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4 years ago

QF Q6.) Find the following function for b.

Mathematics

2 answers:

frez [133]4 years ago

8 0

4(2x-4)^2 - 3
4(4x^2 - 2(4)(2x) + 16) - 3
4(4x^2 -16x + 16) - 3
16x^2 - 32x + 32 - 3
16x^2 - 32x + 29

inysia [295]4 years ago

6 0

$4(2x-4)^2 - 3
$

$4(2(x-2))2-3$

$4*2^2(x-2)^2-3$

$4*4(x-2)^2-3$

$16(x-2)^2-3$

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Factor this polynomial expression. x^2-16

V125BC [204]

Hi,

We know that:

a² -- b² = (a -- b)(a + b).

With a = x, and b = 4, we have:

x² -- 16 = x² -- 4² = (x -- 4)(x + 4).

As simple as that. Have you understood ?

Green eyes.

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3 years ago

Use the formula to approximate the speed of light, given that the energy contained in a 1kg object is 9 X 10^16 J

erica [24]

Answer:

$c = 3\times 10^{8}\ m/s$

Step-by-step explanation:

According to the theory of mass-energy equivalence:-

$Energy=mass\times c^2$

Where, c is the speed of the light

Given that, Mass = 1 kg

Energy = $9\times 10^{16}\ J$

So, applying in the above equation as:-

$Energy=mass\times c^2$

$9\times 10^{16}\ J=1\ kg\times c^2$

Solving, we get that:-

$c = 3\times 10^{8}\ m/s$

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3 years ago

Use trigonometric ratios to solve for X to the nearest tenth

Elan Coil [88]

Answer: x = 106.5

<u>Step-by-step explanation:</u>

You can use either sin or cos. I will use cos.

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4 years ago

What is the midpoint of the line segment with endpoints(-2,-2) and (4,6)

Ann [662]

Answer:

The midpoint of points $(-2,-2)\ and\ (4,6)$ is $(1,2)$ .

Step-by-step explanation:

Given points are $(-2,-2)\ and\ (4,6)$ . We need to find the midpoint of the line segment.

The formula of finding midpoints between the point $(x_1,y_1)\ and\ (x_2,y_2)$ is

$(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)$

W have points $(x_1,y_1)=(-2,-2)$ . And $(x_2,y_2)=(4,6)$

Let us plug the value in Equation (1)

$(\frac{-2+4}{2} ),(\frac{-2+6}{2})$

$(\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)$

So, the midpoint of points $(-2,-2)\ and\ (4,6)$ is $(1,2)$ .

3 0

4 years ago

Emma buys and sells parts.She bought two tires for $35.00 each and later sold them for $65.00 each.She bought rims for $75.00 ea

otez555 [7]

Answer:

Step-by-step explanation:

She bought two tires for $35.00 each. This means that the total amount for which she bought the tires is

35 × 2 = $70

She later sold them for $65.00 each. This means that the total amount for which she sold the tires is

65 × 2 = $130

Her profit from the tires is

130 - 70 = $60

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75 × 2 = $150

She later sold them for $136.00 each. This means that the total amount for which she sold the rims is

136 × 2 = $272

Her profit from selling the rims is

272 - 150 = $122

Her total profit is

60 + 122 = $182

4 0

3 years ago

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