Answer:
Step-by-step explanation:
Here, we want to graph the given line
Mathematically, to graph a line, we will
need to work with the intercepts
The general equation of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
with respect to the question, 4 is the y-intercept
we have this point as (0,4)
To get the x intercept, we will need to substitute 0 for the value of y
So, we have ;
0 = -x + 4
x = 4
The x-intercept too is 4
This is the point (4,0)
So by joining the points (0,4) and (4,0);
we have successfully graphed the line
It can be found as an attachment below
Answer: the required system of equations are
x + y = 6
6x + 5y = 35
Step-by-step explanation:
Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.
There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that
x + y = 6
Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that
6x + 5y = 35
Answer: c
Step-by-step explanation:
Answer:
option C is correct, i.e. y = sec(x).
Step-by-step explanation:
Given is a graph of a trigonometric function.
We have four choices to select from:-
A. y = cot(x)
B. y = tan(x)
C. y = sec(x)
D. y = csc(x)
We can check the y-intercept from the graph that is (0, 1).
Substituting x=0 in each option as follows:-
A. y = cot(0) = ∞.
B. y = tan(0) = 0.
C. y = sec(0) = 1.
D. y = csc(0) = ∞.
Hence, option C is correct, i.e. y = sec(x).
