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masha68 [24]
3 years ago
5

Number 5 ABC or D? Please help

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

D

Step-by-step explanation:

you want to solve it out

start with multiplying z to each. you don't multiply it to the 6 because it is in the same parenthesis set, but you multiply it to everything in the other set.  After multiplying, you get: 2z^3 , 3z^{2} , 5z

now do that to the 6. After multiplying you get:  12z^{2}, 18z, 30

now set it all next to each other 2z^3 + 3z^{2} + 5z + 12z^{2} + 18z + 30

now combine like terms. start with the to the highest power. since there is only one that has a third power, you put that one first. then you combine the squared ones, and so forth.

work combining the squares: 3z^{2} + 12z^{2} = 15z^{2}

work combing the single z's: 5z + 18z = 23z

to get this:  2z^3 + 15z^{2} + 23z + 30

so, the answer is D

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Elis [28]
The answer i think is it c
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The mean of 6 numbers is 8.
shutvik [7]

Answer: 8

Step-by-step explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are x, x, 2x, 2x, 3x, 3x

Write the mean of the numbers

\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4

So, the numbers are 4, 4, 8,8 ,12,12

As the total numbers are even, median is the sum of the middle values

\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8

8 0
3 years ago
Which of the following is the inverse of y=12^x
Elenna [48]
y=12^x\ \ \ |log_{12}\\\\\log_{12}y=\log_{12}12^x\\\\\log_{12}y=x\log_{12}12\\\\x=\log_{12}y


y=12^x\to y^{-1}=\log_{12}x;\ x\in\mathbb{R^+}\to\ y^{-1}=\dfrac{\log x}{\log12};\ x\in\mathbb{R^+}\to y^{-1}=\dfrac{\ln x}{\ln 12}

Used:\\\\\log_aa=1\\\\\log_ab^n=n\log_ab\\\\\log_ab=\dfrac{\log_cb}{\log_ca}
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3 years ago
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How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​
nasty-shy [4]

Answer:

Standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

Step-by-step explanation:

Here, the given expression is (x-9)(3x-7) + (3x^{2} - 5x+2)

Now, simplifying the above expression in parts, we get

(x-9)(3x-7) = 3x^{2}  - 7x -27x + 63 = 3x^{2}  - 34x + 63

hence, combining both parts:

(x-9)(3x-7) + (3x^{2} - 5x+2)=(3x^{2}   -34x +63) + (3x^{2} - 5x+2)

= 6x^{2}  - 39x + 65

The above expression is of the STANDARD FORM: ax^{2}  +bx + c

Hence, the standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

6 0
3 years ago
Match these similar triangles proof<br>​
AlekseyPX

Answer:

B

C

F

D

H

A

G

E

Step-by-step explanation:

Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.

The first statement is always the given.

Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.

Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.

Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.

Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.

Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.

The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.

The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.

7 0
3 years ago
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