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vaieri [72.5K]
3 years ago
5

How do you do number 2? Help please and thank you.

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

{3,-1}

Step-by-step explanation:

m^2 -2m -3=0

What 2 numbers multiply to -3 and add to negative 2

-3* 1 = -3

-3 +1 =-2

(m-3) (m+1) =0

Using the zero product property

m-3 = 0  m+1 =0

m=3        m=-1

{3,-1}

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Is 5.78778777 a rational or irrational number?..
kupik [55]

That number is the ratio of 578,778,777 to 100,000,000 , so it's rational.

Here's a surprising factoid:

ANY number that you can completely write down on paper with digits...
and a decimal point or a fraction bar if you need them ... is rational.

If you can write it down ... without saying "repeating" or using symbols ...
it's rational.


5 0
3 years ago
What is between 68 2/3 and 72 1/2 (options) 68 3/10, 747/11, 68 1/2, 550/8
enyata [817]
Why not write all of the numbers in decimal fraction form, to make them easier to compare?

68 2/3 = 68.666...
72 1/2 = 72.500
68 3/10 = 68.300
74 7/11 = 74.636...
68 1/2  = 68.500
550/8 = 68.750

Now ask yourself:  Which of the last four numbers is between 68.666.. and 72.500?
3 0
3 years ago
Read 2 more answers
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
Well he buys two books at a bookstore. He spent $44.52 after 6% sales tax is applied, but the clerk does not provide him with th
mart [117]

Let x represent the cost of book B

Book A: $17.50

Book B: x

Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x

book A + book B + sales tax = total cost

(17.50) + (x) + (1.05 + .06x) = 44.52 <em>plugged in all of the values</em>

18.55 + 1.06x = 44.52 <em>added like terms</em>

1.06x = 25.97 <em>subtracted 18.55 from both sides</em>

x = 24.50 divided 1.06 from both sides

Answer: $24.50

8 0
3 years ago
Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest
kherson [118]

Answer:

The interest is

<h2>$ 769.50</h2>

Step-by-step explanation:

Simple interest is given by

I =   \frac{P \times  R  \times T}{100}

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

I  =  \frac{5700  \times 4.5 \times 3}{100}

I =  \frac{76950}{100}

We have the final answer as

I = $ 769.50

Hope this helps you

3 0
3 years ago
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