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velikii [3]
3 years ago
7

A(n)=-4-2(n-1) find the 12th term in the sequence.

Mathematics
1 answer:
Art [367]3 years ago
4 0

Substitute n = 12:

a(n)=-4-2(n-1)\\\\a(12)=-4-2(12-1)=-4-2(11)=-4-22=-26

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Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)
Arlecino [84]
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>

<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>

<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>

<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>

<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>

<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>

<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>

<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>

<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>

<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>

<span>Or, if you prefer, (3, 0), (-5, 0). </span>
8 0
3 years ago
What is the value of x
Goshia [24]
Sum of all adjacent angles is 180°.

3x + 12 + x = 180
4x + 12 = 180
4x = 168
x = 42°

-----------------------------------------
Answer: x = 42°
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3 0
3 years ago
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Answer: Should be -5

Step-by-step explanation:

3 0
3 years ago
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Romashka-Z-Leto [24]
Just take each number in the first table and divide it by the total then x by 100

Eg the first one 24/120 x 100 = 20%
6 0
2 years ago
Mr.Thompson is on a diet. He currently weighs 250 pounds. He loses 3 pounds per month. Write an equation that models Mr.thompson
jekas [21]

250-3m

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Not an equation but an expression since I don’t know the number of months he was on the diet.

6 0
3 years ago
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