Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Hello and Good Morning/Afternoon!
<u>Let's take this problem step-by-step</u>:
<u>What the problem asks for:</u>
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
<u>Let's put that into action</u>:
<== <u>Answer</u>
<u></u>
Hopefully that helps!
The answer is 4. If the relay is 1/4 mile, and each person runs 1/16 mile, then to get the answer you divide 1/4 by 1/6 and get 4. 4 people would be needed to run this relay. Hope this helps! :)
We need 6.5% to a decimal so..
6.5% /100 = 0.065
$21.30 X 0.065 = 1.3845 tax on the shirt
So.. we add the price of the shirt, and the amount of tax on the shirt
$21.30 + 1.3845 = $22.6845
Answer = $22.68
The ordered pair that satisfies the given inequality is ( 4,-2)
Step-by-step explanation:
By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.
Please Mark this answer as brainliest, thank you :-)
