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3 years ago

Use any method to solve the equation.if necessary, round to the nearest hundredth. 8x^2-48=0

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

Answer:

x = ± 2.45

Step-by-step explanation:

Given

8x² - 48 = 0 ( add 48 to both sides )

8x² = 48 ( divide both sides by 8 )

x² = 6 ( take the square root of both sides )

x = ± $\sqrt{6}$ = ± 2.45 ( nearest hundredth )

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What is the sign of the product?

STALIN [3.7K]

A. negative because when one multiplies a even number of negatives, the product is a positive; but when one multiplies an odd number of negatives the product is negative.

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3 years ago

Problem: Using the doubling time growth model, what will the population for a city be in 4 years if the current

yarga [219]

Answer:

In four years the population will be 810,045 rounded to the nearest whole number.

Step-by-step explanation:

I'm not sure what port and d are but here's the solution.

since we know the doubling time we can set up a function where P is the initial value x will actually be the rate, since we know the time, which is what x usually is.

usually an exponential function looks like P*b^x=R where x is the time. We know the time though, 36 years. So we are going to use this to find the rate, which is normally b.

Px^36=2P

We don't need to worry about the actual values of P since we know that P gets doubled. Now we just use algebra to solve.

Px^36 = 2P

x^36 = 2

x = 2^(1/36) or the thirty sixth root of 2, or about 1.019. So we know every year the population increases by about 1.9 percent. I am going to use 2^(1/36) just to keep the answer accurate.

So now using the original equation we have P*(2^(1/36))^x = R where now we can plug in any number for x and get what the population will be that many years after the start. Keep in mind it has to be years though, if you wanted anything longer or less than a year you'd have to convert something.

It asks for 4 years sowe just plug in 4 for x and of course 750,000 for P.

750,000*(2^(1/36))^4 = 810,045 if we round to the nearest whole number.

Also worth noting if you have something like (a^b)^c you can rewrite it as a^(bc) so the exponents multiply together. Just need to make sure c is a power to the whole term a^b.

5 0

4 years ago

Pls Help!!! worth 40 pts.

Sholpan [36]

Your function is $f(x) = x^3 - 7x - 6$ . The fundamental theorem of algebra says that there will be three roots, since the degree of the polynomial is 3. The problem provides two real roots, x = -2 and x = 3, so there must be one more.

The theorem also says that possible roots of the polynomial would be in this case, the factors of the constant (-6) over the factors of the coefficient of the term with the highest degree (1).

Factors of -6 are: 1, 2, 3, 6, -1, -2, -3, -6
Factors of 1 are: 1, -1

Possible rational roots are: 1, 2, 3, 6, -1, -2, -3, -6

I then use synthetic division to see which possible rational root is a real root by dividing $x^3 -7x -6$ by the possible rational roots, and I get a root when the remainder is 0. Remember to put the placeholder of 0 for x^2 when dividing:
-1} 1 0 -7 -6
-1 1 6
-----------------
1 -1 -6 0

When I divide by the possible rational root of -1, I get a remainder of 0, which means -1 is a root.

To check:
(x + 2)(x - 3)(x + 1)
= (x^2 - x - 6)(x + 1)
= x^3 - x^2 - 6x + x^2 - x - 6
= x^3 - 7x - 6

5 0

4 years ago

What is the rate of 3 inches of rain in 6 hours as a unit rate

Elza [17]

To find the unit rate of the rain per hour, we do:
3÷6= 0.5
So, the unit rate is 0.5 inch of rain/hour

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3 years ago

Read 2 more answers

A pan with its lid weighs 2.6 kg and the lid alone weighs 400g.

Rashid [163]

Answer:

2.6 : 400 -----convert both to either grams or kg, i'm doing grams

2600 : 400 ----simplify by 200

13:2 is lowest

8 0

3 years ago