p=3
1=6p-9+40-16p (simplify and distribute)
1=-10p+31 (combine)
10p/10=30/10 (isolate p and divide by 10)
p=3
*anyways can you answer my survey questions on my profile?
Answer:
108
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (flat angle). So 180-72 = 108
Answer:
The resistance of the heater is 44 ohms.
Step-by-step explanation:
Given that,
Voltage of electric heater, V = 440 volts
Current drawn by the heater, I = 10 A
We need to find the resistance of the heater. It is a case of Ohm's law. Its mathematical form is given by :
![V=IR](https://tex.z-dn.net/?f=V%3DIR)
R is resistance of the heater
![R=\dfrac{V}{I}\\\\R=\dfrac{440\ V}{10\ A}\\\\R=44\ \Omega](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7BV%7D%7BI%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B440%5C%20V%7D%7B10%5C%20A%7D%5C%5C%5C%5CR%3D44%5C%20%5COmega)
So, the resistance of the heater is 44 ohms. Hence, this is the required solution.
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Answer:
6) C 1
7) A 3 (im not sure for this one because it's blurry)
8) C 1
Step-by-step explanation:
6) Replace the f(x) for -1 since we are told f(x) = -1. We then need to use the inverse operation to get x by itself.
![- 1 = \frac{x - 3}{ 2}](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7Bx%20-%203%7D%7B%202%7D%20)
Since the opposite of division (which is indicated by the fraction line) is multiplication, we need to multiply the number on the left (-1) times 2.
![- 2 = x - 3](https://tex.z-dn.net/?f=%20-%202%20%3D%20x%20-%203)
For this step, the opposite of subtraction is addition so in this step, we must add 3 to -2.
![1 = x](https://tex.z-dn.net/?f=1%20%3D%20x)
7) Can't explain cause I'm not sure if I'm right
8) To find out the slope of two coordinates we must use the following to determine it.
<h3>
(IN THE PICTURE ATTACHED)</h3>
In this case, the y with the little two will be 4 and the y with the little one is 1. 4-1 is 3 and that's the y cooridnate sorted
For the x coordinate, the x with the little two is 1 and the x with the little one is -2. Thus, we must solve 1-(-2) which also equals 3.
<h3>Since the final coordinates are 3/3 and it simplifies, the final answer is 1.</h3>