Often the easiest method of solving a quadratic equation is by factoring. Factoring means finding expressions that can be multiplied together to give the expression on one side of the equation. ... The equation x2+x−6=0 x 2 + x − 6 = 0 is in standard form.
The 1st, 4th, and 7th terms make an arithmetic sequence of their own. The 4th term is the average of the 1st and 7th, so ...
(1st +7th)/2 = 4th
1st + 7th = 2×4th
1st = 2×4th - 7th
The first term is ...
2*141 - 132 = 150
Dr. Hoover allot his time on Tuesday for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)
On Wednesday appointment, he allot his time for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)
solution
Let us assume, minutes for annual checkup denoted as x and
minutes for sick visit denoted as y
The equation of Tuesday visit is
The equation of Wednesday visit is
by changing the signs of the equation 2 and subtract it from the equation 1 we will get 1y = 21 minutes
to substitute y =1 in the equation 2 we get
then now we have substitute both x = 49 and y= 21 in equation ----- 2
we will prove that
so the Tuesday appointment , the time allotted for an annual checkup is 147 minutes and for a sick visit is 42 minutes (Total 189 minutes)
On Wednesday appointment, the time allotted for an annual checkup is 147 minutes and for a sick visit is 21 minutes (Total 168 minutes)
Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
Answer:
6.52
Step-by-step explanation: