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kondor19780726 [428]
3 years ago
10

Factor each of the following expressions. What similarities do you notice between the examples in the left column and those on t

he right? (a) x² − 1 (b) 9x² − 1 (c) x²+8x +15 (d) 4x²+16x +15 (e) x² − y² (f) x⁴ − y⁴
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

(a) (x+1)(x-1)

(b)(3x+1)(3x-1)

(c) (x+3)(x+5)

(d)(2x+5)(2x+3)

(e)(x+y)(x-y)

(f) (x^{2}  +y^{2})(x+y)(x-y)

Step-by-step explanation:

We have to factorize the following expressions:

(a) x²-1 =(x+1)(x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

(b) 9x²-1 =(3x+1)(3x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

(c) x²+8x+15 = x² +3x+5x+15 =(x+3)(x+5) (Answer)

(d) 4x²+16x+15 =4x²+10x+6x+15 = 2x(2x+5) +3(2x+5) =(2x+5)(2x+3) (Answer)

(e) x²-y² =(x+y)(x-y) (Answer)

(f) x^{4}-y^{4} =(x^{2}   +y^{2})(x^{2}  -y^{2})=(x^{2}  +y^{2})(x+y)(x-y) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

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dalvyx [7]

Answer:

9

Step-by-step explanation:

Based on the order of operations, this would be 3 times 3, which is 9 I think.

4 0
3 years ago
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kogti [31]

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

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Jocelyn's plane travelled 3650 miles.

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3 0
3 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

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Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

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6 0
3 years ago
Can someone explain this to me?
Deffense [45]

Answer:

200

Step-by-step explanation:

So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.

6 0
2 years ago
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The height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height
uranmaximum [27]
A = (h * b) / 2
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h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
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100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm
3 0
3 years ago
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