3x(4x - 15) < Given
12x^2 - 45x < Distributive law of property
By the way, you are simplifying not solving. You solve equations and simplify expressions.
Answer:
55
Step-by-step explanation:
So lets take our 50 dollars.
Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.
Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:
50*1.05
=
52.5
52.5*1.05
=
55.25
So your answer is 55 dollars(rounding down).
Hope this helps!
Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ
= 
If a function is defined on the closed interval [a,b] and 
is any point in [
,], then a Riemann Sum is defined as ∑f()Δ.
For this question:
Δ = 
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29
- t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f()Δ = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f()Δ = 1.4(212.6)
∑f()Δ ≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.
Answer:
to simplify this it is 1295/1804
Step-by-step explanation:
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
