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2 years ago

Eight less than fout times a number is less than 56. what are the possible values of that number

Mathematics

2 answers:

Delicious77 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Let the number be x

Four times the number : 4x

Eight less than four times a number: 4x - 8

4x - 8 < 56

Now add 8 to both sides,

4x < 56+8

4x < 64

Divide both sides by 4,

x < 64/4

x < 16

Possible values of number = Value less than 16

Arada [10]2 years ago

3 0

Answer:

x<16

Step-by-step explanation:

number n

eight less than four times a number ... 4 x n - 8

is less than 56 ... < 56

4 x n - 8 < 56

4 x n < 56 + 8

4 x n < 64/4

n < 64 / 4

n < 16

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Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

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2 years ago

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

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3 years ago

According to the Rational Root Theorem, Negative two-fifths is a potential rational root of which function?

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Answer:

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Step-by-step explanation:

Because it has to be this one

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3 years ago

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Factorise fully : 4(x - y)^2 - 9(x + y)^2

sergeinik [125]

Answer:

- ( 5x + y ) ( x + 5y )

-5x^2 - 5y^2 - 26xy

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3 years ago

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In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Lesechka [4]

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

$\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}$

Since, $\frac{\text{AB}}{ED}=\frac{AC}{DC}$

$\frac{42}{6}=\frac{x}{(32-x)}$

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = $\frac{1344}{48}$

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

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3 years ago

Eight less than fout times a number is less than 56. what are the possible values of that number ​

Eight less than fout times a number is less than 56. what are the possible values of that number