Step-by-step explanation:
g(f(-6)) = g( 4(-6)+3) =g(-21) = -21-2 =-23
A
Don't forget that you can also pull out an x besides the 10. The expression should look like this.
A(x) = 10x(x - 5)
The GCF is 10x
B
The area of the Bedroom = 10x ( x - 5)
If the length = 5x then the width is
A/L = 10x (x - 5)/(5x)= 2*(x - 5)
C
Now they are changing the Length to the GCF. We determined in A that the GCF = 10x
This time A/L = 10x(x - 5)/10x = (x - 5)
So the width = x - 5
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
Answer: Our required equation will be
Step-by-step explanation:
Since we have given that
Jack and Jill walked 4 yards every three seconds
As we know that
Now, we need to find the find the equation to represent the distance,<em>d</em>,
Jack and Jill walked over time <em>t </em>.
So here it is,
Hence, our required equation will be
We have been given that Avril invested $60,000 in a partnership with lane, Jules, Ray, Ravi and petra. The total investment of all partners was 320,000.
To find percentage of the business Avril owns we will find 60,000 is what percent of 320,000.
Therefore, Avril owns 18.75% of the business.
