Answer:
Graph
Step-by-step explanation:
The simplest way to graph a linear equation is to make an x, y chart.
Plug in values for x ( 3 values for x works ), then find the y values and graph the cordinates.
Another way to graph the above line is to identify the slope and the y-intercept. Because the function is in slope-intercept form, we can readily see both ( slope intercept form is y= mx + b where m= slope and b= y-intercept )! So b= 75 and m= 15. So to graph the y-intercept, it is ( 0, b ) and just count the slope from that point!
To graph the equation y = 15x + 75, start by plotting the y-intercept (0,75). Then move 15 units up and 1 to the right from the intercept. Connect the points to create the graph.
To graph the equation y = 15x + 75, you need to recognize it as the linear equation in slope-intercept form, y = mx + b. In this equation, m (slope) is 15 and b (y-intercept) is 75.
Start by plotting the y-intercept which is at the point (0, 75) on the y-axis. Then, from that initial point, use the slope or 'rise over run,' to find the next points. Given the slope is 15 (or 15/1), you will go up 15 units and right 1 unit from the intercept to plot your next point. Continue this process until you have enough points to produce a straight line.
By connecting these plotted points, you create the graph of y = 15x + 75.
#SPJ2
Answer:
2/3
Step-by-step explanation:
Hope this helps
Answer:
2
Step-by-step explanation:
Convert mixed fraction to improper fraction
÷
÷
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2
A) x³+1
B) x³-1
C) x³
D) x²
E) x²+1
7 girls. What is the
probability of randomly
selecting a boy?
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5