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 > .

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°.

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;

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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]

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

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)

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

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

Answer:

e

Step-by-step explanation:

the graph should look something like this

Answer: 6.633 Feet

Step-by-step explanation:

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

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.

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!

[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

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]

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

Answer:

V = 20,000 - 2,000t

Answer:

The answer is A. 54 (sqrt)2

Step-by-step explanation:

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

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:

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

See this attachment

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

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.

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

Answer: A and C

Step-by-step explanation:

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

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!!

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

Answer:

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

Answer:

Step-by-step explanation:

Answer is c

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.

Answer:

C

Step-by-step explanation:

99+60=159.

159+60=219

219+60=279