Answer:
x= 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1x+3=x+10x−2
x+3=x+10x+−2
x+3=(x+10x)+(−2)(Combine Like Terms)
x+3=11x+−2
x+3=11x−2
Step 2: Subtract 11x from both sides.
x+3−11x=11x−2−11x
−10x+3=−2
Step 3: Subtract 3 from both sides.
−10x+3−3=−2−3
−10x=−5
Step 4: Divide both sides by -10.
−10x/−10=−5/−10x=1/2
So
8 ounce=1 cup
2 cups=1pint
2 pints=1 quart
4 quarts=1 gallon
128 ounces in 1 gallon
so she needs to get 10 times 20 ounces (200 oz) so
she will need to purchase (200/128) 1.5625 gallons
normally you cannot purchase a fraction of a gallon so she sill have to purchase 2 gallons
Answer:
Binomial
Step-by-step explanation:
the polynomial has two terms 6xyz and xy
If it can be assumed that the total number paper and bags is the same for both orders, then:
#bags ordered in the spring=7*(150/3)=350, so the total of both is 150+350=500. A 5:5 ratio means that the wrapping paper and bags were bout in equal quantities. That means 500/2=250 for each.
I think there is a mistake in the question. If f(x) = (3 / 2)^x
, then
x f(x)
0 1
40 11057332.32
If the scale is 10 units to one inch, then you will need a paper size of 1105733.232 inches!
As a reference, a graph is included in attachments.
To get a linear function 2 points are needed. Assuming the equation g(x) = m*x and taking the points of the aforementioned table, we can compute the slope as
m = (f(x2) - f(x1))/(x2 - x1)
m = (11057332.32 - 1)/(40 - 0)
m = 276434.283
Function g(x) = 276434.283*x pass at points (0, 1) and (40, 11057332.32). h(x) = 276434.283*x + 2 fulfill the requirement that h(x) is greater than f(x), for all x such that 0 ≤ x ≤ 40, but f(41) > h(41), because at the next point, the exponential function will growths faster than linear function (see figure).