Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Given
9x + 3y = 12
We require to rearrange expressing y in terms of x
Subtract 9x from both sides
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4
Expressed in functional notation by replacing y by f(x), that is
f(x) = - 3x + 4
Answer:
14 candy Bars
Step-by-step explanation:
Let's under the question before we attempt it.
Total number of Candy Brooklyn is supposed to sell = 20
Percentage of Candy Bars sold= 70%
To know the exact number of Candy sold, it's means we must know the exact value of 70% of 20.
To solve this, we just proceed with mathematical operations.
Therefore:
70% of 20
= 70 / 100 * 20
= 1400 / 100
= 14.
It therefore means that, Brooklyn sold 14 Candy Bars
Math is fun! Lets Keep learning
The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is = 
=
cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x


Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or 
Hence, the constant of variation is 
Triangle EFG can also be proven to be a right triangle by using the following: D. Prove that KL is equal to c by Pythagorean Theorem.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean theorem states that the square of the longest side of a right triangle, which is the hypotenuse (c²) equals the sum of the squares of the other two legs of the right triangle (a² + b²).
If we apply the Pythagorean theorem, we would find the length of KL. If KL has the same length as c in triangle EFG, then we can say that triangle EFG is also a right triangle.
Therefore, the answer is: D. Prove that KL is equal to c by Pythagorean Theorem.
Learn more about the Pythagorean Theorem on:
brainly.com/question/343682
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Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.