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Vikentia [17]
3 years ago
9

Complete the square to solve 4x^2 + 24x = 4

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

x=+√10-3

Step-by-step explanation:

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Rom4ik [11]

The domain of a function is where we have a value for x.

Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}

We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle

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8 0
3 years ago
Five adult tickets and three child tickets for a movie costs £55. The cost of buying two adult tickets and three child tickets i
Allisa [31]

Answer:

  • adult £8
  • child £5

Step-by-step explanation:

If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...

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Each child ticket is then £15/3 = £5.

An adult ticket costs £8; a child ticket costs £5.

7 0
3 years ago
(fog)(x). F(x)=3x, g(x)=x+7
ivann1987 [24]

For this case we have the following functions:

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So:

f (g (x)) = 3 (x + 7) = 3x + 3 * 7 = 3x + 21

Finally, the composite function is:

(f_ {0} g) (x) = 3x + 21

Answer:

(f_ {0} g) (x) = 3x + 21

4 0
3 years ago
Help with this one please
den301095 [7]

  point R ((:

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3 years ago
Complete the square to write the equation, 4x2 + 24x – y + 43 = 0, in standard form.
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Answer:

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7

Step-by-step explanation:

Edg2021

5 0
2 years ago
Read 2 more answers
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