<img src="https://tex.z-dn.net/?f=2x%28x%20-%202%29%5E%7B2%7D%20%20%2B%203x%28x%20%2B%203%29%5E%7B2%7D%20%20-%20x%5E%7B2%7D%20%2

All categories

3 years ago

8x%20-%205%29" id="TexFormula1" title="2x(x - 2)^{2} + 3x(x + 3)^{2} - x^{2} (x - 5)" alt="2x(x - 2)^{2} + 3x(x + 3)^{2} - x^{2} (x - 5)" align="absmiddle" class="latex-formula">
what is this simplified?

Mathematics

1 answer:

Ratling [72]3 years ago

5 0

= x·[2(x²- 4x + 4) + 3(x² + 6x + 9) - x² + 5x]

= x(2x² - 8x + 8 + 3x² + 18x + 27 - x² + 5x)

= x(4x² + 15x + 35)

You might be interested in

The value of x is??!!

Rashid [163]

Answer:

x = 4.56

Step-by-step explanation:

57 + x + 25x + x = 180

27x + 57 = 180

27x = 123

x = 4.56

7 0

3 years ago

7th Grade triangle measurements

Vedmedyk [2.9K]

Answer:

ummmmmm....post the pic at least

8 0

2 years ago

One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second

Nesterboy [21]

Answer: 30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

Pumpkin A = 124 oz
Pumpkin B = 164 oz
Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

--------------

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0

2 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].

sweet [91]

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).

Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).

Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)

8 0

3 years ago