Answer:
- B. When the peak temperature is 40°C, 72 units of electricity are used on average.
Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
<u>Approximate points:</u>
<u>The slope of the line:</u>
- m = (54 - 34)/(34- 30) = 20/4 = 5
<u>The line is:</u>
- y - 34 = 5(x - 30)
- y = 5x - 116
<u>At x = 40, the value of y would be:</u>
The closet option is B
Hello :
<span>-3 = x² + 4x+ 1
x²+4x+4=0
a=1 and b= 4 c= 4
</span><span>b^2 - 4ac = (4)²-4(1)(4) =0
one solution : -b/2a = -4/2 = -2
note : </span>x²+4x+4=0
(x+2)² = 0
x+2 = 0
x= -2
Here, we have to examine the equation of the straight line which is denoted by: y = m x +c where "m" is the slope which represents the steepness and c is the y-intercept
Here, the two linear functions have the same slope "m" and the same y-intercept "c". When both these are the same, the two linear functions are representing the same straight line.
Therefore, Jeremy is correct in his argument.
15x-6+x-3=39
16x-9=39
16x=39+9
16x=48
x=48/16
x=3
Answer:
(x + 6)² + 16 = 0
Step-by-step explanation:
To complete the square we will first need to get our equation to look like: x² + bx = c
Here we have x² + bx + c = 0 → x² + 12x + 52 = 0
- First we need to subtract our c, in this case 52, from both sides to get x² + 12x = -52
- We then need to add
to both sides of the equation - Here our b value is 12, so plugging this into our formula we get
- Adding 36 to both sides our equation becomes: x² + 12x + 36 = -52 + 36
- Then combining like terms on the right side we get x² + 12x + 36 = -16
- Now making our left side of the equation into a perfect square we get: (x + 6)² = -16
- Finally adding the 16 to both sides of the equation we get: (x + 6)² + 16 = 0
