Answer:
<u>There are 24 orange balls and 130 green balls in the box.</u>
Step-by-step explanation:
Let orange balls be x and green balls be y.
y = 10+5x
x+y = 154
y = 154-x
Now,
y=10+5x
or, 154-x = 10+5x
or, 154-10 = 5x+x
or, 144 = 6x
so, x = 24
Now,
y = 154-x
or, y = 154-24
so, y = 130
<em>If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1</em>
<em>So the constant c is -2 and that means the value of f(-4) is</em>
<em>f(-4)=-2(-4)+3=8+3=11</em>
<em />
<em>Thus, the value of f(-4) is 11.</em>
<em />
<em>About why does "c" have to be -2, here's the proof.</em>
<em>Given y = f(x), therefore.</em>
<em>y=cx+3</em>
<em>Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3</em>
<em>1 - 3 = c and therefore, -2 = c #</em>
<em>So this is the proof that c = -2</em>
Answer:
D
Step-by-step explanation:
You are given two complex numbers -i and 2+i.
For the complex number z=x+iy, the ordered pair (x,y) represents this complex number on the coordinate plane.
So, the numbers:
is represented by the ordered pair (0,-1)
is represented by the ordered pair (2,1).
Plot these two points on the coordinate plane and coonect them with a straight line. You'll get the last option of graph.
Answer:
The answer to your question is given below
Step-by-step explanation:
From the question given above, the mean score is 23.
Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:
Mean deviation = | mean – Score |
Mean = 23
For Score 21:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 21 | = 2
For Score 22:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 22 | = 1
For Score 28:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 28 | = 5
For Score 29:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 29 | = 6
SUMMARY:
Score >> Mean >> Absolute deviation
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
28 >>>>> 23 >>>>> 5
29 >>>>> 23 >>>>> 6
Answer:

Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.