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PolarNik [594]
3 years ago
12

Determine whether quantities vary directly or inversely and find the constant of variation.

Mathematics
1 answer:
insens350 [35]3 years ago
7 0
This is a problem in direct variation.  For every five minutes that goes by, Liz utters 225 words.  The general form of an equation of direct variation is 

w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.

Find k by dividing 225 words by 5 minutes, to find the number of words per minute.

Next:  How many minutes are there between 10:30 a.m. and 11:15 a.m.?  Calculate w=kx, using your constant of proportionality, k, and that number of minutes.
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-6 + -4 + 3 = ? Adding integers
n200080 [17]

Step-by-step explanation:

Hey there!

Here,

=  - 6 + ( - 4) + 3

While working with them remember some rules;

  • (-) + (-) = sign (-) but add them.
  • (+) + (+) = sign (+) and add.
  • (+) - (+) = subtract but keep sign of greator number.
  • (-) -(-) = subtract and keep the sign of greator number.

Likewise in your question,

=  - 6 - 4 + 3

=  - 10 + 3

=  - 7

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Read 2 more answers
The two squares x and y are mathematically similar. The areas of x and y are 17cm squared and 272cm squared, respectively. The l
Rasek [7]
I would set this up as a a proportion:
\frac{17cm}{5cm}  · \frac{272cm}{x} 
17x = 1360
x = 20 cm
6 0
3 years ago
PLS HELP PLSSS HELP
Sonja [21]

The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

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

y = (x -1)(x +9)

y = (x +4)(x -4)

<h3>Factoring quadratic expressions</h3>

From the question we are to factor the given quadratic expressions

  • y = x² + 5x - 14

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

  • y = x² -3x - 54

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

  • y = x² +8x + 12

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

  • y = x² -11x +30

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

  • y = x² - 25

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

  • y = x² + 8x - 9

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

  • y = x² - 16

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

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

y = (x -1)(x +9)

y = (x +4)(x -4)

Learn more on Factoring quadratic expressions here: brainly.com/question/52959

#SPJ1

4 0
2 years ago
Read 2 more answers
the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​
lara31 [8.8K]

If both triangles are similar the ratio of sides will be same

\\ \sf\longmapsto  \frac{x}{24} =  \frac{6}{12}   \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x =  \frac{144}{12}  \\ \\ \sf\longmapsto x = 12

7 0
3 years ago
Is it ok you guys maybe do this one too sorry...<br> (−6)(−0.4)(−0.5)
olchik [2.2K]
(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
5 0
3 years ago
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