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2 years ago

What is the y intercept of y= -3x

Mathematics

2 answers:

lbvjy [14]2 years ago

8 0

Answer:

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

tatuchka [14]2 years ago

3 0

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

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Alex borrowed $12.50 from his friend Danilo. He paid him back $8.75. How much does he still owe?

Arisa [49]

$3.75 Because $12.50 - $8.75=$3.75

7 0

3 years ago

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leonid [27]

Answer:

m》9

Step-by-step explanation:

-1/3 m 《-3

Multiply both sides by -3

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2 years ago

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Evaluate the indefinite integral. integar x4/1 + x^10 dx

ivann1987 [24]

Answer:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

Step-by-step explanation:

Given

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Required

Integrate

We have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Let

$u = x^5$

Differentiate

$\frac{du}{dx} = 5x^4$

Make dx the subject

$dx = \frac{du}{5x^4}$

So, we have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

$\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}$

$\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du$

Express x^(10) as x^(5*2)

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du$

Rewrite as:

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du$

Recall that: $u = x^5$

$\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du$

Integrate

$\frac{1}{5} * \arctan(u) + c$

Substitute: $u = x^5$

$\frac{1}{5} * \arctan(x^5) + c$

Hence:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

7 0

2 years ago

frez [133]

Answer:

0.13

Step-by-step explanation:

0.13 is the correct answer

5 0

2 years ago

David express company was asked to deliver 325 boxes of apples. according the rule, the delivery fee is

Andrew [12]

Answer:

22 boxes were lost. Look for the happy squirrels.

Step-by-step explanation:

Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:

($25)*(325) = $8125

The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)

But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:

Resulting Income: $8125 - ($100)x = $5925

$8125 - ($100)x = $5925

-100x = -2200

x = 22 boxes were lost. Zounds! [A metric term for %$%^&]

===================

Check: Does the loss of 22 of the 325 boxes result in a total payment of $5925?

Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575

Penalty of $75 per lost box: 22*($75) = $1650

Result: $7575 - $1650 = $5925 YES

3 0

1 year ago