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4 years ago

Help me please with #4

Mathematics

2 answers:

Likurg_2 [28]4 years ago

4 0

Absolute value that's your answer

s344n2d4d5 [400]4 years ago

3 0

The answer: The absolute value

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X^2 • x^7 simplify and solve

Mama L [17]

Answer:

$x^9$

Step-by-step explanation:

$\huge {x}^{2} . {x}^{7} = {x}^{2 + 7} = {x}^{9} \\$

4 0

3 years ago

Find the zero of each function and state the multiplicity of each zero. Please show all steps.

vodka [1.7K]

Answer:

1. y=(x+3)^3. Zero: x=-3 multiplicity 3.

2. y=(x-2)^2 (x-1). Zeros: x=2 multiplicity 2; x=1 multiplicity 1.

3. y=(2x+3)(x-1)^2. Zeros: x=-3/2 multiplicity 1; x=1 multiplicity 2.

Step-by-step explanation:

1. y=(x+3)^3

$y=0\\ (x+3)^3=0\\ \sqrt[3]{(x+3)^3}=\sqrt[3]{0}\\ x+3=0\\ x+3-3=0-3\\ x=-3$

Zero: x=-3 multiplicity 3.

2. y=(x-2)^2 (x-1)

$y=0\\ (x-2)^2(x-1)=0\\ \left \{ {{(x-2)^2=0} \atop {x-1=0}} \right\\ \left \{ {{\sqrt{(x-2)^2} =\sqrt{0} } \atop {x-1+1=0+1}} \right\\ \left \{ {{x-2=0} \atop {x=1}} \right\\ \left \{ {{x-2+2=0+2} \atop {x=1}} \right\\ \left \{ {{x=2} \atop {x=1}} \right.$

Zeros: x=2 multiplicity 2; x=1 multiplicity 1

3. y=(2x+3)(x-1)^2

$y=0\\ (2x+3)(x-1)^2=0\\ \left \{ {{2x+3=0} \atop {(x-1)^2=0}} \right\\ \left \{ {{2x+3-3=0-3} \atop {\sqrt{(x-1)^2} =\sqrt{0} }} \right\\ \left \{ {{2x=-3} \atop {x-1=0}} \right\\ \left \{ {{\frac{2x}{2} =\frac{-3}{2} } \atop {x-1+1=0+1}} \right\\ \left \{ {{x=-\frac{3}{2} } \atop {x=1}} \right.$

Zeros: x=-3/2 multiplicity 1; x=1 multiplicity 2.

4 0

3 years ago

100 is what percent of 1000

Grace [21]

100/1000 is equal to .10 multiplied by 100 is 10 percent

4 0

3 years ago

the sum of three number number in an artithmetic product is 21. if second number isreduced by 1 and third term is increased by 1

grin007 [14]

The three numbers will be 12, 7, 2 and 3, 7, 11.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Let the three consecutive numbers be a, a + d, and a + 2d

The sum of three numbers which are consecutive terms of an A.P. is 21.

a + a + d + a + 2d = 21

3(a + d) = 21

a = 7 - d

If the second number is reduced by 1 and the third term is increased by 1 we obtain the geometric product.

Then the number will be a, a + d − 1, a + 2d + 1. Then we have

$\rm \dfrac{a + d - 1}{a} = \dfrac{a + 2d + 1}{a + d - 1}$

On simplifying, we have

36 = a (8 + d)

a² - 15a + 36 = 0

On factorizing, the value of a will be

a² - 15a + 36 = 0

a² - 12a - 3a + 36 = 0

(a - 12)(a - 3) = 0

a = 3, 12

If a = 12, then the value of d will be

d = 7 - 12

d = -5

If a = 3, then the value of d will be

d = 7 - 3

d = 4

Then the three numbers will be 12, 7, 2 and 3, 7, 11.

More about the sequence link is given below.

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7 0

2 years ago

Instance variables are often called ____ to help distinguish them from other variables you might use. (3 pts.)

zzz [600]

Instance variables are often called "fields" to help distinguish them from other variables you might use.

<h3>What are Instance variables?</h3>

Instance variables are defined within a class but outside of any method, constructor, or block.

Some key points related to Instance variables are-

When heap space is allocated to an object, a slot is created for every instance variable value.
Whenever an object is created with keyword 'new,' instance variables are created, and they are destroyed whenever the object is destroyed.
Instance variables store values that need to be referenced by multiple methods, constructors, or blocks, as well as vital components of an entity's state which must be available throughout the class.
Before or after use, instance variables could be declared just at class level.
Variables, for example, can be given access modifiers.
Only those methods, constructors, and blocks in the class have access to the instance variables.

To know more about the Instance variables, here

brainly.com/question/13014011

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7 0

2 years ago