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ki77a [65]
3 years ago
13

Determine the slope of the line represented by the equation: y = 7 x − 3

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0
The slope is 7
slope equation: y=mx+b
m=slope
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The average of any two consecutive even numbers in an even number. Find a counterexample.
pishuonlain [190]

Answer:

2 and 4

Step-by-step explanation:

2+4 = 6

6/2 = 3

average is sum of number divided by how many numbers there are.

6 0
2 years ago
Limit as x approaches infinity: 2x/(3x²+5)
Nonamiya [84]
\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\implies \cfrac{\lim\limits_{x\to \infty}~2x}{\lim\limits_{x\to \infty}~3x^2+5}

now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.

BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.

as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.

now, we could just use L'Hopital rule to check on that.

\bf \lim\limits_{x\to \infty}~\cfrac{2x}{3x^2+5}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}~\cfrac{2}{6x}

notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
5 0
3 years ago
Which inverse operation would be used to solve n – 7 = 15?
balu736 [363]
The inverse of subtraction is addition
3 0
2 years ago
Read 2 more answers
A gardener uses 144 feet of fencing to build a rectangular garden. The function A(w)=24w−w2 can be used to find the area of the
levacccp [35]

Answer:

The graph of the equation is shown in the picture attached below.

We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.

This means that for any value of the width greater than 12, the function cannot model the situation.

Making the equation only valid for

w ∈ [0,12]

3 0
3 years ago
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Andrew [12]

Answer:

B

Step-by-step explanation:

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