What is the domain and range of the relation?

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ2

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]

So, the speed is 2.25 ft/s.

Answer:

(1.5, 0)

Step-by-step explanation:

Given the system of inequalities y≤-2x+6x−y<6.

separating the inequality

y≤-2x+6x−y

Get the y intercept. This occurs at x = 0

y≤-2(0)+6(0)−y

y = - y

y+y = 0

2y = 0

y = 0

Get the x intercept. This occurs at y = 0

-2x+6x−y<6

-2x+6x−0<6

4x < 6

x < 6/4

x < 3/2

x < 1.5

Hence the ordered pair is (1.5, 0)

Answer:

b. 12.8

Step-by-step explanation:

napag aralan po namin yan boss

Answer:

[tex]x=131.25[/tex]

Step-by-step explanation:

[tex]0.3x+0.65*175=0.5(x+175)[/tex]

[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)

[tex]-0.2x+113.75=87.5[/tex] (Simplify)

[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-0.2x=-26.25[/tex] (Simplify)

[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=131.25[/tex] (Simplify)

Hope this helps!

9514 1404 393

Answer:

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

Answer:

number is 500 hope this helps

Answer:

42%of n=210

42/100 ×n=210

n=21000/42=500

Answer:

53 cookies

Step-by-step explanation:

you divide 1223 and 23, the answer should then be about 53

Answer:2x + 7 = 15

Step-by-step explanation:

2x + 7 = 15

Answer:

0.8022

Step-by-step explanation:

difference=subtraction

so we take 1 - 0.1978 and it equals 0.8022

Answer:

addition

Step-by-step explanation:

Answer:

Addition??

Yeah maybe in what terms?

Answer:

1)  a = (2h-84t) / t²

2) L = (P-2W) / 2

Step-by-step explanation:

Formula #1:

step 1: subtract 42t

1/2at² = h - 42t

step 2: multiply by 2

at² = 2h - 84t

step 3: divide by t²

a = (2h - 84t) / t²

Formula #2:

step 1: subtract 2W

P - 2W = 2L

step 2: divide by 2

L = (P-2W) / 2

Answer:

No

Step-by-step explanation:

Because 0.38 is 0.08 more than 0.3.

Answer:

red +blue marbles :- 15 +13=28 marbles.

yellow marbles:- 50+28=22 marbles.

probability of yellow marble :- 22/50 i.e 11/25

Answer:

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Step-by-step explanation:

Runner A is 0.25 miles behind Runner B.

Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.

This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.

How long will it take Runner A to catch up to Runner B?

1 hour - 1.5 miles

x hours - 0.25 miles

[tex]1.5x = 0.25[/tex]

[tex]x = \frac{0.25}{1.5}[/tex]

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

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Answer:

Around 8 days

Step-by-step explanation:

Divide 325 from 2,563

2563 / 325 = 7.888

Round that number

Answer:

5.5

Step-by-step explanation:

Answer:

twenty eight more weeks till$200

Answer:

The answer for that is 5744.61

Answer:

true

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

8^2+3^2=64+9=73

Answer:

It's a rectangular prism :)

Step-by-step explanation:

Well I automatically know this because,

it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle

It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base

It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width

So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.

Hope this helps! Have a meowgical day :)))

Rectangular prism shape can be created by the given net.

A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.

A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.

A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.

According to the question

We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

We can say that the given net is of rectangular prism.

Option D is correct.

Thus, rectangular prism shape can be created by the given net.

Find out more information about rectangular prism here

https://brainly.com/question/3096481

#SPJ3

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

Answer:

D. 72°

Step-by-step explanation:

Given

Adjacent = 5feet

Hypotenuse = 16feet

Using SOH CAH TOA

cos theta = adj/hyp

cos theta = 5/16

cos theta = 0.3125

theta = arccos 0.3125

theta = 71.7

theta = 72 degrees

Answer:

Step-by-step explanation:

if Pierre moves 1 mile in 18 minutes

1 miles..............................18 minutes

? miles...............................30 minutes

the number of miles=30/18=10/6=1.66 miles

Answer:

The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).

Step-by-step explanation:

The equation that is given in this item can be written for clarity as follows:

                       g(x) = 1/(x - 5)  + 2

It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.

The Graph for both function is attached below.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Given:

g(x) = - 1/x

and, f(x) = 1/x

The Graph shown below.

From the Graph we can see that the graph of g(x)= -1/x and f(x)= 1/x

shows the same graph but the position is changed in opposite of each other.

Learn more about Translation here:

https://brainly.com/question/12463306

#SPJ5

Answer:

11,000

Step-by-step explanation:

There are 5000 boys and 6000 girls.

5000 + 6000 = 11,000

Answer:

11,000

Step-by-step explanation:

Boys is 6000 so 6000+5000=11000

Answer:

7 is D which is 18.4...

8 is C: 42

9: C: 8.9

Step-by-step explanation:

hope it helps...