parallel perpendicular or neither

Step-by-step explanation:

it is a linear function, if the change in y is constant in relation to the changes of x.

in other words, if the slope y change/x change is the same for every point.

when we look at the table, we see x changes constantly by +2.

and y changes constantly by -6.

so, the change rate/slope is constantly -6/2 = -3.

and therefore it is a linear function.

the equation looks like (the slope is always the factor of x)

y = -3x + b

b we get by using one of the x,y pairs like 1,4

4 = -3×1 + b = -3 + b

b = 7

so, the full equation is

y = -3x + 7

Step-by-step explanation:

Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:

We must determine whether the given relation or data can be modeled by a linear equation.  It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.

Subtracting the x-coordinates provides a constant difference of 2:

If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.

We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.

If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.

Since the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3.  Hence, the constant rate of change = -3.

As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.

Therefore, the data can be modeled by a linear equation because the rate of change is constant.

In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

4 = (-3)1 + b

4 = -3 + b

Add 3 to both sides to isolate b:

4 + 3 = -3 + 3 + b

7 = b

Therefore, the linear equation that represents the given data is: y = -3x + 7.

Answer:

x - intercept = - 9

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + [tex]\frac{1}{2}[/tex] (0) = 18

- 2x + 0 = 18

- 2x = 18 ( divide both sides by - 2 )

x = - 9 or (- 9, 0 ) in coordinate form

(3, -1)  Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.

Answer:

Step-by-step explanation:

0.13 repeating

Answer:

length = 10 cm

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Al ( A is the cross sectional area and l is the length )

Here V = 125 and A = 12.5 , then

125 = 12.5 × l ( divide both sides by 12.5 )

10 = l

The length of the prism is 10 cm

Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

Answer: x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

The vertex is (2, 3)

We know the vertex form:

Substitute coordinates to get:

Compare with given to find out:

Answer:

reserved tickets = 6 and general admissions tickets = 15

Step-by-step explanation:

[tex]25r + 10g = 150[/tex]

Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.

Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g

[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]

divide both sides by 10

[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]

Now set g equal to zero since he isn't buying any general tickets. Solve for r.

[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]

divide both sides by 25

[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]

Answer:

"A plane does not extend infinitely"

Step-by-step explanation:

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31

Answer:

9261

Step-by-step explanation:

Substitute -3 for a and -12 for b in (a - 2b)^3:

(-3 - 2·-12)^3, or

(-3 + 24)^3, or

21^3 = 9261 (answer)

Answer: divide 2

Step-by-step explanation:

Answer:

27 is the answer

Step-by-step explanation:

36/.75=27

Answer:

32.4/-4.6 nearest circumfrence :)

Step-by-step explanation:

hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !

Answer:

2x^2+5x-3

Step-by-step explanation:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

119

Step-by-step explanation:

first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119

The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20

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

Explanation:

Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.

Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).

A table like the one shown below might be handy to keep track of all the terms.

Answer:

Step-by-step explanation:

Simplify the given equation by dividing all terms by 2:

Roots are:

Correct choice is D

Answer:

6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

amys share would be 45:30 so amys is 45 and marys 30

If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67

The given function is:

[tex]g(x)=x^4-3x^3-x[/tex]

The derivative of the function g(x) is calculated below

[tex]g'(x)=4x^3-9x^2[/tex]

The question indicates that g'(x) = 12

This means that we are going to equate the derivative of g(x) gotten above to 12

[tex]4x^3-9x^2=12[/tex]

Solving the cubic equation above

The only real valid value of x is 2.67

Therefore, the value of x such that g′(x)=12 is x = 2.67

Learn more here: https://brainly.com/question/25754111

Answer: Obtuse

Would appreciate brainly <3

Answer:

#a

This is a cube. Let us find the surface area of the cube now

Surface are of a cube = 6 a²

                                     = 6 × 1.2 × 1.2

                                     = 6 × 1.44

                                     = 8.64 cm²

# b

This is a right trianglular prism.

First you have to find the area of the 2 triangles

Before that,

we have to find the height of the triangle using pythagoras theorem.

Let us solve,

[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]

Now let us find the area of 2 triangles.

[tex]Area =2*\frac{1}{2} *4*3\\[/tex]

[tex]Area =12mm^{2}[/tex]

Now lets find the total area of 3 rectangles.

( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )

28 mm² + 35 mm² +21 mm²

= 84 mm²

And now lets find the total surface area of this solid.

12 mm² + 84 mm²

= 96 mm²

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

d

Step-by-step explanation:

Answer:

That he made a medicine that reduces coughing

Step-by-step explanation:

Answer: A = 27 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                     A = (3)(9)                                                                                                                   A = 27 units^2

Answer:

b

Step-by-step explanation: