Answer:
3m+3p
Step-by-step explanation:
Sum of m and p is expressed as;
m + p (sum means addition)
If 3 is multiplied by the sum, this is expressed as;
3(m+p)
Expand
3m + 3p
Hence the required expression is 3m+3p
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.
2/10 = x/5
Now, we can use cross products to simplify this proportion. Cross products sets the products of the numerator and denominator of separate fractions equal to one another. It results in the equation:
(5)(2) = (10)(x)
Let's multiply out these numbers to further simplify the equation.
10 = 10x
Finally, we have to divide both sides by 10, to get our variable x alone
x = 1
Therefore, 2 tenths is equal to 1 fifth.
Answer:
D or B
Step-by-step explanation:
Question 50.
a. Description
You walk 0.5 miles during 10 minutes, stop and wait for the bus during 4 minutes, then ride the bus for 2 miles during 4 minutes.
b. slopes
the slope of each line represents the average speed of every track.
1) first track
slope = 0.5 miles / 10 minutes = 0.05 miles / minutes.
Given that the slope is constant, you walked at a constant speed of 0.05 miles/minute.
2) second track
slope = 0 => you didn,t move (you were waiting the bus)
3) third track
slope = (2.5 - 0.5) miles / (18 min - 14 min) = 2 miles / 4 min = 0.5 miles / min
means the speed of the bus was constant and equal to 0.5 miles / min.