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Verizon [17]
4 years ago
8

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x^2+8x-1=0

Mathematics
1 answer:
BabaBlast [244]4 years ago
4 0
Divide given eq. by -2, we get, x^2-4x+0.5=0. Here a=1, b=-4 and c=0.5. As disccriminant is given by sqrt(b^2-4*a*c).so sqrt((-4)^2-4*1*0.5)=3.7417.
Real roots are x1,2=-b+-discriminant
x1=-4+3.7417=-0.2583 and x2=-4-3.7417=-7.7417
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Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the
klasskru [66]

Answer:

x = 1.02.

Step-by-step explanation:

The x is a factor worked out from  the annual interest  written as a decimal fraction.

So we have  2% = 2/100 = 0.02.

The amount at the end of the first year is $100 + 0.02*100

= $100* 1.02,  and in  the second year it will be $100* 1.02^t  where t = 2 and so on.

So we see that x in the given expression is 1.02.

5 0
4 years ago
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Naddika [18.5K]

Answer:

C

Step-by-step explanation:

The line of best fit is a linear function that is closest to all the points and shows the trend in the data. Since the data is going up ultimately, the slope of the line will be positive. Only B and C are options.

To find the best fit, draw a line through the center of the most points. This line will have as its y-intercept a value around 12 and a gentle slope. This means the answer choice is C.

6 0
3 years ago
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin
NISA [10]

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, \mu=8.04 g

Standard deviation, \sigma=0.08g

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

P(Xx_2)=0.03

P(X

=0.03

From z- table we get

P(Z1.88)=0.03

Therefore, we get

\frac{x_1-8.04}{0.08}=-1.88

x_1-8.04=-1.88\times 0.08

x_1=-1.88\times 0.08+8.04

x_1=7.8896

\frac{x_2-8.04}{0.08}=1.88

x_2=1.88\times 0.08+8.04

x_2=8.1904

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

5 0
3 years ago
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
Mars2501 [29]

Answer:

Option (4)

Step-by-step explanation:

An ordered pair (x, y) represents,

x = number of days that a library book is late

y = Total fee for the delay

Late fee of a library book = $0.30 per day

Then late fee of a book for the delay of 'x' days,

y = per day fee × number of days delayed

y = 0.30\times x

Option (1). For (-3, -0.90)

Since number days can't be negative so not the answer.

Option (2). For (-2.5, -0.75)

Number of days are negative so can't be the answer.

Option (3). For (4.5, 1.35)

Fee for 4.5 days will be,

y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]

Fee for 4.5 days will be the same as fee for 4 days.

y = $1.20

Therefore, this option will not be the answer.

Option (4). For (8, 2.40)

y = 0.30x

y = 0.30(8)

y = 2.40

Therefore, option (4) will be the answer.

3 0
3 years ago
Each of the 15,000 New England minutemen who occupied the hills in Boston was supplied with only 36 cartridges. If all 15,000 fi
aev [14]
Well, 1/4 of 36 is 9, so 15000*9= 13500 cartridges in all
5 0
3 years ago
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