Step-by-step explanation:
Simple
4x2 = 64
Botg are squares so
2x = 8
x = 8/ 2
= 4
Option C is the correct
Answer:
Minimum
Step-by-step explanation:
In a box plot, A represents the minimum, B Q1, C represents the median, D represents Q3, and E represents the maximum. Therefore, A represents the minimum, which is 10.
Hi there!
2 2/3 + 1 1/2 = 4 1/6
Hope this helps!
Answer:
![y=-\frac{4}{3}x+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2B1)
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Perpendicular lines always have slopes that are negative reciprocals of each other (ex. -1/3 and 3, 1/2 and -2, etc.)
<u>1) Determine the slope (m)</u>
![y=\frac{3}{4} x - 6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B4%7D%20x%20-%206)
Looking at the given equation, we can identify clearly that
is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be
. Plug this into
:
![y=-\frac{4}{3}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2Bb)
<u>2) Determine the y-intercept (b)</u>
![y=-\frac{4}{3}x+b](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2Bb)
Plug in the given point (-3,5)
![5=-\frac{4}{3}(-3)+b\\5=4+b](https://tex.z-dn.net/?f=5%3D-%5Cfrac%7B4%7D%7B3%7D%28-3%29%2Bb%5C%5C5%3D4%2Bb)
Subtract 4 from both sides
![5-4=4+b-4\\1=b](https://tex.z-dn.net/?f=5-4%3D4%2Bb-4%5C%5C1%3Db)
Therefore, the y-intercept is 1. Plug this back into
:
![y=-\frac{4}{3}x+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2B1)
I hope this helps!
Answer: the solutions are
x = 3 or x = - 11
Step-by-step explanation:
The given quadratic equation is expressed as
y = 2x² + 16x - 66 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 2
b = 16
c = - 66
Therefore,
x = [- 16 ± √(16² - 4 × 2 × - 66)]/2 × 2
x = [- 16 ± √(256 + 528)]/4
x = [- 16 ± √784]/4
x = (- 16 + 28)/4 or x = (- 16 - 28)/4
x = 12/4 or x = - 44/4
x = 3 or x = - 11