Which table represents a linear function?

Answer:

a)  12a + 3b + 2c

b)  19y + 9x

c)  11k + 7m + 3n

Step-by-step explanation:

a)  4a + 3b + 8a + 2c

    12a + 3b + 2c

b)  6x + 4y + 3y + 7y + 5y + 3x

    6x + 19y + 3x

    19y + 9x

c)  5k + 3m + 4m + 3n + 6k

    5k + 7m + 3n + 6k

    11k + 7m + 3n

Answer:

a) 12a+3b+2c

b) 9x + 19y

c) 11k+7m+3n

Step-by-step explanation:

a) 4a+3b+8a+2c

Combining like terms and adding them

=> 4a+8a+3b+2c

=> 12a+3b+2c

b) 6x+4y+3y+7y+5y+3x

Combining like terms and adding them

=> 6x+3x+3y+7y+5y+4y

=> 9x + 19y

c) 5k + 3m + 4m + 3n + 6k

Combining like terms and adding them

=> 5k+6k+3m+4m+3n

=> 11k+7m+3n

Answer:

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

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

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20​

Add 10 to each side

5d - 10+10 = 20+10

5d = 30

Divide by 5

5d/5 = 30/5

d = 6​

Answer:

d = 6

Step-by-step explanation:

5d - 10 = 20

Add 10 to both sides of the equation

5d = 30

Divide both sides of the equation by 5

d = 6

Hope this helps :)

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Answer:

Hello!

____________________

77 = 1 x 7 x 11

91 = 1 x 7 x 13

143 = 1 x 11 x 13

Step-by-step explanation: There are no HCF's except 1. So 1 is the highest common factor. HCF ( 77, 91 143 ) = 1

Hope this helped you!

Answer:

HCF = 1

Step-by-step explanation:

Factors of 77 = 1,7,11,77

Factors of 91 = 1, 7, 13, 91

Factors of 143 = 1, 11, 13, 143

The Highest factor which is common in all of the factors is 1.

Index notation = [tex]1^1[/tex]

Answer:

Step-by-step explanation:

This problem has to do with matrix multiplication.

we have a row matrix multiplying a 2x2 matrix, this will result to a row matrix

=[4*-2+2*7] and [4*5+2*-1]

=[-8+14] and [20+-2]

=[6  18]

Answer:

c. (6,18)

Step-by-step explanation:

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

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Answer:

The answer is B.

Step-by-step explanation:

You can expand it in a simplier way using :

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

So for this question :

[tex] {(5x + 7)}^{2} \\ = {(5x)}^{2} + 2(5x)(7) + {(7)}^{2} \\ = 25 {x}^{2} + 70x + 49[/tex]

Answer:

B. 25x^2+70x+49

Step-by-step explanation:

To multiply we can use a method called FOIL. In this method, we multiply the first terms of each binomial, then the outer terms (first and last), then the inner terms (2nd and 3rd), and finally the last terms (2nd and last). The two binomials in this case are (5x+7)(5x+7).

So this means we first multiply 5x*5x, then 5x*7, then 7*5x, and finally 7*7. Multiplying these out we get 25x^2 + 35x + 35x +49. Finally, combining like terms we get 25x^2+70x+49, which is our answer.

Answer:

x^4 -3x^3 - 18x^2

Step-by-step explanation:

f(x)= x-6

g(x)=x^2(x+3),

g(x) * f(x) = (x-6) * x^2(x+3)

                = x^2 ( x-6) ( x+3)

FOIL

                = x^2 ( x^2 +3x-6x-18)

 Combine like terms

                = x^2 ( x^2 -3x-18)

   Distribute

               = x^4 -3x^3 - 18x^2

Answer:

x⁴ - 3x³ - 18x²

Step-by-step explanation:

g(x) × f(x)

(x²(x + 3)) × (x - 6)

Expand brackets.

(x³ + 3x²)(x - 6)

x³(x - 6) + 3x²(x - 6)

x⁴ - 6x³ + 3x³ - 18x²

Combine like terms.

x⁴ - 3x³ - 18x²

Answer:

y = -x -7

Step-by-step explanation:

-5 = -1(-1) + b

-7 = b

y = -x -7

Answer:

y=−x−6

Step-by-step explanation:

b=−5−(−1)x(−1)=−6.

so  y=mx+b.

y=−x−6.

