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2 years ago

What is 3a ^2 + a ^2 added to a +6 ?

Mathematics

1 answer:

KonstantinChe [14]2 years ago

7 0

Answer:

it is a polynomial

3a^2+a^2= 4a^2

4a^2+6

Step-by-step explanation:

3a^2 +a^2 = 4a^2+6

=4a^2+6

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Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over

Darina [25.2K]

Answer:

$\frac{y-x}{x+y}$

Step-by-step explanation:

We are given that fraction

$\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}$

We have to find the expression which is equivalent to given fraction .

$\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}$

$\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}$

Substitute the values then, we get

$\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}$

We know that

$\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}$

Using the property then, we get

$\frac{y-x}{xy}\times \frac{xy}{x+y}$

$\frac{y-x}{x+y}$

This is required expression which is equivalent to given expression.

6 0

3 years ago

Read 2 more answers

What is the volume of the shape?

rodikova [14]

Answer:

volume: 1/3 a²h

= 1/3 ×2²x6

= 8 feet³

6 0

2 years ago

Solve for x 5x + 4/2 = 7

aev [14]

Answer:

x=2

Step-by-step explanation:

5x+ $\frac{4}{2}$ = 7

5x+4 =7 (2)

5x+4=14

5x=14-4

5x=10

$\frac{5x}{5}$ = $\frac{10}{5}$

x=2

8 0

3 years ago

Read 2 more answers

Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?

Contact [7]

For each coin, there are 2 outcomes, heads (H) or tails (T), so for the 3 coins, the number of outcomes are:

2 x 2 x 2 = 8 outcomes:

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are 3 ways, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0

2 years ago

Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45

MissTica

Answer:

(c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

315 oz -225 oz = 90 oz

This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.

Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)

8 0

3 years ago