Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
74 pages/hour
Step-by-step explanation:
The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.
At the end of 3 hours, 90 pages were read.
At he end of 5 hours, 238 pages were read.
Difference in hours: 5 hours - 3 hours = 2 hours.
Difference in pages: 238 pages - 90 pages = 148 pages
The average rate of change is the difference in pages divided by the difference in hours.
average rate of change = (148 pages)/(2 hours) = 74 pages/hour
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode
Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1
Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]
Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
</span>
Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.
By definition, i² is -1.
Do the multiplications.
Now cancel -30i & +30i
Now the equation becomes
________
Hope it helps.
ŕάίήвόώşάĻţ2²2²
I believe the answer they're looking for is 3, but it's hard to tell, because there's a negative sign before the box, and a polynomial cannot contain a negative exponent.
Ignoring that sign though, the answer should be 3 because Polynomials typically have a term with each degree up to the maximum of the polynomial.
In this polynomial, there is a term with degree 4, degree 2, and degree 0, but none for degree 3 or 1. Because of this, the only acceptable answer is 3.
