Step by step:
10x=110
1. Divide both sides by 10
10x/10 = 110/10
2. X= 11
Answer: x=11
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
<h3>What is the linear function which is as described?</h3>
It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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Answer:
<em>102°</em>
Step-by-step explanation:
(3x - 12)° + (2x + 2)° = 180°
5x - 10 = 180 ⇒ x = 38
m∠A = (3x - 12)°
<em>m∠A</em> = (3×38 - 12)° = <em>102°</em>
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
Answer:
17
Step-by-step explanation: