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3 years ago

1. Factor.......12x^5+6x^2−18

2 answers:

8 0

Here, expression is : 12x⁵ + 6x² - 18
Now, take 6 as a common factor,
6 (2x⁵ + x² - 3)

In short, Your Answer would be Option C

Hope this helps!

tester [92]3 years ago

5 0

The answer is c.. Just use the distributive property on c and it will equal what you have to factor

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Which is the best estimate for the area of the figure above?

nekit [7.7K]

Answer:

So I'd say 20in^2 or 22in^2.

Step-by-step explanation:

I decided to make it into a full pentagon shape to just estimate.

So a pentagons sides are all equal so I counted the amount in boxes on the sides of the regular shape and most of them would be 3.5 if you changed the shape into a pentagon.

And I got:

--> 21.076

5 0

3 years ago

Read 2 more answers

If the demand function for a commodity is given by the equation

Margarita [4]

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : $p^2 + 16q = 1400$

Supply function : $700 -p^2 + 10q = 0$

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : $p^2 + 16q = 1400$ --A

Supply function : $p^2-10q=700$ ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

$p^2-10q -p^2-16q=700-1400$

$-26q=-700$

$26q=700$

$q=\frac{700}{26}$

$q=26.92$

So, equilibrium quantity = 26.92

Substitute the value of q in A

$p^2 + 16(26.92) = 1400$

$p^2 + 430.72 = 1400$

$p^2 = 1400- 430.72$

$p^2 = 969.28$

$p = \sqrt{969.28}$

$p = 31.13$

So, equilibrium price is $31.13

7 0

3 years ago

If triangle ABC is isosceles, and AB = 6 and BC = 4, then AC =

lesya692 [45]

The answer is C because if AB=6 and BC=4 then AB is 6 and C is 4 so it can be either one of those options.

3 0

3 years ago

Read 2 more answers

This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes co

juin [17]

Answer:

40.

Step-by-step explanation:

Let J represent jelly snake.

Let L represent lollipops

Let S represent sample space

Let y represent the number of jelly snake in the bag. I.e

Number of J = y

Number of L = 10

Number of S = 10 + y

From the question given, we were told that the probability of jelly snake P(J) is 4/5.

But probability of jelly snake, P(J) is given by:

P(J) = nJ/nS

nJ = y

nS = 10 + y

P(J) = 4/5

Thu, we can obtain the number jelly snake, y, in the bag as follow:

P(J) = nJ/nS

4/5 = y/(10 + y)

Cross multiply

5y = 4(10 + y)

Clear bracket

5y = 40 + 4y

Collect like terms

5y – 4y = 40

y = 40

Therefore, the number of jelly snake in the bag is 40

8 0

3 years ago

Can someone help me find the answer to the following?

Ludmilka [50]

To solve this, we'll use Euler's Polyhedral formula.

This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:

$V+F-E=2$

If we solve for the edges E, we'll get:

$V+F-2=E$

Using the data given,

$\begin{gathered} V+F-2=E \\ \rightarrow6+8-2=E \\ \rightarrow12=E \end{gathered}$

We get that the polyhedron would have 12 edges

5 0

1 year ago