Plz help me with this

Mathematics

2 answers:

Alecsey [184]3 years ago

6 0

Answer: b) x = -2, 4

<u>Step-by-step explanation:</u>

$\dfrac{x+4}{4}=\dfrac{x}{x-2}\quad \rightarrow \quad \text{Restriction: }x\neq2\\\\\\\text{Cross Multiply:}\\(x+4)(x-2)=4x\\\\\\\text{Expand the left side:}\\x^2+2x-8=4x\\\\\\\text{Subtract 4x from both sides:}\\x^2-2x-8=0\\\\\\\text{Factor the quadratic equation:}\\(x+2)(x-4)=0\\\\\\\text{Apply the Zero Product Property and solve for x:}\\x+2=0\qquad x-4=0\\x=-2\qquad \quad x=4\\\\$

kolezko [41]3 years ago

3 0

The second option is the answer.

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What is a 36% markup to $150 dallors

MrRa [10]

Answer:

Markup amount: $54

New price with markup: $204

Step-by-step explanation:

36% markup to $150

We can find the amount of markup by finding 36% of 150.

36% of $150

Write 36% as a decimal and multiply it by the price

0.36(150) = $54

The amount of markup (36%) is equal to $54

When this is added to the original price, the new price is $150 + $54 = $204

Let me know if you have any questions!

7 0

3 years ago

9. Which of the following relations is a function?

elena-14-01-66 [18.8K]

The answer is D because the first number doesn’t reapeat

5 0

3 years ago

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul

kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola? namely, at what cost for how many bats?

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill$