Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros in simplest radical form

Answers

Answer 1

Answer: $y= (1)/(2)x^2 - 4 \n \ny=0 \n \n (1)/(2)x^2 - 4 =0\ \ / *2\n \nx^2-8 =0 \n \n(x-√(8))(x+√(8))=0 \n \n x-√(4 \cdot 2)=0 \ \ or \ \ x+√(4 \cdot 2)=0 \n \n x-2√( 2)=0 \ \ or \ \ x+2√( 2)=0 \n \n x=2√( 2) \ \ or \ \ x=-2√( 2)$

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The area of a rectangular pool is (14x^2+21x) square feet. If it is 7x feet long, what is the width, in feet?

Answers

(14x^2+21x) = 7x(2x + 3)

A= L * W

but L = 7x so W = 2x + 3

answer: width is (2x +3) feet

Answer:

you get (2x+3), because 14 divided by 7 = 2 and 21 divided by 7 = 3

Step-by-step explanation:

Solve the inequality
3(3F − 2) > 6F − 4

Answers

3 (3F - 2) > 6F - 4

Expand the left side: 9F - 6 > 6F - 4

Add 6 to each side: 9F > 6F + 2

Subtract 6F from each side: 3F > 2

Divide each side by 3 : F > 2/3 .

How i do this -> Log 5x10^-3/2x10?

Answers

$log(5\cdot10^(-3))/(2\cdot10)}=log\left((5)/(2)\cdot(10^(-3))/(10)\right)=log(2.5\cdot10^(-3-1)})=log(2.5\cdot10^(-4))=(*)\n\nuse\ log(a\cdot b)=loga+logb\ and\ loga^b=b\cdot loga\n\n(*)=log2.5+log10^(-4)=log2.5-4log10=log2.5-4\n\vdots\nlog2.5=log(25)/(10)=log25-log10=log25-1=log5^2-1=2log5-1\n\ntherefore\n\n(*)=2log5-1-4=2log5-5$

Identify a factor of the trinomial x2 + 6x + 8

Answers

(x+4) and (x+2) are factors.

(x+2) and (x+4) are your main factors

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. Howmany of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

X-36+12x=224 due 15 min ago

Answers

Answer:

x = 20

Step-by-step explanation:

Starting equation: x - 36 + 12x = 224

Reorder: 12x + x (as there is no negative sign in front of the x) - 36 = 224

Add common terms: 13x - 36 = 224

Subtract (in this case add) common term to isolate variable: 13x + 36 = 224 + 36

Isolate variable by dividing both sides by 13: 13x = 260

Solve: x = 20