Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Answer: The factorization of 
The factors of are 28 and 1+2t+w.
Step-by-step explanation:
The given expression :
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become
Now, taking 28 as common from all the terms, we will get
Thus, the factorization of
And the factors of are 28 and 1+2t+w.
The number of participants with laptop is 115 and without laptop is 161
<u>Step-by-step explanation:</u>
Total number of participants= 276
Participants with laptop = (5/12) 276
= 115
Participants without laptop= 276 - 115
= 161
Answer:
(-2/7, 2/3)
step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
Answer:
P=6x+8
A=2x^2+11x-21
Step-by-step explanation:
Perimeter:
P=2(x+7)+2(2x-3)
P=6x+8
Area:
A=(x+7)(2x-3)
A=2x^2+11x-21
