Answer:
p < -9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
4p - 1 < 3p - 10
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 3p on both sides: p - 1 < -10
- Add 1 on both sides: p < -9
Here we see that any number <em>p</em> less than -9 would work as a solution to the inequality.
Answer:
Q is not the midpoint of PR
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If Q is the midpoint of PR
then
PQ=QR
substitute the given values and solve for x

Remember that
----> given problem

substitute the value of x



Compare with the given value of PR

therefore
Q is not the midpoint of PR
0.2x+0.2+0.5x=-0.3x+1.2
0.7x+0.3x=1.2-0.2
x=1
That's your answer.
Y = 1/4 x - 2
=> a linear function => a straigh line
=> slope = the coefficient of x => slope = 1/4
=> x = 0 => the y-intercept = -2
=> y = 0 => 0 = 1/4 x - 2 =>x = 8 => point (8,0)
With all that information you can identify the graph because it is a straight line that passes through (0,-2) and (8,0), its inclination (slope) is 1/4, and the graph goes through the quadrants I, III and IV (there are no points in the quadrant II)..
Answer: b. $22.75
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then,
, m= cost per topping and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = 
For x= 2 and y= 17.50, we have

tex]3.50=m(2)[/tex] [Subtract 14 from both sides]
[Divide both sides by 2]
For c= 14 and m =1.75 , our function becomes.

Now, for x= 5

Hence, the cost of a pizza with 5 toppings = $22.75