What is the discriminant of the quadratic equation 3 - 4x = -6x^2-68
-56
76
88

Answers

Answer 1

Answer:

Answer: B) -56

Step-by-step explanation: In a quadratic equation, the discriminant helps tell you the number of real solutions and it is:

$b^(2) -4ac$

To calculate the discriminant of the given equation, we need to write it in the standard form (we equal it to zero):

$6x^(2) -4x+3=0$

here we can see that a=6; b=-4; and c=3

so the discriminant would be:

$(-4)^(2) -4*6*3$ =

16-72=-56

Answer 2

Answer: The discriminant is -56.

The discriminant is found using

b²-4ac, after the quadratic is in standard form. First, we will add 6x² to both sides to write it in standard form:
3-4x=-6x²
3-4x+6x²=-6x²+6x²
6x²-4x+3=0

We can now see that b=-4, a=6 and c=3:

(-4)²-4(6)(3)
16-72
-56

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Tameron is driving 540 miles to college. If he drives at an average rate of 45 miles per hour, how many hours will it take him to get 34 of the way there?
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Find the area of a polygon with the vertices of A (0,1) B (0,5) C (4,5) D (6,1

Answers

your area is 25 square units

Negative 120 divided by 15

Answers

-120 ÷ 15 = -8.

Hope this helps.

What is 45 1/2% as a fraction in simplest form?

Answers

For this case we have the following expression:
45 1/2%
Rewriting in decimal form we have:
45.5%
Then, the percentage in its numerical and decimal form is:
$45.5 * (1/100) = 0.455$
We now write the decimal in the form of a fraction.
We have then:
$0.455 * (1000/1000) = 455/1000$
Simplifying the fraction we have:
$(455/1000) * ((1/5) / (1/5)) = 91/200$
Answer:
The expression given in the form of fraction is:
91/200

Final answer:

45 1/2% is equivalent to 91/200 as a fraction in simplest form.

Explanation:

To convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100. In this case, 45 1/2% can be written as 45 1/2/100. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. Simplifying the fraction gives us the answer: 91/200.

Learn more about Converting Percents here:

brainly.com/question/34057217

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Zena and Audrey are on the same bowling team. The sum of their averages is 299. If Zena's average is 13 pins greater than Audrey's average, what is Zena's average?119
104
156
169

Answers

Easier than it looks, all you have to do is first subtract 13 from 299. You should get 286. Then, you just divide this number by two to get 143. Finally, since it asks for ZENA'S average, you add the 13 back to 143 to get the final answer of the average number of pins Zena took down, which is 156!

Find the slope of the line that passes through the points. (1,2) and (-2,2)

Answers

Answer:

Step-by-step explanation:

the slope formula is y2-y1/x2-x1, plug it in, 2-2/-2-1, 0/-3 or 0

Answer:

The slope is 0.

Step-by-step explanation:

To find the slope, first you have to use the slope formula of $\displaystyle (y_2-y_1)/(x_2-x_1)$ .

y2=2

y1=2

x2=(-2)

x1=1

$\displaystyle (2-2)/((-2)-1)=(0)/(-3)=0$

Therefore, the slope is 0.

What is 36 minutes as a fraction of an hour ?

Answers

³/₅

Further explanation

The Problem:

What is 36 minutes as a fraction of an hour?

The Process:

This time we will complete how to express minutes as a fraction of an hour.

We already know that one hour is 60 minutes, or there are 60 minutes in an hour.

$\boxed{ \ 1 \ hour = 60 \ minutes \ }$

Or it can also be written as follows:

$\boxed{ \ 60 \ minutes = 1 \ hour \ }$

To express the number of minutes as a fraction of an hour, we place the number of minutes above 60 and simplify. In other words, we divide the number of minutes by 60.

$\boxed{ \ (36)/(60) = \ ? \ of \ an \ hour \ \ }$

Divide both 36 and 60 by 12, since HCF (highest common factor) is 12.

$\boxed{ \ = (36 / 12)/(60 / 12) \ }$

$\boxed{\boxed{ \ = (3)/(5) \ }}$

Thus, 36 minutes is $(3)/(5)$ of an hour.

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Keywords: what is 36 minutes, as a fraction of an hour, divide, 60 minutes, simplify, HCF, highest common factor

The fraction of an hour's that makes up the 36 minutes portion would be = 3/5