 1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
- 2/3 = c*a^1 ⇒ 2/3 = ac
<u>Substitute a and solve for c:</u>
- 2/3 = 6c*c
- 1/9 = c²
- c = √1/9
- c = 1/3
<u>Find a:</u>
<u>The equation of the function:</u>
