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zaharov [31]
3 years ago
14

What is the order of operation of 100 + 6² - 9

Mathematics
1 answer:
Kipish [7]3 years ago
6 0
Okay so you would use PEMDAS (parentheses, exponents, multiply, divide, add, and subtract) so there are no parentheses so you do the exponents
{6}^{2}  =  36
then you do the rest so 100+36=136 and then 136-9=127 so the answer is 127
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What does the constant term in the numerator represent?
Yakvenalex [24]

Answer:

A constant in math is a value that doesn't change. Instead, it's a fixed value. All numbers are considered constant terms.

4 0
2 years ago
find the equation of a line that passes through (-3,1) and (-1,-2) and write it in standard form. please help me !
Savatey [412]
Find the slope first
slope=(2-1)/(-1+3)=1/4=.25

now use the slope and either point to write in point slope form
y-1=.25(x-2)
y-1=¼x-½

to rationalize all the denominators multiply by the last common multiple, here we get 4
4y-4=x-2

then put in the correct order

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8 0
3 years ago
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
The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournamen
Fofino [41]
They're both true.  Both statements, together, make one
single fancy way of saying "Only one man can win.".
7 0
3 years ago
What Number Is 10,000 Less Than 337,676
stepladder [879]
Look at the ten thousands place in 337,676.  It is 3. Take one away from it to get the answer.  It is 327,676.
5 0
3 years ago
Read 2 more answers
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