Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
Step-by-step explanation:
Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.
ATQ,
3x+4y = 10.25 ...(1)
2x+2y = 5.5 ..(2)
Multiply equation (2) by 2.
4x+4y = 11 ...(3)
Now, subtract equation (1) from (3).
4x+4y-(3x+4y) = 11-10.25
4x+4y-3x-4y = 0.75
x = 0.75
Put the value of x in equation (2)
2(0.75)+2y = 5.5
1.5+2y = 5.5
2y = 5.5 - 1.5
2y = 4
y = 2
So, there are 0.75 pounds of bananas and 2 pounds of grapes.
Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
( f - g )(x) = 10x - 17 and ( f ° g)(-6) = 60. The answers are option D and B
<h3>
There are different type of Function</h3>
Different types of function demands different ways of solving them. Different types are simple function, function by substitution and function of function.
Given that
f(x) =
+ 9x - 14 and g(x) =
- x + 3
( f - g )(x) will be the difference between f(x) and g(x)
( f - g )(x) =
+ 9x - 14 - (
- x + 3)
( f - g )(x) =
+ 9x - 14 -
+ x - 3
( f - g )(x) = 10x - 17
Also, if f(x) =
- 15 and g(x) = 1 - 2/3 x
( f ° g)(-6) means that we will evaluate g at -6, then evaluate f at the result of g(-6)
g(-6) = 1 - 2/3 (-6)
g(-6) = 1 + 4
g(-6) = 5
f(g(-6)) = 3(
) - 15
f(g(-6)) = 3 x 25 - 15
f(g(-6)) = 75 - 15
f(g(-6)) = 60
Therefore, ( f - g )(x) = 10x - 17 and ( f ° g)(-6) = 60
Learn more about Function here: brainly.com/question/25638609
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