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2 years ago

What are the zeros of the quadratic function f(x)=8^2-16-15

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

6 0

Answer:

Step-by-step explanation:

f(x)= $8x^{2} -16x-15$
$8x^{2} -16x-15=0$
$x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$ , a=8, b= - 16, c= - 15

$x=\frac{-(-16)+-\sqrt{(-16)^2-4*8*(-15)} }{2*8} = \frac{16+-\sqrt{736} }{16} =\frac{16+-4\sqrt{46} }{16} = 1 +- \frac{\sqrt{46} }{4} = 1+- \frac{\sqrt{23} \sqrt{2}}{2\sqrt{2} \sqrt{2} } =1+-\frac{\sqrt{23} }{2\sqrt{2} } = 1+-\frac{\sqrt{23} }{\sqrt{8} }$

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What is the standard form polynomial representing the volume of this shipping container?

harina [27]

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

= [(4x² + 3x)(x²- 8)](6x + 15)

= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

8 0

2 years ago

Read 2 more answers

ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

3 0

3 years ago

Find the area of the carpet tile. Then find the area covered by 120 carpet tiles.

weqwewe [10]

The area of the carpet is the amount of space it occupies

The area of the carpet tile is 256 square inches
The area covered by 120 tiles is 30720 squares inches

<h3>How to determine the carpet area</h3>

The dimension of the carpet tile is 16 inches by 16 inches

So, the area is:

$Area = 16 * 16$

Evaluate the product

$Area = 256$

Hence, the area of the carpet tile is 256 square inches

For 120 carpet tiles, the area is:

$Area = 120 * 256$

$Area = 30720$

Hence, the area covered by 120 tiles is 30720 squares inches

Read more about areas at:

brainly.com/question/24487155

7 0

2 years ago

Brainliest for best answer. No stupid answers please!

gladu [14]

Answer:

They both have the same slope.

They have different y- intercepts.

They have no solution.

Please let me know, if I am right or wrong. I try my best to give correct answers

3 0

3 years ago

Read 2 more answers

The slope of the line containing the points (-2,3) and (-3,1) is

Irina18 [472]

To calculate the slope containing two points, we can use that formula:

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

"m" represents the slope and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}$

The answer is 2 uc.

5 0

2 years ago