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3 years ago

Explain why 3x^2+kx-1 is never always positive for any value of k

1 answer:

8 0

Hello :
<span>(3x²+kx-1) is a quadratic polynome when : a =3 , b=k , c= -1
the discriminat </span>Δ = b²-4ac ≥ 0 because ac = -3 <span><<span> 0
-4ac </span></span>>0 and b²<span>≥0
the </span> quadratic polynome has :2 solutios or 1 solution (Change of sign)
conclusion : <span>is never always positive for any value of k</span>

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Calculate the pay for the following day of a<br> weekly time card given a wage of $12.50/hr.

Elenna [48]

The one day pay is $106.25 rounded to the nearest hundredth.

<u>Step-by-step explanation:</u>

<u>From the table shown :</u>

The timing shown in the morning is from 8:00 to 12:15
The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The timing shown in the afternoon is from 8:00 to 12:15
The number of hours worked in the morning = 4 hours 15 minutes.

Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.

⇒ 53.125 + 53.125

⇒ 106.25

∴ The one day pay is $106.25 rounded to the nearest hundredth.

7 0

2 years ago

Mai's water bottle had 24 ounces in it. After she drank x

snow_tiger [21]

Answer:

Option B and C is correct

Step-by-step explanation:

<h3><u>Given</u>;</h3>

Priya has 5 pencils, each x inches in length.
Total length = 34.5 inches.

Now,

5 times x = 34.5

So,

5x = 34.5

34.5 ÷ 5 = x

Thus, 5x = 34.5 and 34.5 ÷ 5 = x are the answer

<u>-TheUnknownScientist 72</u>

5 0

2 years ago

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10

Nutka1998 [239]

If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

${a}^{2} + {b}^{2} = {c}^{2}$
Then you have to pose the formula in terms of one of the legs, so:

${a}^{2} = {c}^{2} - {b}^{2}$
$a = \sqrt{ {c}^{2} - {b}^{2}}$
So when you change the letter for numbers you have that:

$a = \sqrt{ {58}^{2} - {42}^{2} }$

a=40

5 0

2 years ago

Atriangle was translated 4 units down.

loris [4]

Answer:

Idk if this is right but I think it's The transformed shaped shifted 7 units to the right so add 7 to x and it shifted 6 units down so subtract 6 from y.

The answer is (x,y) = (x+7) (y-6)

Hope this helps!!!?

7 0

3 years ago

Read 2 more answers

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

Elden [556K]

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

<h3>Who had a head start, and how big was the head start?</h3>

Generally, To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion, who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.