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3 years ago

Factorise and divide: (3y^8 - 4y^6 + 5y^4) ÷ y^3

Mathematics

1 answer:

IceJOKER [234]3 years ago

6 0

Answer: 3y^4 - 4y^2 + 5

Step-by-step explanation:

Im fairly sure this is the answer but again i dont know

3y^8 = 3 x y x y x y x y x y x y x y x y

4y^6 = 4 x y x y x y x y x y x y

5y^4 = 5 x y x y x y x y

(3×y×y×y×y×y×y×y×y)−(4×y×y×y×y×y×y)+(5×y×y×y×y)

y^4

= y^4 [(3×y×y×y×y)−(4×y×y)+(5)]

= 3y^4 - 4y^2 + 5

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Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.

castortr0y [4]

Answer: In the last steps, instead of multiply each side by 3, he has to divide each side by 3.

Step-by-step explanation:

Hi, Tobin makes the mistake in the last steps.

3(x-1.25) = 11.25

3x-3.75= 11.25

3x-3.75+3.75= 11.25+3.75

3x = 15

Until this step is the work ok.

Now, instead of multiply each side by 3, he has to divide each side by 3:

So:

3x /3 = 15/3

x = 5

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago

Material for a dress costs £5.50 per metre. find the cost of 10cm and 70cm

Zielflug [23.3K]

Answer:

The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.

Step-by-step explanation:

Material for a dress costs £5.50 per meter.

We know that, 1 meter = 100 cm.

Suppose, the cost of 10 cm material is $x$ and the cost of 70 cm material is $y$

Now, according to the ratio of "cost" to the "length of material" , we will get.......

$\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55$

and

$\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85$

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85

5 0

3 years ago

How many terms are in the polynomial abcd + e-n2? two three five six

ELEN [110]

Answer: There are 3 terms

Step-by-step explanation: You count the abcd as 1 term because it is all multiplied together, the e term is counted as another term, so there are 2 terms, and the n2 term is counted as a term getting you 3 terms in total.

3 0

3 years ago

Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.

timofeeve [1]

13,000 • 3 = 1 hour = 39,000
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!

6 0

3 years ago

John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Troyanec [42]

Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

where $t$ is the time in hours john has traveled since the gas station, and $d$ is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

$\boxed{b=20}$

Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

$m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5$

$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

8 0

3 years ago