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spayn [35]
3 years ago
7

Write an equation of the line passing through the points (4,15) and (-1,- 15).

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

y= 6x-9

Step-by-step explanation:

1. First find the gradient between the two points. Gradient =6

2. Using the formula y= mx+c substitute the gradient into the equation. You'll get something like this: y= 6x+c

3. Substitute the point (4,15) into the equation. You'll get something like this: 15= 6(4) +c.

4. Calculate the value of c. You'll get - 9 as an answer to that.

5. Substitute the value of c into the original equation. Your final answer will be y= 6x-9

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Solve the system of equations for 7x+2y=16 and -21x-6y=24
Georgia [21]
Simplifying
7x + 2y = 16

Solving
7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
7x + 0 = 16 + -2y
7x = 16 + -2y

Divide each side by '7'.
x = 2.285714286 + -0.2857142857y

Simplifying
x = 2.285714286 + -0.2857142857y
6 0
3 years ago
Math
denis-greek [22]

Answer:

\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}

Step-by-step explanation:

<u><em>the mean in period</em></u> 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

<u><em>the mean in period</em></u> 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

7 0
2 years ago
What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?​
skelet666 [1.2K]
32.25 is the cost of the bill
8 0
3 years ago
Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si
Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months


3 0
3 years ago
5√-54 in simplest radical form
rjkz [21]

YOUR ANSWER IS 15i radical 6


7 0
3 years ago
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