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
A. multiply all the numbers together to find the possible outcomes
4 x 4 = 16
There are 16 different jacket-shirt outfits Ardell have.
They will not be the same color = 4 x 3
4 x 3 = 12
12/16 = 0.75, or a 75% chance they will not be the same color
hope this helps
Answer:
The percentage of the number of marching band members increased by 16% this year.
Step-by-step explanation:
x 100% = 16%
56 is 16% of 350
Writing in scientific notation is writing in power form.
Writing in power form is usually in the form:
X.y × 10ⁿ
We now write 3 920 000 000 000 in this form.
3.92 × 10¹²
Answer :
3.92 × 10¹²
This is the scientific notation.
Hope I helped :)
Answer:
The inequality for amount x (in dollars) is given by
x ≤ $33 - (cost of necklace).
Step-by-step explanation:
Let the cost of the necklace be $ y.
The amount for the necklace is constant and it is less than $33 and it is also known that the amount for the necklace will be spent.
Therefore after the necklace has been purchased and the amount deducted from $33 the remaining amount can be used completely or partly to purchase the other item.
Let the cost in dollars of the other item be $x.
The inequality for amount x (in dollars) is given by
x ≤ $33 - (cost of necklace)
