Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
Answer:
2000
nearest thousandth
if the last 3 digits are over 500 then it's rounding up
Answer:
And the best answer on this case would be:
b) m = 4.635
Step-by-step explanation:
Let X the random variable of interest and we know that the confidence interval for the population mean 
is given by this formula:
The confidence level on this case is 0.9 and the significance 
The confidence interval calculated on this case is 
The margin of error for this confidence interval is given by:
Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:
Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:
And the best answer on this case would be:
b) m = 4.635
Answer:
58
Step-by-step explanation:
Let's draw this out (see attachment).
We know that since B lies on AC, we have the points in order from left to right: A, B, C.
AB = 9, which is the left portion. BC = 49, which is the right portion. Then AC is simply the sum:
AC = AB + BC = 9 + 49 = 58
The answer is thus 58.
<em>~ an aesthetics lover</em>
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
Please mark my answers as the Brainliest if you find this helpful :)
