Which of the numbers below correctly represents (-1)17?

Answer: 90

Step-by-step explanation:

Step-by-step explanation:

Wyzant

ALGEBRA 2 ALGEBRA QUESTION

Ahnaf A. asked • 09/16/15

If a+1/a = 4, what is the of a4+1/a4 ?

IF a + 1/a = 4 . Then what is the value of a4 + 1/a4 ?

Follow3

Add comment

More

1 Expert Answer

By:

Best

Jon P. answered • 09/16/15

TUTOR 5.0 (170)

Knowledgeable Math, Science, SAT, ACT tutor - Harvard honors grad

ABOUT THIS TUTOR ›

First, notice that (a + 1/a)2 = 42 = 16. But also, (a + 1/a)2 = a2 + 2a(1/a) + 1/a2 = a2 + 2 + 1/a2 = a2 + 1/a2 + 2

So a2 + 1/a2 + 2 = 16, so a2 + 1/a2 = 14.

Now, do that again...

(a2 + 1/a2)2 = 142 = 196, but also (a2 + 1/a2)2 = a4 + 2(a2)(1/a2) + 1/a4 = a4 + 2 + 1/a4 = a4 + 1/a4 + 2

So a4 + 1/a4 + 2 = 196, so a4 + 1/a4 = 194

You can see the pattern... E.g., a8 + 1/a8 = 1942 - 2, etc.

...welcome...

Answer:

3+4?

Step-by-step explanation:

Answer: [tex]3\sqrt{3[/tex]

Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2

lets say b=3 and c=6. plug this into the equation.  (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value

the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form

Answer:

[tex]\frac{{5}}{w^{2}}[/tex]

Step-by-step explanation:

We begin with [tex]\frac{15w^{4}v^{5}}{3w^{6}v^{5}}[/tex].

Firstly, as with simplifying fractions we can simplify the numbers. 15 is divisible by 3, so this becomes [tex]\frac{5w^{4}v^{5}}{w^{6}v^{5}}[/tex].

To simplify indices (aka exponents or powers), we must subtract the power on the denominator from the matching one on the numerator, and then use that number as the power in the numerator. In this case, 4-6 and 5-5, which becomes -2 and 0.

So now we have [tex]\frac{5w^{-2}v^{0}}{1}[/tex].

For a negative power, we switch it into the other half (numerator to denominator) and take away the negative sign, leaving [tex]\frac{5v^{0}}{1w^{2}}[/tex].

We can remove the [tex]v^{0}[/tex] in the numerator as it just multiplies the numerator by one, and remove the 1 in the denominator for the same reason.

This leaves us with [tex]\frac{5}{w^{2}}[/tex].

**This content involves division with indices, which you may wish to revise. Let me know if you have any questions. I'm always happy to help!

Step-by-step explanation:

12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

12x > 18x - 42

42 > 6x

7 > x

so, this is true for all values < 7

so, x is in (-infinity, 7)

both ends but included - therefore the round brackets.

Answer:

A

Step-by-step explanation:

vertex = (-4, -4)

vertex form:

y = a(x-h)^2 + k

__________

y = (x- (-4))^2 + (-4)

y = (x+4)^2 -4

y = (x+4)(x+4) - 4

y = x^2 + 8x + 16 - 4

y = x^2 + 8x  + 12

answer: A

Answer:

(x+8)/(2x+11)

Step-by-step explanation:

g(x)=(x+4)/(2x+3)

g(x+4)=(x+4+4)/(2(x+4)+3) = (x+8)/(2x+8+3) =(x+8)/(2x+11)

Answer:

Two other points: (2, 4) (6, 4)

Step-by-step explanation:

A line with a slope = 0 is a horizontal line [with a y-intercept of (0, b)], given by the linear equation, y = 4.  This means that the y-coordinate will always equal to 4, regardless of its corresponding x-coordinate. Basically, we could choose any x-coordinate to pair with the y-coordinate of 4.

I chose the ordered pairs, (2, 4) and (6, 4).

Attached is a screenshot of the graphed linear equation, y = 4.        

