Answer:
y = -3x
Step-by-step explanation:
(a) Slope
y = mx + b
Choose points (-3, 9) and (3, -9)
m = (-9 - 9)/(3 – (-3))
m = -18/(3 + 3)
m = -18/6
m = -3
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(b) y-intercept
y = mx +b
Choose point (0,0).
0 = 0 + b
b = 0
=====
(c) Equation of line
y = mx + b
y = -3x
Answer:
Step-by-step explanation: So the first 25 multiples of 10 are ,
10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!
Answer:
is the required equation.
Step-by-step explanation:
If represents the number of feet and represents the number of inches, we get the given statement "2 inches = 3 feet" in mathematical equation as:
Solving this equation for will give us the required equation.
Actual dimensions are:
We are going to solve this problem two ways:
Solution 1. Graphical
If you plot the equation of temperature
for x between 0 and 160 minutes you'll get the plot in the attachement.
The blue curve represents the variation of the temperature in time. Notice that it crosses the red line (132 degrees <span>Fahrenheit</span>) twice, at around 20 F and 70 F.
So the answer is yes, if will reach 132 F.
Solution 2. Analytical
In order to see if the variation of temperature y(x) intersects 132 F line means to solve the equation:
Step 1. Write the equation in the quadratic form:
Step 2. Calculate the discriminant:
Only by looking at the discriminant we can see that it is positive, which means that it crosses the 132 F line in two points, which also means that there are two roots of the equation, both real numbers.
Step 3 (optional). Calculate the roots of the equation.
As you can see, tha analytic solution matches the graphic solution. At time x=20.5 minutes the temperatures reaches 132 F and is still rising. At time x=69.5 minutes the temperature is again 132 F but this time is decreasing.
2 6/7 ÷ 2/3
= 20/7 ÷ 2/3
20/7 × 3/2
= 60/14
reduce to it's lowest term
30/7 = 4 2/7