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3 years ago

5

What is the range of the following data set?

1 answer:

sashaice [31]3 years ago

5 0

Answer: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

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Which of the following is equal to the rational expression when x does not equal -3 x^2-9/x+3

mestny [16]

Answer:

x - 3

Step-by-step explanation:

Given

$\frac{x^2-9}{x+3}$

Note that x² - 9 is a difference of squares and factors as

x² - 9 = (x + 3)(x - 3), thus

$\frac{(x+3)(x-3)}{x+3}$

Cancel the x+ 3 factor on the numerator/ denominator leaving

x - 3 ← in simplified form

8 0

3 years ago

What should be subtracted from the product of<br>3/7 and 2/5 to get -4/35?

bonufazy [111]

$\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Let $x$ be the unknown number.

As per the question, we have

$\: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35}$

➺ $\: \frac{6}{35} - x = \frac{ - 4}{35}$

➺ $\: - x = \frac{ - 4}{35} - \frac{6}{35}$

➺ $\: - x = \frac{ - 4 - 6}{35}$

➺ $\: - x = \frac{ - 10}{35}$

➺ $\: x = \frac{2}{7}$

Therefore, $\frac{2}{7}$ should be subtracted from the product of $\frac{3}{7}$ and $\frac{2}{5}$ to get $\frac{ - 4}{35}$ .

$\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}$

$\: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35}$

➼ $\: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35}$

➼ $\: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35}$

➼ $\: \frac{6 - 10}{35} = \frac{ - 4}{35}$

➼ $\: \frac{ - 4}{35} = \frac{ - 4}{35}$

➼ $\: L.H.S.=R. H. S$

$\sf\purple{Hence\:verified. }$

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}$

3 0

3 years ago

Find the slope of the line y =7/8x- 9/5. Simplify your answer and write it as a proper fraction, improper fraction or integer

Ilya [14]

Answer:

7/8

Step-by-step explanation:

The coefficient of x is the slope, so 7/8.

3 0

3 years ago

Find the x-intercepts (solve for x) for the following AND PLEASE SHOW YOUR WORK! y=−2x^2−9x+5

frosja888 [35]

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts set y = 0, that is

- 2x² - 9x + 5 = 0

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.

product = - 2 × 5 = - 10 and sum = - 9

The factors are - 10 and + 1

Use these factors to split the middle term

- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )

- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )

(x + 5)(- 2x + 1) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

- 2x + 1 = 0 ⇒ x = $\frac{1}{2}$

x-intercepts are x = - 5 and x = $\frac{1}{2}$

7 0

4 years ago

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and

Leya [2.2K]

A......................................

7 0

3 years ago

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