Answer:
x-intercepts are (-3,0) and (-4,0).
y-intercept is (0,12).
Step-by-step explanation:
x-intercept is a point where the value of y is zero.
y-intercept is a point where the value of x is zero.
Given equation is :
y=x²+7x+12
put x=0 in given equation to find y-intercept.
y=(0)²+7(0)+12
y= 0+0+12
y= 12
hence, y-intercept is (0,12).
put y=0 in given equation to find x-intercept.
0=x²+7x+12
split the middle term of above equation to make the equation into two groups such that the sum of two numbers should be 7 and their product be 12.
x²+3x+4x+12=0
making two groups and taking common out:
x(x+3)+4(x+3)=0
take (x+3) common,
(x+3)(x+4)=0
x+3=0 or x+4=0
x=-3 or x=-4
hence, x-intercepts are (-3,0) and (-4,0).
Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Answer:
Try this on for size.
Step-by-step explanation:
Answer:
3x+7
Step-by-step explanation:
Answer:
45 million?
Step-by-step explanation:
hope this helps
