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WINSTONCH [101]
3 years ago
11

Factorise x squared + 3x + 2​

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

(x + 2)(x + 1)

Step-by-step explanation:

by factorising ;

=》

{x}^{2}  + 3x  + 2

=》

{x}^{2}  + 2x + x + 2

=》

x(x + 2) + 1(x + 2)

=》

(x + 2)(x + 1)

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

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You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft
irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0
3 years ago
6.6=w-1.2 What is w??
8_murik_8 [283]

Answer:

w=7.8

Step-by-step explanation:

5 0
3 years ago
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Dafna11 [192]

Given equation : \frac{x}{42}=\frac{3}{7}.

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

<h3>x = 18.</h3>

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

42\times \frac{x}{42}=42\times\frac{3}{7}

x = 6 * 3

<h3>x = 18.</h3>
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Answer:

Sam has $900 more money. In total he now has $905.

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2 years ago
A box is 1 m high, 2.5 m long, and 1.5 m wide, what is its volume?
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Answer:

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Step-by-step explanation:

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