Simplify: x+2/x^2-6x-16 ÷ 1/9x

Answer: 3

Step-by-step explanation: Here we're asked to determine the opposite of the following integer which is -3.

Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer but on the opposite side of 0.

Since -3 is 3 units to the left of 0,

its opposite will be 3 units to the right of 0.

So the opposite of -3 is 3.

I have also shown my work on a number line on the whiteboard.

The opposite of the given integer -3 is 3. Therefore, option D is the correct answer.

The given integer is -3.

Here, -3 is negative integer.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The opposite of -3 is 3. This is because when two numbers have opposite signs, they add up to zero. For example, -3 + 3 = 0.

Therefore, option D is the correct answer.

To learn more about an integers visit:

https://brainly.com/question/15276410.

#SPJ6

Answer:

2

Step-by-step explanation:

To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.

To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:

From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;

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

2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)

so we will solve for x-2 = 0 to get x = 2 which is the excluded value.

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

2(w)+ 2(w+2)=16

2w + 2w +4 =16

4w + 4 =16

4w = 12

w =3

width = 3 meters

Note that (-6)^2 = (-6)(-6)

Multiply across. Remember that when multiplying two negative numbers, the product would be a positive answer

(-6) x (-6) = 36

36 is your answer

~Rise Above the Ordinary, Senpai

Answer:

[tex]\huge \boxed{36}}[/tex]

Step-by-step explanation:

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

[tex]\displaystyle-6^2=6^2[/tex]

Exponent, to find the answer.

[tex]\displaystyle6^2=6*6=36[/tex]

[tex]\displaystyle 36[/tex], which is our answer.

The line y = 5 is a horizontal line. A line perpendicular to a horizontal line is a vertical line. The vertical line that passes through point (-7, -5) has equation x = -7.

Answer: x = -7

4x + 36 = 4(x + 9)

Hope this helps

-AaronWiseIsBae

First you need to subtract 750-600= 150.

Then 150 time .35=52.5.

Lastly 52.5+49.99= 102.49

Answer: The consultant earn $50 each hour.

Explanation:

It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\text{Slope}=\frac{450-400}{5-4}[/tex]

[tex]\text{Slope}=\frac{50}{1}[/tex]

[tex]\text{Slope}=50[/tex]

In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.

ANSWER

The degree of the given polynomial is [tex]5[/tex]

EXPLANATION

The given polynomial is

[tex]p(x)=x^4+2x^3-3x^5+4x-5x^2+6[/tex]

When we write this polynomial in descending order, we get,

[tex]p(x)=-3x^5+x^4+2x^3-5x^2+4x+6[/tex]

The highest degree is 5.

Hence the degree is 5

In order to solve this, first add 7.5 to both sides of the equation.

[tex]2x-7.5+7.5=23.50+7.5[/tex]

[tex]2x=31[/tex]

Divide 2 on both sides of the equation for x.

[tex]\frac{2x}{2}[/tex]=[tex]\frac{31}{2}[/tex]

[tex]x=\frac{31}{2}[/tex] or [tex]15.5[/tex]

[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]

[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]

Translations

y = f (x) + m up m units

y = f (x) - m down m units

y = f (x + m) left m units

y = f (x - m) right m units

Stretches/Shrinks

y = n · f (x) stretch vertically by a factor of n

y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

------------------------------------------------------------------------

The answer is the first option: The graph flips over the x-axis.

The explanation for this exercise is shown below:

1. When you multiply a function by -1 alll the positives values of y now will be negative, and the points negative y-axis.

2. As you can see in the figure attached, if you have a function [tex]f(x)=x^{2}[/tex] and you multiply it by -1, the graph will flip over the x-axis.

the answer is the first one y<0

The range of the function h(x)=-8^x is:

C. y<-1

ANSWER.

The correct answer is Option A

EXPLANATION.

The real number

[tex]\sqrt{35}=5.916079783[/tex]

to 9 decimal places.

You can see that the decimals are not repeating, neither will they terminate.

Therefore the real number [tex]\sqrt{35}[/tex] is irrational because, the decimal does not terminate or repeat

Also note that,

[tex]\sqrt{35}=\sqrt{5} \times \sqrt{7}[/tex] .

That is,

[tex]\sqrt{35}[/tex] is a product of two irrational numbers, which still gives an irrational number.

Answer:

B i think

Step-by-step explanation:

I will use x for days. The equation is y=0.7x+9

0.7 is the growth per day * the days it has been growing.

+9 is the initial height

y is total height.

y=0.7x+9

1/3=2/6

5/6-2/6= 3/6 or 1/2

He has 1/2  pound of more jelly beans than gummy bears.

☺☻♥Hope I helped!☻☺♥

Good Luck!♣

Steven has 1/2 lb. more of jelly beans than gummy bears.

