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Varvara68 [4.7K]
3 years ago
14

Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.

Mathematics
2 answers:
sergejj [24]3 years ago
6 0
3x-7y-14 = 0

7y = 3x-14

y = (3/7)x - 2

slope of perpendicular line = -1/(3/7) = -7/3

so function f which is perpendicular and has same y-intercept is

y = (-7/3)x - 2

viva [34]3 years ago
3 0

The general form for a straight line is y = mx + c where m is slope and c is y-intercept.

Two lines are perpendicular when the product of their slopes = -1

Given line 3x - 7y - 14 = 0, its slope = 3/7 and y-intercept = -14/7 = -2

So a line perpendicular to the given and has the same y-intercept is

y = (-7/3) x - 2


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3 years ago
A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue
stepladder [879]

Answer:

9 right-handed gloves and 3 left-handed gloves were sold.

Step-by-step explanation:

Given:  In one month, 12 gloves were sold for a total revenue of \$561.

            right-handed gloves cost \$45 and left-handed gloves cost \$52.

To find: How much of each type of gloves did they sell?

Solution: Let they sell x  right-handed gloves, and y left-handed gloves.

Now, cost of each right-handed gloves =\$45

cost of each left-handed gloves =\$52

Total revenue =\$561

So, we get

45x+52y=561\:\:\:...(i)

Also,  in a month 12 gloves were sold.

So, we get

x+y=12\:\:\:...(ii)

Now, from (ii) we get, x=12-y.

Putting x=12-y in equation (i), we get

45(12-y)+52y=561

\implies 540-45y+52y=561

\implies7y=561-540

\implies7y=21

\implies y=\frac{21}{7}

\implies y=3

Now, putting y=3 in equation (ii), we get

x+3=12

\implies x=12-3

\implies x=9

Hence, 9 right-handed gloves and 3 left-handed gloves were sold.

7 0
3 years ago
Find the value of x.
enot [183]
X is 10 take that’s known 80 degrees and the fact that it is a right angle means the whole this is 90 degrees so therefore x is 10 90=80+_
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