First find the slope of f(x).
m=(y2-y1)/(x2-x1)
m=(1-5)/(2-0)
m=-4/2
m=-2
y=-2x+b, using (2,1) we can solve for the y-intercept, "b"
1=-2(2)+b
1=-4+b
5=b
y=-2x+5
So f(x) has a y-intercept of 5
g(x)=6m+3
So g(x) has a y-intercept of 3
h(x)=3x+4
So h(x) has a y-intercept of 4
Then g(x) has the lowest y-intercept of just 3.
Answer:
-3y/5
Step-by-step explanation:
3/5y+(-6/5y)=
Since the denominator is the same, we can add the numerators
3y - 6y
----------------
5
-3y/5
Answer:
y = -3x + 1
Step-by-step explanation:
Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line: y - k = m(x - h) becomes y - 4 = -3(x + 1), or:
y = -3x - 3 + 4
y = -3x + 1 This is the same as answer choice (b).
Answer:
1/3
Step-by-step explanation:
Probability of solving ten problems by Carl
Given
Total number of problems = 20
Number of problems studied by Carl = 15
Number of problems out of the 20 set of problem coming in test is 10
Case I - All ten problems come from the set of known 15 question
10/15 * 10/20 = 1/3
Answer:
19.4 %
Step-by-step explanation:
The formula for<em> return on assets</em> (ROA) is
ROA = Net income /Total assets × 100 %
Since assets vary, we use the <em>average</em> of the total assets over the period.
<em>Calculate the average total assets</em>
At beginning of year, total assets = $263 000
At end of year, total assets = $313 000
Average = (313 000 + 263 000)/2
Average = 576 000/2
Average = $288 000
===============
<em>Calculate the ROA</em>
Net income = $56 000
ROA = 56 000/288 000 × 100 %
ROA = 0.194 × 100 %
ROA = 19.4 %
The company’s return on assets is 19.4 %.