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3241004551 [841]
3 years ago
10

**The expression (3x^2 + 5x - 12) - 2(x^2 + 4x + 9) is equivalent to which of the following?​

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

x^2 - 3x - 30

Step-by-step explanation:

step 1: -9   +   -1   =   -10    

-3   +   -3   =   -6     

-1   +   -9   =   -10    

1   +   9   =   10    

3   +   3   =   6     

9   +   1   =   10

No two factors can be found

Trinomial can not be factored

step 2: ((3x2 + 5x) - 12) - 2 • (x2 + 4x + 9)

step 3: -30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7

-2 + 15 = 13

-1 + 30 = 29

so the answer is x^2-3x-30

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Vadim26 [7]
I haven't learned antiderivitives yet but I can try to logic it

<span>First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7.

we reverse chain rule

3x^3, we know that it was a 4th degree thing, and the coefient is 3, so
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3/4x^4

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we know it was x^3, and the coefient is now 6 so
3*what=6? what=2
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2, that is from 2x

so
</span>
<span>3/4x^4+2x^3-1/2x^2+2x=f'(x)
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(3/4)(1)+2(1)-(1/2)(1)+2(1)=
3/4+2-2/4+2=
4 and 1/4 we need to get it to 9
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so we add that to the end since it will become 0 from derivitive

</span>
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+4 and 3/4

now reverse drivitive again

3/4x^4
exponent is 5 and coefient is 3/4
5 times what=3/4? answer is 3/20
3/20x^5

2x^3
exponent should be 4 and coefient is 2
4 times what=2? answer is 1/2
1/2x^4

-1/2x^2
exponent should be 3 and coefient is -1/2
3 times what=-1/2? answer is -1/6
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exponent should be 2 and coefient is 2
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1x^2

4 and 3/4 turns to (4 and 3/4)x



</span>
<span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x
try evaluating it for x=1
f(1)=(3/20)+(10/20)-(10/50)+1+(19/4)
f(1)=6 and 7/30
what do we add to get -7
-13 and 7/30
</span>
<span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x-13 and 7/30

</span>


</span>ANSWER
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+19/4
</span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+19/4x-187/30</span>
4 0
3 years ago
-2x-4 = 12<br> --------<br> 3<br><br> btw thats a fraction and 3 is the denominator
lys-0071 [83]
-2x - 4 = 12
add 4 to both sides of the equation
-2x = 16
divide -2 from both sides of the equation
x = -8

the new fraction: 8/3 or 2 2/3
4 0
3 years ago
What number is in the ten-thousandths spot of pi?
Nesterboy [21]

Answer:To figure out the value you have to look at all of the numbers from right to left.  You start with the ones place and get prgressively bigger going up by a multiple of 10 each time.  So you have the ones, tens, hundreds, thousands, ten thousands, etc.  In the number in your example, you have 3 ones, 4 tens (or 40), 1 hundred or (100), 0 thousands, and 5 ten thousands (50, 000).  You can write the number in expanded form to help you figure out the value.  50,000 + 100 + 40 +3.  

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1

Step-by-step explanation:

8 0
3 years ago
Kevin is looking for a job as a graphic designer. One ad lists a job that pays 64.6K. Another job he found has a weekly salary o
Sergeu [11.5K]

Answer:

The difference between the two weekly salaries is $122

Step-by-step explanation:

One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week

The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:

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3 years ago
- 7th Grade Work -<br><br> I rlly need help ; - ;
Tanya [424]

Answer:

The length would be 1.5x + 5.

Step-by-step explanation:

So first with this, note that 2 length + 2 height gives the perimeter of the rectangle.

Given this:

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x+8 + 2(?) = 4x+18

2(?) = 3x+10

? = 1.5x+5

1.5x + 5 = 1.5x + 5

The length would be 1.5x + 5.

To double check, by plugging in 1.5x + 5 back into the equation for the perimeter, you will get the same perimeter:

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3x+10 + x+8 = P

4x + 18 = P

8 0
3 years ago
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