Writing and graphing linear equations

Answer:

[tex](5m - \frac{1}{5})^{3}[/tex]

Step-by-step explanation:

We have to write the following expression as a power of a binomial.

The expression is [tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex].

Now, we have to rearrange the given expression.

[tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex]

= [tex](5m)^{3} - 3(5m)^{2}(\frac{1}{5}) + 3(5m)(\frac{1}{5})^{2} - (\frac{1}{5})^{3}[/tex]

= [tex](5m - \frac{1}{5})^{3}[/tex] (Answer)

Since we know the identity as (a - b)³  = a³ - 3a²b + 3ab² - b³.

Answer:

80%

Step-by-step explanation:

84/105=0.8

0.8=80%

Answer:

The answer is 80 percent

To convert the decimal 0.63 to a fraction, write it as 63/100, and simplify if possible. Since 63 and 100 do not have a common divisor larger than 1, the fraction is already in its simplest form, which is 63/100.

The question involves converting a decimal to a fraction in simplest form. To convert the decimal 0.63 into a fraction, you can write it as 63/100 because there are two digits after the decimal point, which equates to the hundredth place. To simplify the fraction, you look for the greatest common divisor (GCD) of both the numerator and the denominator. In this case, both 63 and 100 can be divided by the GCD which is 1. Thus, the fraction is already in its simplest form and the answer is 63/100.

The decimal 0.63 written as a fraction in simplest form is 63/100, which cannot be reduced further since 63 and 100 share no common factors other than 1.

The numerator and denominator of the fraction in simplest form that is equal to the decimal 0.63 can be found by moving the decimal point two places to the right. This gives us the fraction 63/100 which can be simplified to 9/15 by dividing both the numerator and denominator by the greatest common factor, which is 9. To convert the decimal 0.63 into a fraction in simplest form, you can start by writing it as ⅓ over 100, since the last digit is in the hundredths place. This gives you the fraction 63/100. However, the question asks for the simplest form, so you should reduce the fraction by finding the greatest common factor of the numerator and denominator.

The greatest common factor of 63 and 100 is 1, so 63/100 cannot be reduced any further - it is already in its simplest form. Thus, the answer is simply ⅓ over 100 or 63/100.

Answer:

A. 1/4

Step-by-step explanation:

The attached picture is the complete question:

As you can see in the picture, the guage is divided into 4. The indicator is pointed at the at the first notch, from the empty area. This means that when it was full, it was at 4/4, as it goes towards empty, the notches decrease by 1/4. It is now on the 1st notch, that means that it is filled 1/4 or there is 1/4 left.

Option A

The equation of line is [tex]y = \frac{-3}{4}x - 3[/tex]

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

[tex]slope = \frac{-3}{4}[/tex]

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and [tex]m = \frac{-3}{4}[/tex] in eqn 1

[tex]-6 = \frac{-3}{4} \times 4 + c\\\\-6 = -3 + c\\\\c = -6 + 3\\\\c = -3[/tex]

The required equation of line is given as:

[tex]\text{ Substitute } m = \frac{-3}{4} \text{ and } c = -3 \text{ in eqn 1 }[/tex]

[tex]y = \frac{-3}{4}x - 3[/tex]

Thus the equation of line is found

Answer:

the answer is A

Step-by-step explanation:

Hope this helps!

Answer:

It is an Algebraic Expression

Explanation:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Answer:

63.69

Step-by-step explanation:

Answer:

9x+5=7

9x=2

x=2/9

Answer:

(x+5) (x+7)

Step-by-step explanation:

Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

Answer:

b

Step-by-step explanation:

Answer:

the derivative of given function is

[tex]cos(cos^2 x )(-sin 2 x)[/tex]

Step-by-step explanation:

Step :-

using chain rule formula [tex]\frac{d y}{d x} = \frac{d y}{d u} X\frac{d u}{d x}[/tex]

let [tex]Y = sin(cos^2 x)[/tex]  ...........(1)

[tex]\frac{d(sin x)}{d x} = cos x[/tex]

