Answer:
(y + z)(y + 4z)
Step-by-step explanation:
![{y}^{2} + 5zy + 4 {z}^{2} \\ = {y}^{2} + zy + 4zy + 4 {z}^{2} \\ = y(y + z) + 4z(y + z) \\ = (y + z)(y + 4z)](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%2B%205zy%20%2B%204%20%7Bz%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%20%7By%7D%5E%7B2%7D%20%2B%20zy%20%2B%204zy%20%2B%204%20%7Bz%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20y%28y%20%2B%20z%29%20%2B%204z%28y%20%20%2B%20z%29%20%5C%5C%20%20%3D%20%28y%20%2B%20z%29%28y%20%2B%204z%29)
Answer:
<em>Mode</em>
Step-by-step explanation:
A central tendency measure (also referred to as center or central place measure) <em>
is a descriptive measure that tries to define a whole collection of information with a single variable representing its distribution center or middle.
</em>
There are three primary key trend measurements: mode, median and the mean.
The mode <em>is a distribution's most common value.</em>
The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
Answer:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(
Answer:
The value of f out of given expression
is ![\frac{\pm 1}{4}\sqrt{\frac{d}{e}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpm%201%7D%7B4%7D%5Csqrt%7B%5Cfrac%7Bd%7D%7Be%7D%7D)
Step-by-step explanation:
Given : expression ![d=16ef^2](https://tex.z-dn.net/?f=d%3D16ef%5E2)
We have to solve for f.
Consider the given expression ![d=16ef^2](https://tex.z-dn.net/?f=d%3D16ef%5E2)
Divide both side by 16e, we get,
![\frac{d}{16e}=f^2](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B16e%7D%3Df%5E2)
Now, taking square root, both sides, we have,
![\sqrt{\frac{d}{16e}}=\sqrt{f^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bd%7D%7B16e%7D%7D%3D%5Csqrt%7Bf%5E2%7D)
Simplify, we get,
![\sqrt{\frac{d}{16e}}=f](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bd%7D%7B16e%7D%7D%3Df)
We know
, we get,
![\frac{\pm 1}{4}\sqrt{\frac{d}{e}}=f](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpm%201%7D%7B4%7D%5Csqrt%7B%5Cfrac%7Bd%7D%7Be%7D%7D%3Df)
Thus, The value of f out of given expression
is ![\frac{\pm 1}{4}\sqrt{\frac{d}{e}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpm%201%7D%7B4%7D%5Csqrt%7B%5Cfrac%7Bd%7D%7Be%7D%7D)