Answer:
Problem 2) : the gradient is "-2", and the y-intercept is "3"
Problem 3)
A is 
B is 
Step-by-step explanation:
Problem 2)
In the line given by the equation: 
the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"
the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0
Problem 3)
Consider the two lines :
and
notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.
Now notice that the gradient of one of them is "1" (for ) that is the coefficient that multiplies the variable "x". While for the other line ( ) the gradient is "2" and therefore steeper than the previous one.
Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation , and the line identified with "B" is the one with smaller gradient .
5) it is a function because each x value only has one y value. Domain: (-infinity,infinity) range: [0,infinity)
6) it is a function. Domain: (-infinity, infinity) Range: [3,3]
7) it is a function. Domain: (-infinity, infinity) range: (-infinity, infinity)
8) it is a function. Domain: [0, infinity) range: [0, infinity)
Answer:
12. The second one
13. The first one
14. The last one
15. The first one
16. 30 degrees
Step-by-step explanation:
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
