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3 years ago

What is the limit as x approaches 2 of 1 / (x-2)^2?

1 answer:

6 0

The left and right bound limits of the function approach positive infinity, so the limit of this function as x approaches 2 is infinity.

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Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?

Rufina [12.5K]

Yes, Leslie is correct. Two such examples are 5*100, which is 500 (even) and 5*18, which is 90 (also even).

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2 years ago

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What is the surface area? 5 mm 4 mm 5 mm 6 mm 7 mm square millimeters

postnew [5]

Answer:

136 square millimeters

Step-by-step explanation:

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2 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Schach [20]

Answer:

ANSWER is B. look at the sides and simplified.

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2 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

= $6(j^2 - \frac{2}{3} j )+12$

= $$6(j^2 - \frac{2}{3} j + \frac{1}{9} )+\frac{102}{9}$ (Completing Square method)

= $6( j- \frac{1}{3} )^{2} + \frac{34}{3}$

On comparing with the given equation we get

p = - $\frac{1}{3}$ and q = $\frac{34}{3}$

∴ $\frac{q}{p}$ = $\frac{\frac{34}{3} }{\frac{-1}{3} }$

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

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7 0

1 year ago

Jsjjss pls help its uRGeNT

Sedaia [141]

Answer: y=7x

Step-by-step explanation:

The way I did it was, I looked at the chart. The highest it goes is 30 and 210. So for your answer, you have to multiply. 7x30 gives you 210 and there y=7x

5 0

2 years ago