Can somebody help me find y
Answers
Answer:
,
,
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Answers
The current when the resistance is 10 ohms is 24 amps
What are variations?
Variations are simply data that change in values (i.e. not constant)
Types of variation
The types of variations are:
- Direct variation
- Inverse variation
- Joint variation
- Combine variation
From the complete question (see attachment), we have the following highlights
- The variation is an inverse variation
- When current (I) is 30 amps, the resistance (R) is 8 ohms
An inverse variation is represented as:
Where k represents the constant of variation.
The above equation can be rewritten as:
So, we have:
When the resistance is 10 ohms, we have:
Divide both sides by 10
Rewrite the above equation as:
Hence, the current when the resistance is 10 ohms is 24 amps
Read more about inverse variation at:
A. 19
B. 20
C. 21
D.22
E. 23
Answers
Final answer:
To solve the inequality, subtract 13 from both sides and divide by -2/3 to isolate x.
The solution set consists of x values less than or equal to 21.
The values that apply are 19, 20, and 21.
Explanation:
To solve the inequality, we need to isolate x.
First, subtract 13 from both sides of the inequality: -2/3x ≥ -14.
Next, divide both sides of the inequality by -2/3.
Remember that when dividing by a negative, the inequality sign flips: x ≤ -14 ÷ (-2/3).
The negative sign in front of the fraction can be moved to the numerator to simplify the division: x ≤ (-14) × (3/(-2)). Multiply the numbers: x ≤ 21.
Therefore, the solution set of the inequality is x values less than or equal to 21.
The values in the solution set are 19, 20, and 21.
So, the correct options are A, B, and C.
Learn more about Inequality here:
#SPJ1
0=6-2y-8x
a.(2,-5)
b. (1,2)
c. (2,-2)
d. Infinite number of solutions
Answers
Answer:
None of the above.
Step-by-step explanation:
-3 = y - 4x
Thus y = 4x - 3
0 = 6 - 2y - 8x
2y = 6 - 8x
Thus y = 3 - 4x
4x - 3 = 3 - 4x
8x = 6
x = 8/6 = 4/3
y = 4 × 4/3 - 3 = 7/3
Should be (4/3, 7/3)
Hopefully this answer helps you :)
Answers
Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37
So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17
So the two numbers are 54 and 17
Answers
4x-3y=15
8x^2-27y^2=45
Answers
8 x² - 27 y² =45
Isolate y for 4 x - 3y = 15
4 x - 3y = 15 ( add 3y to both sides ):
4x-3y +3y = 15 + 3y
4x = 15 + 3y
Divide both sides by 4 :
4x / 4 = 15 + 3y / 4
x = 15+3y / 4
Plug the solutions x = 15+3y / 4 into : 8 x² - 27 y²=45
8 ( 15+3y / 4 )² - 27 y² = 45
1/2 ( 3y+15)² - 27 y² = 45
Multiply by LCD = 2
9 ( y+5)² - 54 y² = 90
-45 y² + 90 y + 225 = 90
- 45 y² + 90 y = 225 - 90
-45 y² + 90 y = 135 = 0
-45 ( y + 1 ) ( y - 3 ) = 0
Using the zero factor principle:
Solve ( y + 1 ) = 0
y = - 1
Solve ( y - 3 ) = 0
y = 3
y = -1 and y = 3
Plug the solution y = -1 , y = 3 into : 4 x - 3 y = 15
4 x - 3 y = 15 for - 1 :
4 x - 3 ( - 1 ) = 15
4 x + 3 = 15
4 x = 15 - 3
4 x = 12
x = 12 / 4
x = 3
For 3 :
4 x - 3 y = 15
4 x - 3 ( 3 ) = 15
4 x - 9 = 15
4 x = 15 + 9
4 x = 24
x = 24 / 4
x = 6
Therefore the final solution :
y = 3 , x = 6
y = - 1 , x = 3
hope this helps!