What is an equation of the line that is parallel to y=9−4x and passes through (0, 7) ?

Mathematics

1 answer:

gtnhenbr [62]2 years ago

6 0

We are given the equation

y=9−4x

comparing this equation with slope-intercept form y=mx+b

we get slope, m =-4

We have this rule that two parallel lines have same slope

So slope of our line would be m=-4

now we are also given a point (0,7) on the line,

We use this point and slope in the slope intercept form to get y-intercept

y=mx+b

7=-4(0)+b

b=7

so our y intercept is 7 and slope is -4, plugging these two in slope intercept form to get the final equation

y=-4x+7

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In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them

Mariulka [41]

Answer:

<em>Two possible answers below</em>

Step-by-step explanation:

<u>Probability and Sets</u>

We are given two sets: Students that play basketball and students that play baseball.

It's given there are 29 students in certain Algebra 2 class, 10 of which don't play any of the mentioned sports.

This leaves only 29-10=19 players of either baseball, basketball, or both sports. If one student is randomly selected, then the propability that they play basketball or baseball is:

$\displaystyle P=\frac{19}{29}$

P = 0.66

Note: if we are to calculate the probability to choose one student who plays only one of the sports, then we proceed as follows:

We also know 7 students play basketball and 14 play baseball. Since 14+7 =21, the difference of 21-19=2 students corresponds to those who play both sports.

Thus, there 19-2=17 students who play only one of the sports. The probability is:

$\displaystyle P=\frac{17}{29}$