Answer:
13.
Step-by-step explanation:
x+x+5=21
2x+5=21
2x=16
x=8
Answer:
The graph f(x)=
is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y=
.
Step-by-step explanation:
The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.
it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.
(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.
-4 is vertical translation 4 units down because it is outside of the parenthesis.
If you have multiple equations with multiple variables, you can either do clever substitutions, or turn it into a matrix on which you can perform linear combinations or multiplications (Gauss elimination)
1 1 1 1
2 1 -1 8
1 -1 1 -5
(note how the above 3 rows represent the 3 equations, just got rid of the variables, plus sign and equals sign)
subtract row1 from row3, that eliminates x and z from row 3.
1 1 1 1
2 1 -1 8
0 -2 0 -6
divide row3 by -2, that will give y a factor of 1
1 1 1 1
2 1 -1 8
0 1 0 3
The last row now says y=3
Answer:
Answer:
y = \frac{x}{36}y=
36
x
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
y = x\ inchesy=x inches
Divide x by 36 to get equivalent in yards
y = \frac{1}{36} * xy=
36
1
∗x
y = \frac{x}{36}y=
36
x
Hence, the equivalent in yards is \frac{x}{36}
36
x
Answer:
of a day
Step-by-step explanation:
To get minutes to days you divide the minutes by the amount of minutes in a day which is 1440
