It takes Matt 6 minutes to swim 12 laps in the pool. How many laps could he swim in 9 minutes?

Answer:

Y-intercept (0,1) / Domain (-infinite,infinite) / horizontal asymptote y=0

The y-intercept is: (0,1)

The domain is [tex]\{x|-\infty < x < \infty\}[/tex]

The horizontal asymptote is [tex]y = 0[/tex]

The given parameters from the complete question are:

[tex]f(x) = 2^{x-2}[/tex]

[tex]g(x) = f(x + 2)[/tex]

First, we calculate the function of g(x)

[tex]g(x) = f(x + 2)[/tex]

Calculate f(x + 2)

[tex]f(x) = 2^{x-2}[/tex]

[tex]f(x + 2) = 2^{x+2-2}[/tex]

[tex]f(x + 2) = 2^x[/tex]

So:

[tex]g(x) = 2^x[/tex]

Start by calculating the y intercept:

This means, we calculate the g(x) when [tex]x=0[/tex]

[tex]g(x) = 2^x[/tex]

[tex]g(0) = 2^0[/tex]

[tex]g(0) =1[/tex]

The above computation means (a) is incorrect; but (e) is correct.

Next, calculate the domain of g(x)

[tex]g(x) = 2^x[/tex]

Some features in a function that limit the x values are: roots, fractions, etc.

[tex]g(x) = 2^x[/tex] does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: [tex](-\infty,\infty)[/tex]

The above computation means (b) is correct

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at [tex]y = 0[/tex]

So, the horizontal asymptote is: [tex]y = 0[/tex]

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Answer:

[tex]y=\dfrac{5}{4}x+1[/tex]

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

[tex]y=mx+c[/tex]

Given that, a point is (-4,-4)

i.e.

[tex]x=-4,\\y=-4[/tex]

Slope, [tex]m =\frac{5}{4}[/tex]

Putting the given values in the Slope intercept form equation:

[tex]-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1[/tex]

Putting the value of [tex]c[/tex] and [tex]m[/tex] in the slope intercept form:

[tex]y=\dfrac{5}{4}x+1[/tex]

Answer:

2.50 + 2.65x = y

Step-by-step explanation:

The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y

Answer:

Step-by-step explanation: if the 2.50 is staying the same, then the answer is y=2.50x + 2.65

Answer:

-1/2

Step-by-step explanation:

cos (4π/3)= cos (π+π/3)

Answer:

Step-by-step explanation:

[tex]cos (\frac{4 \pi }{3} )=cos (\pi +\frac{\pi }{3} )=-cos (\frac{\pi }{3} )=-\frac{1}{2}[/tex]

Answer: The second to last option I think

Step-by-step explanation:

Answer:i think its the The second

Step-by-step explanation:   so  look 2x6=12 and 4x2=8 so the snswers are on the right and the question is on the left holpfuly that helps

Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

Answer:

10.

Step-by-step explanation:

2 + 2 x (2x2)

= 2 + 2 x 4

= 2 + 8

= 10

Hope that helped, :)

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

Answer:

-1

Step-by-step explanation:

The common difference is the constant amount of change between the numbers in an arithmetic sequence.

To find the common difference, you take the last term and subtract it by the previous term.

[tex]\frac{-3}{2} - \frac{-1}{2} =-1[/tex]

The translation of the question given is

A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?

Answer:

y = 5

Step-by-step explanation:

Line 1 that passes through A (2,1) and B (6,3)  

Slope (m1) = 3-1/6-2 = 2/4 = 1/2

y - 1 = [tex]\frac{1}{2}[/tex] ( x -2)

2y - 2 = x- 2

y = [tex]\frac{x}{2}[/tex]

Line 2 passes through A (2,1) and (0,y)

slope (m2) =[tex]\frac{y-1}{-2}[/tex]

Line 1 and Line 2  are perpendicular

m1*m2 = -1

[tex]\frac{1}{2}[/tex]  * [tex]\frac{y-1}{-2}[/tex] = -1

y-1 = 4

y = 5

slope = -2

Equation of Line 2

Y-1 = -2(x-2)

y -1 = -2x +4

2x +y = 5

Answer:

4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1

THE CORRECT ANSWER ON KHAN IS -9/4

For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:

(3 + 2y)² = (-y)

Expanding the left side, we get:

9 + 12y + 4y² = -y

Bringing all the terms to one side, we get a quadratic equation:

4y² + 13y + 9 = 0

We can solve this quadratic equation using the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Substituting the coefficients a = 4, b = 13, and c = 9, we get:

y = (-13 ± √(13² - 4(4)(9))) / 2(4)

y = (-13 ± √97) / 8

So the solutions are:

y = (-13 + √97) / 8 or y = (-13 - √97) / 8

Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

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Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

Answer:

plant c is the answer to your question

Answer:

11x+12

Step-by-step explanation:

combine like terms

Answer:

36

Step-by-step explanation:

12/3 = 4 pages per minute

4*9 = 36

Answer:

36

Step-by-step explanation:

12*3=36

Answer:

1) The download speed for AT&T is 1,800

2) The download speed for Bidmore is 1,500

3) The download speed for Comcast is 1,680

4) AT&T has the best download speed out of the three.

5) They will go through the origin and be a proportional line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

h = 4x +12y +2

h-12y-2=4x

Answer:

7 o más

Step-by-step explanation:

lógicamente, si el juego necesitaba 7 taps para jugar y Nico tiene más de 7 taps, entonces Miguel también debería tener 7 o más taps en su bolsa.

Answer: 4/5 - 2

Step-by-step explanation:

Simply put it into a graphing calculator

Answer:

Length = 7 feet, and width is 3 feet.

Step-by-step explanation:

For the given rectangular door,

area = length x width

21 = length x width ................. 1

Also,

perimeter = 2 ( length + width)

20 = 2 ( length + width)

10 = length + width ............ 1

Given that the factors of 21 are required to get the are of the door.

Then, from equation 1;

21 = 7 x 3

And from equation 2;

10 = 7 + 3

So that, the length of the door is 7 feet and its width is 3 feet.

See attachment for answer.

The answer is -93/5.

Answer:

y = -2x + 5

Step-by-step explanation:

Parallel lines have the same slope, so the line's slope would be -2.

Because we have a coordinate point and the slope of the line, we can figure out the equation by using the point slope formula:

( y - y1 ) = m( x - x1 )

( y - ( - 3 ) ) = -2 ( x - 4 )

y + 3 = -2x + 8

y = -2x + 5

The equation of the line is y = -2x + 5

Answer:

75 cm

Step-by-step explanation:

the ratio of centimeter to miles is 2:10 or 1:5 (1 cm = 5 mi)

this ratio can be changed to a fraction (1/5)

so now we can set up this equation:

(1/5) = (x/375)

where x = cm on the map

if it makes it easier to understand:

(1cm/5mi) = (xcm/375mi)

now we solve for x:

375(1/5) = x

x = 375/5

x = 75 cm

Answer:

B. A. C. are the angle

Step-by-step explanation:

B is an acute angle a is a slightly bigger acute angle and c is a right angle. this was by me just looking at it so...

Answer:

angle AC= 12, angle CB= 16, angle BA= 22

Step-by-step explanation:

the numbers are between the angles