All categories

3 years ago

What is the discrimination of the equation 0=x2+4x-2

1 answer:

4 0

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-2}
~~~~~~~~
\stackrel{discriminant}{b^2-4ac}\implies 4^2-4(1)(-2)\implies 24$

You might be interested in

You invest $15,000 to start a hot dog stand at the local sports complex. It costs you $.65 to produce each hot dog. How many hot

SCORPION-xisa [38]

Answer:

Below is the procedure to find the answer: 30,000 hot dogs.

Explanation:

The <em>average cost </em>is found dividing the total cost by the number of hot dogs:

$Average\text{ }cost=Total\text{ }cost/Number\text{ }of\text{ }hot\text{ }dogs$

The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:

$Total\text{ }cost=investment+Number\text{ }of\text{ }hot\text{ }dogs\times cost\text{ }to\text{ }produce\text{ }each\text{ }hot\text{ }dog$

Substitute the values:

$Total\text{ }cost=15,000+0.65x\\ \\ Averate\text{ }cost=(15,000+0.65x)/x=1.15$

Where x is the number of hot dogs.

Solve for x from the equation:

$(15,000+0.65x)/x=1.15\\ \\ 15,000+0.65x=1.15x\\ \\ 15,000=1.15x-0.65x\\ \\ 15,000=0.5x\\ \\ 15,000/0.5=x\\ \\ 30,000=x\\ \\ x=30,000$

Which shows you how you can find that the answer is 30,000 hot dogs.

8 0

3 years ago

If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function".

Ber [7]

Function...
Domain:9,8,7,-5
Range:1,-3,5,3

3 0

4 years ago

The cylindrical part of an architectural column has a height of 315 cm and a diameter of 30 cm. Find the volume of the cylindric

Yanka [14]

Answer:

Your answer would be A. 222.548 cm^3

Step-by-step explanation: I did it on a p e x and got it right :)

7 0

3 years ago

What is the value of this expression when a = 4, b = -5, and c = -7?

Ganezh [65]

Answer:

The value of the given expression is -878.08.

Step-by-step explanation:

Here, the given question is INCOMPLETE.

The complete question is:

Evaluate the expression for a = 4, b = -5, and c = -7. $4a^2b^{-2}c^3$

Here, substitute the vale of a = 4, b = -5 and c = -7, we get:

$4a^2b^{-2}c^3 = (\frac{4a^2c^3}{b^2}) = (\frac{4(4)^2(-7)^3}{(-5)^2})\\= (\frac{64 \times 343}{25}) =\frac{21,952}{25} = 878.08\\\implies 4a^2b^{-2}c^3 = 878.08 ( a = 4, b = -5 ,c = -7)$

Hence, the value of the given expression is -878.08.

8 0

3 years ago

What is the value of y in this system of equations?<br> (see attachment)

Ray Of Light [21]

My work and the answer is shown up in the picture.

I used the substitution method to check my answers by using x and y into the two equations.

3 0

3 years ago

Read 2 more answers