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tigry1 [53]
2 years ago
12

Write an expression equivalent to (5p^2-3)+(2p^2-3p^3) in standard format​

Mathematics
1 answer:
salantis [7]2 years ago
7 0

Answer:

-3p^3+7p^2-3

Step-by-step explanation:

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The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle. Hint: Area of a rectan
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Solve the system:<br> 4x – 3y = -21<br> X=-y-14
Liula [17]

Answer:

The solution for the system of equations is

x=2,y=−2

Explanation:

4x−3y=14.....equation (1)

y=−3x+4.....equation (2)

Solving by substitution

Substituting equation 2 in equation 1

4x−3⋅(−3x+4)=14

4x+9x−12=14

13x=14+12

13x=26

x=2

Finding y by substituting x in equation 1

4x−3y=14

4⋅2−3y=14

8−3y=14

8−14=3y

3y=−6

y=−2

4 0
2 years ago
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Roll the dice 18 times and record your results.
Roman55 [17]

Answer:

#    Tally

1:     ||||| (5)

2:    | (1)

3:    |||| (4)

4:    ||| (3)

5:    || (2)

6:    ||| (3)

3 0
3 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
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