MATHEMATICS HIGH SCHOOL

I think of a number, multiply it by 3, add 4 and square the answer

Answers

Answer 1

Answer:

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

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What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

9 less than g to the fourth power

Answers

9 less than g to the fourth power is

$g^(4) -9$

Faye owned 1,300 shares of Wonderband Corp. Last week, a 2-for-1 split was executed. The pre-split price per share was w dollars. a. Determine the number of shares Faye owned after the split. b. Write an algebraic expression for the price per share after the split. c. Express the total value of the Wonderband stock Faye owned algebraically after the split.

Answers

Answer:

A = 1/2 1300 = 2600

Step-by-step explanation:

B 1/2 w = 1/2w

c = 1300w before 2600 1/2w = 1300 after

Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements? A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4

Answers

The graph that represents the number of weekdays and weekends that Elvia can shadow to meet her requirements is A. Picture 1

How to graph the requirements ?

To graph this inequality, we would typically draw the line representing the equation 2x + 6y = 48 and then shade the region that satisfies the inequality $2x + 6y \geq 48$ .

Since Elvia is required to complete "at least" 48 hours, the line on the graph will be solid, not dotted, to indicate that the hours represented by the line are included in the solutions that meet the requirements.

The point the graph would cross the x - axis is:

2 x + 6 ( 0 ) ≥ 48

x = 48 / 2

x = 24

The point the graph would cross the y - axis is:

2 ( 0 ) + 6 y ≥ 48

y = 48 / 6

y = 8

The correct graph is therefore Picture 1 which has the line as solid and the intercepts as x = 24 and y = 8 .

Find out more on graphs at brainly.com/question/33161009

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The Answer is A.)

A picture of my answer

Decompose -6x/(x+4)(x-4) into partial fractions

Answers

Hello,

Integration fractions?

-6x/((x+4)(x-4))=A/(x+4)+B/(x-4)=((A+B)x-4A+4B)/((x+4)(x-4))
==> A+B=-6 and -4A+4B=0
==>A=B=-3

Answer -3/(x+4)-3/(x-4)

the length of a rectangular yard is 30 meters. the perimeter is at most 90 meters. describe the width of the yard