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2 years ago

Write (x+7)(x−2) as a sum

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

8 0

Answer:

x^2+5x-14

Step-by-step explanation:

you multiply both equations so that you get:

x^2-2x+7x-14

and then you simplify it to:

x^2+5x-14

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Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

4 0

2 years ago

Read 2 more answers

Select the equation needed to solve the following word problem:

bija089 [108]

Answer:

Correct answer is D.

8 0

3 years ago

Mr.marquez had 123 eggs in a refrigerator in his restaurant.he put 32 more cartons of eggs in the refrigerator each carton conta

Reil [10]

Mr. Marquez has about 720 eggs.

8 0

3 years ago

Prove algebraically that 8.99999... = 9

Jobisdone [24]

You can't, it has been done before but there is a fault in the working because the 2 numbers are different. If you want to see a video of someone attempt it, I believe there is a video on the numberphile channel.

Hope this helps :)

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2 years ago

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Suppose that a researcher wanted to measure the federal government's efforts to make the education of its citizens a priority. T

Vitek1552 [10]

Answer:

Step-by-step explanation:

STRENGTHS

1) Budget is a major pointer to a government's commitment in a particular sector. Money allocated for education versus the %GDP will definitely show if education is a priority for the government or not.

WEAKNESSES

1) The major player, (the citizens) is not the determinant in this measure.

2) Without knowing the actual number or estimate of those who would be captured in this budget it may be impossible to know if education was really the priority of the government. Let's say (X) number of persons will benefit from the education budget, if X is unknown then planning would be on assumptions.

3) Budget alone is not sufficient in determining the commitment of the government in a sector. Laws, policies as well play a huge role and in this research laws,and policies are not part of the determining indices.

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2 years ago