Let m and r represent the maximum speeds of Malcolm and Ravi in km/h, respectively.
... (m + r)/2 = 260 . . . . . the average of their speeds was 260 kph
... 2m = r + 80 . . . . . . . . double Malcolm's speed is 80 kph more than Ravi's
The second equation can be solved for r and that expression substituted into the first equation.
... 2m - 80 = r . . . . . . . . . . . an expression for r from the second equation
... (m + 2m - 80)/2 = 260 . . . the result of substituting that into the first
... 3m - 80 = 520 . . . . . . . . multiply by 2
... m = 200 . . . . . . . . . . . . . add 80 and divide by 3
... 2·200 - 80 = r = 320 . . .substitute the value of m into the expression for r
Malcolm's maximum speed was 200 km/h.
Ravi's maximum speed was 320 km/h.
Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of (
).
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
(
) + (
) + (
)
(
) + (
) + (
)
(
) + (
) + (
)
(8) + (2) + (
)
10 +
10.5
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224
Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
F(x)=8
3x+2=8
-2 both sides
3x=6
Divide 3 both sides
X=6/3
X=2
