Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
y = (1/2)x + b
9 = (1/2)*(-10) + b
9 = -5 + b
b = 14
The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:
y = (1/2)x + 14
See attachment.
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:
Isolate x for 4x + 11y = 7 which ⇒ 
Substitute into the equation: which is:
Drop Down to:
Isolate y for 7-8y = -1: y = 1
Thus,
Substitute y = 1
Hence,
Solution ⇒ x = -1 and y = 1
<u><em>~learn with lenvy~</em></u>
Answer: The graph on bottom right
Step-by-step explanation:
It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.
Step-by-step explanation:
y = ax + b
I see already the result (y = x/10 × 1/6), but let's go in formally.
we have multiple function points to use to officially calculate a and b.
1/6 = a×10 + b
2/3 = a×40 + b
5/6 = a×50 + b
1 2/3 = a×100 + b
let's e.g subtract equation 1 from equation 3.
4/6 = a×40 + 0
a = 4/40 / 6 = 4 / 240 = 1/60
1/6 = 10/60 + b
1/6 = 1/6 + b
b = 0
so, the function is
y = x/60
x = 25
y = 25/60 = 5/12 cups
Answer:
<em>3.27*10^22</em>
Step-by-step explanation:
Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:
9.6x10^85/3x10^63
= (9.8/3) * (10^85/10^63)
= (9.8/3) * 10^{85-63}
= (9.8/3) *10^22
= 3.27 *10^22
<em>Hence the expression in scientific notation is 3.27*10^22</em>
