What is the equation of the given linear function?

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6

Answer: (5,11)

Step-by-step explanation:

Answer:

k = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

To find k use any coordinate point lying on the graph

Using (12, 6 ), then

6 = 12k ( divide both sides by 12 )

k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

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Answer:

I think A but i'm not sure

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

The height of the tree is 21 feet.

Given that,

Based on the above information, the calculation is as follows:

[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]

x = 21.02

= 21 feet

Therefore we can conclude that the height of the tree is 21 feet.

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Answer:

it's the one all the way to the right

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Answer:

-3/2

Step-by-step explanation:

Answer:

add me on snap kharding1805 and I will add you back

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Answer:

8

Step-by-step explanation:

32/4=8

Answer: 8 minutes

Step-by-step explanation: You can use a proportion to calculate.

[tex]\frac{32}{4} = \frac{x}{1}[/tex]

32 x 1 / 4 = 8

8 minutes = 1 mile

Answer:

-1

Step-by-step explanation:

Answer:

Close to 6 miles. Exact is between 5.7 and 6

Step-by-step explanation:

Answer:

no  

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

put like terms on either side

9x + 2a = 3a - 4x

subtract both sides by 2a

9x = a - 4x

add both sides by 4x

13x = a

divide both sides by 13

x = a/13

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Answer:

4.) a/13

Step-by-step explanation:

9x + 2a = 3a - 4x

9x + 4x = 3a - 2a

13x = a

13x/13 = a/13

x = a/13

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B

Answer:

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

The Answer is 4.

You isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C 4

Step-by-step explanation:

Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

[tex]\sqrt{5.494}[/tex]

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = [tex]\frac{63}{6}[/tex]

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Answer:

agree

Step-by-step explanation:

I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.

Answer:

Brand A is the better buy

Step-by-step explanation:

bag Which is the better buy?

Step one

Brand A: $5 for 80 pounds of sand

Let us find the unit cost

Unit cost =5/80

=$0.0625 per pound

Brand B: $14 for 175 pound

The unit cost is

=14/175

=$0.08 per pound

Answer: x = 4/7

Explanation and steps is in the image below.

The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6 - 2(x + 5)/3 = 4x

Apply the distributive property of multiplication,

6 - (2x + 10)/3 = 4x

(2x + 10)/3 + 4x = 6

2x/3 + 10/3 + 4x = 6

2x/3 + 4x = 6 - 10/3

Take the LCM in the above equation,

14x/3 = 8/3

14x = 8

x = 8 / 14

x = 4 /7

Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

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answer

[tex] {36k}^{2} - 1[/tex]

using identity

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

let a=6k and b=1

we get

[tex](6k + 1)(6k - 1)[/tex]

hope you are satisfied