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Alex17521 [72]
4 years ago
5

Find the limit of the function algebraically.

Mathematics
1 answer:
Archy [21]4 years ago
8 0
Lim x->0 (-7+x)/x^2
just plug in x = 0

(-7+0)/0
now this fraction is a negative number divided by 0.
So, it equals -infinity.

The limit value is infact -infinity,
but from the given option, "Does Not Exit" is the best choice.
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Solve for X<br> 3(x + 7) &lt; 7(x + 2)
Furkat [3]

Answer:

x > 7/4

Step-by-step explanation:

3(x + 7) < 7(x + 2)

Expand brackets:                 3x + 21 < 7x + 14

Subtract 14 from both sides:  3x +7 < 7x

Subtract 3x from both sides:         7 < 4x

Divide both sides by 4:              7/4 < x

Therefore x > 7/4

5 0
2 years ago
Read 2 more answers
Use the substitution method <br> Y=-2x+11 y=-3x+21
gogolik [260]

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Y = 2 y /3 − 3


x = − y /3 + 7


Hope this helped!

6 0
4 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
5x – (13 – x) &gt;_9x – 7
ad-work [718]

Answer:

x<_2

Step-by-step explanation:

first off solve this like a regular equation the >_ dosent matter till later

so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)

so its 5x-13+x>_9x-7

add 5x and x to get 6x-13 on one side

then you get 6x-13>_9x-7 then subtract -9x from both sides

so its now -3x-13>_-7 add 13 so you get -3x>_6

then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2

that your final answer hope this helps :)

6 0
3 years ago
Find the value of X. Round the length to the nearest tenth.
Nataliya [291]

Answer:

5.5 yd

Step-by-step explanation:

The angle opposite to x is 20°

Reason: Alternate interior angles are equal

\frac{x}{15} = tan 20°

x = 15 × tan 20° = 5.459553514 yd

That is 5.5 yd (answer rounded off to nearest tenth).

3 0
3 years ago
Read 2 more answers
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