Please help
Part A
Which is the vertex form of the function f(x) = 3x2 – 30x + 71?
O
A. 3(x - 5)2 - 4
B. 2(x – 6)2 - 1
C. 3(x – 4)2 + 23
D. 5(x – 4)2 – 9
Part B.
What is the vertex of the function?
vertex = (

Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.

Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.

The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:

£2550 - (0.05 * x) < £1200

where x is the number of months.

You can re-arrange the equation to solve for x:

x > (2550 - 1200) / 0.05

x > (1350) / 0.05

x > 27

So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

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Answer:

the rate at which the temperature drops

the day of the week

Step-by-step explanation:

Since we can choose the number of hour, it is dependent on us.

If we set time = 2, then it would 5 x 2 = 10 degree

Similarly, if we change time, the temperature changes. Thus, it is dependent.

Temperature is dropping at a rate of five degrees per hour.

If t = 1, T = 5*1 = 5°, rate = 5

if t = 2, T = 5*2 = 10°, rate = 5

if t = 3, T = 5*3 = 15°, rate = 5

Notice that rate doesnt change, even the temperature and time changes.

Thus, rate is independent.

Answer:

B. $15.66

Step-by-step explanation:

Hamburgers: 5 x 1.40 = 7

Sodas: 6 x 1.25 = 7.5

Total food cost = 14.50

tax is 8%, 0.08 as a decimal

14.50 x 0.08 = 1.16 tax

add food total and tax:

14.50 + 1.16 = $15.66

For the given issue, x has a value of 4. The offered solution is the solution extraneous .

When we solve equations, we often obtain values that aren't actually the answer to the equation.

A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.

√(11x + 5) = 7

(11x + 5) = 7²

11x + 5 = 49

11x = 49 - 5

11x = 44

x = 4

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Answer:

1.  1/6x + 5/6

2. 1/3x + 2/3

Step-by-step explanation:

Answer:

- 1/6x + 5/6, 1/3x + 1

Step-by-step explanation:

1. 1/2 (x + 1) - 1/3 (x - 1) = 1/2x + 1/2 - 1/3x + 1/3 = - 1/6x + 5/6

2. x - 2/3 (x - 1) = x - 2/3x + 1 = 1/3x + 1

Answer:

change the order, so the terms line up

20g+15m=300

g+m=17

multiply the second equation by 20, so the 20g and -20g can cancel out

20g+15m=300

-20g-20m=-340

solve the equation, then divide -5 to both sides to isolate the m

-5m=-40

m=8

substitute the value of m into one equation to find the other value

g+8=17

g=9

write them in ordered paired form

(9, 8)

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

lol no

Answer:

That's easy! four thousand two hundred and seven or 4,000+200+7

Step-by-step explanation:

Step-by-step explanation:

im not sure but,

Answer:

function is the correct answer in my opinion hope it's helps you

let the third side be b then use the pythagoras theorem

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

Answer:

15

Step-by-step explanation:

Answer:

5.5; 11.00; 16.50

[tex]E = 5.5h[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): Complete the table

First, calculate the slope (m)

[tex]m = \frac{E_2 - E_1}{h_2 - h_1}[/tex]

So:

[tex]m = \frac{27.5- 22.00}{5-4}[/tex]

[tex]m = \frac{5.50}{1}[/tex]

[tex]m = 5.50[/tex]

So, the equation of the table is:

[tex]E = m(h - h_1) + E_1[/tex]

[tex]E = 5.5(h - 4) + 22[/tex]

[tex]E = 5.5h - 22 + 22[/tex]

[tex]E = 5.5h[/tex]

When h =1,2,3

[tex]E = 5.5 * 1 = 5.5[/tex]

[tex]E = 5.5 * 2 = 11.00[/tex]

[tex]E = 5.5 * 3 = 16,50[/tex]

Answer:

I think it is 23 5/8

Step-by-step explanation:

b*h

The only option that is not a compound event is; (2) pulling a king out of a deck of cards

Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.

Thus, a simple event has only one outcome while  a compound event involves the probability of more than one outcome

1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome  and so this is a compound event.

2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.

3) This is a compound event because we are dealing with two independent probabilities.

4) This is a compound event because we are dealing with two independent events which are true or false answers.

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Answer:

Step-by-step explanation:

Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.

Answer:

[tex] \frac{34.25}{6.5} [/tex]

Answer:

76 people

Step-by-step explanation:

3.809% will by more than one.

this times 2000 is 76.1904

you cant have fractions of people

Answer: 1.15384615385

Step-by-step explanation:

divide

Answer:

xxxtentacion=6&20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The sum of any two intieior angles in a triangle equal to the opposite angle.

So 30 + 5X + 15 = 9X - 3

Solving for X

48 = 4X

X = 12

Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Answer:

Step-by-step explanation:

Total after tax:

x(1+0.06)

x(1+0.06)

x(1.06)

x(1.06)

1.06x

1.06x

{Total after tip:}

Total after tip:

1.06x(1+0.22)

1.06x(1+0.22)

1.06x(1.22)

1.06x(1.22)

1.2932x

1.2932x

Answer:

<QRS = 40 degrees

Step-by-step explanation:

Supplementary angles are 180 degrees therefore if angle ABC is 140 degrees that would mean that angle QRS has to be 40 degrees.

Hope this helped!

Have a good day!

Answer:

Trapezoid

Step-by-step explanation:

The math

Answer:

97.95% of these nuts will meet the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.

This means that [tex]\mu = 8.62, \sigma = \sqrt{4.49}[/tex]

Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?

The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So

X = 13

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a p-value of 0.9808.

X = 2.25

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.25 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = -3.01[/tex]

[tex]Z = -3.01[/tex] has a p-value of 0.0013.

0.9808 - 0.0013 = 0.9795

0.9795*100% = 97.95%

97.95% of these nuts will meet the specification limits.