Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
![5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\](https://tex.z-dn.net/?f=5x%5E2-%202x%20%3D%202%5C%5C5x%5E2%20-%202x%20-%202%20%3D%200%5C%5C)
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
![25x^2 - 10x - 10 = 0\\](https://tex.z-dn.net/?f=25x%5E2%20-%2010x%20-%2010%20%3D%200%5C%5C)
Now we'll add 11 to both sides:
![25x^2 - 10x + 1 = 11\\](https://tex.z-dn.net/?f=25x%5E2%20-%2010x%20%2B%201%20%3D%2011%5C%5C)
Which makes the left side a perfect square:
![(5x - 1)^2 = 11](https://tex.z-dn.net/?f=%285x%20-%201%29%5E2%20%3D%2011)
And now we can solve for x:
![(5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}](https://tex.z-dn.net/?f=%285x%20-%201%29%5E2%20%3D%2011%5C%5C%5C%5C5x%20-%201%20%3D%20%20%5Csqrt%7B11%7D%20%5C%5C%5C%5C5x%20%3D%201%20%2B%20%5Csqrt%7B11%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B1%20%2B%20%5Csqrt%7B11%7D%7D%7B5%7D)
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
![x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%20-%20%5Csqrt%7B11%7D%7D%7B5%7D%5C%5C%5C%5Cx%20%5Capprox%20%5Cfrac%7B1%20-%203.32%7D5%5C%5C%5C%5Cx%20%5Capprox%20%5Cfrac%7B-2.32%7D5%5C%5C%5C%5Cx%20%5Capprox%20-0.46)
Answer: [D]: y = -3x + 2 .
__________________________________________________
Answer:
7
Step-by-step explanation:
10 x 2 = 20
10 - 3 = 6
Answer:
<h2><em><u>x = -17.5</u></em></h2>
Explanation:
-8x = 140
-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
x = -17.5