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3 years ago

Please solve these for 20 points : solving formulas for a variable

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

6. (A/pi = r^2)
7. [(P - 2l)/2 = w]
8. [C/(2pi)= r]
9. (2A/h = b)
10. (E/c^2 = m)

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Pls help this is pretty urgent

KIM [24]

Answer:

(a) 0

(b) f(x) = g(x)

Step-by-step explanation:

Given rational function:

$f(x)=\dfrac{x^2+2x+1}{x^2-1}$

Part (a)

Factor the numerator and denominator of the given rational function:

$\begin{aligned} \implies f(x) & = \dfrac{x^2+2x+1}{x^2-1} \\\\& = \dfrac{(x+1)^2}{(x+1)(x-1)}\\\\& = \dfrac{x+1}{x-1}\end{aligned}$

Substitute x = -1 to find the limit:

$\displaystyle \lim_{x \to -1}f(x)=\dfrac{-1+1}{-1-1}=\dfrac{0}{-2}=0$

Therefore:

$\displaystyle \lim_{x \to -1}f(x)=0$

Part (b)

From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).

Part (c)

As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.

$\displaystyle \lim_{x \to 1^+} f(x)=\dfrac{\to 2^+}{\to 0^+}=\infty$

5 0

1 year ago

Read 2 more answers

Part B A different student claims that the expression 59.2xy is equivalent to the teacher’s expression. The student’s reasoning

nadya68 [22]

Answer:

I think the part he has correct is when they are equal because they intersect at a coordinate, but, he is incorrect because the teacher's expression could be different

Step-by-step explanation:

8 0

3 years ago

Seven pounds of grapes cost $10.43 how much would it cost for 3 pounds

lozanna [386]

1. Divide $10.43 by 7 to find out how much each pound of grapes costs.
$10.43/7=$1.49
2. Multiply $1.49 by 3 to find out how much 3 pounds of grapes would cost.
$1.49•3=$4.47
3. So, 3 pounds of grapes would cost $4.47

Hope this helps!

4 0

3 years ago

How do you solve this?

Murrr4er [49]

(2x+5+3)(x+1) is the answer, you have to factor, hope that helps :)

8 0

3 years ago

-5-(15Y-1)=2(7Y-16)=Y What does Y equal? Show work

iren [92.7K]

-5-(15Y-1) = 2(7Y-16)

-5-15Y+1 = 14Y-32

32-4 = 19Y

Y = 28/19

8 0

3 years ago