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3 years ago

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared plus one.

1 answer:

5 0

Direct substitution allows us to put the limit value directly into he equation in question.
$\lim_{x \to 0} (x^{2} +1) = (0^{2}+1)=1$
So the answer is 1

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Evaluate (x+y)^0 For x=-3 and y=5

sesenic [268]

Any number, either positive or negative raised to the power of 0 is equal to 1.

${ \left( -3+5 \right) }^{ 0 }\\ \\ ={ 2 }^{ 0 }\\ \\ =1$

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3 years ago

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Please hurry it’s urgent

MrRa [10]

Answer:

$V=\pi r^2h\\V=\pi(5)^2(10)\\V=\pi(25)(10)\\V=250\pi\\V=785.4$

Estimated

Step-by-step explanation:

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How do you know if a coordinate on a graph is positive or negative?

Annette [7]

Negative Slope. If a line has a positive slope (i.e. m > 0 ), then y always increases when x increases and y always decreases when x decreases. Thus, the graph of the line starts at the bottom left and goes towards the top right. Thus, as x increases by 3 , y decreases by 4 , and as x decreases by 3 , y increases by 4 .

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3 years ago

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If a rectangle is altered by increasing its length by 20 percent and its width by 10 percent, its area increases by a percent. W

aleksklad [387]

Answer:

Step-by-step explanation:

Remember that the formula for the area of a rectangle is:

$A=lw$

Where l is the our length and w is our width.

If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:

$l_{new}=l+.2l$

Combine like terms:

$l_{new}=1.2l$

Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:

$w_{new}=0.1w+w$

Combine like terms:

$w_{new}=1.1w$

Therefore, our new area will be:

$A_{new}=(l_{new})(w_{new})$

Substitute 1.2l and 1.1w. This yields:

$A_{new}=1.2l(1.1w)$

Multiply:

$A_{new}=1.32lw$

Our old area is:

$A_{old}=lw$

So, our area increased by a factor of 1.32.

This is the same as 32% of our old area.

So, our answer is D.

And we're done!

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3 years ago

-3 1/2 - 2 1/3 explained

lakkis [162]

The answer is 5 5/6 simplified to the max.

rewrite the equation with separated parts

-3 1/2 - 2 1/3

-3 - 2 = -5

-1/2 - 1/3? u need to find the LEAST common denominator

-3/6 - 2/6 = -5/6

how did I get 6?

Rewriting input as fractions if necessary:
1/2, 1/3

For the denominators (2, 3) the least common multiple (LCM) is 6.

Therefore, the least common denominator (LCD) is 6.

Now lastly combine them total and its -5 - 5/6 = -5 5/6.

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3 years ago

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