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2 years ago

Find all roots (zeros) please show work!!

Mathematics

1 answer:

mamaluj [8]2 years ago

6 0

Answer:

- $\frac{1}{2}$ , 0

Step-by-step explanation:

8x⁴ + x = 0

factor out x:

x(8x³ + 1) = 0

The zero product property says that one of the terms needs to be equal to 0:

x = 0

8x³ + 1 = 0

Solve for x in the 2nd equation:

8x³ = -1

x³ = - $\frac{1}{8}$

x = - $\frac{1}{2}$

When x is either 0 or - $\frac{1}{2}$ , the product will be equal to zero.

The roots are 0 and - $\frac{1}{2}$

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You are diving. It’s represented by h(t)= -2.5t + 35. What’s the height of the platform ___________ft? Show steps plz... NEED HE

VashaNatasha [74]

Answer:

welll the answer is 32.5 as used in the expression

Step-by-step explanation:

-2.5 plot it on a line graph then cooridinate the x and y axis to 35 and add the summ up to get 32.5

7 0

2 years ago

Read 2 more answers

Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}

gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

$S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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7 0

2 years ago

In baseball, Shintaro had 4 hits in his last 12 times at bat.

swat32

Answer:

The probability of shintaro is 4/12 simplified which is 1/3

Step-by-step explanation:

It's like saying.. Someone had won 4 races every 12 race

You divide both side of 4/12 till you can't divide anymore

4/12

3/9

2/6

1/3

7 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

2 years ago

Solve the equation. 2x+1/3+x-1/4=13/2

inessss [21]

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property

x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

To learn more on equations: brainly.com/question/10413253

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4 0

1 year ago