which table of values represent a linear relationship?

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

Answer:

10

Step-by-step explanation:

7 + (-3) = -10

But it's |7| + |-3| which means it is the absolute value

So 10

Hope this helps :)

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Step-by-step explanation: It is gradually going up in numbers going down.

From 1 to 10 is 9

From 10 to 18 is 8

From 18 to 25 is 7

So from 25 to 31 is 6.

Hope this helps you! ;)

Answer:

31

Step-by-step explanation:

You add 9, then 8, and so on

Answer:

3/4

Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

Answer:

a.2

Step-by-step explanation:

Answer:

Answer:

49

Step-by-step explanation:

28-21=7

7 to the power of two is the same as 7(7)

7(7)=49

Answer:

Step-by-step explanation:

7:8 is 7/8

9:5

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq

Answer:

it will be 1.75$

Step-by-step explanation:

56-18

38x2.25

117$ - 85.5$

31.5 / 18

Answer:

answer will be 67

Step-by-step explanation:

f(x) = 61 - x

x = -6

hence we substitute the value of x in f(x)

f(-6) = 61 - (-6)

= 61 + 6

= 67

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

f(x) = 6(1 - x)

The value of the function at x = -6 will be given as,

f(-6) = 6[1 - (-6)]

Simplify the equation, then we have

f(-6) = 6[1 - (-6)]

f(-6) = 6(1 + 6)

f(-6) = 6 × 7

f(-6) = 42

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

y int is 20

slope = 2

equation: y = 2x + 20

Answer:

b:-15

Step-by-step explanation:

There are 9 num in the set sowe add all the num and the we divide the answer we got

Answer:

The answer is:

b) - 15

Hope it helps:D

Answer:

The transformation is (x,y) to (x-2,y-6)

Step-by-step explanation:

First of all, we note the coordinates of the point G

The coordinates of the point G is (2,6)

To bring this to the origin, we are looking at bringing it to the point (0,0)

To do this, we subtract 2 from the x-value and 6 from the y value

So what we have is that;

(x-2) and (y-6)

(x-2, y-6)

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

Answer:

g(x) has a minimum

Step-by-step explanation:

Given a quadratic in standard form

g(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

g(x) = x² - 5x + 2 ← in standard form

with a > 0 , thus

g(x) has a minimum

Answer:72

Step-by-step explanation:

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

Answer:

1 inch equals 8 feet

Step-by-step explanation:

Given that;

Abigail drew a scale drawing of the oldest house in her town.

The actual  length of the house = 64 feet long

Abigail scale drawing =  8 inches long

The scale he used in drawing the house is determined by choosing a perfect scale:

i.e

If 8 inches is used to draw an actual length of a house which is 64 feet long,

Then 1 inch should be able to draw (64 feet * 1 inch)/ 8 inches

So, 1 inch should be able to draw 8 feet long

The scale used to draw the given house is required.

The scale used to draw the diagram is 1 inch equals 8 feet.

Actual length of the house = 64 feet

Scale drawing length = 8 inches

So,

[tex]64\ \text{feet}=8\ \text{inches}[/tex]

Now, the inches to feet is required.

So, we divide both sides with 8.

[tex]\dfrac{64}{8}\ \text{feet}=\dfrac{8}{8}\ \text{inches}\\\Rightarrow 8\ \text{feet}=1\ \text{inch}[/tex]

So, 1 inch in the diagram is 8 feet of actual length.

Learn more about scale diagrams:

https://brainly.com/question/3489790

Answer:

12cm

Step-by-step explanation:

You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that

13² = h² + 5²

so

h = 13² - 5² = √144 = 12

Answer:

2. x=5

y=10

3. x=21

y=4

Step-by-step explanation:

2. 13y=20x+3y    10y=20x

8x+y=180-13y      14y=180-8x

y=2x    plugging that into 14y=180-8x   28x=180-8x     36x=180   x=5

plug x into 10y=20x    10y=100    y=10

3. 3(x+y)=(4x-9)    3x+3y=4x-9   x=3y+9

5x=180-4x+9        9x=189          x=21

plug 21 into x=3y+9     21=3y+9    12=3y    4=y

Answer:

$65

Step-by-step explanation:

$205 - $75 = $130

$130 / 2 hours = $65

The hourly rate, in dollars, is $65 per hour.

Answer:

Here x=10° ,2x=20° ,5x=50°

Answer:

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

Answer:

222mm

Step-by-step explanation:

The perimeter of a triangle is the sum of all of the sides. This triangle is equilateral, which means that all sides are equal and in this case, each side is 74mm. So to find the perimeter of this triangle add each, 74+74+74, which equals 222. Therefore, the answer must be 222mm.

Answer:

the answer is 222 mm.

hope it works

Answer:

1/15 pie

Step-by-step explanation:

An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!

(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.

you get 1/15. Hope it helps

Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15

Answer:

Its B, 1/15 hope this helps

Step-by-step explanation:

Answer:

y=2x+5

because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup

Answer:

y+5=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

The linear function passing through points  (3,-5) and (5,- 1) is given by:

y = 2x+ 13.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

For this problem, the two points that form the function are given as follows:

(3,-5) and (5,- 1)

The slope is given by change in y divided by change in x, hence it is given by:

m = (y₂-y₁)/ (x₂-x₁)

m = (-1+5)/(5-3)

m = 4/2

m = 2

Then:

y = 2x + b.

When x = 3, y = -5, hence we can find the intercept b of the function as follows:

3 = 2 x -5 + b

b = 3+ 10

b = 13

Hence the equation is:

y = 2x+ 13

More can be learned about linear functions :

brainly.com/question/24808124

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Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]