Answer:
1
Step-by-step explanation:
slope (k) is the rise over run of the line
a way of finding the slope if you have two dots of the line is:
![k \: = \frac{y2 - y2}{x2 - x2}](https://tex.z-dn.net/?f=k%20%5C%3A%20%20%3D%20%20%5Cfrac%7By2%20-%20y2%7D%7Bx2%20-%20x2%7D%20)
here the dots that belong to the line that you can most easily see are:
A(-6,0)
B(0,6)
by inserting the values into the euquation you get:
![\frac{6 - 0}{0 - ( - 6)} = \frac{6}{6} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%20-%200%7D%7B0%20-%20%28%20-%206%29%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B6%7D%20%20%3D%201)
good luck with your maths solving
Answer:
B, D and also E
Step-by-step explanation:
Using order of operations, the answer is 569.
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23
now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4
since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23
now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9
plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14
there are 9 red marbles and 14 yellow marbles!