Which of the following equations describes the line shown below , check all that apply

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

5 0

The slope is 1/4, so only choices B, D, E are worth considering. Only choices D and E have the correct point in the point-slope form.

The appropriate selections are
D. y -4 = (1/4)(x -4)
E. y -6 = (1/4)(x -12)

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What is represented by p v q?

Stella [2.4K]

$\lor$ is the logical or/disjunction symbol. $p\lor q$ means " $p$ or $q$ ". Disjunction is commutative, which means $p\lor q$ is equivalent to $q\lor p$ .

So if $p$ represents $x$ and $q$ represents $x>3$ , then $p\lor q\equiv q\lor p$ means $x>3$ or $x$ .

4 0

4 years ago

two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

Lerok [7]

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

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14. Determine whether x3 is O(g(x)) for each of these functions g(x). a) g(x) = x2 b) g(x) = x3 c) g(x) = x2 + x3 d) g(x) = x2 +

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Answer and explanation with steps are in the following attachments

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