Answer:
9
Step-by-step explanation:
Given
p(x) = 5x² - 3x + 7 ← substitute x = 1
p(1) = 5(1)² - 3(1) + 7 = 5(1) - 3(1) + 7 = 5 - 3 + 7 = 9
Answer:
100 is 40% of 250
Step-by-step explanation:
1. We assume, that the number 250 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 250, so we can write it down as 100%=250.
4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.
5. Now we have two simple equations:
1) 100%=250
2) x%=100
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=250/100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 100 is what percent of 250
100%/x%=250/100
(100/x)*x=(250/100)*x - we multiply both sides of the equation by x
100=2.5*x - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40
now we have:
100 is 40% of 250
Easy
just find the slope between those 2 points
f(-6)=6
f(-3)=0
slope=rise/run=-6/3=-2
slope is -2
A is answer
Answer:
There are 20 booths and (38 - 20), or 18, tables
Step-by-step explanation:
Represent the number of tables with t and the number of booths with b.
We need to find the values of t and b.
(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")
t + b = 38 (units are "seating units")
Solving the second equation for t, we get 38 - b = t.
Substitute 38 - b for t in the first equation:
(6 people/table)(38 - b) + (4 people/booth)b = 188
Then solve for b: 6(38) - 6b + 4b = 188, or:
228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)
There are 20 booths and (38 - 20), or 18, tables.
Answer:
4 11/16 m²
Step-by-step explanation:
The formula for the area of a rectangle = Length × Width
From the question:
Length = 1 1/4 m
Width = 3 3/4m
Area of the rectangle =
1 1/4 m × 3 3/4 m
= 5/4 m × 15/4 m
= 75/16 m²
= 4 11/16 m²
Area of the rectangle = 4 11/16 m²
