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3 years ago

9

Calculate the discriminant and use it to determine how many real-number roots the equation has.

1 answer:

Vladimir79 [104]3 years ago

4 0

In a quadratic equation with the general formula of:

ax^2 + bx + c = 0

The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.

The discriminant for this equation is

(-6)^2 - 4(3)(1) = 24

Since 24 is not a perfect square, there are no real number roots.

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A Virginia county is considering whether to pay $50,000 per year to lease a prisoner transfer facility in a prime location near

Ratling [72]

Answer:

The county will plan to process 6000 prisoners per year.

Step-by-step explanation:

The holding area at the new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, a

We will multiply the effective capacity by 80%.

$0.8\times7500=6000$

Hence, the county will plan to process 6000 prisoners per year.

5 0

3 years ago

Solve the equation<br> z³=27

Sidana [21]

Answer:

z=27^(1/3)=3

check:3x3x3=27

Step-by-step explanation:

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3 years ago

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Emily wants to find out if the carpool line around her school causes too much traffic on neighborhood roads. which is a valid sa

ivanzaharov [21]

25 families living near her school

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4 years ago

Read 2 more answers

Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots inclu

Pepsi [2]

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

$99.90 + 89.90 = 189.80$

Step 2: Find the sales tax of the result

$\frac{8}{100}\times 189.8 = 15.184$

Step 1: Convert 8% to fraction
$8\%= \frac{8}{100}$
Simplify
$\frac{8}{100} = \frac{2}{25}$
Step 2: Convert 189.80 to a fraction
$189.80 = \frac{189.8}{1}$
Step 3: Set it up
$\frac{2}{25}\times \frac{189.8}{1}$
Step 4: Cross divide
$189.80 \div 25 = 7.592\\2 \div 1 = 2$
Step 5: Multiply the result
$7.592 \times 2 = 15.184$

Step 3: Add the result from the total cost of both items

$189.80 + 15.184 = 204.98$

The total cost of the hats and boots including sales tax is 204.98 dollars

7 0

3 years ago

A certain pump fills an empty pool at a rate of 600 cubic decimeters per second. If one meter is equivalent to 10 decimeters and

exis [7]

Answer:

108,0000 liters

Step-by-step explanation:

It should be 108,0000 liters because if there are 60 seconds per minute and the pump was on for 39 mins, 60 x 30 = 1800

Then 1800 seconds times 600 liters per second equals 108,0000 liters

3 0

4 years ago