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Aneli [31]
3 years ago
6

Solve for x using the Master Product. 4x^2 + 8x + 3 = 0 Master Product: And try

Mathematics
1 answer:
lozanna [386]3 years ago
6 0
<h2>quadratic equation</h2>

the solution of the quadratic equation is twofold, to find the solution, you can factor it first.

4x² + 8x + 3 = 0

4x² + 6x + 2x + 3 = 0

2x(2x + 3) + 1(2x + 3) = 0

(2x + 3) (2x+1) = 0

2x+3=0 or 2x+1=0

x=-3/2 x=-1/2

<em><u>You can try to prove that the x value above will produce 0</u></em>

• first x = -3/2

= 4(-3/2)² + 8(-3/2) + 3

= 9 - 12 + 3

= 0 (true ✔️)

• second x = -1/2

= 4(-1/2)² + 8(-1/2) + 3

= 1 - 4 + 3

= 0 (true ✔️)

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A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 12 hours?
anzhelika [568]
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3 years ago
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What is the approximate radius of a sphere with a volume of 1436cm to power of 3
Margarita [4]

Answer:

<h3>The radius is 7 cm</h3>

Step-by-step explanation:

Volume of a sphere is given by

V =  \frac{4}{3} \pi {r}^{3}

where r is the radius

From the question V = 1436 cm³

1436 =  \frac{4}{3} \pi {r}^{3}

Multiply through by 3

We have

4308 = 4\pi {r}^{3}

Divide both sides by 4π

{r}^{3}  =  \frac{4308}{4\pi}

{r}^{ 3}  =  \frac{1077}{\pi}

Find the cube root of both sides

r =  \sqrt[3]{ \frac{1077}{\pi} }

r = 6.99

We have the final answer as

<h3>r = 7cm</h3>

Hope this helps

3 0
3 years ago
Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
Zina [86]

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

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6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -5 = -1/3(x - 3)

y + 5 = -1/3x + 1

y = -1/3x - 4

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3 years ago
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GarryVolchara [31]
B. r = 75m + 1350 I think is the answer. I hope this helped you!
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