Answer:

D. x=10

Step-by-step explanation:

6 - 4 = 2

5 x 2 = 10

10/5 + 4 = 6

:)

Answer:

y=(2/3x)+2

Step-by-step explanation:

Selected Points: (3,4) & (-3,0)

Slope (m) = (y2-y1) / (x2-x1)

m=(4-0) / [3-(-3)]

m=4/(3+3)

m=4/6

m=2/3

Point Slope Form: y-y1=m(x-x1)

y-4=(2/3)(x-3)

y-4=(2/3x)-2

y=(2/3x)+2

The equation is y=2.50x+20.

==========================================================

Work Shown:

x = Ali's share

4x = Pip's share, because it is four times bigger due to the ratio 4:1

x+4x = 5x = total amount of money = 785

5x = 785

x = 785/5

x = 157 dollars is Ali's share

4x = 4*157 = 628 dollars is Pip's share

Note that 157+628 = 785 to help confirm the answer.

Answer:

Q9. ?=53° (corr angles, u//v)

Q10. ?=58° (alt angles, u//v)

Answer:

Step-by-step explanation:

25% of 94

[tex] = 94 \times \frac{25}{100} [/tex]

[tex] = 94 \times \frac{1}{4} [/tex]

= 23.5 (Ans)

Answer:

25% of 94 is 23.5

Step-by-step explanation:

step 1: Convert the problem to an equation using the percentage formula: P% * X = Y.

step 2: take your percent then turn it into a decimal like 10% is 0.10

step 3: then multiply your decimal by your whole number like 0.10 * 65 to get your answer

plz give brain if this helps and is correct thx <(^w^)>

Answer:

rectangle one:

height = 2

width = 32

rectangle 2 :

height = 4

width = 16

Step-by-step explanation:

If you like squid game, trust me :) lol

Answer:

:The correct answer is :y = 8(x + 2)^2 + -15Step-by-step explanation:I just got the question correct.

howdy!!

the answer is

2 and -15!!

Answer:

Step-by-step explanation:

find a number that can go into 30 and go and then what ever you get multiply it with five and X will be your answer

Answer:

Arithmetic

Step-by-step explanation:

300: 30: 3

100: 10: 1

Answer:

by my calculator I got 2.25

Answer:

76

Step-by-step explanation:

7(4)+6(4+2(2)

28+6(8)

28+48 it gives 76

Answer:

it would be A-28.66

Step-by-step explanation:

just divide the total bill by the number of months.

Answer:

The apple question is b and the bill question is a

Step-by-step explanation:

for the apple question you multiply 1.89 by 2.4 and round to the nearest 10th

for the bill question you divide 85.98 by 3 which gives you 28.66

Answer:

plz tell first what is your answer

Step-by-step explanation:

GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

[tex]\frac{5}{3}[/tex] y = - (x - 5) ← distribute parenthesis

[tex]\frac{5}{3}[/tex] y = - x + 5 ( multiply through by 3 to clear the fraction )

5y = - 3x + 15 ( divide terms by 5 )

y = - [tex]\frac{3}{5}[/tex] x + 3 ← in slope- intercept form

Answer:

[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]

[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]

Step-by-step explanation:

[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]

We need to combine like terms:

[tex]9\sqrt{3}-4\sqrt{3}[/tex]

[tex]=5\sqrt{3}[/tex]

[tex]\sqrt{5}+2\sqrt{5}[/tex]

[tex]=3\sqrt{5}[/tex]

[tex]5\sqrt{3}+3\sqrt{5}[/tex]

__________________

Combine like terms:

[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]

[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]

[tex]=-6\sqrt{2}[/tex]

[tex]-6\sqrt{2}+4\sqrt{7}[/tex]

____________________

Answer:

2. makes

3. had wanted

4. are deciding, get

5. are going

6. ate

7. will be traveling

8. are

9. asked

10. lose

Answer:

2. Wanted

3. Wants

4. Decides and Get

5. Went

6. Ate

7. Are Traveling

8. Are

9. Asks

10. Lost

Step-by-step explanation: What grade are you in??