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RSB [31]
3 years ago
9

What are the roots of -12x2 + 11x − 3 = 0?

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0
This quadratic does not have any real roots.
It is a parabola that opens downward with vertex at (11/24, -.48) which means the vertex is below the x-axis and therefore will not have any real roots.

Imaginary roots would be
x = [11 +- sqrt (121 - 4(-12)(-3)] / (-24)
x = [11 + - i sqrt(23) ] / (-24)
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Johann wants to build a set of wood shelves using a piece of wood that is 83 ½ inches long. Each shelf is an equal length of 12
Oksanka [162]

Answer:

He'll be able to make 6 shelves.

Step-by-step explanation:

In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:

total amount = 83 1/2 inches = 83.5 inches

amount per shelve = 12 3/4 inches = 12.75 inches

amount of shelves = total amount/amount per shelve

amount of shelves = 83.5/12.75 = 6.55 shelves

Since he can't make half shelves he'll be able to make 6 shelves and have left over material.

3 0
3 years ago
In which quadrant does the point s(-3, -4) lie?
juin [17]

Answer:

It's in quadrant 3

5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Paraphin [41]

Answer:

B. 5x - 4y = 12

Step-by-step explanation:

Let's convert this to slope-intercept form to interpret the equation easier.

5x - 4y = 12

Subtract 5x from both sides.

-4y = -5x + 12

Divide both sides by -4.

y = 5/4x - 3

Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.

7 0
3 years ago
Divide 20 chocolates between Adi and Suresh such that adi gets 60% while Suresh gets 40% of the chocolates
Eddi Din [679]

Hello!

To find how much chocolate Adi and Suresh receives, you need to convert the percentage to a decimal, then you multiply that decimal by the total number of chocolates, which is 20.

To convert percentages to decimals, divide the percentage by 100, and remove the percentage.

60% / 100 = 0.60

20% / 100 = 0.20

Then, we multiply 0.60 and 0.20 by 20.

0.60 x 20 = 12

0.40 x 20 = 8

Therefore, Adi gets 12 chocolates and Suresh gets 8 chocolates.

6 0
3 years ago
Write an equation of the line using the given information:
grigory [225]
Y - y1 = m(x - x1)
slope(m) = 2/5
(6,2)....x1 = 6 and y1 = 2
now we sub
y - 2 = 2/5(x - 6)
7 0
3 years ago
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