Use the equation 1/2 (x - 4) = 1/3x + 2<br> Write a word problem for the equation.

I really need help on this quiz and I have to show work <br> x(8-3x)(x+2)=0

Sedaia [141]

Answer:

The answer is 8/3 I think

4 0

3 years ago

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Supposed the population of deer in a region was 3,500 in the year 2000.since then population has grown by 3.5% annually. What wi

sergejj [24]

Y = a (b^x)

1) x = 0, y = 3500

=> 3500 = a (b^0)

=> 3500 = a (1)

=> a = 3500

2) growth percent = 3.5% => growth rate = 1.035 = b

=> y = 3500 (1.035)^ x

3) year 2020 => x = 2020 - 2000 = 20

4) y = 3500 (1.035)^ 20 = 6964

Answer: 6964.

3 0

3 years ago

Sam's van travels 208.8 miles on 9 gallons of gasoline. Hasan's small car travels 234.4 miles on 8 gallons of gasoline. What is

poizon [28]

Answer:

The difference between the vehicles is 0,009 gallons per mile.

Step-by-step explanation:

To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:

-Sam´s van

Gallons per mile: 9 gallons/208.8 miles

Gallons per mile: 0.0431

-Hasan´s small car:

Gallons per mile: 8 gallons/234.4 miles

Gallons per mile: 0.0341

The difference between the vehicles is:

0.0431-0.0341= 0,009 gallons per mile

5 1

3 years ago

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A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

William Right broke his leg in an accidental fall. He has a deductible of $150 and a coinsurance payment equal to 20% percent of

Varvara68 [4.7K]

We know that William paid his deductible that amount is the $150.

Then William paid 20 percent of everything else. That's 20 percent of (750 minus 150), it is equal to 150.

Then the insurance company paid 80 percent of (750 minus 250), it is equal to 480.

7 0

3 years ago

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Use the equation 1/2 (x - 4) = 1/3x + 2 Write a word problem for the equation.