1. The fractions need to have the same denomination (bottom number). The lowest common multiple of 3 and 6, is 6. So multiply 1/3 by 2 in order to get 2/6.

2. Now that the fractions have the same denominator, subtract 2/6 from 5/6 to get 3/6.

3. Simplify the fraction so it's in simplest from. 3/6 is the same as 1/2.

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

The equation of the graphed line is x - y = 0.

The equation of the graphed line in standard form is x - y = 0.

Standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants. In this case, since the slope of the line is 1 and the y-intercept is 0, the equation becomes x - y = 0.

Therefore, the correct answer is x - y = 0.

https://brainly.com/question/32634451

#SPJ2

62,732+469=63,201

63,201+62,732=125,933

your answer is 125,933

h(x) = 3x + 5

h(a) = 27

We can write this as 3a + 5 = 27

Now, we just need to solve for a.

Subtract 5 from both sides

3a = 22

Divide 3 from both sides.

a = 7.33

Now, let's plug 7.33 back into the original equation.

3 * 7.33 + 5 = 27

22 + 5 = 27

27 = 27 √ this is correct

To find 'a' in the equation h(x)=3x+5 when h(a)=27, we substitute h(a) with 27 and solve for 'a'. After some simple algebra, we find that 'a' equals approximately 7.33.

This question is about solving algebraic equations. Here, we are given that h(x)= 3x+5 and h(a) =27. To find the value of 'a', we need to substitute 'h(a)' with 27 in the equation h(x)= 3x+5.

So, 27 = 3a + 5. To isolate 'a', we'll first subtract 5 from both sides of the equation: 27-5 = 3a, which simplifies to 22 = 3a.

Next, we divide both sides of equation by 3 to solve for 'a': 22/3 = a, hence a = 22/3 or approximately 7.33.

https://brainly.com/question/953809

#SPJ3

In the inequality a>b, 'a' will be located to the right of 'b' on a number line. This is because numbers increase as we move to the right on a number line.

If the inequality a>b holds, then the position of a on the number line is to the right of b. This is because on a number line, numbers increase as we move towards the right. Consequently, a larger number will always be to the right of a smaller number.

For instance, if a=5 and b=3, on the number line, the point at 5 (representing a) will be to the right of the point at 3 (representing b). This shows that a is greater than b.

https://brainly.com/question/32029748

#SPJ3

tan(6.5) * 4 = .9 or .88110880134

Answer:

h≈0.5 mi.  (to nearest tenth of a mile)

Step-by-step explanation:

tan6.5=h/4

h=4tan6.5 mi

h≈0.5 mi.  (to nearest tenth of a mile)

2x² - 3x - 8

note that (f - g)(x) = f(x) - g(x) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8

a(5-x) = bx-8

5a - ax = bx - 8

ax + bx = 5a + 8

x(a +b) = 5a + 8

x = (5a + 8) / (a +b)

Answer:

correct

Step-by-step explanation:

Answer:

x= 5 miles

Step-by-step explanation:

Ana is located farther from the cave entrance than Chuyen. She is at -30 feet below the entrance, while Chuyen is at -12 feet, and the absolute value of Ana's depth is greater.

The comparison of depths below the cave entrance for Ana and Chuyen is essentially a basic math problem involving negative numbers. In this case, we are looking at distances relative to a reference point, which is the entrance of the cave.

Ana's location is -30 feet below the cave entrance, while Chuyen's location is -12 feet below the cave entrance. To determine which girl is located farther from the cave entrance, we need to compare the absolute value of these numbers because depths below ground are considered negative.

Because Ana's absolute depth is greater than Chuyen's, Ana is located farther from the cave entrance.

Rental Charge ($) on the left side and, Time (hours) on the bottom.

Answer:

Rental Charge ($) on the left side and, Time (hours) on the bottom.

Step-by-step explanation:

Answer: The answer on edge is B.

13 * (4+40)/2

Step-by-step explanation:

given that

c = 15h + 245

when h = 30.35  , cost c = (15 × 30.35) + 245

= 453.75 + 245 = 698.75

so cost if painter works = 698.75 unit of currency.

To find the total cost for a painter working 30.25 hours using the function rule c= 15h + 245, multiply the hourly rate (15) by the hours worked (30.25) and add the fixed cost (245). The total cost would be $698.75.

To calculate the total cost c a painter charges to paint a house given the function rule c= 15h + 245, where h is the number of hours worked, we need to substitute the value of h with the given number of hours. In this case, the painter works for 30.25 hours. Therefore, the cost calculation would be:

c = 15 × 30.25 + 245

Step 1: Multiply the hourly rate by the total hours worked:

15 × 30.25 = 453.75

Step 2: Add the fixed cost to the result from step 1:

c = 453.75 + 245

Step 3: Combine the values to get the total cost:

c = 698.75

So, if the painter works for 30.25 hours, the total cost to paint the house would be $698.75.