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3 years ago

describe the steps you would take to transform the equation 10x + 2y = 25 into the equation y = -5x + 25/2

1 answer:

4 0

$10x + 2y = 25$
Then rearrange the equation to get 10x on the same side as 25.

Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.

Continuing on once rearranged, your equation will look like,
$2y = - 10x + 25$

Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
$\frac{2y}{2} = \frac{ - 10x + 25}{2}$
Dividing both sides by 2, you will get,
$y = - 5x + \frac{25}{2}$
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.

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The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y

elena55 [62]

Answer:

1/0.7

Step-by-step explanation:

The expression x-y equals to 0.7 so we have to substitute 0.7 in the place of x-y....

----> 1/0.7

Dividing would make this equal to a long division answer (1.42857142857) so let's just leave it as a fraction!

I hope this helps! :)

5 0

2 years ago

100 points and brainest Plz help me PLZ

svp [43]

Answer:

○ C. The lines are perpendicular.

Step-by-step explanation:

In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:

− to +}

> OPPOSITE

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MULTIPLICATIVE INVERSE [RECIPROCAL]

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8 0

3 years ago

Read 2 more answers

The cost of fighting crime in a country increased significantly during the period 1982–1999. Total spending on police, courts, a

Mice21 [21]

Answer:

t→+[infinity] [ P ( t ) ] = $62.957 billion

t→+[infinity] [ f ( t ) ] = $143.214 billion

Step-by-step explanation:

Given:

- Total spending on police, courts, and prisons in the period 1982–1999 could be approximated, respectively,

P(t) = 1.743*t + 29.84 billion dollars (2 ≤ t ≤ 19)

C(t) = 1.096*t + 10.65 billion dollars (2 ≤ t ≤ 19)

J(t) = 1.917*t + 12.36 billion dollars (2 ≤ t ≤ 19)

Find:

- Compute lim t→+[infinity] for:

P ( t ) and P ( t ) + C ( t ) + J ( t )

Solution:

- The limit as t→+[infinity] for the above three function can be accounted for by considering the domain of each function.

- All functions : P ( t ) , C ( t ) , J ( t ) have the domain 2 ≤ t ≤ 19:

- So in other words, lim t→+[infinity] = lim t→19

- The limits are as follows:

lim t→19 [ P ( 19 ) ] = 1.743*19 + 29.84 = $62.957 billion

- The function f ( t ) is as follows:

f( t ) = P ( t ) + C ( t ) + J ( t ) = 4.756*t + 52.85 billion dollars

lim t→19 [ f ( 19 ) ] = 4.756*19 + 52.85 = $143.214 billion

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3 years ago

Given f(x) = 3x-4 and g(x)= -2x+7 evaluate g(f(-2))

aniked [119]

Answer:

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Step-by-step explanation:

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3 years ago

Who helps me with these integral calculus exercises?

klio [65]

$\int_{0}^{1}\frac{1}{1+x^2}dx$

The integral above is definite so we must first calculate for indefinite one.

$\int{\frac{1}{1+x^2}dx}$

Rule: $\int{\frac{1}{a^2+b^2}dx}=\frac{1}{b}\times\arctan(\frac{a}{b})$ .

Now we apply this rule and get:

$\int{\frac{1}{1+x^2}}=\frac{1}{1}\times\arctan(\frac{x}{1})$

Or just simply: $\arctan(x)$

Now we integrate:

$\arctan(x)\Big\vert_{0}^{1}$

$\arctan(1)-\arctan(0)$

$\frac{\pi}{4}-0\implies\boxed{\frac{\pi}{4}}$

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3 years ago