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:
x = - 4, x = - 3
Step-by-step explanation:
To find the zeros equate f(x) to zero, that is
x² + 7x + 12 = 0
To factorise the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
The factors are + 4 and + 3, since
4 × 3 = 12 and 4 + 3 = 7, hence
(x + 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 3 = 0 ⇒ x = - 3
Answer:
Time should be plotted on the horizontal X - axis.
Step-by-step explanation:
Xavier and Bobby each receive a salary check every week. They combine their checks in one account. Their account has $100 after 2 weeks and $300 after 6 weeks.
In a graph showing the relationship of amount in their account versus time, time should be plotted on the horizontal X - axis.
Answer= 54 kilometers per hour is the answer
