Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form:
m - slope
b - y-intercept → (0, b)
We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.
Therefore we have the equation:
Put the coordinates of x-intercept to the equation:
<em>subtract 4m from both sides</em>
<em>divide both sides by (-4)</em>
Finally we have the equation of a line if slope-intercept form:
The standard form:
Convert:
<em>multiply both sides by 4</em>
<em>add 5x to both sides</em>
Answer: C. 4:1
If we double all the lengths, the area increase by a factor of 2².
Answer:
1 2 5 . 6 9
1 2 5 . 6 7 0
125.69 Would be Greater.
Step-by-step explanation:
First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.
Answer:
Step-by-step explanation:
information from the range
If the range is 26 and the largest number is 31 then the smallest number is 31 - 26 = 5
Information from the median
The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must be 15 as well..
So what do we know so far.
5 15 15 31
Information from the mean
There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96
What do we have so for?
5 + 15 + 15 + 31 = 66
What do the other two numbers sum to?
96 -66 = 30
Getting the answer.
The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).
So now we have
5 13 15 15 ___ 31
But from the mean we need 30
30 - 13 = 17
And we have a winner because 17 is above 15.
Answer
5 13 15 15 17 31
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
