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denis-greek [22]
3 years ago
10

suppose x and y vary inversely and y=10 when x=4. write a function that models the variation then find y when x =90

Mathematics
1 answer:
ankoles [38]3 years ago
4 0
X = k/y
4 = k/10
k = 4 x 10 = 40
Thus, x = 40 / y

90 = 40 / y
y = 40/90 = 4/9
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A line passes through the points (2,-4) and (6,10). What is the equation of the line?
deff fn [24]

Answer:

y = \frac{7}{2} x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = \frac{10+4}{6-2} = \frac{14}{4} = \frac{7}{2} , thus

y = \frac{7}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = \frac{7}{2} x - 11 ← equation of line

7 0
3 years ago
What is the simplified sum of 3x/x-4 + x-3/2x
zubka84 [21]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>-1 - 1/2x</em>

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
Read 2 more answers
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Alexandra [31]
37x + 45y = 7940
75x + 45y = 10,410

Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.

In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).

Now you have 75x + (7940 - 37x) = 10,410

Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410

Subtract 7940 from both sides and you have 38x = 2470.

Divide both sides by 38 and you have x = 65

To solve for y, take you first equation (or even the second one) and substitute c for 65.

(37 x 65) + 45y = 7940
2405 + 45y = 7940

Subtract 2405 from each side.

45y = 5535

Divide each side by 45 and you have y = 123

Regular tickets = $65
VIP tickets = $123
7 0
2 years ago
Write each fraction as a decimal. Use bar notation if necessary odds only
bija089 [108]

Answer:number one=0.4667  and two is 0.44444444444

Step-by-step explanation:

4 0
3 years ago
Use the discriminant to determine the nature of the roots of the following questions
soldier1979 [14.2K]

Answer:

the function has two distinct real roots.

Step-by-step explanation:

D=b²-4ac    

D<0 No real roots

D=0 One real root

D>0 Two distinct real root.

    (-5)²-4*1*-3

    25+12

    37

Since D is > than 0, the function has two distinct real roots.

6 0
3 years ago
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