Since we know x=6, replace all the x with 6 in the equation and then follow the PEMDAS rule. y= -2(6)^2 + 2(6) + 2 y= -2 (36) + 2 (6) + 2 y= -72 + 12 + 2 y= -60+2 y= -58
Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
Answer:
350 sq ft
Step-by-step explanation:
Given that:
840 sq ft area has a bedroom, kitchen and bathroom.
Let the area of bedroom be 
sq ft.
Then the area of kitchen will also be sq ft.
Let the area of bathroom be 
sq ft.
As per question statement:
Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.
i.e.
Subtracting equation (1) from (2):
i.e. (2) - (1):
sq ft
Putting the value of in (1):
Therefore, the carpet needed for each bedroom = <em>350 sq ft</em>
Answer:
Constant of Proportionality Equation
The constant of proportionality (k) equals the total price (y) divided by the number of cans (x). The second formula is a common alternate form of the constant of proportionality formula.
Step-by-step explanation:
