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3 years ago

Use the discriminant to determine the nature of the roots of the following equation. y^2 - 5y - 3 = 0

1 answer:

6 0

Here a=1, b= -5 and c= -3

so the discrim. is b^2 - 4(a)(c), or (-5)^2 - 4(1)(-3) = 25 + 12 = 37.

Because the discrim. is +, you'll have 2 real, unequal roots.

You might be interested in

What is the geometric mean of 4 and 5

vladimir2022 [97]

The geometric mean 4.472135955 hope this helps

8 0

4 years ago

The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p

eimsori [14]

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 64

Given standard deviation of the Population (σ)=100

Mean of the sample (x⁻) = 350 hours

95% of confidence interval is determined by

$(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )$

( $(350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} } )$

(350-24.5 , 350+24.5)

(325.5 , 374.5)

Conclusion:-

Yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

4 0

3 years ago

Find the perimeter of each figure. Simplify.

Kay [80]

Answer:

5)14x+4

6)20x

Step-by-step explanation:

5)8x+6x+4

6) 5x×4

3 0

3 years ago

Callie brought 2 gallons of juice for 2.58 per gallon.She sold the juice in 1-cup servings for 0.75 each.Each serving is 1/16 ga

Elena L [17]

To be exact she made a profit of $6.84!

2.58+2.58=5.16 This is how much she has to make to make a profit.

0.75*16=12 She made $12 in total :)

hope it helps:))

6 0

3 years ago

5x+4y = -14 3x+6y=6 What is the answer

iren [92.7K]

Hallo! Her er svaret ditt på dette spørsmålet! ☺

Answer: If you are solving by Substitution, your answer will be...

Point form : (-6,4)

Equation form : x=-6 , y=4

Step-by-step explanation: Solve for the first variable in one of the euations, then substitute the result into the other equation.

Hope this helps you out! ☺

4 0

4 years ago