The output of a relation is the difference of three times the input and five. Select the correct answer from each drop-down menu. The equation that represents this relation is . The relation a function. If the domain of the relation is x > 2, the range of the relation is y > .

Answers

Answer 1

Answer:

The equation that represents this relation is [tex]y = 3x - 5[/tex].

The relation is a function.

If the domain of the relation is x > 2, the range of the relation is [tex]y >1[/tex]

Step-by-step explanation:

Given

Output = 3 * Input - 5

Required

Complete the gap

Solving (a):The equation for the relation.

Let

[tex]x \to[/tex] input

[tex]y \to[/tex] output

The relation is:

[tex]y = 3 * x - 5[/tex]

[tex]y = 3x - 5[/tex]

Solving (b): Is the relation, a function?

Yes; Because every value of x has a distinct value in 7

Solving (c): The range:

Domain: [tex]x > 2[/tex]

Substitute 2 for x in [tex]y = 3x - 5[/tex]

[tex]y =3 * 2 - 5[/tex]

[tex]y =6 - 5[/tex]

[tex]y =1[/tex]

The range is:

[tex]y >1[/tex]

Answer 2

Answer:

The equation that represents this relation is [ y= 3x - 5 ]

The relation [ is ] a function.

If the domain of the relation is x > 2, the range of the relation is y > [ 1 ].

Step-by-step explanation:

The output, y, of a relation, is the difference of three times the input, or 3x, and 5. So, y = 3x − 5.

Substituting any x-value from the domain into the equation will result in exactly one value of y, so the relation is a function.

To find the range of the relation, given the domain, substitute the boundary point of the domain into the function equation:

When x = 2, y = 3(2) − 5 = 6 − 5 = 1.

Because substituting values of x that are greater than 2 will result in values of y that are greater than 1, the range of the relation is y > 1.

Hope this helps !!


Related Questions

Can someone help me by please


Answers

Answer: Choice A) 2 oranges, 5 apples, 13 pears

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

Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

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

65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

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

To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

Which equation represents this number sentence?

Six less than the quotient of a number and 4 is 15

Answers

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4  = [tex]\frac{x}{4}[/tex]

Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]

Equation:

[tex]\frac{x}{4} \ - \ 6 = 15[/tex]

Find the length of the indicated side.

Answers

Hello

DEF and IKL , equilateral  =>

DE = 5x-12 = 3x-4

5x-3x= -4+12

2x= 8

x=4

DE = 5x-12 =  20-12 = 8

KL = 3x+24 = 10x+3

24 -3 = 10x-3x

21 = 7x

x= 21/7 = 3

KJ = 10x+3 = 30+3 = 33

HELPPPPPPPP IM SO LOSTTTTTTTT

Answers

Answer:  -3, -1, 2

So we have -3 go in the first box, -1 in the second, 2 in the third.

The order doesn't matter (so you can rearrange these values however you want).

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

Explanation:

Recall that a function cannot have any x input lead to multiple y outputs.

For example, if we had x = 0 lead to y = 3 and y = -1 at the same time, then we don't have a function.

In other words, we cannot have repeated x values. So all we have to do is cross off -2, 0, 1, and 3 from the list since they're already in the x row of the table. See the diagram below. This is to ensure that we don't repeat any x values.

The remaining three values -3, -1 and 2 can be placed in any order you want into the three empty boxes.

So we could have -3 go in the first box, -1 go in the second box, and 2 go in the last box. Or you could have -1 in the first box, -3 in the second, and 2 in the third. The order doesn't matter.

Which equation is equivalent to 5^3 sqrt x+8 = 35?

Answers

Answer:

x+8 =343

Step-by-step explanation:

5 ( x+8) ^ 1/3 = 35

Divide each side by 5

5/5 ( x+8) ^ 1/3 = 35/5

( x+8) ^ 1/3 = 7

Cube each side

( x+8) ^ 1/3  ^3= 7^3

x+8 =343

Help me out hhhhhhhjjnjnfd

Answers

since its the same you will have to multiple it all to get the answer

Because the corresponding angles are the same in degree each side of the triangles are simply scaled. If you take 15/9 then you can use that number and multiply the other two sides of the small triangle.

1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5 ​

Answers

Answer: A and C

Step-by-step explanation:

UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR

Answers

Answer:

1/6 is less than 1/2

Step-by-step explanation:

1/6 is close to 0

8/9 is close to 1

1/6 is less than 1/2

A shopkeeper buys TVs for Nu 15000 and marks them up 15% to sell them. What is the mark up amount? *​

Answers

[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]

Markup amount is 2250Nu

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object's distance from the center of the circular path: . Solve the formula for r.

Answers

Answer:

v = √ar

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION;

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

the given formula is (a= v^2/ r) .....eqn(1)

Where

a=centripetal acceleration

r = object's distance

We were told to find velocity (v)

From eqn(1) we can cross multiply, then we have

a.r=v^2 ...................eqn(2)

Then we can make (v^2) the subject of the formula, we have

(v^2) = ar

We can make "v" subject of the formula, then we have

v = √ a*r

Answer:

r = v^2/a

Step-by-step explanation:

Circle A: center (-4, 0) and radius 6
Circle B: center (11, 0) and radius 4
Which of the following transformation is performed from circle A to circle B?

Answers

Answer:

Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.

What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9

Answers

Answer:

A. log9 3=x

Step-by-step explanation:

The logarithmic form with base 9 is log₉ 3 = x.

The correct option is A.

The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.

The logarithmic form with base 9 is log₉ 3 = x.

Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.

The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).

In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.

Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.

To learn more about the logarithms;

brainly.com/question/28346542

#SPJ6

I needddd help it’s urgenttttt!!!!

Answers

Answer:

135

Step-by-step explanation:

First find the measure of CBF

CBF is a straight line so therefore it measures 180*

BFE = 75*

CBD = 45*

75 + 45 = 120*

180 - 120 = 60

60 + 75 = 135*

Therefore DBF measures 135*

Find the measure of the indicated angle.

Answers

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0

Answers

Answer:

Let 2x + y - 10 = 0 be equation (a).

Let x - y - 5 = 0 be equation (b).

Make y the subject in equation (b):

[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]

Substitute for y in equation (a):

[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]

Find y in any equation of your choice:

[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]

hope this helps! I used substitution method! feel free to clarify!

Solve The Inequality

Answers

Answer:

Step-by-step explanation:

Answer is c

C is the answer Cs when u when the number I will see

what is six times a number is greater than 12

Answers

Answer:

6n>12

Step-by-step explanation:

n represents the number.

So 6 times the number would be 6*n or 6n.

Greater than 12 is >12

I hope this helps!

Can someone help me with this. Thx

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

[tex]\boxed{\boxed{\sf{ x=5~and~y=-5 }} }[/tex]

The answer will be X=5 Y=-5

Please show work

Determine the value of each variable

Answers

9514 1404 393

Answer:

  k = 56°

Step-by-step explanation:

If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...

  2b +a = 180°

from which we get ...

  a = 180° -2b

  b = (180° -a)/2

__

The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.

The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.

  k = 56°

_____

We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.

The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.

PLEASE HELP!! would this be symmetric or reflexive property?

Answers

Answer:    It's "reflexive" because the equation is equal on both sides

Step-by-step explanation:         The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)

Hope this helped!!

99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219

Answers

Answer:

C

Step-by-step explanation:

99+60=159.

159+60=219

219+60=279

square of (1\4A+1\4B)^2

Answers

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?​

Answers

Answer:

Below in bold.

Step-by-step explanation:

a. This is the Lowest common multiple of 30 and 40 which is

120 seconds.

b. In 120 seconds Abram had completed 120/40

= 3 laps.

c.  Joshua completed 120/30 = 4 laps.

Answer:

Step-by-step explanation:

A, Lowest common mutiple of 30 and un is 120 seconds

(40x3 = 120, 30x4 = 120)

6.120/40 = 3 laPs Abram did 3 laps.

L. 120/30 = u laPs Jeshya did u laps

Choose the graph that correctly corresponds to the equation y = −4

Answers

Answer:

e

Step-by-step explanation:

the graph should look something like this

HELPPPPP MEEEEEEEEEEEEEEEE

Answers

Answer:

V = 20,000 - 2,000t

multiply x2- 5x + 2 times 3x2 +2x + 3

Answers

Answer:

Step-by-step explanation:

(x² - 5x + 2)*(3x² + 2x + 3) =x²*(3x² + 2x + 3) - 5x *(3x² + 2x + 3) + 2*(3x² + 2x + 3)

=x²*3x² + x²*2x + 3*x² - 5x *3x² - 5x * 2x - 5x*3  +2*3x² + 2*2x + 2*3

= 3x⁴ + 2x³ + 3x² - 15x³ - 10x² - 15x + 6x² + 4x+6

= 3x⁴ + 2x³ - 15x³  +3x² - 10x² + 6x²  -15x + 4x + 6

= 3x⁴ - 13x³ - 7x² - 11x + 6

When multiplying terms, multiply the coefficients and if same variables are there, then add the powers.

6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ
where ℎ() = ( − 4) + 2?

Answers

Answer:

(7,-8)

Step-by-step explanation:

Given

(x,y) = (3,-10)

Required

The equivalent point on h(x) = k(x - 4) + 2

(x,y) = (3,-10) means

k(3) = -10

Substitute 7 for x in h(x)

h(7) = k(7-4) + 2

h(7) = k(3) + 2

Substitute -10 for k(3)

h(7) = -10 + 2

h(7) = -8

So, the equivalent point on h(x) is

(7,-8)

Sam buys a carpet for his apartment. The diagonal length of the carpet is 12 feet and the width is 10 feet. Find the length of the carpet.

Answers

Answer: 6.633 Feet

Step-by-step explanation:

What is this expression in simplified form?
3v3.676
A.
5472
B.
54
C.
18V3
D.
1872

Answers

Answer:

The answer is A. 54 (sqrt)2

Step-by-step explanation:

evaluate the expression when x=11 and y=35 x+y/7​

Answers

when x= 11

or,y= 35x +y/7

or,y= 35×11+y/7

or,y=(385×7+y)/7

or,7y=2695+y

or,7y-y =2695

or,y=2695/6

or, y = 449.167

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