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3 years ago

Evaluate the polynomial when x=4 y=-4 x^2-3y^2+2xy

1 answer:

4 0

$x^2-3y^2+2xy\\\\for\ x=4\ and\ y=-4\\\\substitute\ the\ values\ of\ x\ and\ y:\\\\4^2-3\cdot(-4)^2+2\cdot4\cdot(-4)=16-3\cdpt16-32=16-48-32=-64$

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Solve equation<br> 7+3x-12x=3x+1

inysia [295]

7+3x-12x=3x+1
We will first make all the numbers which have x in go to the left.
So 7+3x-12x-3x, we make the 3x negative since to make it move it needs to change.
Then we will make all the sevens go to the right, so 3x-12x-3x=1-7.
So now it is much easier to figure out.
-12x=-6

4 0

3 years ago

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0

2 years ago

Suppose a company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014. Suppose that product

Paha777 [63]

Answer:

$1,750,000

Step-by-step explanation:

The company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014.

That will result in annual maintenance of:

(80 / 100) * 2000000 = $1,600,000

The product sales for 2013 were 2,000,000 (which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014.

That will result in annual maintenance of:

(75 / 100) * (10 / 100) * 2000000 = $150,000

Therefore, the total annual maintenance will be:

$1600000 + $150000 = $1,750,000

6 0

3 years ago

A cone has a radius of five feet and a height of 18 feet. If the radius of the cone is tripled but the volume but the volume rem

olasank [31]

Volume of a cone is 1/3 of the area of the base times the height
v=(1/3)pi*5*5*18=(1/3)pi815*15*h
h=2

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3 years ago

Tell whether the angles are complementary, supplementary or neither m^3=27, m^4=63

Fofino [41]

Supplementary is when it is a straight line that is equal to 180 degrees and complementary is a right angle which is 90 degrees

4 0

3 years ago

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