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My name is Ann [436]
3 years ago
10

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

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Which of these best describes the asthenosphere inside of the earth's mantle?
nordsb [41]

Hello there

1) asthenosphere lies below lithosphere and part of uppermantle.

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8 0
3 years ago
Choose the correct simplification of (7x3y3)2.<br><br> 14x6y6<br> 49x5y5<br> 49x6y6<br> 14x5y5
dolphi86 [110]
The answer would be the first one.

I find it easier to expand the equation (you still get the same answer).

= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6

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8 0
3 years ago
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Eduardwww [97]

Answer:

3. 4 meters

6. wrong, it should be 7000 meters

7. 2 dm > 10 cm

8. 30 cm = 3 dm

9. 6 km > 5000 m

10. 8 m < 90 dm

Step-by-step explanation:

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6 0
3 years ago
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Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r
Maksim231197 [3]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that ,

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

\$5+\$15=\$20

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

20+1.50x

Now, remaining money left to him after spending on x rides too is

90-(1.50x+20)\\\\=90-1.50x-20\\\\=70-1.5x

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

f(x)=70-1.50x\\\\f(x)=-1.50x+70


3 0
3 years ago
Read 2 more answers
Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3
Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0
3 years ago
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