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julsineya [31]
3 years ago
12

What is the value of the expression below when w = 5? 2w2 – 2w + 3

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

43

Step-by-step explanation:

2(5^2)-2(5)+3

50-10+3

43

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In ΔQRS, q = 1.3 inches, r = 1.6 inches and ∠S=157°. Find the length of s, to the nearest 10th of an inch.
hjlf

Answer:

2.8

Step-by-step explanation:

using cosine rule

s^{2} = 1.3^{2} + 1.6^{2} - 2(1.3)(1.6)cos 157

s = \sqrt{8.0793} = 2.842 = 2.8

8 0
3 years ago
9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose
Vadim26 [7]

Answer:

Per ounce better buy is <em>Happy popcorn</em>.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

Discount coupon present with Gabe = 40 ¢ = $0.40

To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = \frac{\$0.99}{16} = $0.062

Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39

Price for 1 ounce of Popper popcorn after discount = \frac{\$2.39}{34} = $0.070

Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.

Therefore per ounce better buy is <em>Happy popcorn</em>.

6 0
3 years ago
Which numbers have the same absolute value? Choose all that apply. ASAP
Vitek1552 [10]
I'm not sure which numbers you are referring to, but 3 has the same absolute value as -3, and 7 has the same absolute value as -7, just for an example.
3 0
3 years ago
FINAL DUE IN 30 MINUTES: the equation 2y + x = 0 is shown on the graph below as a
julia-pushkina [17]

Answer:

Red line

Step-by-step explanation:

2y+x=0

2y=-x

y=-x/2

Put the equation into y=mx+b so you would need to subtract the x to put it on the right side so then you’ll have 2y=-x+0 then divide by 2 to get the y by itself then you’ll have y=-2x+0 that means the line would be negative and the y-intercept is 0 and the only line that follows that is the red line.

6 0
2 years ago
Pls help this is pretty urgent
KIM [24]

Answer:

(a)  0

(b)  f(x) = g(x)

(c)  See below.

Step-by-step explanation:

Given rational function:

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

<u>Part (a)</u>

Factor the <u>numerator</u> and <u>denominator</u> 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

<u>Part (b)</u>

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).

<u>Part (c)</u>

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
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