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2 years ago

HELP!!!! I'LL MARK THE BEST ANSWER BRAINLIEST

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

x=1

Explain:

y=2x^2−4x+1

dy/dx=4x-4

The line of symmetry will be where the curve turns (due to the nature of the

x^2 graph.

This is also when the gradient of the curve is 0.

Therefore, let

dy/dx=0

This forms an equation such that:

4x−4=0

solve for x,

x=1

and line of symmetry falls on the line

x=1

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Check What is the slope of the line on the graph?

katen-ka-za [31]

Slope: the tilt. it equals rise over run. so 1/2

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3 years ago

Question included in the image - geometry problem.

iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that L₁ || L₂:

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.

Also, ∠y° and ∠2x° are same-side interior angles formed by the intersection of the hypotenuse of the triangle that acts as a transversal to the parallel lines, L₁ and L₂. Given that ∠y° and ∠2x° are same-side interior angles, then it means that they are the supplements of each other, such that the sum of their measures is 180°.

Now that we have established these definitions, we can proceed with the solution.

Equation 1: ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

Equation 2: ∠y° = ∠x° + ∠84° ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° + ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

$\frac{3x}{3} = \frac{96}{3}$

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° = ∠x° + ∠84°

∠y° = ∠32° + ∠84°

∠y° = 116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° = ∠x° + ∠84°

116° = 32° + 84°

116° = 116° (True statement)

Therefore, the correct answer is: y = 116°.

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2 years ago

Sharon purchased a used car for $24,600. The car depreciates exponentially by 8% per

Tju [1.3M]

Answer:

The value of car after 5 years of exponentially depreciation is $16,213.36

Step-by-step explanation:

The initial amount of the car = i = $24,600

The depreciates rate of interest applied = r = 8%

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The number of years = n = 5 years

Now,According to question

The value of car after n years = initial price of car × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, The value of car after 5 years = i × $(1-\dfrac{\textrm r}{100})^{\textrm n}$

Or, $A = $24,600 × $(1-\dfrac{\textrm 8}{100})^{\textrm 5}$

Or, $A = $24,600 × $(0.92)^{5}$

Or, $A = $24,600 × 0.65908

Or, $A = $16,213.36

So, The value of car after 5 years = A = $16,213.36

Hence , The value of car after 5 years of exponentially depreciation is $16,213.36 . Answer

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2 years ago

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196/7 = 28

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3 years ago

A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volum

raketka [301]

Answer:

Total volume of all the bins = xS + yL

Step-by-step explanation:

Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.

To find: an expression that represents the total volume of all the bins

Solution:

The volume of the smaller bin = x cubic inches

The volume of the larger bin = y cubic inches

Also, the store has S smaller bins and L larger bins

So,

Total volume of all the bins = xS + yL

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2 years ago