Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
If m > 0 , then line slopes upwards from left to right
If m < 0 , then line slopes downwards from left to right
y = 3x - 2
has m > 0 and c = - 2 , thus line slopes upwards crossing the y- axis at - 2
y = - 2x + 3
has m < 0 and c = 3, thus line slopes downwards crossing the y- axis at 3
on the graph this is the lower blue line and the red line
the solution to the system is at the point of intersection of the 2 lines
This is at point D
They show the decomposition of a multiplication expression into smaller parts
Answer:
The sum of all integers is 774.
Step-by-step explanation:
Since √11 = 3.3166, and 3.3166 is not an integer, so the first integer is 4.
From 1 to 39, there are 39 integers. But we started with 4, so we take out 3 numbers (1, 2, 3). Therefore, there are 39 - 3 = 36 numbers left.
The total number between 4 and 39 is 36 = n.
Sn = n/2 x (a1 + an)
S36 = 36/2 x (4 + 39) = 18 x 43 = 774
the function f(x) = 4(x+3) − 5
Lets find the inverse function f^-1(x)
step 1: Replace f(x) with y
y = 4(x+3) − 5
step 2: Replace x with y and y with x
x = 4(y+3) - 5
step 3: Solve for y
x = 4(y+3) - 5
x = 4y +12 -5
x= 4y + 7 (subtract 7 on both sides)
x - 7 = 4y (divide by 4 on both sides)
Given : x = 3
We plug in 3 for x in the inverse function
= -1
the inverse function when x = 3 is -1
Answer:
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