Fill in the table of values for the function (fx)=3(2)^x

Answer:

i am just standing here

Step-by-step explanation:

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

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

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

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

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

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

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Answer:

17

Step-by-step explanation:

Answer:

BD = CE

Step-by-step explanation:

Answer:

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

3 raised to the power of 4 is = 81

Answer:

The answer is 314.159 which can be rounded to 314.

If you want more like this^^^^^^^

Answer:

A

Answer:

y=1/4x-5

Step-by-step explanation:

Answer:

y = 1/4x - 5

Step-by-step explanation:

y = mx + b is the equation of a straight line.

m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)

(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)

the slope is 1/4

replace each variable in the equation, and you get:

y = 1/4x - 5

Answer:

chipset buy showroom de en inglés

Answer:

A

Step-by-step explanation:

A

Answer:

b 1 ksoeoeskmx

Step-by-step explanation:

ksowoxk374

Answer:

its x=24 hrhdjdjdndjrirjrjdjdhd

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

Answer:

0=−21/20

0Step-by-step explanation:

Answer:

m=9 cm; n=4 cm

Step-by-step explanation:

The area of the rectangle is m*n, and the area of the square is 6*6.  We are told that the areas of the rectangle and square equal each other, so:

[tex]m*n=36[/tex]

We are told that m is 5 cm longer than n, so we know that:

[tex]m = 5+n[/tex]

Therefore, we can solve for n using substitution.

[tex]m*n=36\\(5+n)n = 36\\5n+n^2 = 36\\n^2 + 5n -36 = 0\\(n+9)(n-4)=0[/tex]

We now have two answers for n: -9 and 4.  However, the side length cannot be negative; that simply wouldn't make any sense.  Therefore, n = 4.

Next, using the same equation, plug in 4 for n and solve for m.

[tex]m*n=36\\m*4=36\\m=9[/tex]

Answer: 5/1 = 5

Step-by-step explanation:

The gradient is the slope of something. The slope = rise/run so you just do 8-3 = 5 is the rise and then 1-0 = the run so its a gradient of 5

Answer:

Orange area

area=x^2+x-12

Step-by-step explanation:

width=x+3

length=x-4

area=width x length

area=(x+3)(x-4)

area=x^2-4x+3x-12 = x^2+x-12

Answer:

t = 3

Step-by-step explanation:

105 = -5t^2 -10t + 180

-75 = -5t^2 -10t

15 = t^2 +2t

t^2 +2t -15 = 0

(t+5)(t-3)

t = -5, 3

There's no such thing as negative time so you use the positive answer

Answer:

Its positive

Step-by-step explanation:

3x - 5 = -3

3x = 2

x = 2/3

2/3 is positive

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

Answer:

the building is thirty feet tall

Step-by-step explanation:

so make a ratio of shadow to joey

5:45

simplify that to

1:9

so you can now divide 270 by nine

30

the building is thirty feet tall

Answer:

your awnser would be. 1/4

Answer:

y=3x-2

Step-by-step explanation:

3/1 simp so 3

then pick a point (1,1) I marked were what goes hope that helps you  understand        

(1)=(3)(1)+b

1=3+b

-3 each side                  

1-3=-2

-2=b

y=3x-2

Answer:

DVDs= $16.2

CDs = $11.9

Cassettes = $11.4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

f(12) = 2/3x+3

So, replace x with 12.

2/3(12) + 3

2/3 x 12 = 8

8 + 3 = 11

Answer:

-5x+18/x+2

Step-by-step explanation:

I'm pretty sure it's the answer

Answer:

the answer is c

Step-by-step explanation:

Answer:

13.6 gallons

Step-by-step explanation:

Miles Driven = Gallons Burnt * Miles Per Gallon

So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles.  This is 284/20.88 = 13.6 gallons

Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured.  You will see this is very important in science

What can we learn from this.  As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21.  So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.