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
Read more about the linear equation here:
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Answer:
m= -1
I hope this helped, have a great day!! <3
Answer:
population standard deviation does not differ from 0.25
Step-by-step explanation:
The hypothesis :
σ² = 0.25²
σ² ≠ 0.25²
The Chisquare statistic, χ²: (n-1)*s²/σ²
Where s² = sample variance ; sample size, n = 30
Using calculator, the sample variance, s² = 0.1646
χ² = (n-1)*s²/σ²
χ²: (30 - 1) * 0.1646 / 0.25²
χ² = (29 * 0.1646) / 0.0625
χ² = 0.3292 / 0.0625
χ² = 5.2672
α = 0.05
Using the Pvalue from Chisquare calculator ; df = 29
Pvalue = 1
Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25
Answer:
A) The population in the year that she was born.
Step-by-step explanation:
The multiplier of an exponential function is the value that function has when the exponent is zero -- the initial value. The initial value of population in this context is the population in the year Adriana was born.
If u divide the area by length then u will get the width as x+4
