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Anarel [89]
3 years ago
12

What is 64x12 – 1,000 written as a difference of cubes?

Mathematics
1 answer:
Anarel [89]3 years ago
5 0
64x12-1,000 written as a difference of cubes is (4x4)3-103
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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
3 years ago
Brian ran 414 miles in 34 of an hour. How fast was Brian running? 3316 mph 312 mph 5 mph 523 mph
hammer [34]

Answer:

he means 5 2/3

Step-by-step explanation:


3 0
3 years ago
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Question 5 (1 point)<br><br> Write an equivalent expression for (m + 4n) - 2.5m
aliina [53]

Answer:

-1.5m + 4n is the equivalent expression

Step-by-step explanation:

To find the equivalent expression, we combine the like terms.

We are given the following expression:

m + 4n - 2.5m

Combining the like terms:

m - 2.5m + 4n

-1.5m + 4n is the equivalent expression

4 0
3 years ago
Which of the following is a solution of x2 + 4x + 25?
blondinia [14]
Solve for x:
x^2 + 4 x + 25 = 0     I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2
5 0
3 years ago
Marshall began making a grilled cheese sandwich at 6:13 P.M. The sandwich was ready at 6:24 P.M. How long did it take Marshall t
jasenka [17]
It took him 11 minutes.
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3 years ago
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