Answer:
(g - f)(x) = 3x - 33
Step-by-step explanation:
Arrange f(x)= 2x + 13 and g(x) = 5x -20 vertically as shown below:
g(x) = 5x - 20
-f(x) = -2x - 13
----------------------
(g - f)(x) = 3x - 33
Answer:
B. 7
Step-by-step explanation:
Count every number less than 70 (count the leaf plot numbers if that helps).
62,62,63,64,54,56,56 = 7 drivers that travel less than 70 mph
The two lines intersect at point B, hope this helps.
Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
The formula for area of a triangle is 1/2 x base x height.
Let the height = x
Then the base (length) = 2x ( twice the height)
You know have 16 = 1/2 * 2x * x
Multiply both sides by 2 to remove the 1/2:
32 = 2x * x
Simplify the right side:
32 = 2x^2
Divide both sides by 2:
16 = x^2
Take the square root of both sides:
X = 4
The height is 4 units and the length is 8 Units
