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kow [346]
3 years ago
15

3. Subtract the polynomials. (-3x + 3x3 - 2x2 + 2) - (8 - 4x + 3x2)

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Let's simplify step-by-step.

−3x+3x3−2x2+2−(8−4x+3x2)

Distribute the Negative Sign:

=−3x+3x3−2x2+2+−1(8−4x+3x2)

=−3x+3x3+−2x2+2+(−1)(8)+−1(−4x)+−1(3x2)

=−3x+3x3+−2x2+2+−8+4x+−3x2

Combine Like Terms:

=−3x+3x3+−2x2+2+−8+4x+−3x2

=(3x3)+(−2x2+−3x2)+(−3x+4x)+(2+−8)

=3x3+−5x2+x+−6

Answer:

=3x3−5x2+x−6

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What is the area of the shape?
marshall27 [118]

Step-by-step explanation:

hello,

the shape is a right trapezium.

you use the following formula:

area of a trapezium = ½ × sum of parallel sides× height.

or simply,

a = ½ ( a + b ) h

where a and b are the parallel sides

and h is the height.

thus,

a = ½ × ( 4 + 6 )× 4

a = ½ ( 10 ) × 4

a = 5 × 4

a = 20

have a great day! au revoir !

6 0
2 years ago
Read 2 more answers
Each team in the softball league plays each of the other teams exactly once. If
Aleks04 [339]
<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because  A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6

Excluding the minus result, you got 7 teams.
6 0
4 years ago
Two ladders AB and PQ are resting against opposite
muminat

Answer:

The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225

x = √1225

x = 35 ft

5 0
2 years ago
A survey revealed that 10% of workers at a company were not satisfied with their job. If 88 workers selected this option, then h
prohojiy [21]

Answer:

There are 880 workers at the company.

Step-by-step explanation:

With the information provided, you can find the total amount of workers at the company which would represent 100% using a rule of three given that 88 workers represent 10% of workers:

88 workers →   10%

       x          ←  100%

x=(88*100)/10= 880

According to this, the answer is that there are 880 workers at the company.

5 0
3 years ago
Wore
zhuklara [117]
“kilo-“ means “thousand.” A kilogram is 1,000 grams.
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas
4 0
3 years ago
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