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Debora [2.8K]
3 years ago
15

The value of y varies directly with x. Which function represents the relationship between x and y if y = 20/3 ?

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0
What does x equal? In order to find the relationship between x and y we need to know both values at a given instance. For example, if x = 10 while y = 20/3, then we know that you = 20x/30 or 2x/3.

You might be interested in
Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana
zepelin [54]

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6       (1)

For Dawn

3A + 6B = 6.3     (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18          (3)

15A + 30B = 31.5       (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

4 0
3 years ago
if a rental car agency charges $17 per day plus 10 cents per mile to rent a certain car.Another agency charges $21 per day plus
SashulF [63]
17+(10X)= 21+(5x) is the equation
17 +(10x1)= 21+(5x1)
17+10=21+5
27=27
So your answer is it takes 1 mile per day
Hope its right lol
7 0
3 years ago
Drew’s score on a math text was 92.He could earn an extra 1/2 point for each incorrect problem he corrected. Drew corrected 3 pr
svp [43]

Answer:

Point S represent the score 93.5 which is Drew's New Score.

Step-by-step explanation:

The score of Drew on a math test = 92

Point for each correction in the math test = 1/2  = 0.5

Now, the number of problems corrected = 3 x 0.5 = 1.5

So, Now, the new scale of Drew =  Old Score + The Correction Score

                                                       = 92  +  1.5

                                                       = 93.5

or, Drew, new score = 93.5

Hence, point S represent the score 93.5 which is Drew's New Score.

8 0
3 years ago
A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance f
34kurt

Answer:

A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

Therefore, we have;

A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.

4 0
3 years ago
F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers
olchik [2.2K]

Answer:

<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)

     = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common

     = (x² + 2 ) ( x² - x - 2)

     = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)

            (x² + 2)= (x + √2 i) (x - √2 i)

            ( x² - x - 2) = (x -2 ) ( x+1)

8 0
3 years ago
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