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3 years ago

I need details on how to solve this problem please

Mathematics

2 answers:

Radda [10]3 years ago

7 0

I hope I answer your question

Dafna1 [17]3 years ago

7 0

Answer:

P = 5

Step-by-step explanation:

given that P is inversely proportional to w then the equation relating them is

P = $\frac{k}{w}$ ← k is the constant of variation

To find k use the condition P = $\frac{10}{13}$ when w = $\frac{1}{8}$

k = Pw = $\frac{10}{13}$ × $\frac{1}{8}$ = $\frac{10}{104}$ = $\frac{5}{52}$

Hence

P = $\frac{5}{52w}$ ← equation of variation

When w = $\frac{1}{52}$ then

P = $\frac{5}{52(1/52)}$ = $\frac{5}{1}$ = 5

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G=x-c/x. for x how do yoy make this an equation for x? help

zzz [600]

1.
$\displaystyle \text{if }\quad G=x- \frac{C}{x} \\\\$

$x \neq 0$

Multiply both sides by x:

$\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C$

Subtract from both sides Gx:
$Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0$

Then solve this equation:

$\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm \sqrt{G^2+4C} }{2}$

2.
$\displaystyle\text{if}\quad G= \frac{x-C}{x}$

$x \neq 0$

Multiply both sides by x:

$Gx=x-C$

Subtract from both sides Gx:

$x-C-Gx=0$

Then solve this equation:

$\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}$

7 0

2 years ago

Kari is adding a ribbon border to the edge of her kite. Two sides of the kite measure 9.5 inches each, and the other two sides m

Softa [21]

17.8 multiplied by 2 is 35.6
9.5 multiplied by 2 is 19
Now you take both of them and add them together.
35.6 + 19 = 54.6

Your answer should be 54.6 inches of ribbon.

Hope this helps.

8 0

3 years ago

An inlet pipe can fill an empty swimming pool in 5 hours, and another inlet pipe can fill the pool in 2 hours. How long will it

stich3 [128]

Answer:

1.42 hours

Step-by-step explanation:

In this case we must take into account that the speed would be to fill a pool for a time, that this case is in hours, therefore it would be like this:

1/5 for the first pipe

1/2 for the second pipe

Now, we will use both at the same time, therefore:

1/5 + 1/2 = 1 / x

0.7 = 1 / x

x = 1 / 0.7

x = 1.42

That is to say that if we use both we will take a total of 1.42 hours

3 0

3 years ago

HELP!!! PLEASE!!!!

Makovka662 [10]

Answer:

y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (Writing it out is important):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a systems of equations using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

c = 7

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b + (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that c = 7, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0

3 years ago

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lions [1.4K]

Answer:

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2 years ago

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