A function is described by the equation f(x) = 2x + 3. The replacement set for the independent variable is (2,4,6,8). Which set is the corresponding set for the dependent variable?​

Answers

Answer 1
Answer:  {7, 11, 15, 19}

Write the values in the order shown. The curly braces indicate a set.

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

Explanation:

The replacement set for the independent variable is {2,4,6,8}

This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.

---------

Plug in x = 2 to find that,

f(x) = 2x+3

f(2) = 2*2+3 ... replace every x with 2

f(2) = 4+3

f(2) = 7

If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.

If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.

In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}

Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.


Related Questions

Share 68 in the ratio 8:9

Answers

Answer:

68:76.5

Step-by-step explanation:

create the ratio 68/x=8/9, then simplify the side you can so get 68/x=.8888... then multiply both sides by x to get rid of the fraction, 68=.8888...x. now divide both sides by .8888... to get x by itself, 76.5=x

if you have any questions, leave them int eh comments and i will try to answer them, if this helped, pls give brainliest

ANSWER NOW PLEASE AND PLEASE GIVE ME THE RIGHT ANSWER 35 points

Find the difference. Express the answer in scientific notation.
Va
(8.64 x 1020)- (7 83x 1020)
O 8.1x 10
O 0.81 x 1020
O 8.1 x 1021
O 0.81x1040

Answers

Both values have the same exponent ( they are both 10^20) so first subtract the numbers:

8.64 - 7.83 = 0.81

You would now have 0.81 x 10 ^20

But to be in scientific notation you need a number to the left of the decimal.

0.81 would become 8.1 and because you move the decimal 1 place to the left, you would subtract 1 from the original exponent so 10 ^20 would become 10 ^19

The answer is 8.1 x 10 ^ 19

Answer:

B = 0.81 x 10^ 20

Step-by-step explanation:

=(8.64 x 10^ 20)- (7 83x 10^20)

=8.1 x 10^19

which is also written as

= 0.81x 10^20

What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25

Answers

Answer:

x= -4,-14

Step-by-step explanation:

Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.

Help I NEED HELP
PLS THIS NEED TO BE CHECKED TOMORROW I HOPE THERES SOMEONE WILL HELP (MATH)

Answers

Answer:

1) [tex]-2/3(x+5)+4(x+5)-10/3(x+5)[/tex]

[tex]=4(x+5)-10/3(x+5)-2/3(x+5)[/tex]

[tex]=4(x+5)-(x+5)[10/3+2/3][/tex]

[tex]=4(x+5)-(x+5)(10+2/3)[/tex]

[tex]=4(x+5)(12/3)(x+5)[/tex]

[tex]=4(x+5)-4(x+5)[/tex]

[tex]=0[/tex]

[tex]So, Jada~ is ~correct, because ~ by ~adding~negative ~term~we ~get~the~same~value\\of~negative~term~ so, both ~are ~ equaled~ out ~ and ~ get~ 0[/tex]

-------------------------

hope it helps...

have a great day!!

Tyrone earns $8.50 an hour. How much money will he earn if he works for 5.40 hours?

Answers

Answer:

$45.90

Step-by-step explanation:

Multiply without the decimal points, then put the decimal point in the answer: 85 x 54 = 4590

8.5 has 1 decimal place

5.4 has 1 decimal place

Therefore, the answer has 2 decimal places

= 45.90

Refine: 45.9

The answer is 45.9

1
What is the base area of the cone?
O 15 m2
O 25 m2
O 45 m2
5 ml
1
1
O 125 m2
3
V= 75 m

Answers

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ 75 = \frac{1}{3} \times 3.146 \times {r}^{2} \times 5 \\ {r }^{2} = \frac{75 \times 3}{3.146 \times 5} \\ r = \sqrt{14.3039} \\ r = 3.782 \: m \\ base \: area = \pi {r}^{2} \\ = 3.146 \times {(3.782)}^{2} \\ base \: area = 45 \: {m}^{2} [/tex]

Answer: The answer is C. 45 i have proof it is this for anyone who needs this,

Step-by-step explanation: hope this helps everyone!

