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nataly862011 [7]
2 years ago
10

HELP !!!. I need help with these questions( see image). Please show workings.

Mathematics
1 answer:
snow_lady [41]2 years ago
6 0

9514 1404 393

Answer:

  • a) 7
  • b) -27
  • c) 18
  • d) 8
  • e) 2
  • f) 1

Step-by-step explanation:

The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.

The limit of a rational function at a "hole" is the value of the simplified function at that point.

1a) lim = 4+3+2-2 = 7

1b) lim = (3)(-3)(3) = -27

1c) lim = 3^2+9 = 18

1d) lim = (x+4) = 4+4 = 8

1e) lim = 3x+1 = 3(1/3) +1 = 2

1f) lim = x^2/x^2 = 1

_____

The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.

As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)

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Please help me out............................
Alina [70]

Answer:

<h2>b = 15°</h2>

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

m∠QPR + m∠PRQ + m∠RQP = 180°

We have

m∠QPR = m∠PRQ and m∠RQP = 60°

Therefore

2(m∠QPR) + 60° = 180°       <em>subtract 60° from both sides</em>

2(m∠QPR) = 120°           <em>divide both sides by 2</em>

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180°            <em>subtract 90° from both sides</em>

2(m∠SPR) = 90°             <em>divide both sides by 2</em>

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b           <em>subtract 45° from both sides</em>

15° = b

3 0
3 years ago
Someone help it’s urgentttt.
Molodets [167]

Answer:

Step-by-step explanation:

4 0
2 years ago
The endpoints of `bar(EF)` are E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of `bar(EF)`?
Hoochie [10]

For a better understanding of the solution provided here please find the diagram attached.

Please note that in coordinate geometry, the coordinates of the midpoint of a line segment is always the average of the coordinates of the endpoints of that line segment.

Thus, if, for example, the end coordinates of a line segment are (x_{1}, y_1) and (x_2, y_2) then the coordinates of the midpoint of this line segment will be the average of the coordinates of the two endpoints and thus, it will be:

(\frac{(x_1+x_2)}{2}, \frac{(y_1+y_2)}{2})

Thus for our question the endpoints are (x_E, y_E) and (x_F, y_F) and hence the midpoint will be:

(x_M, y_M)=(\frac{(x_E+x_F)}{2}, \frac{(y_E+y_F)}{2})

Thus, Option C is the correct option.

6 0
3 years ago
Help me with this please (sorry for the bad picture) ​
Elenna [48]

<h2>I HOPE IT WILL HELP YOU.</h2>

THANK YOU.

<h2>^ - ^</h2>

4 0
3 years ago
Read 2 more answers
I need help on this and please explain why is that the answer thank you -Alexa :)
Rzqust [24]
First, you need to find the total amount they discounted.

3.66 X 3= $10.97

Since they took off that much, you need to add that to the total cost, which was 62. 31

62.31 + 10.97= $73.29

Finally, to find how much each individual shirt cost, you divided it by 3.

73.29 / 3= $24. 43

The answer is C

4 0
3 years ago
Read 2 more answers
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