The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?

Answer:

tag archives and records and counting the days

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33

Answer:

x = 7

Step-by-step explanation:

The difference between the length and width is 3 , then length = x - 3

area (A) of rectangle = length × width

A = x(x - 3) = 28 , distribute parenthesis

x² - 3x = 28 ( subtract 28 from both sides )

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

However, x > 0 , then x = 7

Answer:

113.04 cm^2

Step-by-step explanation:

To find the area, you do radius squared, multiplied by [tex]\pi[/tex]

Radius is half of the diameter. 12/2 is 6

6^2×3.14=113.1

Answer:

3/4 bags of trail mix

Step-by-step explanation:

She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left

Answer:

  a[1] = 80; a[n] = -a[n-1]/4

Step-by-step explanation:

The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...

  [tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]

his average speed as he ran: V = S/t = 100/12 = 25/3 (m/s)

ok done. Thank to me :>

Speed is the time rate at which an object is moving along a path. 25/3 is the average speed as he ran

Speed is the time rate at which an object is moving along a path.

Speed =Distance/Time

His average speed as he ran:

V = S/t

Hundred by twelve.

= 100/12

Divide numerator and denominator by four.

Twenty five by three.

Average speed= 25/3 (m/s)

Hence if Andre ran a 100 meter race in 12 seconds. 25/3 is the average speed as he ran

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Answer:

(8x^9 x y^4) : (1/2x^3)=16x^6y^4

Step-by-step explanation:

8 : 1/2 = 16

x^9 : x^3 = x^6

Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.

Let the required term be z.

[tex]z/ (1/2x^3)=16x^6y^4[/tex]

[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]

[tex]z = 8x^3y^4[/tex]

Hence, [tex]8x^3y^4[/tex]

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Answer:

Step-by-step explanation:

You are working with a square. All 4 sides are equal

2x+ 1 = 4x - 7         Subtract 2x from both sides

1 = 4x - 2x - 7         Combine

1 = 2x - 7                Add 7 to both sides

1 + 7 = 2x               Combine

2x = 8                    Divide by 2

2x/2 =8/2

x = 4

The diagonals of a square bisect the 90 degree angle.

7y + 3 = 45           Subtract 3 from both sides

7y = 45 - 3            Combine

7y = 42                 Divide by 7

y = 42/7

y = 6

Answer:

The formula y = mx + b is said to be a linear function

Step-by-step explanation:

Answer:

D. is a linear function

Step-by-step explanation:

A. rational function

B. quadratic function

C. cube root function

Answer:

D. 24

Step-by-step explanation:

This can be rewritten as

-16 + -8

This is equal to -24

Answer:

D= -24

Step-by-step explanation:

coz I used the table method so I also found it's correct

Answer:

both are c

Step-by-step explanation:

Answer:

y = 5(4ˣ)

Step-by-step explanation:

Answer:

y = 5 * 4^x

Step-by-step explanation:

exponential functions are of the form

y = ab^x

to find a use point (0, 5)

5 = ab^0

5 = a * 1

a = 5

To find b use any other point

using (1, 20)

20 = 5(b^1)

4 = b^1

b = 4

The equation is

y = 5 * 4^x

Answer:

Y=76x

Step-by-step explanation:

if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.

Answer:

Step-by-step explanation:

The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them

(380 - 228) / (5 - 3) = 152/2 = 76

Not all problems work out this nicely.

The answer is

y = 76x

In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.

Answer:

sorry! unfortunately I don't know the answer

Answer: 924 / 6 = 154

Step-by-step explanation: Yes, you are correct 924 / 6 =154

Answer:

A is the answer.

Step-by-step explanation:

Look at the graph of graph A. It has given the correct distance between 2 and -5.

Hoped this helped.

Answer:

B.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

use these formulas to solve

Step-by-step explanation:

Principal( P) = interest / rate x time

Rate (R) = intrest / principal x time

Intrest (I) = PRT

Answer:

21000,14000,and14000

Step-by-step explanation:

3x+2x+2x=49000

7x=49000

x=7000

3×7000=21000

2×7000=14000

2×7000=14000

Answer: Even

Step-by-step explanation:

Because it shows that the is 2k

the even numbers 2k+2,2k+4,...,4k,4k+2

if any doubt leave a comment below

Answer:

y = 5x - 16

Step-by-step explanation:

1. To solve this question, we must convert 5x - y = 16 into slope-intercept form (y = mx + b).

2. (Solving for y)

Step 1: Subtract 5x from both sides.

Step 2: Divide both sides by -1.

Therefore, the answer is y = 5x - 16.

Answer:

A. 1.56

Step-by-step explanation:

[0(3) + 1(9) + 2(10) + 3(2) + 4(1)] / [3 + 9 + 10 + 2 + 1]

[tex]0.18[/tex]

is the decimal point