9514 1404 393
Answer:
-6
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (-4.5 -3)/(-3 -(-8)) = -7.5/5 = -1.5
Then the point-slope equation can be written as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -3 = -1.5(x +8) . . . equation of the line through the given points.
We want the value of x for y = 0, so ...
-3 = -1.5(x +8)
2 = x +8 . . . . . . . divide by -1.5
-6 = x . . . . . . subtract 8
The x-intercept of this linear function is x = -6.
_____
<em>Additional comment</em>
In slope-intercept form, the function can be written as ...
g(x) = -1.5x -9
Answer:
n=-5
Step-by-step explanation:
You must multiply
. The laws of exponents state that when multiplying exponents of the same base, you can just add the exponents and raise the base to the sum of the exponents. So,
. Since our end product is
, n is equal to -5.
Answer:
1:3
Step-by-step explanation:
5 is 1/3 of 15
hope this helps! :)
(0,16)
because the number on the x axis is 0 and the number on the y axis is 16
have a nice day and good luck with the rest of your homework!
Answer: 8/9 cups
Step-by-step explanation:
The word 'of' means 'times' as far as fractions are concerned. In this case, we have 1/3 of 2 1/3.
First, it is a good idea to make 2 1/3 an improper fraction - as 8/3, so now we have:
1/3 of 8/3, but since 'of' means 'times' we have,
1/3 x 8/3 = 8/9
The answer is 8/9 cups.