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2 years ago

Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15

Mathematics

1 answer:

Softa [21]2 years ago

5 0

Answer:

-2x² + 21x + 27

Step-by-step explanation:

distribute 3 to get:

(6x² + 21x + 12) - 8x² + 15

combine 'like terms' to get:

-2x² + 21x + 27

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Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2

ololo11 [35]

<h3> $6w^2 +8w +4$ is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

$w^2 + 7w^2 + 8w -5+9-2w^2$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

$w^2 + 7w^2 + 8w -5+9-2w^2$

Group the like terms

$w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4$

Thus the given expression is simplified

4 0

2 years ago

A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a 1.50 kg mass in each outstre

Vlad1618 [11]

Answer:r'=0.327 m

Step-by-step explanation:

Given

$N=2.85 rev/s$

angular velocity $\omega =2\pi N=17.90 rad/s$

mass of objects $m=1.5 kg$

distance of objects from stool $r_1=0.789 m$

Combined moment of inertia of stool and student $=5.53 kg.m^2$

Now student pull off his hands so as to increase its speed to 3.60 rev/s

$\omega _2=2\pi N_2$

$\omega _2=2\pi 3.6=22.62 rad/s$

Initial moment of inertia of two masses $I_0=2mr_^2$

$I_0=2\times 1.5\times (0.789)^2=1.867$

After Pulling off hands so that r' is the distance of masses from stool

$I_0'=2\times 1.5\times (r')^2$

Conserving angular momentum

$I_1\omega =I_2\omega _2$

$(5.53+1.867)\cdot 17.90=(5.53+I_o')\cdot 22.62$

$I_0'=1.397\times 0.791$

$I_0'=5.851$

$5.53+2\times 1.5\times (r')^2=5.851$

$2\times 1.5\times (r')^2=0.321$

$r'^2=0.107009$

$r'=0.327 m$

7 0

2 years ago

The ratio of boys to girls in a school is 9:11. If there are 400 pupils in the school,how many boys are there

Anvisha [2.4K]

I believe its 180.

I have seen this question before and the amount of girls was 220, so 400-220 is 180

Hope this helps :)

5 0

2 years ago

How many solutions does the equation 12 (x + 3 ) = 4 (2x + 9 ) +4x have?

Vera_Pavlovna [14]

Answer:

Infinitely many solutions.

Step-by-step explanation:

12(x+3)=4(2x+9)+4x

12x+36=8x+36+4x

12x+36=12x+36

infinitely many solutions

3 0

2 years ago

F(x) = (x + 3)^2 find the inverse of this function

Snezhnost [94]

I think the answer is:
F^-1(x)= 1/(x+3)^2

Inverse mean the opposite or reverse

Hope this makes sense! :)

3 0

2 years ago