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baherus [9]
2 years ago
13

Simplify (4x^2-7x+14)(3x+5x^2-6) Please show work

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

-23x^3+20x^4+25x^2+84x-84

Step-by-step explanation:

1 Expand by distributing sum groups.

4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)

2 Expand by distributing terms.

12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)

3 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)

4 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84

5 Remove parentheses.

12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84

6 Collect like terms.

(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84

7 Simplify.

-23x^3+20x^4+25x^2+84x-84

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The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prep
HACTEHA [7]

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

7 0
3 years ago
Use synthetic division to divide (x^ 3 + x^ 2 – 40x – 4) ÷ (x – 6)
Marina CMI [18]
The answer is C.

Hope this helps!!

7 0
3 years ago
Read 2 more answers
Please answer correctly ! Will mark brainliest answer !!!
Andreyy89

Answer:

The answer is the first one.

6 0
3 years ago
Can anyone please help with this.
Eddi Din [679]
The first question answer is 21*10^7
The second question answer is 5*10^2
7 0
3 years ago
Someone please help me with this
Nadusha1986 [10]
Since 2 sides of the triangle are the same, it's an isosceles triangle.
That would also mean that the two angles are the same; 70 and 70.

A triangle has 180 degrees total.

70 + 70 + x = 180
x = 40
8 0
3 years ago
Read 2 more answers
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