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vivado [14]
3 years ago
14

Find the following when a = -1, b = 2, c = -1/4 (4b - 3)/(2a) -1

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0
We substitute the given into the equation
given: a=-1, b=2, c=\frac{-1}{4}
=(\frac{4b-3}{2a}-1
=\frac{4(2)-3}{2(-1)}-1
=\frac{8-3}{-2}-1
=\frac{5}{-2}-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
\frac{5}{-2}=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=\frac{5}{-2}\frac{-1}{1}×\frac{-2}{-2}         (denominator should be -2=common)
=\frac{5}{-2}+\frac{2}{-2}
=\frac{7}{-2}
which also = to -3.5
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What is the expression in factored form?x^2+13x+14
nydimaria [60]

Answer:

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

Step-by-step explanation:

To factor the expression x^2+13x+14 you need to know its roots.

First find the discriminant of this quadratic polynomial:

D=13^2-4\cdot 1\cdot 14=169-56=113.

Then the roots of the expression x^2+13x+14 are

x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.

Now the factored form is

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

8 0
3 years ago
For every one litre of water used to make medicine,199ml of sucrose and 271ml of saline solution are used. Express the amount of
Elenna [48]

Answer:

1000 : 199 : 271

Step-by-step explanation:

A rations a form of comparison between different variables or quantities.

We want to compare how much water, sucrose and saline solution are used to make the medicine.

The amount of water used is 1 L = 1000 mL

The amount of sucrose used is 199 mL

The amount of saline solution used is 271 mL

Therefore, the ratio of water to sucrose to saline solution is:

1000 : 199 : 271

This is the simplest form because 1000, 199 and 271 do not have any common factors.

8 0
3 years ago
What numbers fall between -0.26 and -0.27
Paraphin [41]
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8 0
2 years ago
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Softa [21]

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12

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2 years ago
Find the value of<br> (-3)<br> Show work<br> Must show work!!
guajiro [1.7K]

Answer:

16/81

Step-by-step explanation:

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expand...

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multiply

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Thus the fraction is 16/81

Hope this helps!!!

8 0
2 years ago
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