Answer:

The slope of the line is m=−1.

The equation of the line in the slope-intercept form is y=−x−6.

Answer:

Well on a machine there are 3 fundamental areas which are the point of operation, the power transmission device, and the operating controls.

You can find more of this information on google if youd like.

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

Answer:

Step-by-step explanation:

[tex]0.6y + 0.8 = 0.28y + 1.12[/tex]

Move the variable to L.H.S and change its sign:

[tex]0.6y - 0.28y + 0.8 =1.12[/tex]

Move the constant to R.H.S and change its sign:

[tex]0.6y - 0.28y = 1.12 - 0.8[/tex]

Calculate

[tex]0.32y = 0.32[/tex]

Divide both sides of the equation by 0.32

[tex] \frac{0.32y}{0.32} = \frac{0.32}{0.32} [/tex]

Calculate

[tex]y = 1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Hello!

`~~~~~~~~~~~~~~~~~~~~

0.6y + 0.8 = 0.28y + 1.12 =

[tex]y = 1[/tex]

~~~~~~~~~~~~~~~~~`~~~

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you. Brainliest would be nice!

☆_________________❤︎_________________☆

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

There are no restrictions as to what x can be in this function

In the function given, it can take any x variable without it causing any problems in the function when solved.

So, any value can be x (all real numbers)

Best of Luck!

Answer:

Solution,

( 5x - 3y) ( 3x +4y)

Multiply each terms in the first parentheses by each term in the second paranthesis.

5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y

Calculate the product

15x^2 + 20xy -9xy -12y^2

Collect like terms and simplify

15x^2 + 11xy -12y^2

Hope this helps...

Good luck on your assignment...

Answer:

[tex]\boxed{\red{15 {x}^{2} + 11xy - 12 {y}^{2}}} [/tex]

Step-by-step explanation:

[tex]\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2} + 20xy - 9xy - 12 {y}^{2} } \\ \pink{= 15 {x}^{2} + 11xy - 12 {y}^{2} }[/tex]

Answer:

standard deviation=143.527

C

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the  √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

Answer:

C-the new standard deviation is greater the $27

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Answer: 45

Step-by-step explanation: that is correct

Answer:

This property is known as the associative property

Step-by-step explanation:

In the associative property, you rearrange the numbers so they make the most sense in what position they are in.

Hope this helps! :)

Answer:

associate property

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Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8

Answer:

405.

Step-by-step explanation:

First term = a1

5th tern = a1 r^4

So a1r^4 - a1  = 400       r = 3 so:

3^4 * a1 - a1 = 400

a1(81-1) = 400

80a1 = 400

a = 5

Therefore the fifth term =  5* 3^4

= 405.

The first term and fifth term of Geometric progression will be 5 and 405, respectively.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The common ratio of a g.p is 3. given that the 5th term is greater than the first term by 400. Then the equation is given as,

a₅ - a₁ = 400           ...1

a₅ = a₁ · 3⁴              ...2

From equations 1 and 2, then we have

81a₁ - a₁ = 400

80a₁ = 400

a₁ = 5

Then the value of the fifth term is given as,

a₅ = a₁ · 3⁴

a₅ = 5 x 81

a₅ = 405

The first term and fifth term of Geometric progression will be 5 and 405, respectively.

More about the geometric sequence link is given below.

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Answer:

Answer=8

Step-by-step explanation:

Three less than the quotient of 10 and a number increased by 6

Quotient of ten and a number=10/n

(10/n-3)+6

Let n=2

(10/2-3)+6

(5-3)+6

=2+6

=8

The answer is 8

Answer:

8

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

B. -1/3x

Step-by-step explanation:

Start with

y = mx + b

The y-intercept is 0, so we have

y = mx

To find m, the slope, start at (0, 0).

slope = m = rise/run

Go up 1 unit and left 3 units. Rise = 1; run = -3.

m = 1/(-3) = -1/3

Now we have

y = -1/3x

Answer: B.