The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours

Answers

Answer:

53 mins

Step-by-step explanation:

Solve for x and y
6(ax + by) = 3a + 2b ; 6(bx-ay) = 3b - 2a

Answers

6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b

What is the side length of a cube that has a volume of 343 cubic centimeters?

Recall the formula Cube volume = s cubed.
4 centimeters
7 centimeters
8 centimeters
114 centimeters

Answers

Answer:

7 centimeters is the Wright answer i hope 7^3=343

Answer:

its seven got it on edgenui

Step-by-step explanation:

.) From the time a small airplane is 240 feet high and 5,200 ground feet from its landing runway, the plane descends in a straight line to the runway. Determine the planes angle of descent. Draw a diagram that describes the scenario.

Answers

Answer:

87.357

Step-by-step explanation:

use TOA to solve for the missing angle

let x= angle

tan(x)=5200/240

x=87.357

write the equation -1/2x - 2y = -4 in slope intercept form​

Answers

Answer:

y= -1/4x+2

Step-by-step explanation:

y=mx+b is the slope intercept form.

We first must isolate y by adding 1/2x on both sides.

-2y=-4+1/2x

next we multiple by -1/2 to get rid of the -2

y=2-1/4x

y=-1/4x+2

Find the length of the third side. If necessary, write in simplest radical form.
10
5

Answers

Answer:

x= [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

This relationship is represented by the formula:

[tex]a^{2} + b^{2} = c^{2}[/tex] =>[tex]10^2 +5 ^2 = x^2[/tex]

=> 100 + 25 = [tex]x^2[/tex]

=> [tex]\sqrt{125}[/tex] = x => [tex]\sqrt{25} \sqrt{5}[/tex] = x

=> x= 5[tex]\sqrt{5}[/tex]

*not drawn to scale
From her house, Jill rode her bike 5 km east, then 6 km south, and then 3 km east.
Measured using a single straight line, how far is Jill from her house?
A. 5 km
B. 8 km
C. 10 km
D. 14 km

Answers

Answer:

14

Step-by-step explanation:

Trigonometric ratios, Side length. 15 points AND brainliest.

Answers

Answer:

Side GI= 2

Step-by-step explanation:

Photo attached, used SOH CAH TOA method.

does any one nows how to solve this

Answers

Yes this is so easy just ask your find and that’s the answer

classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
9,15,19 NOT A RIGHT TRIANGLE THANKS FOR THE HELP! NO SPAMS OR LINKS PLEASE​

Answers

Answer:

It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2

let x, y, and z be the angles inside the triangle.

Law of cosines says:

19^2 = 13^2 + 15^2 - 2(13)(15)cos x

361 = 169 + 225 - 390 cos x

-33 = -390 cos x

-33/-390 = cos x

11/130 = cos x

x = inverse cosine (11/130)

= 85.14609471338569.....

Per law of sines:

sin x/19 = sin y / 13

(13/19)sinx = sin y

inverse_sine ( (13/19) sin x) = y

y = 42.9810733896016548....

Per law of sines

sin x/19 = sin z / 15

z = inverse_sine( (15/19) sin x)

= 51.8728352950227805....

So it is an acute triangle and yes, these angles add up to 180

Answer:

acute

Step-by-step explanation:

The additive identity of rational numbers is: *

I. 0
II. 1
III. 2
IV. -1

Answers

Answer:

i) 0 is the additive identity of rational number

How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?

Answers

Answer:

96

Step-by-step explanation:

To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.

Step 1:

1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.

Step 2:

2nd digit = 4 choices.

Step 3:

3rd digit = 3 choices

Step 4:

4th digit = 2 choices

Step 5:

5th digit = 1 choice .

