Answer:
ℝ
Explanation:
–6(n – 8) = 4(12 – 5n) + 14n
–6n + 48 = 48 – 20n + 14n
–6n + 48 = 48 – 6n ☑
These two expressions are EXACTLY the same, therefore <em>all</em><em> </em><em>real</em><em> </em><em>numbers</em><em> </em>of <em>n</em><em> </em>would make this equation true.
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Answer:
x = 5. y = 4
Step-by-step explanation:
7x - 4 = 31
7x = 35
x = 5
4y + 8 = 24
4y = 16
y = 4
Answer:
70
Step-by-step explanation:
the red lines mean the two sides are equal
so its an isosceles triangle meaning the two angles other than the 40° one are equal
the inner angles of a triangle must add up to 180
so 180-40 = 2x
140 = 2x
x = 140/2 = 70
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
$250
Step-by-step explanation:
The numbers in the table indicate a proportional relationship between earnings and hours worked. Among other things, that means you can find the earnings for 20 hours by using any table values that sum to 20 hours.
For example, 9 hours + 11 hours = 20 hours, so the earnings would be ...
$112.50 +137.50 = $250.00 . . . for 20 hours
You could also use 4×5 hours = 20 hours, so ...
4×$62.50 = $250 . . . for 20 hours
__
Or, you can figure ...
$37.50/(3 h) = $12.50/h
so the pay for 20 hours is ...
(20 h)×($12.50/h) = $250.00
