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schepotkina [342]
3 years ago
8

If x^2 - 16 > 0, which of the following must be true?

Mathematics
1 answer:
zimovet [89]3 years ago
5 0
The left hand side of the equation is a difference of two squares and may be factored out as follows,
                              (x - 4)(x + 4) > 0
They may be individually taken as,
                                     x - 4 > 0    ; x > 4
                                     x + 4 > 0   ; x < -4
Thus, the answer to this item is letter A. 
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A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not what is the cost for
charle [14.2K]

Answer:

Incomplete question

Complete question;

A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.

Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer: X = $82.695 for members

Y = $49.615 for non members

Step-by-step explanation:

Let's use X to denote members and Y for non-members.

Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430

X + 7Y = 430. . .1

Amount paid by 2 members to play + amount paid by one non-member to play = 215

2X + Y = 215. . .2

Solving both equations simultaneously

X+7Y = 430

2X +Y = 215

Therefore, from eqn 1. X = 430-7y

Substituting this into wan 2 gives

2(430-7Y) + Y = 215

860-14Y + Y = 215

860-215 =13Y

645 = 13y

Y = 49.615

Therefore substituting Y = 49.615 into any equation above

X + 7(49.615) = 430

X = 430-347.05

X = 82.695

3 0
3 years ago
A lawyer charges a $75 consultation fee and then $120 per hour thereafter.
Ainat [17]

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this,
\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

3 0
2 years ago
7-C=4<br><br><br> Hint: equation and rational coefficient
nalin [4]

Answer:

you stupid and dumb person

5 0
3 years ago
The record low temperature in California is -40°
Marrrta [24]
168 degrees difference
5 0
3 years ago
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What is m∠G ?<br><br> Enter your answer in the box.
Elena-2011 [213]
We are given all the angle measures, therefore we can equate all the expressions to 180 degrees. We can do this by using the Triangle Angle Sum Theorem, which states that all triangles' interior angles add up to 180 degrees. After we do that, we get:
x + 3x + 25 + x - 5 = 180
Now, just solve for x:
x + 3x + 25 + x - 5 = 180
5x + 20 = 180
5x = 160
x = 32
We've found the value of x, but the question asks us the measure of angle G. We can find the angle measure by substituting 32 into the expression for angle G. Doing so and simplifying gives us 121 degrees. Therefore, the measure of angle G is 121 degrees. Hope my answer has come of aid to you and have a great day!
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3 years ago
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