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2 years ago

Number of

Mathematics

1 answer:

jekas [21]2 years ago

7 0

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x y

2 6

4 12

6 18

8 24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

$k = \frac{y}{x}$

When y = 24; x = 8

So, we have:

$k = \frac{24}{8}$

$k = 3$

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Need help, please explain

Sever21 [200]

Answer:

(x - 2)(x + 2)

Step-by-step explanation:

x² - 4 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), that is a product of two binomials

Given

x² - 4

= x² - 2²

= (x - 2)(x + 2)

7 0

3 years ago

The G.C.D and L.C.M of three numbers are 3 and 1008 respectively. If two of the numbers are 48 and 72 ,find the least possible v

den301095 [7]

formula= LCM ×GCD of the numbers ÷ The first number

3 0

3 years ago

If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20

butalik [34]

<h2>Answer:</h2> $10.\text{ Option B is correct}$

<h2>Explanation:</h2>

Given the equation expressed as:

$2x+5=8x$

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

$\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}$

Step 3: Subtract 8x from both sides

$\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}$

Step 4: Divide both sides by -6

$\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}$

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

$\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}$

Therefore the value of 12x is 10

3 0

1 year ago

What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm

vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0

3 years ago

Lynnette can wash 959595 cars in 5 days.<br> How many cars can Lynnette wash in 11 days?

aleksley [76]

Answer:

Lynnette can wash 2111109 in 11 days

Step-by-step explanation:

Have a good day :)

6 0

3 years ago