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2 years ago

I’m struggling with #10, please help!? :(

Mathematics

1 answer:

Tpy6a [65]2 years ago

6 0

Each number (i) is increased by 1 for the next number and are cubed.

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What is the discrimination of 3x^2+6x=2

Pavlova-9 [17]

60
D>0, there are 2 distinct real roots

Explanation:

3x2+6x−2=0
a=3,b=6,c=−2

The formula for discriminant is b2−4acSubstitute the given values.

b2−4ac
(6)2−4(3)(−2)
=60
therefore, D>0, there are 2 distinct real roots

8 0

3 years ago

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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

2 years ago

YOU'LL GET 50 POINTS IF U ANSWER THIS CORRECTLY! WILL MARK BRAINLEST!

ehidna [41]

Answer:

"Moving slowley" is the correct

Step-by-step explanation:

7 0

2 years ago

1296 ÷ 48 help me please

Elan Coil [88]

The answer in 27 $$$$$$$$$$$$$$$$$$$$$$$$

7 0

3 years ago

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The rectangular floor of colbys room is 9 feet long and 6 feet wide. What is the area of the floor

EastWind [94]

Answer:

54 ft^2

Step-by-step explanation:

The area is the product of length and width:

A = LW = (9 ft)(6 ft)

A = 54 ft^2

The area of the floor is 54 square feet.

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2 years ago

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