Simplify 6^7/6^5 in index form

Work Shown:

[tex](f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\[/tex]

We must require that [tex]x \ne -12[/tex] and [tex]x \ne 3[/tex] to avoid having 0 in the denominator. This is why choice D is the answer.

Answer:

x = 16, y = 140

Step-by-step explanation:

(8x + 12)° and (3x - 8) are adjacent angles and are supplementary, sum to 180°

8x + 12 + 3x - 8 = 180

11x + 4 = 180 ( subtract 4 from both sides )

11x = 176 ( divide both sides by 11 )

x = 16

Then

8x + 12 = 8(16) + 12 = 128 + 12 = 140

(8x + 12) and y are alternate angles and are congruent , so

y = 140

Answer:

What is the question?

Step-by-step explanation:

Answer:

(-3, -4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = x - 1

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

We know that the function IxI is such that:

IxI = x if x ≥ 0

IxI = -x if x < 0.

In this case, we have:

A = I3x - 6I + 2

If we do the same as above, we can write:

A = (3x - 6) + 2       if (3x - 6) ≥ 0

Let's look at the condition in the right, let's isolate the variable:

(3x - 6) ≥ 0

3x ≥ 6

x ≥ 6/3 = 2

Then the condition:

(3x - 6) ≥ 0

is equivalent to:

x ≥  2

Then we can write:

A = (3x - 6) + 2      if  x ≥ 2

If we simplify it further, we get:

A = 3x - 6 + 2        if  x ≥ 2

A = 3x - 4               if  x ≥ 2

This is what we wanted to prove.    

Answer:

The formula for the nth term of the sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Step-by-step explanation:

Given the sequence

6, -6, 6, -6

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Computing the ratios of all the terms of the adjacent terms

[tex]\frac{-6}{6}=-1,\:\quad \frac{6}{-6}=-1,\:\quad \frac{-6}{6}=-1[/tex]

The ratio of all the adjacent terms is the same and equal

so

r = -1

so substituting r = -1 and [tex]a_1=6[/tex] in the geometric sequence

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=6\left(-1\right)^{n-1}[/tex]

Thus, the formula for the nth term of the sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Answer:

15

Step-by-step explanation:

5√2/2 is the value of x in the triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The hypotanenuse is 5 cm

The angle opposite to right angle is 45 degrees.

As it is a right angle one angle is 90 degrees.

This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.

In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1.

So 5/√2.

Multiply numerator and denominator by √2

We get 5√2/2

Hence, 5√2/2 is the value of x in the triangle.

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Answer:

8 bulbs

Step-by-step explanation:

In the model, each + represents a dollar

4 +s for the shipping cost, 20 +s for the total cost.

Therefore we have 2x (since each bulb is $2) + 4 = 20

2x = 16

x = 8

Step-by-step explanation:

x is the number of bulbs.

We have $2x + $4 = $20.

=> $2x = $16, x = 8.

Hence Sheila can order 8 flower bulbs.

Answer:

-4x - 20x

Step-by-step explanation:

Multiply 2 by -10

Answer:

if you turn it sideways it looks like an acute so i think it will be 60* or 61* i am not sure  

Step-by-step explanation:

Answer:

58?

Step-by-step explanation:

Answer:

2x+6

Step-by-step explanation:

(-x+4)+(3x+2) remove ()

-1x+4+3x+2 combine like terms

2x+6

Answer:

haircut =9 and hair color= 3

Step-by-step explanation:

Step one:

GIven data

let the haircut be x

and hair color be y in numbers.

so

18x+42y=288------------1

x+y=12---------------------2

from 1

x=12-y, put this in 2, we have

18(12-y)+42y=288

216-18y+42y=288

collect like terms

24y=288-216

24y=72

divide both sides by 24

y=72/24

y=3

put y= 3 in 2

x+3= 12

x= 12-3

x=9

Answer:

maybe 900 arcade games..good luck

Answer:

Survival of the Fittest

Answer:

22.7604763 degrees

Step-by-step explanation:

Note that the answer is NOT 20 degrees.

