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Likurg_2 [28]
3 years ago
9

Find the values for a, b, and c for this quadratic equation. -3x^2 - 5x = 1​

Mathematics
2 answers:
Ne4ueva [31]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Quadratic Equation: ax^2+bx+c=0

Hope this helps!

Alchen [17]3 years ago
3 0
A is -3x^2, b is -5x c is -1
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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
4 years ago
Paul, Colin and Brian are waiters.
Kisachek [45]

Add the ratios together: 2 + 3 +4 = 9

Divide the total tips by 9:

77.40 / 9 = 8.60

Multiply each portion of the ratio by 8.60:

2 x 8.60 = 17.20

3 x 8.60 = 25.80

4 x 8.60  = 34.40

The ratios are in order of the people:

Paul got 17.20

Colin got 25.80

Brian got 34.40

Brian got 34.40 - 17.20 = 17.20 more than Paul

7 0
3 years ago
Joshua is making spaghetti and meatballs for dinner for his friends. Joshua makes 30 meatballs. If Joshua wants 5 meatballs on e
Scilla [17]

Answer:

x = 6

Step-by-step explanation:

Given

Let y represent the number of meatballs in total and x represents the number of plates.

y = 30

Rate = 5 per plate

Required

Determine the value of x

To solve for x, we make use of the following expression.

y = Rate * x

Substitute values for y and Rate

30 = 5 * x

30 = 5 x

Divide through by 5

30/5 = 5 x/5

6 = x

x = 6

<em>Hence, number of plates is 6</em>

7 0
3 years ago
How do you know if an angle is acute or obtuse?
ValentinkaMS [17]
<span>obtuse angle is greater than 90 degree
acute angle is less than 90 degree</span>
8 0
3 years ago
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What is the value of 56.13?
SpyIntel [72]

Answer:

The value is Approximately 56

8 0
4 years ago
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