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3 years ago

Choose the polynomial written in standard form.(check image)

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

Answer: x⁴y² + 4x³y + 10x²

This is in standard form because the terms are ordered from the highest degree to the lowest and the individual variables' powers are also decreasing from the left to right.

Step-by-step explanation:

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A pair of shoes which costs Rs 320 was sold at a loss of 5%what was the selling price if it is sold at profit of 20%find the gai

taurus [48]

Answer:

The Sell Price of the shoe at 5% loss is Rs 304.

The Sell Price of the shoe at 20% profit is Rs 384.

The Total Gain Percent is 12.5% when shoes are sold at Rs.360.

Step-by-step explanation:

Given,

Cost Price(C.P.) of shoe = Rs 320

Case 1.

Loss = 5%

C.P. = Rs 320

Here loss percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of calculating S.P.

$S.P. = \frac{C.P.(100-loss\%)}{100}$

On substituting the given values, we get;

$S.P. = \frac{320(100-5)}{100}\\\\S.P. =\frac{320\times 95}{100} =\frac{30400}{100} =Rs\ 304$

The Sell Price of the shoe at 5% loss is Rs 304.

Case 2.

C.P. = Rs 320

Profit = 20%

Here profit percent and cost price of the shoe is given, we have to find out the selling price(S.P.) of the shoe.

For this we use the formula of calculating S.P.

$S.P. = \frac{C.P.(100+profit\%)}{100}$

On substituting the given values, we get;

$S.P. = \frac{320(100+20)}{100}\\\\S.P.=\frac{320\times 120}{100}=\frac{38400}{100}=Rs\ 384$

The Sell Price of the shoe at 20% profit is Rs 384.

Case 3.

C.P. = Rs 320

S.P. = Rs 360

Now we need to find the gain percent.

First we will find the gain.

Gain is the difference of S.P with C.P.

Gain = $360-320 = 40$

Now Gain Percent can be calculated by dividing gain with the cost price and then multiplying it with 100

Gain Percent = $\frac{40}{320}\times 100 = 12.5\%$

Hence The Total Gain Percent is 12.5% when shoes are sold at Rs.360.

4 0

3 years ago

4. Match the table with the function that models the data.

Mrrafil [7]

Answer:

y=4squared

Step-by-step explanation:

7 0

3 years ago

Each cube in this figure is a -centimeter unit cube. How many cubes are in the prism? [Type your answer as a number.]

Annette [7]

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

6 0

3 years ago

If sally had 2 apples and gave away 1 , how many does she have left ?

Schach [20]

One apple because 2-1=1

3 0

3 years ago

Plz help if possible can you show how you got the answer :)

Troyanec [42]

Answer:

4t(t+3), 5k²(2k-3), 4x²(2x-5), t=0 and t=1/3, y=0 and y=-2, n=0 and n=-7/4

Step-by-step explanation:

To factor these, we can factor out a constant and/or variable. For number 12, these terms have 4t in common (you can divide any term in the expression by 4t and have no remainder), so we can pull that out. This makes 4t(t+3) because if you distributed, you would end up with the same answer. The answer for 12 is 4t(t+3).

For 13, we do the same thing, except with 5k². When we pull this out of the equation, we end up with 5k²(2k-3), which is the factored expression.

For 14, we can take out 4x². This becomes 4x²(2x-5), the factored expression.

For 15, we actually have to solve, so we can take out a t. This is t(3t-1)=0. We can set both terms (one outside the parentheses and the other one inside the parentheses) equal to zero to solve. t=0, 3t-1=0. To solve the second equation for t, you use inverse operations and end up with t=1/3. The answers are 0 and 1/3.

For 16, we have to solve as well, so take out a 5y. 5y(y+2)=0. Solve for y again. 5y=0, y+2=0. y=0, y=-2 are the answers.

For 17, take out a 3n. 3n(7+4n)=0. Solve for n. 3n=0, 7+4n=0. n=0, n=-7/4 are the answers.

3 0

3 years ago