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liberstina [14]

3 years ago

11

Evaluate the expression when n=6 n² – 5n-2

2 answers:

eduard3 years ago

8 0

Answer:

4

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

mylen [45]3 years ago

5 0

Step-by-step explanation:

6^2 - 5×6 - 2

= 36 - 30 -2

= 4

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Factorize x squared - 1x +10 =0

Natalka [10]

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x -1/2)² = −39 /4

Step 5: Take square root.

x −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x =−1/2 + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

6 0

3 years ago

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

3 years ago

Based on the figure, which statement provides enough information to conclude that line ris

GREYUIT [131]

Answer:

m<6 = 90°

Step-by-step explanation:

If lines are perpendicular, the angles form by their intersection measure 90°.

Answer: m<6 = 90°

4 0

2 years ago

Please help im so confused at math pls help

exis [7]

Answer:

where is the question ??

6 0

2 years ago

Evaluate each expression if a = 3 , b = 5 and c=1 b-c

Nezavi [6.7K]

Answer:

4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

a = 3, b = 5, c = 1

b - c

<u>Step 2: Evaluate</u>

Substitute: 5 - 1
Subtract: 4

7 0

2 years ago