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kow [346]
3 years ago
13

This is the last question on my test i need it done plz help

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:goodluck

Step-by-step explanation:$$$$

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Which of the following is the quotient of the rational expressions shown
Natali5045456 [20]

Answer:

2x^3/x+5/x-5/ 3x-1

2x^3/ 3x-1

Step-by-step explanation:

we can cut plus and minus sign

3 0
3 years ago
Read 2 more answers
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week
DENIUS [597]
<span>Part A: M = 12x. (x hours at the rate of $12/per hour) Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per hour plus y hours at the rate of $15 per hour) Part C: Let us first find out the amount earned through regular working hours and overtime hours. Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360 The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10 Total hours worked during the week = 30 + 10 = 40.</span>
3 0
3 years ago
Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it
aksik [14]

Answer:

C. The balance in her check register will be $116 over the balance on her bank statement.

8 0
3 years ago
What is the most direct use of a compass in geometric constructions?
Dmitry_Shevchenko [17]

The <em>correct answer</em> is:


To draw arcs of a given size.


Explanation:


A compass is a tool used to draw a circle. Since an arc is a part of a circle, the most direct use of a compass would be to draw arcs of a given size.

6 0
3 years ago
Read 2 more answers
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