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VMariaS [17]
3 years ago
10

Find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

lim_{x \to 1} x^2 -8x -2 =-9

Step-by-step explanation:

For this case we want to find the following limit:

lim_{x \to 1} x^2 -8x -2

And we can find the limit distirbuting into each term like this:

\lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2

And replacing we got:

1^2 - 8*1 -2 = 1-8-2 = -9

So then the final answer for this case is:

lim_{x \to 1} x^2 -8x -2 =-9

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Use\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{7^{-4}}{7^{-9}}=7^{-4-(-9)}=7^{-4+9}=7^5
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3 years ago
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
Taya2010 [7]

Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?  

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

Step-by-step explanation:

Given:

Slope = m =\dfrac{1}{2}

point A(x₁, y₁)=(-2,1)  

To Find:  

Equation of Line  =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4 As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

6 0
3 years ago
Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the
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Answer:

$15 in debt

Step-by-step explanation:

Subtract 33 from 18

18 - 33

= -15

So, he will be $15 in debt

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The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he
zavuch27 [327]

Answer:

a) 0.2

b) 0.2

c) 0.5

Step-by-step explanation:

Let S be the event "the car stops at the signal.

In the attached figure you can see a tree describing all possible scenarios.

For the first question the red path describes stopping at the first light but not stopping at the second. We can determine the probability of this path happening by multiplying the probabilities on the branches of the tree, thus

P(a)=0.4\times0.5=0.2

For the second one the blue path describes the situation

P(b)=0.4\times 0.5=0.2

For the las situation the sum of the two green path will give us the answer

P(c)=0.6\times 0.5 + 0.4\times 0.5=0.3+0.2=0.5

7 0
3 years ago
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6.9ft
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