Answer:
Pat a) The graph in the attached figure
Part b)
The slope is
The y-coordinate of the y-intercept is
Step-by-step explanation:
Part a) Which line represents the linear equation ?
To graph the linear equation find the intercepts
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
The y-intercept is the point
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
The x-intercept is the point
Plot the intercepts to graph the linear equation
see the attached figure
Part b) Rewritten in slope-intercept form
we know that
The equation of the line into slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept
we have
convert to slope intercept form
isolate the variable y
The slope is
The y-coordinate of the y-intercept is
Answer:
5 weekends
Step-by-step explanation:
Felicia already has 60$ of her goal of 189$ so 189-60=129
129/30=4.3
Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.
Answer:
3/10
Step-by-step explanation:
The central angle of the arc is .
The circumference of an arc of a circle is given as:
where C= circumference of the circle
θ = central angle of the arc
Therefore, the circumference of the arc is:
The circumference of the arc will be 3/10 of the circumference of the circle.
Answer:
25x = - 1820
x = -72.8
The truck drove 72.8 miles at 45mph and 100-72.8 = 27.2 miles at 20mph
Step-by-step explanation:
Answer:
The value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
Given
f(x) = 3x² + x - 3
g(x) = x² - 5x + 1
To determine
f(x) - g(x)
Using the formula
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4
Therefore, the value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4