Answer:
The value of x is (-4) and y is (-5)
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To Find</u>;</h3>
Now,
-6x = 24
-6x/(-6) = 24/(-6)
x = -4
So, Substitute the value of x in x – 5y = 21
x – 5y = 21
-4 – 5y = 21
-4 + 4 – 5y = 21 + 4
-5y = 25/
-5y/(-5) = 25/(-5)
y = -5
Thus, The value of x is (-4) and y is (-5)
<h3>
<u>For </u><u>Verification</u>;</h3>
x – 5y = 21
-4 – 5(-5) = 21
-4 + 25 = 21
21 = 21
-6x = 24
-6(-4) = 24
24 = 24
L.H.S = R.H.S
Hence Verified!
<u>-TheUnknownScientist 72</u>
Answer: 484
===============================================
Work Shown:
First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify
f(x) = -x^4 + 5x - 4x^2
f(2) = -(2)^4 + 5(2) - 4(2)^2
f(2) = -16 + 5(2) - 4(4)
f(2) = -16 + 10 - 16
f(2) = -6 - 16
f(2) = -22
Then we square this result to find the value of ![[ f(2) ]^2](https://tex.z-dn.net/?f=%5B%20f%282%29%20%5D%5E2)
![f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484](https://tex.z-dn.net/?f=f%282%29%20%3D%20-22%5C%5C%5C%5C%5Cleft%5B%20f%282%29%20%5Cright%5D%5E2%20%3D%20%5B%20-22%20%5D%5E2%5C%5C%5C%5C%5Cleft%5B%20f%282%29%20%5Cright%5D%5E2%20%3D%20484)
Answer:
(4,0) and (- 2,0): Answer
Step-by-step explanation:
Absolute value questions have two essential steps.
1. Solve the equation as it is written.
2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer
4*abs(x - 1) = 12 Divide by 4
- abs(x - 1) = 12/4
- abs(x - 1) = 3 Equate this to 3
- x - 1 = 3 Add 1 to both sides
- x - 1 + 1 = 3 + 1 Combine
- x = 4
4*abs(x - 1) = - 12 Divide by 4
- abs(x - 1) = - 12/4
- abs(x - 1) = - 3
- x - 1 = - 3 Add 1 to both sides
- x - 1 + 1 = -3 + 1
- x = - 2
So this has 2 answers
(4,0) and (- 2,0)
Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so

we have

substitute

------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x



Find the value of y


therefore
The measure of arc EHL is 
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL

we have

substitute

Answer:
60 barrels
Step-by-step explanation:
y = # of barrels; x = minutes
worker: y = 12x
old line: y = 2x + 50
12x = 2x + 50
10x = 50
x = 5
y = 12(5) = 60
y = 2(5) + 50 = 60
60 barrels