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3 years ago

1/2(y+3)>1/3(4-y) with the steps

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

$\frac{1}{2(y-3)}>\frac{1}{3(4-y)}=>3(4-y)>2(y-3)$

12 - 3y > 2y - 6

12 + 6 > 2y + 3y

18 > 5y

$y$

y ∈ (-oo, $\frac{5}{18}$ )

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Jamal pays an initial fee of $50 and $4.00 for each audio book he downloads?

olganol [36]

Answer:

4x + 50 = y

Step-by-step explanation:

Since it is $4 for each audiobook, this means that it is the slope.

Since Jamal started with an initial fee, this makes it the y-intercept.

So the equation is $4 per audiobook = 4x, initial fee of $50 which makes the equation: 4x + 50 = y

<u>Y-intercept</u> is the starting number, in this case, the initial fee.

<u>Slope</u> is the rate at which a value is increasing, in this case, for each audiobook bought, $4 is spent

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2 years ago

How many fifths are in 2? PLEASE HELP

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3 years ago

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Which of the following is a quadratic function?

rewona [7]

the function of quadratic is number4

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3 years ago

HELP ME!! im so stumped. will give brainliest!

Olegator [25]

Answer:

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

$y=a\left(x-h\right)^2+k$

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

$y=a\left(x-1\right)^2-9$ ...(i)

Plug given point (0, -6). into (i)

$-6=a\left(0-1\right)^2-9$

$-6=a\left(-1\right)^2-9$

$-6=a\left(1\right)-9$

$-6+9=a$

$3=a$

Plug a=3 into (i)

$y=3\left(x-1\right)^2-9$

Now to find x-intercept, we just plug y=0 and solve for x

$y=3\left(x-1\right)^2-9$

$0=3\left(x-1\right)^2-9$

$9=3\left(x-1\right)^2$

$3=\left(x-1\right)^2$

$\pm \sqrt{3}=x-1$

$1+\pm \sqrt{3}=x$

Hence final answer are

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

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3 years ago

A runner starts at the 2.0 meter line and runs to the 8.0 meter line in 2.4 seconds. What was their average velocity?

Ganezh [65]

Answer:

the averege is 2.34

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Step-by-step explanation:

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3 years ago