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QveST [7]
3 years ago
10

Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into t

he quadratic formula? Please show all steps to get to the answer, please!!
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

<h2>x = -2+i√5 and  -2i-√5</h2>

Step-by-step explanation:

The general form of a quadratic equation is ax²+bx+c = 0

Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;

ax² = x²

a = 1

bx = 4x

b = 4

c = 9

The quadratic formula is given as x = -b±√(b²-4ac)/2a

Substituting the constant;

x = -4±√(4²-4(1)(9))/2(1)

x = -4 ±√(16-36)/2

x = -4±√-20/2

x = -4±(√-1*√20)/2

Note that √-1 = i

x = -4±(i√4*5)/2

x = (-4±i2√5)/2

x = -4/2±i2√5/2

x = -2±i√5

The solution to the quadratic equation are  -2+i√5 and  -2i-√5

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C.

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10 cups divided by 4 containers  = 2.5 or 5/2 cups per 1 container

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Answer:50% red 4/42 ace

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3 years ago
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3 years ago
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
2 years ago
Correct answers only please!
Naily [24]

Answer:  

1st Question

A. 85

2nd Question  

B. 71

Step-by-step explanation:

1st Question

{90 + 94 + 96 + 90} = 370/4 = 92.5

{95 + 99}                  = 194/2 = 97

{87 + 75 + 82 + 85} = 329/4 = 82.25

{71}                =  71/1               = 71

.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175  Rounded-up = 85

___________________________________________________

2nd Question  

.10(95) +.20(80) +.50(67) +.20(60) = 71

7 0
3 years ago
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