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klio [65]
3 years ago
14

The eighth term in the series 2, 6, 18, 54, ___ is 4122 4374 5643 7434

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

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Solve the following system of equations and show all work.<br> y = 2x2<br> y =<br> 3x -1 (10 points)
dedylja [7]

Answer: \left(\frac{1}{2}, 1 \right), (1, 2)

Step-by-step explanation:

We have y=2x^{2} and y=3x-1.

Since both of the equations are set equal to y, we can conclude that:

2x^2 = 3x-1\\\\2x^{2}-3x+1=0\\\\(2x-1)(x-1)=0\\\\x=\frac{1}{2}, 1

If x=\frac{1}{2}, then y=3\left(\frac{1}{2} \right)-1=1

If x=1, then y=3-1=2

Therefore, the solutions are \left(\frac{1}{2}, 1 \right), (1, 2)

7 0
2 years ago
I need some help with this
marshall27 [118]
[-2 3] times [2
                    1] 

comes out to -2(2)+3(1) = -1.  Eliminate the first answer choice, due to 
                                                 the presence of that -7 instead of -1.

[-2 3] times [0
                    -3]

comes out to - 9.  This matches answer choices #2, #3 and #4.

[3,-4][2
           1]

comes out to 6-4, or 2.  Matches #2, #3, #4.


[3, -4][0
           -3]

comes out to +12, which matches answer choice #4.

Answer choice #4 is the correct one.

Review matrix multiplication if need be.  Feel free to ask questions here and now if need be.

7 0
4 years ago
What is 29x56<br> if u scam me out of points mad ω
monitta
It would be equal to 1624
7 0
3 years ago
Read 2 more answers
2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of
Gemiola [76]

Answer:

g(x) = (x + 2)(x − 1)(x − 2)

I picked the first one, because why not. :)

<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.

<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.

<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.

x+2 = 0

x = -2

x-1 = 0

x = 1

x-2 = 0

x = 2

So the function has three zeros at (-2,0) (1,0) and (2,0).

3 0
3 years ago
PLease answer !!! Find constants $A$ and $B$ such that \[\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}\] for all
Xelga [282]

Answer:

1. (A,B) = (3,-2)

2. The values of t are: -3, -1

Step-by-step explanation:

Given

\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}

|t| = 2t + 3

Required

Solve for the unknown

Solving \frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}

Take LCM

\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}

Expand the denominator

\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}

\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}

Both denominators are equal; So, they can cancel out

x + 7 = A(x+1) + B(x-2)

Expand the expression on the right hand side

x + 7 = Ax + A + Bx - 2B

Collect and Group Like Terms

x + 7 = (Ax + Bx)  + (A - 2B)

x + 7 = (A + B)x + (A - 2B)

By Direct comparison of the left hand side with the right hand side

(A + B)x = x

A - 2B = 7

Divide both sides by x in (A + B)x = x

A + B = 1

Make A the subject of formula

A = 1 - B

Substitute 1 - B for A in A - 2B = 7

1 - B - 2B = 7

1 - 3B = 7

Subtract 1 from both sides

1 - 1 - 3B = 7 - 1

-3B = 6

Divide both sides by -3

B = -2

Substitute -2 for B in A = 1 - B

A = 1 - (-2)

A = 1 + 2

A = 3

Hence;

(A,B) = (3,-2)

Solving |t| = 2t + 3

Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

t = 2t + 3    and   -t = 2t + 3

Solving t = 2t + 3

Make t the subject of formula

t - 2t = 3

-t = 3

Multiply both sides by -1

t = -3

Solving -t = 2t + 3

Make t the subject of formula

-t - 2t = 3

-3t = 3

Divide both sides by -3

t = -1

<em>Hence, the values of t are: -3, -1</em>

7 0
3 years ago
Read 2 more answers
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