Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
8 arrangements
Step-by-step explanation:
The highest common factor of 24 and 40 is 8
So
40 / 8 = 5
24 / 8 = 3
5 orchids and 3 lilies per arrangement makes 8 arrangements
f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X
Answer:
VP = 117 mm
Step-by-step explanation:
Corresponding sides of similar quadrilaterals are proportional.
VP/FD = BP/KD
VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens
VP = 117 mm
