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katrin2010 [14]
3 years ago
6

Please answer: is y = 4x - 9 a function?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer:

Yes.

Step-by-step explanation:

Yes.

y = 4x - 9 is the equation of a line with slope 4and y-intercept -9.

All non-vertical lines are functions.

Since a line with slope 4 is not a vertical line, this relation is a function.

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Original Price $60 Percent of Discount Sale Price $45
Brums [2.3K]

Answer:

15

Step-by-step explanation:

8 0
3 years ago
Sketch the graph of y=x^2-4x+3
NISA [10]

Answer:

see attached graph

Step-by-step explanation:

Given equation:  y=x^2-4x+3

Standard form of a quadratic equation: y=ax^2+bx+c

where c is the y-intercept

If a > 0 then the parabola opens upwards.

If a < 0 then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

       y=x^2-4x+3

\implies y=x^2-x-3x+3

\implies y=x(x-1)-3(x-1)

\implies y=(x-3)(x-1)

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

\implies \dfrac{dy}{dx}=2x-4

Set to zero and solve for x:

2x-4=0 \implies x=2

Substitute x=2 into the original equation and solve for y:

\implies y=(2)^2-4(2)+3=-1

Therefore, the vertex (or turning point) is at (2, -1)

8 0
3 years ago
Brianna cut her pancake in half to share with friend. If the pancake's distance from one side of the pancake to other side was 8
Gwar [14]

Answer:

Brianne gets 25.12 inches² of pancake.

Step-by-step explanation:

Assuming the pancake to be a circular shape.

If the pancake's distance from one side of the pancake to other side was 8 inches, then diameter of circle = 8 inches. It means radius = 4 inches.

Brianne cut her pancake in half to share with friend. It means Brianne gets half-circular shape. So we need to find area of half-circle.

Area of half-circle = (1/2)πr² = (1/2) x 3.14 x 4² = 1.57 x 16 = 25.12 inches².

Hence, Brianne gets 25.12 inches² of pancake.

8 0
3 years ago
The average credit card debt for American is between $11,000 and $17,000. How could this be written using a margin of error
Alexandra [31]

Answer:

[μ-error, μ + error]

[14000- 3000, 14000 + 3000]

Step-by-step explanation:

We write it how an interval, where the center of the interval is the mean, thus

[μ-error, μ + error]

First we calculate the mean

μ = (11000+17000)/2

μ = $14000

And the error is the absolute value of the difference between the mean an either extreme values

error = |14000 -17000| = |14000 - 11000| = 3000  

Then

[14000- 3000, 14000 + 3000]

5 0
4 years ago
How many triangles ?
Charra [1.4K]
The answer would be 12 triangles. hope that helped
5 0
3 years ago
Read 2 more answers
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