The gradient of the graph is -1/3 and the y-intercept of the graph is 1
The equation of the line is y = -x/3 + 1
The shaded area represents y values less than or equal to the y values represented by the line.
This gives y ≤ -x/3 + 1
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
Answer:
They are complementary.
Step-by-step explanation:
QRT, QTR and RQT form a triangle. Since RQT is a right angle, it measures 90°. This means that the other two angles, QRT and QTR, must equal 180-90 = 90°. Complementary angles sum to 90°; this means that QRT and QTR are complementary.
amount she started with - 2*(2.95) = 5.46
A - 5.90 = 5.46
add 5.90 to each side
A = 11.36
