Answer:
90 minutes
Step-by-step explanation:
Hey, there! This is a walking together question, let’s walk through it together.
Firstly, we assign a value for the volume of the swimming pool. Let’s say this is x m^3
While working together, their rate is x/30
Now, for the larger hose, it takes 45 minutes. The rate here is x/45. To find the rate at which the smaller hose takes, we simply subtract the rate of the larger hose from that of both while working together.
Mathematically this is x/30 - x/45 = 15x/1350
Now to calculate the time taken, we simply divide the volume by this rate and that is x divided by 15x/1350 or x * 1350/15x = 90 minutes
Answer:
Lets start with the given system of linear equations In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa). So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 ...
Step-by-step explanation:
The common features of the polynomial function f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 are
- Equal y-intercept at (0,6)
- Same end behavior as x approaches positive infinity
<h3>How to determine the common features?</h3>
The equation of the functions are given as:
f(x) = 2x² + 7x + 6
g(x) = 2^x + 5
Next, we plot the graph of both functions (see attachment)
From the graph, we have the following highlights
- The y-intercept of both functions is (0,6)
- Both functions approach positive infinity as x approaches positive infinity
Read more about function features at:
brainly.com/question/4025726
#SPJ1
5x^4=5000x
5x^4-5000x=0
5x^3-5000=0
x^3=1000
X=10
Answer:
-31/4
Step-by-step explanation:
= (1/4) - 6 * (6/3 - 2/3)
= (1/4) - 6 * (4/3)
= 1/4 - 24/3
= 1/4 - 8
= 1/4 - 32/4
= -31/4