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4 years ago

11

Factor the polynomial:3x^3-x^2-15x+5

1 answer:

lina2011 [118]4 years ago

6 0

(x^2-5)(3x-1)
Here's how I got this answer:
I found the GCF for each part of the polynomial.
3x^3 and -15x both contain 3x, and -x^2 and 5 share -1.
I then can divide the polynomial by 3x-1, and I get x^2-5
(Okay, that's not what I really did, but I can solve these on sight and don't remember the proper way to do it.)

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A ballon rises 9 meters every 3 seconds. How many will the ballon rise in 2 minutes. A) 360m, B)120m, C)54m, D)1620.

Doss [256]

Answer:

A. 360 Meters

Step-by-step explanation:

There are 120 seconds in 2 minutes and if a balloon is rising 9 meters every 3 seconds you'll have to take 120 divided by 3 which is 40. You'll then take 40 and times it by 9 which is 360.

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3 years ago

Come up with 4 numbers that will give you an average of 11.6.

Goshia [24]

Answer:

step 1) 3, 2, 1.6, and 5.

step 2) 3+2+1.6+5+5 =16.6

16.6/5 = 3.32

step 3) ????????? both have .6 ,,, IDK

Step-by-step explanation:

idk if this might help.

3+2+1.6+5 = 11.6

11.6 + 5 = 16.6

16.6/5 = 3.32

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3 years ago

Q7 Q27.) Find zw. Leave your answer in polar form.

Lera25 [3.4K]

To multiply complex numbers in polar form: multiply the r parts and add the angle parts. Or

<span><span>r1</span><span>(cos <span>θ1 </span>+ i sin <span>θ1</span>)</span></span> <span>× <span>r2</span><span>(cos <span>θ2 </span>+ i sin <span>θ2</span>)</span></span>

= r1r2(cos(θ1+θ2) + i sin(θ1+θ2))

so zw

=3*8(cos(π/9+π/12) + i sin(π/9+π/12))

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3 0

3 years ago

Read 2 more answers

Rafael deposits $300 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in th

vaieri [72.5K]

Answer:

$72

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

$I=Prt$

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time</em>

<em />

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, plug in the values:

$I=300(0.04)(6)$

$I=72$

Rafael earned $72 worth of interest in the first 6 years.

3 0

3 years ago

Sarah and Henry share some sweets in the ratio 5:6 . Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2 . How

m_a_m_a [10]

Answer:

The number of sweets did Henry have is 72

Step-by-step explanation:

Given as :

The ratio of Sarah to Henry share sweets = 5 : 6

So, Let The Sarah share = 5 x

And The Henry share = 6 x

Now, again Sarah eats 24 of her sweets , then new ratio becomes 1:2

∴ $\frac{5 x - 24}{6 x}$ = $\frac{1}{2}$

Or, 2 × (5 x - 24 ) = 1 × 6 x

Or, 10 x - 48 = 6 x

Or, 10 x - 6 x = 48

So, 4 x = 48

∴ x = $\frac{48}{4}$ = 12

So, the number of sweets did Henry have = 6 x = 6 × 12 = 72

The number of sweets did Sarah have = 5 x = 5 × 12 = 60

Hence The number of sweets did Henry have is 72 Answer

8 0

3 years ago