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scoundrel [369]
2 years ago
15

The owner of a shop buys a bed at the price of Rp 1,700,000.00. Then he sells the bed at the price of Rp

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
4 0

Answer:

b. 20%

Step-by-step explanation:

The difference between 2,040,000.00 and 1,700,000.00 is 340,000

By process of elimination of the possible answers, 20% of 1,700,000.00 is 340,000; which shows that there was a 20% increase in profit.

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Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form f(x)=ax^2+bx+c is given by the expression: x_v=\frac{-b}{2a}

Since in our case a=1 and b=5, we get that the x-position of the vertex is: x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0
3 years ago
Gracie’s pool is circular with a diameter of 30 feet and height of 6 feet. How much water can the pool hold?
adoni [48]

Answer and expl^{}anation is in a file. Li^{}nk below. Good luck!

bit.^{}ly/3a8Nt8n

3 0
3 years ago
Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of
Cloud [144]

Answer:

B.Dining out

Step-by-step explanation:

<u>I hope the below question is the full one that you want to ask</u>

<em>Select the correct answer. Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? A. college tuition B. dining out C. rent D. utility bills</em>

<em />

I think it is B: dinning out.

Because A C D are fixed cost, she could not adjust or change by herself. She can only save money when she cooks, do not need to go out for food.

4 0
3 years ago
Select inductive reasoning, deductive reasoning, or neither. A courtroom spectator merely looks at the defendant and says, "He's
Alenkinab [10]
I'd say deductive.
inductive would be looking at his past crimes and asuuming that he's not guilty ,only to reach a contradiction. some thing like that

5 0
2 years ago
Read 2 more answers
What is the slope of (-5,1) (5,2)
WARRIOR [948]

Check the answer below its correct(or above)

8 0
3 years ago
Read 2 more answers
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