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3 years ago

What is y = X2 + 6x + 9 is x = -3

Mathematics

1 answer:

Triss [41]3 years ago

4 0

Answer:

y = 0

Step-by-step explanation:

x = -3

y = x² + 6x + 9

y = (-3)² + 6(-3) + 9

y = 9 - 18 + 9

y = 0

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Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales. What is his

monitta

Answer:

C) $573.75

Step-by-step explanation:

We can come up with the equation of this Gross Weekly pay as:

$P(t)=11.25t+0.045S$

Where P is the amount Larry will get paid, t is the time worked and S is the amount of sales he generated that week. This was derived from the fact that 11.25 is the slope and 0.045S is the y-intercept. By plugging in those values we have:

$P(35)=11.25(35)+0.045(4000)=573.75$

C) $573.75

4 0

3 years ago

Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the

Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0

3 years ago

Vera is using her phone.Its battery life is down to 2/5,and it drains another 1/9 every other. How many hours will her battery l

Margarita [4]

Let x be total hours of battery life. We have been given that battery life of Vera's phone is down to 2/5. So remaining battery life,

$1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}$

We have been also given that it drains another 1/9 every other hour. Now let us substitute our given information into an equation.

$\frac{1}{9}\cdot x=\frac{3}{5}$

Now we will solve for x.

$x=\frac{3\cdot 9}{5}=\frac{27}{5}$

$x=(5+\frac{2}{5})hours$

Let us convert 2/5 into minutes. We know 1 hour has 60 minutes.

$60\cdot \frac{2}{5}=24\text{minutes}$

Therefore, remaining battery life will be 5 hours and 24 minutes.

3 0

4 years ago

Read 2 more answers

Solve the following questions-

Setler79 [48]

Answer:

2/5

Step-by-step explanation:

To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.

<h3>units conversion</h3>

The conversion factor between minutes and seconds is ...

1 minute = 60 seconds

Multiplying this equation by 3 gives ...

3 minutes = 180 seconds

<h3>ratio of interest</h3>

Then the desired ratio is ...

(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180

= (36×2)/(36×5)

= 2/5

The ratio in its simplest form is 2/5.

3 0

2 years ago

Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?

natta225 [31]

Answer:

The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;

1) Supplementary linear pairs and

2) Vertical angles

3) Alternate angles

Given that either;

a) The corresponding angles that form the linear pairs are congruent

b) The corresponding vertically opposite angles are congruent

c) The corresponding alternate angles are congruent, we have;

The two lines are said to be parallel.

Step-by-step explanation:

5 0

3 years ago