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In which table does y vary directly with x?

Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Answer:

[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]

=====================================================

Work Shown:

The first four terms are: -4, 14, -22, 50

The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

Answer:

A (0, - 2 ) or A (0, 6 )

Step-by-step explanation:

Using the distance formula

d = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2 }[/tex]

with (x₁, y₁ ) = B(3, 2) and (x₂, y₂ ) = A(0, y )

AB = [tex]\sqrt{(0-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{(-3)^2+(y-2)^2}[/tex]

     = [tex]\sqrt{9+(y-2)^2}[/tex]

Given AB = 5 then equating gives

[tex]\sqrt{9+(y-2)^2}[/tex] = 5 ( square both sides )

9 + (y - 2)² = 25 ( subtract 9 from both sides )

(y - 2)² = 16 ( take square root of both sides )

y - 2 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 2 to both sides )

y = 2 ± 4

Then y = 2 - 4 = - 2 or y = 2 + 4 = 6

Possible coordinates of point A are

A (0, - 2 ) or A (0, 6 )

Answer:

160

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)

Answer:

When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.

Step-by-step explanation:

Answer:

The answer is 500 meters

Step-by-step explanation:

I got it right

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Answer:

25%

Step-by-step explanation:

25%

there are 4 suits, and only 1 is of clubs

1/4 = 25%

Answer:

the answer is 15 bc 30-15=15

Step-by-step explanation:

Answer:11?

Step-by-step explanation:30 buldogs

                                             pirates 10 plus star 9 19 in 30 wwhats left

Answer:

c

Step-by-step explanation:

my mom had a abortion when i was 6

A) If Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B) If Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Given that Sofi stores water for her turtle tank in a container with a maximum capacity of 64 ounces and the container is filled with 4.8 ounces less than its maximum capacity, to determine A) if Sofi accidentally spills 5% of the container's maximum capacity on the counter, to what percent of its capacity is the container now filled, and B) if Sofi needs to add 16 ounces of water to her turtle tank, what percentage of the remaining water in the container does she need to use, the following calculations must be made:

A)

Therefore, if Sofi accidentally spills 5% of the container's maximum capacity on the counter, the container is now filled to 87.5% of its capacity.

B)

Therefore, if Sofi needs to add 16 ounces of water to her turtle tank, she needs to use 28.57% of the remaining water in the container.

Learn more in https://brainly.com/question/17592236

Answer:

A=87.5%   b=28.57

Step-by-step explanation:

ADVICE PLEASE LOOK AT THIS VERY HELPFUL

PART                           percent

--------- over =          ----------------- over   Cross multiply and then divide by 100  

WHOLE                       100%

Answer:

To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

The average rate of change of the function on [0,4] is 8.

Answer: 122°

Step-by-step explanation:

Because angles on a straight line are supplementary (add up to 180°), then:

m∠2 = 180° - 58°

        = 122°

Answer:

y = ([tex]-\frac{1}{2}[/tex])x + 4

Step-by-step explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m = [tex]\frac{rise}{run}[/tex] =  [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = ([tex]-\frac{1}{2}[/tex])8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = ([tex]-\frac{1}{2}[/tex])x + 4

Answer:

The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.

Step-by-step explanation:

y-intercept is 4

addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)

Find the slope using two of the points: (2, -2), (4, 0).

Slope = (change in the y values)/(change in the x values0

Slope = [0 -(-2)]/ (4 - 2) =   2/ 2 = 1

Checking to see if the y-intercept is 4 substituting  slope (m) = 1 and (2, - 2)

      y = mx + b

     -2 = 1(2) + b

     -2 = 2 + b

  -2 - 2 = b

    -4 = b   so we know that the y-intercept is not 4 but it is -4.

Now write the equation of the line using a slope = 1 and y-intercept of -4

y = mx + b

y = x - 4

Next check the other points into the equation of the line to see if the equation is correct.

x = 2   did y = -2 ?    y = x - 4;   y = 2 - 4 ; y = -2     point (2, -2) works.

x  = 4   did y = 0?     y = x - 4;  y = 4 - 4;  y = 0       point (4,0)  works.

x = 6    did y = 2?     y = x - 4;  y = 6 - 4; y = 2         point (6, 2) works.

x = 8     did y = 4?     y = x - 4; y = 8 - 4;  y = 4        point (8, 4) works.

[tex]\red{\bold{Answer:}}[/tex]

z1 Multiplied by z1 = z(1 + 1) = z2

[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]

= (3•2³x3y2z²)

Answer:

5/36

Step-by-step explanation:

First you need to find the "reciprocal" (the opposite, so the numbers switched around) of the second number, which is 3. In turn, the 3 would become 1/3. Then just multiply the two fractions which is 5/12 x 1/3 = 5/36.

Answer:

5/12 ÷3

Reciprocate

5/12× 1/3

=5/36

#1

So the function is

#2

[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]

[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]

[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]

X=7 because 7-3 = 4, 7+8= 15,15x4=60.

there are only 3  tangent lines can be drawn that touch both circles

ok done. Thank to me :>

Answer:

39

Step-by-step explanation:

289-16= 273

273/7= 39

Hope this helps! :)

Answer:

$39

Step-by-step explanation:

let b = cost of each book

289 - 7b = 16

-7b = -273

b = 39

Answer:

3 + 4i

Step-by-step explanation:

the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

Answer:

39.125 %

Step-by-step explanation:

you use the cross multiplication method:

200cm = 100%

78.25 = ???

78.25 × 100

——————— = 39.125%

200

if you are willing to check your answer:

39.125 × 200

———————–— = 78.25 cm

100

I HOPE THIS WOULD HELP!