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Georgia [21]
3 years ago
10

If ƒ(n) = 3n 2 - 7, then ƒ(-2) equals _____.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
F(n) = 3n² - 7

f(-2) = 3(-2)² - 7
f(-2) = 3(4) - 7
f(-2) = 12 - 7
f(-2) = 5
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3 0
3 years ago
When the solutions are going to be complex, which methods can be used to solve quadratic equations?
yKpoI14uk [10]
You could complete the square to state the vertex. 
You could use the quadratic equation to find the roots (which are complex). 

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 2
c = 5

\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}
\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}
\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}
\text{x = }\dfrac{ -2 \pm 4i }{2}
x = -1 +/- 2i

x1 = -1 + 2i
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7 0
3 years ago
jerry has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how are quarters and how many a
jekas [21]
Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.

.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37

23 quarters
37 dimes


23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45
7 0
3 years ago
Simplify the expression: 2(5r + 8)
Ganezh [65]

Answer:

2(5r + 8) = 10r + 16

Explanation:

Given the expression:

2(5r + 8)

Remove the parentheses

2 × 5r + 2 × 8

= 10r + 16

8 0
9 months ago
Find ‘x’ in:- <br> x:6 :: 5 : 11
melomori [17]

Answer:

<h3>x:6 :: 5 : 11</h3>

x = 6*5/11=30/11

7 0
2 years ago
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