The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.

Answer:

The domain of the graph is (-infinity, infinity)

The range of the graph is [0, infinity)

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Answer:

  C.  y = 50x + 3.5

Step-by-step explanation:

100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...

  y = 50x +3.5 . . . matches choice C

Answer:

Step-by-step explanation:

Answer:

it is c $10.80

The sales tax on clothing that costs $180 is $10.80 with 6% sales tax. The correct answer is option c.

Given that:

The cost of cloth is $180.

Sales tax is 6%.

To calculate the sales tax on clothing that costs $180 at a rate of 6%, follow these steps:

Convert the sales tax rate to a decimal: 6% = 6/100 = 0.06

Sales tax can be calculated by using the formula given below:

Sales tax = Cost of clothing × Tax rate

Multiply the clothing cost by the sales tax rate to find the sales tax amount:

Sales tax = Cost of clothing × Tax rate

Sales tax = $180 × 0.06 = $10.80

Hence, the required value is $10.80. The correct answer is option c.

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Answer:

Domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]

Step-by-step explanation:

The relation refers to the collection of ordered pairs, which contains an element from one set to another set.

Domain of a relation [tex]y=f(x)[/tex] is all the values [tex]x[/tex] that go into a function, and the range is a set of all the values [tex]f(x)[/tex] that are obtained for the given domain.

The given relation is [tex]\{(2,-1),(8,16),(30,9),(46,16)\}[/tex]

Here, domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]

Answer:

p=2/3 mn

p/n=2/3 m(

(3)p/n=2/3(3)m

3p/n=2m

3p/2n=2m/2

3p/2n=m (letter B)

Answer:

1

Step-by-step explanation:

27 divided by 26.

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

Total 32 games home and away games have been played.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

From the bar chart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7)

= 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5)

= 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals scored / mean goals

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Therefore, number of home and away games played in total = 22 + 10 = 32 games

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Answer:

360"

Step-by-step explanation:

Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.

Answer:

la respuesta correcta es laC

han ku po ammo paumahin

Answer:

Both castles will have the same height at 3.33 minutes

Step-by-step explanation:

This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.

Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:

[tex]H_J=180-8t[/tex]

Where t is the time expressed in minutes.

Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:

[tex]H_T=160-2t[/tex]

To find when both castles have the same height, we set:

[tex]180-8t=160-2t[/tex]

Simplifying:

6t=20

Solving:

t=20/6=3.33\ minutes

Both castles will have the same height at 3.33 minutes

Answer:

B = 40 - 8t

Step-by-step explanation:

Given that:

Rate at which battery life discharges = 8% per hour ;

Battery life left after 3 hours = 16%

t = hours after Lucy left hiuse

Equation B will be ;

Amount of charge before leaving home - (Discharge rate * number hours)

Amount of charge before leaving home :

Charge left after 3 hours + discharge rate * 3

16% + 8*3

16% + 24% = 40%

Hence,

B = 40 - 8t

Answer:

probably B = 40 - 8t

Step-by-step explanation:

Answer:

4x+10

Step-by-step explanation:

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

(small)     10 cups   =   100%

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need 30% more than the small box, so:

10 + 3 = 13 cups

Answer:

a=m-b-z

Step-by-step explanation:

Answer:

a = -z + m -b

Step-by-step explanation:

Sorry my handwriting is a bit messy,  but hopefully it helps. Have a great day!

Answer:

The correct answer is C. controlling interstate and foreign trade

Based on the Constitution, all of the above are Reserved powers except, C.  controlling Interstate and foreign trade

Reserved powers are those that are reserved for state governments and some of them are:

Regulating interstate and foreign trade is the responsibility of the federal government as it does so on behalf of all states in a joint manner.

In conclusion, regulating foreign and interstate trade is not a reserved power.

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Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

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Answer:

This is so easy question .

I can do.

Step-by-step explanation:

Hey there!

Here;

The given points are; (6,5) and (9,p).

Slope (m)= -4

Use slope formula;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]

Simplify it to get answer.

[tex] - 4 = \frac{p - 5}{3} [/tex]

[tex] - 12 + 5 = p[/tex]

Therefore, p= -7.

Hope it helps...

Answer:

17 m

Step-by-step explanation:

As shown in the figure,  [tex]A_0-B_0[/tex] is the ground level, [tex]A_1-B_1[/tex] is the old level of water which was at 20 m below ground level, [tex]A_2-B_2[/tex] is the new level of water which is 5m above of old level. The height of wall of the well, 1.20 m, and the the pelly at 80 cm =0.80 m, has been shown too.

The minimum length of the rope is equal to the distance between the pully and the new water level, indicated by the length [tex]L_0[/tex] in the figure.

So, [tex]L_0= 20-5+1.20+0.80= 17m[/tex]

Hence, Raghu must use a rope having the minimum length 17 m to draw water from the well.

Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

c'(5,2)

(x,y)→(x+1,y+4)

Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.

Im really bad at explaining things but hope this helps:)

Answer: Required ratio= 3:1.

larger bed has 3 square feet of area of every 1 square feet on smaller bed.

Step-by-step explanation:

Given: Felipe has a flower bed with area [tex]\dfrac{25}4[/tex] square feet.

He expands the flower bed to have area [tex]\dfrac{75}4[/tex] square feet.

Now, area on larger flower bed  for every square foot of the smaller flower bed = (area of larger bed) ÷ (area of smaller bed)

[tex]= \dfrac{75}{4}\div\dfrac{25}{4}=\dfrac{75}{4}\times\dfrac{4}{25}=\dfrac{3}{1}[/tex]

So, larger bed has 3 square feet of area of every 1 square feet on smaller bed.

Required ratio= 3:1.

Answer:

Step-by-step explanation:

(1,1) ==> (-1,-1)

(4,2)==>(-4,-2)

(4,4)==> (-4,-4)

The triangle is shown below, after rotting 180 degrees about the origin.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).

When the triangle is rotated through 180 degrees about the origin,

The sing of the vertices changes.

The sign will be changed as.

(1, 2) = (-1, -2)

(4, 2) = (-4, -2)

(4, 4) = (-4, -4)

The triangle after rotating 180 degrees show.

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Answer:

impossible you cant get one that is over 5 if it only goes to 5

Step-by-step explanation:

Answer: 122°F

Step-by-step explanation:substitute 50°C anywhere in the formula that has the C