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Alenkasestr [34]
2 years ago
11

a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hou

rs will it take to fill it using only a garden hose that delivers 630 gallons of water per hour
Mathematics
1 answer:
labwork [276]2 years ago
3 0
So I looked it up and it says something about 8 hours
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The population of Minnesota in thousands, t years since 2000 can be represented by P=37t+4934.
pychu [463]

Answer(A):

Given that the population of Minnesota in thousands, t years since 2000 can be represented by equation:

P=37t+4934

P-intercept means value of P when t=0

P=37*0+4934

P=0+4934

P=4934

Hence P-intercept is 4934. Which means that population of Minnesota in year 2000 was 4934.


Answer(B):

t-intercept means value of t when P=0

0=37t+4934

-4934=37t

divide by 37

-4934/37=t

-133.351351351 = t

Hence t-intercept is -4934/37 which is approx -133. Which means that population of Minnesota in year (2000-133) that is in year 1867 was 0.

5 0
3 years ago
Determine the value of y when x=15 if y=6 when x=30
swat32
I THINK the answer is 12
6 0
3 years ago
Area of hexagon please help
podryga [215]

\frac{ 3\sqrt{3} }{2}  \times a {}^{2}  \\  \\   \frac{ \sqrt{27} }{2} \times 7 {}^{2}  \\  \\ \frac{ \sqrt{27} }{2} \times 49 \\  \\  = 127.31cm {}^{2}

<h3>So Option D=127.3cm²</h3>

<h3>Hope This Helps You </h3>

3 0
3 years ago
How can linear equations and functions be written and graphed? Explain how shifting the graph changes the function.
suter [353]
Linear equations are written as y = C1x + C2 where C1 & C2 are constants. They are graphed by plugging in numbers for y or x and solve for the other. For example if you have an equation y = 3x + 6 you then for y = 1 you have 1 = 3x + 6 -> x = -5/3 you then take the two coordinates (-5/3,1) and plot the point do this for further numbers and connect the points with a straight line. Shifting the graph up or down will change the value of C2 and shifting the graph left or right will change C1.
7 0
3 years ago
If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
2 years ago
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