One pair of opposite sides both parallel and congruent implies a parallelogram.
First we rewrite the functions:
y = 2x
y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
For x = 1 we have:
y = 2 (1) = 2
y = (1) ^ 10 = 1
We note that:
2> 1
Answer:
Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.
Answer:
The bill will be $26070.
Step-by-step explanation:
Your base plan costs you $30 a month
And each text sent or received is only 12 cents or $0.12.
Let the messages sent be = x
So, cost for messages become = 
Let total bill cost be = y
Now, total bill will comprise of monthly plan charges plus message charges.
So, equation forms:

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.
So, their approximate bill will be :

=>
=> y = 26070
Therefore, bill will be $26070.
Answer:
The correct answer is option A. 90°
Step-by-step explanation:
<u>Points to remember</u>
Measure of angles on the semicircle is 90°
From the figure we can see a semicircle and a triangle inscribes on it.
<u>To find the measure of <XYZ</u>
Here <XYZ is on the semicircle that is angle XYZ is a right angle.
Therefore m<XYZ = 90°
The correct answer is option A. 90°
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative