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balu736 [363]
3 years ago
13

Which Quadratic equation is equivalent to (x-4)^2-(x-4)-6=0

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
6 0

For this case, we must find the quadratic equation equivalent to:

(x-4) ^ 2- (x-4) -6 = 0

By definition we have to:

(a-b) ^ 2 = a^2-2ab + b ^ 2

So:

(x-4) ^ 2 = x ^ 2-2 (x) (4) + 4 ^ 2 = x ^ 2-8x + 16

So, we have:

- * + = +\\- * - = +

x ^ 2-8x + 16-x + 4-6 = 0

Equal signs add up and the same sign is placed.

Different signs are subtracted and the sign of the major is placed.

x ^ 2-9x + 14 = 0

Answer:

x ^ 2-9x + 14 = 0

MrMuchimi3 years ago
5 0

Answer:

x²-9x+14 is the quadratic equation.

Step-by-step explanation:

We have given the equation:

(x-4)²-(x-4)-6=0

We have to find the quadratic equation equivalent to the given equation.So,

(x-4)²-(x-4)-6=0

As we know that, (a-b)²=a²+b²-2ab  then we get,

x²+16-8x-x+4-6=0

x²-9x+14=0

x²-9x+14 is the quadratic equation equivalent to (x-4)²-(x-4)-6=0

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Answer:

31.25×

Step-by-step explanation:

suppose that the value of x was 3 . that would mean that they bought 3 calculators .

if one calculator is $31.25 then 3 would be $31.25× 3

the same rule would apply for x

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In the slope-intercept equation of a line, which quantity is given by the coefficient of the x-term? A. The y-intercept of the l
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Roll the number cube to find the observed frequency. Which statements are true? Check all that apply
ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

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The theoretical probability is:

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The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

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Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

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n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

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