Answer: Gina have 72 dimes.
Step-by-step explanation:
We know nickel is made up of 5 cents and dimes is made up of 10 cents. so we could write the equation.
0.05x + 0.10y = 8.65 where x is th number of nickels and y is the number of dimes.
We could also write another equation to represent the total coins.Since the coins are only nickels and dimes we could say that x+y = 101 which means the total number of nickels x and the total number of dimes y has to equal 101.
0.05x + 0.10y = 8.65 solve both system of equation using the elimination
x + y = 101 method
multiply the down equation by -0.05 to eliminate the x variables.
-0.05(x+y) = 101(-0.05)
-0.05x - 0.05y = -5.05
NOw we have a new equation so you could add them up and eliminate the x terms.
0.05x + 0.10y =8.65
-0.05x - 0.05 = -5.05
0 + 0 .05y = 3.6
y= 72
Now we know that Gina has 72 dimes and since we know the total subtract it to find how many nickels.
101 - 72 = 29
Answer:
Yes
Step-by-step explanation:
3 x - 2 y = 10
( - 2 , - 8 )
We know that coordinates are put in the form ( x , y ) and from that we can work out that x = -2 and y = -8
Now we just substitute x = -2 and y = -8 into 3 x - 2 y = 10
3 x - 2 y = 10
{ 3 × ( - 2 ) } - { 2 × ( - 8 ) } = 10
{ - 6 } - { - 16 } = 10
- 6 + 16 = 10 True
Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)