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Goshia [24]
2 years ago
15

6k^3+10k^2−56k and 5(7k−3)(3k−7)share a common binomial factor. What binomial factor do they share?

Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer:

Step-by-step explanation:

6k^3+10k^2-56k\\2k(3k^2+5k-28)\\=2k[3k^2+12k-7k-28]\\=2k[3k(k+4)-7(k+4)]\\=2k(k+4)(3k-7)

common factor is 3k-7

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The perimeter of a triangle is 82 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer tha
andrezito [222]

Answer:

first side=40

second side=20

third side=22

Step-by-step explanation:

LET THE SIDES OF THE TRIANGLES BE y

Perimeter=82

first side=2 x y = 2y

second side=y

third side=2 +y

2y + y + 2 + y=82

4y+2=82

4y= 82-2

4y=80

y=80/4

y=20

first side=2y=2(20)=40

second side=y=20

third side= 2 + y= 2 + 20 = 22

3 0
3 years ago
The cost of renting a speed boat is $20 plus an additional fee of $5 for each hour the boat is
Elenna [48]

Answer:c=5h+20

Step-by-step explanation:The question says it is $20 plus 5$ per hour, $5 per hour would be equal to 5h, and 20 would be the y intercept in this equation, and using slope intercept form, youd get 20, by itself, after 5h. So the equation would be c=5h+20

4 0
2 years ago
Two customers walk into Petsmart with the same amount of money. One customer adopts a lizard and leaves the store with $56 left
GalinKa [24]

Answer:

The lizards are $25 each and each walked in with $81

Step-by-step explanation: find the difference between the amount they each had left which is 25 and that is how much 1 lizard cost and then add that to the $56 so you get $56+25=81 and 81 is the initial amount they walked in with

8 0
3 years ago
Read 2 more answers
A) Write an expression for the slope of the secant line through the points
Crazy boy [7]

Answer:

Step-by-step explanation:a/

slope m = [f(x)-f(3)]/(x-3)

b/

tangent y - f(3) = [lim m ,as x-->3](x-3)

7 0
2 years ago
The sum of two consecutive integrates is no more than 209. What is the larger of the two integers?
UNO [17]

Answer:

105 is the larger of the two integers

Step-by-step explanation:

104+105=209

104 and 105 are consecutive and their sum is no more than 209

8 0
2 years ago
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