Enter an equation in standard form to model the linear situation. A bathtub that holds 23 gallons of water contains 13 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

Answer:

et's start by defining the three consecutive integers.

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If x represents the least of the three, then the next consecutive integer is x+1 and the

next consecutive integer is 1 more than that ... or x + 2

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So the three consecutive integers are x, x+1, and x+2.

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Twice the least integer is, as you correctly wrote, 2x.

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12 more than the greatest integer is x+2 + 12 = x + 14

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Since these two amounts must be equal, you can write:

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2x = x + 14

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Now you need to get rid of the x on the right side so that you end up with all the terms

containing x on one side of the equation and everything else on the other side. You can

get rid of the x on the right side by subtracting x from the right side. But if you subtract

something from the right side, you must also subtract it from the left side to keep the

equation in balance. So subtract x from both sides. When you do that, the x disappears

from the right side and the left side becomes 2x minus x which is just x.

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So the equation is reduced to:

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x = 14

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If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the

three consecutive integers are 14, 15, and 16.

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Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more

than the greatest integer which is 16? Yes it is, so the problem checks.

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You were on the right track, but you just needed to know the difference in the three integers

was that they were x, x+1, and x+2. Hope this helps to show you how you could work the

problem through to get the final answer.

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

All you do is make 2 3/4 a improper fraction and then divided the improper fraction by 3 to get 11/12

Hope it helps :D

Answer:It's A I think if not try B

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

So for vertex (3, 6) it will be:

f(x) = a(x - 3)² + 6

y intercept: 2 means  f(0) = 2

f(0) = a(0 - 3)² + 6

2 = a(-3)² + 6

2 -6 = 9a + 6 -6

-4 = 9a

a = ⁻⁴/₉

Therefore:

The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is

                             f(x) = - ⁴/₉(x - 3)² + 6

The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The vertex: (3,6) and y-intercept: 2

As we know,

The parabola equation:

f(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola and a is the leading coefficient.

f(x) = a(x - 3)² + 6

f(x) =  2 at x = 0

2 = a(0 - 3)² + 6

a = -4/9

f(x) = -4/9(x - 3)² + 6

Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

Learn more about the parabola here:

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Answer:

A) SSS ( I think ) Not the best at these.

Answer: 80

Step-by-step explanation:

Answer: 80%

Step-by-step explanation:

16 divided by 20 = 0.8

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

[tex]y=28+4x[/tex]

Substitute x=4 in this equation.

[tex]y=28+4(4)[/tex]

[tex]y=28+16[/tex]

[tex]y=44[/tex]

Therefore, total cost of 4 events is $44.

Answer and Step-by-step explanation:

All you have to do is plug 6 in for x.

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A) 6 + 4 = 10      The 6 and 4 add together to make 10.

B) 3(6) = 18        The 3 and 6 multiply together to make 18.

C) [tex]\frac{6}{2}[/tex] = 3              The 6 is divided by the 2 to make 3.

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#teamtrees #WAP (Water And Plant)

Answer:

73.2 cm

Step-by-step explanation:

area = 2 bases + 4 sides

area = 2× 3×3 + 4× 3×4.6

area = 2×9 + 4×13.8

area = 18 + 55.2

area = 73.2 cm

Transformations are used to change the position of a function from one point to another. When f(x) is reflected over the y-axis, the new function g is [tex]g(x) = x + 8[/tex]

Given that:

[tex]f(x) = -3+|x - 11|[/tex]

To reflect across the y-axis, we use the following transformation rule:

[tex](x,y) \to (-x,y)[/tex]

So, the new function is:

[tex]g(x) = f(-x)[/tex]

If [tex]f(x) = -3+|x - 11|[/tex], then:

[tex]f(-x) = -3+|-x - 11|[/tex]

Factor out -1

[tex]f(-x) = -3+|-1(x + 11)|[/tex]

Remove absolute sign

[tex]f(-x) = -3+1 \times (x + 11)[/tex]

[tex]f(-x) = -3+x + 11[/tex]

Collect like terms

[tex]f(-x) = x + 11-3[/tex]

[tex]f(-x) = x + 8[/tex]

Hence, the new function is:

[tex]g(x) = x + 8[/tex]

Read more about transformations at:

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Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

Answers:

1. - 9/10 + 7/10 =-0.2

2. - 1/2 - 2/5 =-0.9

Have a beautiful day! v(⌒o⌒)v♪

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.

4(6 + x) = 48

Next, you would simplify the equation.

24 + 4x = 48

Now, you would combine like terms.

4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.

x = 6

I hope this helps!

Answers x=6

Step-by-step explanation:

Answer: k = 3

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

26=6k+8-6+2k

combine all common integers from the same side, (8-6) and (6k+2k).

8-6=2

6k+2k=8

Which now translates the equation to 26=8k+2.

26=8k+2

continue by moving the (2) to the other side, do so by subtracting 26-2.

26-2=24

24=8k

Lastly, move the 8 to the other side of the equation by dividing 24/8.

24/8=3

Therefore, k=3

Answer:

Decimal Number 4-bit Binary Number Hexadecimal Number

14 1110 E

15 1111 F

16 0001 0000 10 (1+0)

17 0001 0001 11 (1+1

Step-by-step explanation:

hope this helped

Answer:

x = 1

Step-by-step explanation:

the vertical line is passing through only the x-axis and not the y axis. So the graph is a x = ? All you e have to to is to look for the x coordinate of the point the vertical line is passing through which is 1 and so the answer is x = 1.

Please mark brainliest. Thanks!!!!

x=1 represents the vertical line passing through (1,-9) .

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.

In a vertical line x-coordinate remain constant, only y-coordinate changes.

The vertical lines are parallel to the y-axis and are perpendicular to the horizontal lines. On a vertical line, all the points on the line have the same x-coordinate.

Here x=1 is the only vertical line which passes through (1,-9) So option B is correct.

Learn more about vertical line from here :

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Answer:

1

Step-by-step explanation:

it is right ok stop now

Answer:

yes it is

Step-by-step explanation:

to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

3+6=9

2 sides on a triangle must be greater than the other side

Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would  for a minite to reach elana

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

5*2*3 - 2*0 = 30 - 0 = 30

Answer:

63

Step-by-step explanation:

I know I did it