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HACTEHA [7]
3 years ago
13

Y = x2 – 3x + 2use the discriminant to determine the number of solutions​

Mathematics
2 answers:
djverab [1.8K]3 years ago
8 0

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

anygoal [31]3 years ago
6 0
Mj3mar gave the answer thanks to him I wouldn’t have got my question right
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You can multiply or you can estimate it!

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4 0
3 years ago
Read 2 more answers
jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest
sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

Length = 1\frac{2}{3}m

Pieces = \frac{3}{4}m

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

x= \frac{Length}{Pieces}

x= 1\frac{2}{3}/\frac{3}{4}

Convert mixed numbers to improper fraction

x= \frac{5}{3}/\frac{3}{4}

Change division to multiplication

x= \frac{5}{3}*\frac{4}{3}

x= \frac{20}{9}

x = 2.22

<em></em>x = 2<em> </em>

6 0
3 years ago
A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookselle
Ganezh [65]

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

3 0
3 years ago
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in
statuscvo [17]

Answer:2.2%

Step-by-step explanation:

7 0
3 years ago
Can someone help me
jeka57 [31]
Number one is really easy just set it up in proportions. 420 over x and 7 hours over 24 cause you know there 24 hours in a day and then cross division and simplify. I think.
8 0
3 years ago
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