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DiKsa [7]
2 years ago
14

Express the product of 3x^2-x+7 and x+5 in standard form.

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0

Answer:

  3x^3 +14x^2 +2x +35

Step-by-step explanation:

The distributive property is used to find the product of polynomials. Terms can be collected to express the result with terms in order of decreasing degree.

__

  (3x^2 -x +7)(x +5)

  = x(3x^2 -x +7) +5(3x^2 -x +7) . . . . apply the distributive property

  = (3x^3 -x^2 +7x) +(15x^2 -5x +35) . . . . show the products

  = 3x^3 +(-1 +15)x^2 +(7 -5)x +35 . . . . . collect like terms

  = 3x^3 +14x^2 +2x +35 . . . . . . . . write in standard form

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Complete the sentences to describe the different levels of organization in living things.
alexandr1967 [171]

Answer:

A system is a group of organs that work together to perform a common function.

An organ is a group of tissues that work together to perform a common function.

An organism is a group of organ systems that work together to perform a common function.

A cell is a basic unit of structure and function of all living things.

A tissue is a group of cells that work together to perform a common function.

Step-by-step explanation:

The different levels of organization in living things are defined below from smallest to largest:

Cell is the smallest unit of life. It is the basic structural, functional, and biological unit for all living things.

Tissue is a group of cells working together to accomplish a special function. Examples of tissue are connective tissue, muscle tissue.

Organ is a group of tissues working together to perform a specific function. Examples of organs are heart, liver etc.

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7 0
3 years ago
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Need help with a,b,c! D: helpzzz
nlexa [21]
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3 years ago
If a man goes to a cafe he wants to buy a wrap with the price of 8.80 dollars he gives the cafe lady 10 dollars how much change
Tomtit [17]
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2 years ago
Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

\int\limits^y_0 {kx^{2} } \, =1

where y=23

Clearing k=0.00025

a) Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5

b)Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2}  =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6

c) The function is equal to:

f(x)=k(1+2x)

\int\limits^y_0 {k(1+2x)} \, =1

where y=20

k=0.0024

Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3

d) Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2}   =198.4-176.89=21.51

8 0
4 years ago
What is the surface area of a cube with a side length of 8 mm
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S=6a²
a=8mm
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