She adjusted the ramp to half the original incline

Therefore we have tan 40 = x = 0.839099631.

We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815

Taking the arctan of both sides, we get

y = arctan(0.419549815) = 22.7604763 degrees

Answer:

Sorry that this was incorrect, I didn't mean to post something wrong, but I can't delete an answer either, so this is the least that I could do. Sorry.

Step-by-step explanation:

Answer:

Please check explanations for answer

Step-by-step explanation:

To answer this, we need to understand something

Firstly is that we have dotted lines of the inequality line does not have an equal

to

And also, the solution is directly related to the inequality sign. If it states greater than, solution will be greater than (above the line). If it states less than, solution will be less than (below the line)

So let us take the inequalities one after the other from left to right

1. solid line and below the line

2. dotted lines and above the line

3. solid line and above the line

Answer:

[tex]\huge\boxed{\sf 360 \ degrees}[/tex]

Step-by-step explanation:

A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.

Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

The amount of carpet needed to make the hole is 44 ft²

Area is the amount of space that a two dimensional object or figure occupies.

The area of the big rectangle = length * width = 12 * 4 = 48 ft²

Area of hole = length * width = 2 * 2 = 4 ft²

Amount of carpet required = 48 ft² - 4 ft² = 44 ft²

The amount of carpet needed to make the hole is 44 ft²

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Answer:

y = 94

x = 86

Step-by-step explanation:

brainliest plz

Answer:

Assuming you mean width not breadth (What is that)

The width would be: 35m

Step-by-step explanation:

Now its pretty staight forward

We know that the length is 42m

And the permineter is 154m

We know that the perimeter is the 2 widths and 2 lengths all added up to each other (basically very side added up)

An eaution could be used like, 2w+2l=154

We know length is 42 so

2w+2*42=154

Now just solve for W

2*42=84

2w+84=154

154-84= 70

70=2w

70/2=35

w=35

Answer:

The ratios in the simplest form is 5:3

Step-by-step explanation:

Given that:

2.5m to 150cm

We have to express these ratios in simplest form but we will convert the quantities into same unit first.

Therefore,

Converting meters into centimeters

1 meter = 100 cm

2.5 m = 100*2.5 = 250 cm

Ratio form;

250 cm : 150 cm

As both the number are multiples of 50,

[tex]\frac{250}{50}:\frac{150}{50}\\5:3[/tex]

Hence,

The ratios in the simplest form is 5:3

Answer:

41°

Step-by-step explanation:

Using cosine rule : since the 3 sides are given

p = 6 ; q = 4 ; r = 5

q² = p² + r² - 2prCosQ

2prCosQ = p² + r² - q²

COS Q = (p² + r² - q²) / 2pr

Cos Q = (6² + 5² - 4²) / 2*6*5

Cos Q = 45 / 60

Cos Q = 0.75

Q = Cos^-1 (0.75)

Q = 41.409622

Q = 41° ( nearest degree)

Answer:

Step-by-step explanation:

b 41 degrees

Answer:

-3/4

Step-by-step explanation:

2 1/2 = 5/2 = 10/4

1 3/4 = 7/4

when you subtract, you add and change the sign of the second term (add the opposite)

-10/4 + 7/4 = -3/4

Answer:

bsuxnd6djsj hsujehe I am going to have 3gysuue yusbe I will get the 2ybhsie usibeh I will h eyeh and the kids g. b73 yv 6e7ueh hehe gud b y I b 6hhe I am going to have to get a few things that are not on the schedule for me and I 2.

Answer:

3.33 meters per second

Step-by-step explanation:

1 1/2 laps = 200+100 = 300

use formula: distance = rate x time

t = time (in meter per second)

300 = 90t

t = 300/90 which reduces to 3.33/1

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

Answer:

Minimum

Step-by-step explanation:

Answer:

Minimum

Step-by-step explanation:

Minimum means the least or smallest amount or quantity possible, attainable, or required.