So the number of different 5 digit number is 4*4*3*2*1 = 96

What shape is at the top of the quadrilateral hierarchy? parallelograms quadrilaterals squares rectangles

Answers

Answer:

quadrilaterals

Step-by-step explanation:

The shape is at the top of the quadrilateral hierarchy are quadrilaterals.

What is a quadrilateral?

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are parallelograms, square, rectangle, kite.

All squares and rectangles are parallelogram while all shape with four sides are quadrilaterals.

The shape is at the top of the quadrilateral hierarchy are quadrilaterals.

Find out more on quadrilateral at: https://brainly.com/question/23935806


Find the measure of the are or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
(I need help solving because I don’t understand please go step by step for this equation#1)

Answers

9514 1404 393

Answer:

  ?° = 153°

Step-by-step explanation:

The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.

  ?° = 153°

The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.​

Answers

Given :-

The  difference between two positive numbers is 7 and the difference between these  cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,

To Find :-

A - B

Solution :-

So,

Let the number be n and m

A = n × m = nm

B = n² + m² = (n + m)²

Now

n³ - m³ = 805

(n - m) (n² + m² + nm) = 805

Since difference is 7

7 × n² + m² + nm = 805

n² + m² + nm = 805/7

n² + m² + nm = 115

(n² + n) + (m² + m) = 115

A + B = 115

Now

On squaring the first eq.

(n - m)² = (7)²

(n - m)² = 49

B - 2A = 49

Now

A + B - B + 2A = 115 - 49

A + 2A = 66

3A = 66

A = 66/3

A = 22

By using 2

B - 2(22) = 49

B - 44 = 49

B = 49 + 44

B = 93

A - B = 22 - 93 = -71

[tex]\bold{ A-B=-71  }[/tex] 

[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]

Answers

Hopes this helps:

Answer: 3x/4 - 35/8

If it’s wrong than I am so sorry that I couldn’t help you.

Please help
11.5 gal
= qt

Answers

Answer:

46

Step-by-step explanation:

1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2

44+2=46

The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.

How many such kinds of triangles is it possible? Find the probability of randomly chosen triangle is isosceles but not equilateral.

Answers

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

A triangle has
number of altitudes/heights.​

Answers

Answer:

the answer is altitudes.

Step-by-step explanation:

i am not much sure of that.

Answer:

Triangle :

Step-by-step explanation:

        The altitude of triangles,

Three altitudes :

Every triangle has three bases (any of its sides) and three altitudes (heights). Every altitude is the perpendicular segment from a vertex to its opposite side (or the extension of the opposite side).

         The heights. of triangle,

The three heights of a triangle :

Triangles each have three heights, each related to a separate base. Regardless of having up to three different heights, one triangle will always have only one measure of area. In some triangles, like right triangles, isosceles and equilateral triangles,

After completing the square, what are the solutions to the quadratic equation
below?
x2 - 7x+9 = 4
O A. X=-7 29
B. X=-
7
O C. x-}+x20
O D. x = 729

Answers

Answer:

         [tex]\bold{x_1=\dfrac{7+\sqrt{29}}2\ ,\qquad x_2=\dfrac{7-\sqrt{29}}2}[/tex]

Step-by-step explanation:

[tex]x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{\sqrt{29}}2[/tex]

Ashley and Kris are saving money for a vacation. Ashley currently has
$2,500 and is working hard to save $50 per month. Kris only has $1,000 in
savings but is saving $200 per month. In how many months will they have
the same amount in savings?

Answers

Answer:

Step-by-step explanation:

1) y = 50x + 2500

2) y = 200x + 1000

if we build a system with the two equations, we have:

50x+2500 = 200x + 1000

150x = 1500

x = 10

y = 2000 + 1000 = 3000

3) 10

4) $3000

factor m^4 + 9m^2 + 20 completely

Answers

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

hi please help me look below

Answers

Answer:

9.64797292×10^28

Step-by-step explanation:

Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Answers

y=x2+100 !!!!!!!!!!!!!!!!
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