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2 years ago

What are the zeros of the polynomial below (x + 3)(x - 5) =0

Mathematics

1 answer:

Hitman42 [59]2 years ago

6 0

Answer:

-3, 5

Step-by-step explanation:

By solving for x you get -3 and 5.

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Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h

Karolina [17]

She could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally

hope this helps :)

5 0

2 years ago

Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

5 0

2 years ago

What is the value of 6x^2-4x when x=5

creativ13 [48]

This answer is 678. 0003. 9

4 0

2 years ago

Franco's Pizza is selling their pizzas 35% cheaper than usual if a pizza normally cost $12 how much is it now

avanturin [10]

Answer:

New or current cost = 12 - 4.2 = $7.8

Step-by-step explanation:

Franco's Pizza is selling their pizzas 35% cheaper than usual. This is a discount on the normal cost. To get the amount it costs now, we will find the percentage of the discount on the original cost and subtract what we get from the original cost.

Discount = 35℅

Original cost of pizza is $12 (if a pizza normally cost $12).

So the discount in terms of dollars

= ℅ discount / 100 × normal cost of pizza

= 35 / 100 × 12 =0.35 × 12 = $4.2

New or current cost of pizza would be normal or original cost - the discount in dollars.

New or current cost = 12 - 4.2 = $7.8

4 0

2 years ago

On a coordinate grid, your campsite is located at (-8,-6) and the next checkpoint

Misha Larkins [42]

Answer:

The distance between campsite and checkpoint is: <em>4.47 miles</em>

Step-by-step explanation:

Given that the coordinates :

Campsite at (-8,-6) and

Next checkpoint at (-4,-4).

To find:

Distance between campsite and checkpoint = ?

Solution:

Let point A be the campsite i.e. A(-8, -6)

Let point B be the next checkpoint i.e. B(-4, -4)

We have to find the distance AB.

We can use Distance formula to find the distance between two points on xy coordinate plane:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$x_1 = -8\\y_1 = -6\\x_2 = -4\\y_2 = -4$

$AB = \sqrt{(-4-(-8))^2+(-4-(-6))^2}\\\Rightarrow AB = \sqrt{4^2+2^2}\\\Rightarrow AB = \sqrt{16+4}\\\Rightarrow AB = \sqrt{20}\\\Rightarrow \bold{AB=4.47}$

So, the distance between campsite and checkpoint is: <em>4.47 miles</em>

3 0

2 years ago