Answer:
Step-by-step explanation:
Answer:
The two numbers are
4
and
6
.
Explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
Answer: -2(x²+22x+40)
Step-by-step explanation:
When you factor an expression, you are taking out a common factor between the terms. A common factor we can take out is -2 or 2.
-2(x²+22x+40)
2(-x²-22x-40)
Both of these answers work, but we can also take out a -1, therefore, our factor is -2(x²+22x+40). Also, it looks nicer with more positive terms than negative.
Answer:
Step-by-step explanation:these nuts
<u>Answer:</u>
The driver should travel at a Speed of 50 mph so that the average speed of the entire trip is 45 mph
<u>Step-by-step explanation:</u>
Given:
Total distance=100 mi
Speed at which the driver travels the first 50 mi= 40 mph
To Find:
Speed at which the driver should travel so that the average speed of the entire trip is 45 mph=?
Solution:
Average speed:
The average speed of an object is the total distance travelled by the object divided by the elapsed time to cover that distance. It's a scalar quantity which means it is defined only by magnitude. A related concept, average velocity, is a vector quantity. A vector quantity is defined by magnitude and direction.
Let X be the distance at which driver should travel so that the average speed of the entire trip is 45 mph
From The given data we get,
X=50
Answer:
y=-8
Step-by-step explanation:
First, rewrite the equation in slope-intercept form:
Now just look at the slope-intercept form and your y-intercept is -8, and your slope is .
If you don't know what slope-intercept form is it is y=mx+b where m is your slope and b is your y-intercept.
Hope this helps! :)