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3 years ago

The solution to a system of inequalities is __________.

Mathematics

2 answers:

Yuri [45]3 years ago

7 0

Answer:

Option B is right.

Step-by-step explanation:

Whenever a system of inequalities is given, normally we will get a collection of points that satisfy all the inequalities in the system.

Option A is wrong because a single point cannot be a solution for all inequalities of a system. Normally an interval would be there.

Option B is right.

Option C is wrong since a single point has to satisfy at least one. There cannot be a solution for the full system unless it satisfies all inequalities.

Option D is wrong because satisfying at least one inequality is not sufficient, and satisfying all inequalities is a must.

11111nata11111 [884]3 years ago

4 0

I believe the correct answer from the choices listed above is option B. The solution to a system of inequalities is a collection of points that satisfy all inequalities in the system. It will always be a number of points that will agree with the inequality.

Hope this answers the question. Have a nice day.

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The quotient of 4 and 1/5 will be greater than 4.

bixtya [17]

First, we will need to compute the quotient of 4 and 1/5
When we divide a number by a fraction, we convert the division to multiplication and then flip this fraction.
Therefore, in the given:
4 / (1/5) we will convert the division into multiplication and flip the 1/5 to 5
This will result is the following:
4 / (1/5) = 4*5 = 20

Comparing this quotient to 4, we will find that the quotient is greater than 4

Therefore, the given statement is: True

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tresset_1 [31]

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9. Round 45.2374 to the nearest tenth.

Alexxx [7]

Answer:

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Step-by-step explanation:

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3 years ago

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h

andreyandreev [35.5K]

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

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3 years ago

3.3 by 2.5 + 5.7 by 2.5

den301095 [7]

Answer:

22.5

Step-by-step explanation:

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