The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).
<h3>Linear Function</h3>
A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
- a= the slope;
- b=the constant term that represents the y-intercept.
The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.
Thus,
- For x= -2, the value of y will be:
16*(-2)+4y=12
-32+4y=12
4y=12+32
4y=44
y=11
- For x= -1, the value of y will be:
16*(-1)+4y=12
- -16+4y=12
- 4y=12+16
- 4y=28
- y=7
- For x= 0, the value of y will be:
16*(0)+4y=12
- For x= 1, the value of y will be:
16*(1)+4y=12
- 16+4y=12
- 4y=12-16
- 4y=-4
- y= -1
- For x= 2, the value of y will be:
16*(2)+4y=12
- 32+4y=12
- 4y=12-32
- 4y=-20
- y= -5
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The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.
<h3>How to find an equation?</h3>
She earn 20 dollars for each hours she tutors.
E = earnings in dollars
H = hours of tutoring
The equation relating E and H are as follows:
E = 20H
Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;
E = 20H
E = 20 × 15
E = 300 dollars
Therefore, Amy's tutoring for 15 hours is 300 dollars.
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Answer:
We need a more clearer image all we have are add subtract and multiply and there are no definitions or numbers
Step-by-step explanation:
We need a more clearer image all we have are add subtract and multiply and there are no definitions or numbers
Answer:
a₇₄ = - 209
Step-by-step explanation:
There is a common difference between consecutive terms , that is
79 - 83 = 75 - 79 = - 4
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 83 and d = - 4 , then
a₇₄ = 83 + (73 × - 4) = 83 + (- 292) = 83 - 292 = - 209
