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brilliants [131]
3 years ago
7

What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

\text{The value of }(b^2-4ac)\thinspace is\thinspace 169

Step-by-step explanation:

Given the equation 5x^2 + 7x = 6

we have to find the value of b^2-4ac

Equation: 5x^2+7x-6=0

Comparing above with general quadratic equation ax^2+bx+c=0

we get, a=5, b=7 and c=-6

b^2-4ac=(7)^2-4(5)(-6)=49+120=169

Hence,

\text{The value of }(b^2-4ac)\thinspace is\thinspace 169

shtirl [24]3 years ago
5 0
B²-4ac? 

<span>5x²+7x-6 = 0 </span>
<span>the form is ax²+bx+c = 0 </span>

<span>a=5, b=7, c=-6 </span>


<span>The discriminant D = b²-4ac </span>
<span>= 7² - 4(5)(-6) = 49 + 120 </span>
<span>= 169 </span>
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2 years ago
The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.
iren [92.7K]

Answer:


Step-by-step explanation:

S=student cost; T=teacher cost

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32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

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25S+2T=$97.50 . Multiply this by 3.

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64S+6T=$254 . Subtract this (from above.)

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11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.


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32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

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CHECK:

25S+2T=$97.50

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3 years ago
Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 w
Keith_Richards [23]

Answer:

The minimum guaranteed mileage is  x = 71489.55

Step-by-step explanation:

From the question we are told that

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Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    P( X  \ge x ) =1-  P( \frac{X - \mu }{\sigma } < \frac{ x -  67900 }{ 2050}  ) = 0.04

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

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=>  P( X  \ge x ) = P( Z

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From the z table, the critical value corresponding to 0.96 to the left of the curve is  

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So

        1.751 = \frac{ x -  67900 }{ 2050}

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Step-by-step explanation:

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