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ratelena [41]
2 years ago
15

(2x-7)-(4x^2+6x-3)+(x^2+4)

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

-3x^2-4x

Step-by-step explanation:

Simplify:

\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)

=2x-7-\left(4x^2+6x-3\right)+x^2+4

Group same factor:

=-\left(4x^2+6x-3\right)+x^2+2x-7+4

Add :

=-\left(4x^2+6x-3\right)+x^2+2x-3

Apply the distributive law: -(a+b) = -a - b

-\left(4x^2+6x-3\right)=-4x^2-6x+3

=-4x^2-6x+3+x^2+2x-3

Group same factor:

=-4x^2+x^2-6x+2x+3-3

Subtract:

=-4x^2+x^2-6x+2x

Add:

=-3x^2-6x+2x

Group same factor:

=-3x^2-4x

Hence answer = -3x^2-4x

<u><em>~lenvy~</em></u>

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the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.
Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $5 for going in.

She has 2 whole pounds.

1.25 x 2=2.5 or 2 \frac{1}{2}

Add $5 and $ 2.5 .

5+2.5 = 7.5

Now let's do $1.25 divided by 10.

$$1.25 divided by $10 =0.125

Now let's do 0.125 times 4

0.125 x 4 = 0.5

Now let's add 7.5 to 0.5

7.5+0.5=8

4 0
2 years ago
12) Write the equation of a rational function
aev [14]

Answer:

\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}

Step-by-step explanation:

A rational function is

\frac{p(x)}{q(x)}

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

(x - p)

Step 1: We have asymptote as 0 and -1 so our denomiator will include

(x - 0)(x - ( - 1)

Which is

(x)(x + 1)

So our denomator so far is

\frac{p(x)}{x(x + 1)}

Step 2: Find Holes.

Since 12 is the value of the hole,

(x - 12)

is a the binomial.

This will be both on the numerator and denomator so qe have

\frac{(x - 12)}{x(x + 1)(x - 12)}

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

\frac{  {x}^{3} - 10 {x}^{2}  - 59x + 420 }{ {x}^{3} - 12 {x}^{2}   + x - 12}

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}

Above is the function,

5 0
2 years ago
I need help please and thank u,
Alchen [17]

The illegal values of b are when the denominator equals 0.

So, b^2-2b-8=0 gives you (b-4)(b+2)=0

Therefore, b=4 and b=-2, which is answer A.


8 0
3 years ago
A bag contains 6 black marbles and 4 white marbles. Sally takes out a black marble and does not put it back. What is the probabi
Neko [114]

Answer:

\frac{5}{9}

Step-by-step explanation:

Total\ marbles=10\\\\Black=6\\\\White=4

After removing one black marble:

Total\ remaining\ marbles=9\\\\Remaining\ Black=5\\\\P(Black)=\frac{Remaining\ Black\ marbles}{Total\ remaining\ marbles}\\\\P(Black)=\frac{5}{9}

6 0
3 years ago
on monday delias family drives 45 1/3 miles each hour.if they travel for 9 hours how many miles do they travel altogether?
Oliga [24]
The answer is 408 miles
5 0
3 years ago
Read 2 more answers
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