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2 years ago

In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x2 - 4600x + 200000, where V

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

See below

Step-by-step explanation:

This is a bowl shaped parabola ( due to the positive coefficient of x^2)

the minimum value (vertex )

will occur at x value = - b/2a = - -4600/2(415) = 5.54 years

the minimum VALUE will be the quation with this value of x inserted

415 (5.54)^2 - 4600(5.54) + 200 000 = $ 187 253.01

The home will reach a minumum value of 187253.01 in 5.54 years

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The height h is greater than 2.5 meters.<br> Write an inequality for the word sentence

Zielflug [23.3K]

Answer:

H > 2.5

Step-by-step explanation:

Greater = >

Lessthan = <

Equal = =

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2 years ago

Hi everybody!

Irina-Kira [14]

That answer is A and B pick one

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2 years ago

Which new angle is created by extending one side of a triangle

8090 [49]

Answer: The correct option is (C). an exterior angle.

Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.

Let ABC be a triangle as shown in the attached figure.

∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.

Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.

∠ACD is called the exterior angle of ΔABC.

Therefore, the newly created angle is an exterior angle.

Thus, option (C) is correct.

7 0

3 years ago

Read 2 more answers

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other

Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

$x+y=21$

Subtract x from both sides

$y=21-x$

height of 4 fir trees = pine tree +24

$4x=y+24$

Substitute 21-x or y in the above equation

$4x=21-x+24$

Add x on both sides

$5x=45$

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

$y=21-x$

$y=21-9$

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

4 0

3 years ago

An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on

Ronch [10]

Answer: C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let $\mu$ be the population mean .

As per given , we have

$H_0:\mu=50\\\\ H_a: \mu$

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

Also, it is given that ,

n= 48

$\overline{x}=46$

s= 10

$t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77$

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value = $t_{\alpha,df}=t_{0.025,47}=2.0117$

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

4 0

3 years ago