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Art [367]
3 years ago
7

Which expression is equivalent to (3x−2)(x+6)

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Answer: 3x^2+16x-12

Step-by-step explanation:

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How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? Two Zero Infinitely many One
sleet_krkn [62]

Answer:

one solution

Step-by-step explanation:

3x − 7 = 4 + 6 + 4x

Combine like terms

3x-7=4x+10

Subtract 3x from each side

-7=x+10

Subtract 10 from each side

-17 =x

There is one solution

4 0
3 years ago
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face
aleksley [76]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

3 0
3 years ago
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Taya2010 [7]

Answer:

10x+12y=300

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).
Hitman42 [59]
<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>
7 0
3 years ago
What expression is equivalent to 4 to the power of 4 times 4 to the power of -9
zvonat [6]

Answer:

idk this stuff yet

Step-by-step explanation:

4 0
3 years ago
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