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pickupchik [31]
3 years ago
7

Solve the following quadratic equation 6x2 – 7x = 20

Mathematics
2 answers:
siniylev [52]3 years ago
5 0

Answer:

<h2>x = 5/2 , x = - 4/3</h2>

Step-by-step explanation:

6x² - 7x - 20 = 0

Using method of factorization

Rewrite - 7x as a difference

That's

6x² + 8x - 15x - 20 = 0

Factor the expression

That's

2x( 3x + 4) - 5( 3x + 4) = 0

Which is

(2x - 5) (3x + 4) = 0

2x - 5 = 0

2x = 5

Divide both sides by 2

x = 5/2

3x + 4 = 0

3x = - 4

Divide both sides by 3

x = -4/3

Hope this helps you

Marat540 [252]3 years ago
4 0

Answer:

x = -4/3 or x = 5/2

Step-by-step explanation:

given  6x² - 7x = 20

There are several ways to solve this, we'll choose to use the quadratic formula:

Recall that for a quadratic equation ax² + bx + c = 0

x = [ -b±√(b²-4ac)  ] / 2a

in our case, if we rearrange the equation, we will get:

6x² - 7x -20 = 0

comparing this with the general form of the quadratic equation above, we can see that

a = 6, b = -7 and c = -20

substituting these into the equation:

x = [ -b±√(b²-4ac)  ] / 2a

x = { -(-7)±√[(-7)²-4(6)(-20)] } / 2(6)

x = -4/3 or x = 5/2

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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

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7 0
3 years ago
What is a, b, and c in this quadratic equation?
Vilka [71]
A = 7
b = -18
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Do you know what the Quadratic formula is to solve?
4 0
3 years ago
Find the equation of the line that passes through points a and b
Blizzard [7]

Answer:

y - 7 = 2(x - 1)

Step-by-step explanation:

Going from (-3, -1) to (1, 7), x increases by 4 and y by 8.  These numbers are the 'run' and 'rise' of the line, respectively.  Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.

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2 years ago
A metallic spherical ball of radius 14 cm is being melted and recast it into spherical balls of radius 2 cm. How many spherical
mojhsa [17]

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

4 0
2 years ago
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