On a recent survey, 60% of those surveyed indicated that they preferred

Mathematics

1 answer:

Oksana_A [137]4 years ago

3 0

Answer:900

60% of 900 is 540

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Find the equation of a line passing through the point(-3,0) and (2,-3)

Svetradugi [14.3K]

Answer <u>(assuming the question allows it to be written in slope-intercept form)</u>:

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$

5 0

3 years ago

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What are two rational numbers between the following:

kirza4 [7]

Between -0.56 and -0.65 : -0.560000000001 and -0.649999999999

Between -5.76 and -5.77 : -5.7601 and -5.7602

Between 3.64 and 3.46 : 3.639 and 3.63900001

5 0

3 years ago

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an apple tree grew 8 feet tall to 10 feet tall over the course of a year what is the percentage change in the tree height ASAP P

ikadub [295]

Answer:

25%

Step-by-step explanation:

height grown in a year = 10 - 8 = 2

$\frac{2}{8}*100=\frac{2*100}{8}\\\\=\frac{200}{8}=25%$