Differentiating equation (1) with respective to x,we get

[tex]\frac{d y}{d x} = cos(cos^2 x) \frac{d}{d x} (cos^2 x)[/tex]........(2)

we will use again formula

[tex]\frac{d(cos x)}{d x} = -sin x[/tex]

[tex]\frac{d (x^{2} )}{d x} =2 x[/tex]

From (2) equation we will get solution is

[tex]\frac{d y}{d x} = cos (cos^2 x) (2 cos x (\frac{d(cos x)}{dx} )[/tex]  ........(3)

again simplification the equation (3) we will get

[tex]\frac{d y}{d x} = cos(cos^2 x)(2 cos x(-sin x))[/tex] ........(4)

by using trigonometry formula

[tex]2 sin x cos x = sin2x[/tex]

now the equation (4) we get final solution is

[tex]\frac{d y}{d x} = cos(cos^2 x)(- sin2x)[/tex]

Answer:

5x

Step-by-step explanation:

Because the inequality sign means it greater and if it turned around than it means it less than and the = sign means it equal to

If x is positive, 5x is greater than 4x and if x is negative, 5x is less than 4x.

To determine whether 5x is greater than 4x, we need to consider the value of "x." The comparison between 5x and 4x depends on the value of "x."

If x is a positive number, then 5x will be greater than 4x because 5 is larger than 4, and multiplying by a positive number increases the value.

For example:

If x = 1, then  5x = 5, and 4x = 4. Since 5 is greater than 4, 5x is greater than 4x.

If x is a negative number, then 5x will be less than 4x because multiplying by a negative number changes the inequality sign.

For example:

If x = -1, then 5x = -5, and 4x = -4. Since -5 is less than -4, 5x is less than 4x.

Thus, it can be concluded that

If x is positive, 5x is greater than 4x. If x is negative, 5x is less than 4x.

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Inequality that represents the graph

[tex]y>\:-\frac{3}{2}x-2[/tex]

Option A

Explanation :

Given the graph of a linear inequality

Lets frame the linear equation of the dotted line first

Slope intercept form of linear equation is y=mx+b

where m is the slope and b is the y intercept

In the graph y intercept is -2. So value of b=-2

Now find out slope m using any two point on the dotted line

Lets pick (0,-2) and (-2,1)

slope formula

[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

Substitute the values of two points and find out slope

[tex]slope =\frac{y_2-y_2}{x_2-x_1}=\frac{1+2}{-2-0}=-\frac{3}{2}[/tex]

Now replace the values in equation  y=mx+b

[tex]y=-\frac{3}{2} x-2[/tex]

In the graph we have dotted line so we use < or >

Lets use test point (0,0) origin.

x=0  and y=0

[tex]y=-\frac{3}{2} x-2\\0=-\frac{3}{2} (0)-2\\0=-2\\0>-2\\[/tex]

So the inequality becomes

[tex]y>-\frac{3}{2} x-2[/tex]

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[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{11}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}}\implies \cfrac{-2}{5}[/tex]

Answer:

it should be -2/5 if you're looking for the slope

Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

Answer:

7xp=c

Step-by-step explanation:

since you have to multiply p by 7. to get the answer is c. Take for example

7 x 3 =21

p=3

c=21

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)

Step-by-step explanation:

We have to convert the given statement in mathematical or algebraic form to get the value of x for which the given condition is true.

So,

The problem can be written as:

[tex]4(5x-8) = 2(4-x)+4[/tex]

Applying distributive property

[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x\\[/tex]

Adding 32 on both sides

[tex]20x-32+32 = 12-2x+32\\20x = 44-2x[/tex]

Adding 2x on both sides

[tex]20x+2x = 44-2x+2x\\22x=44[/tex]

Dividing both sides by 22

[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]

Hence,

For x=2, the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)

Keywords: Linear equation, variables

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Answer:

The answer is D

Step-by-step explanation:

Answer:

THE ANSWER D ON USATESTPREP

Answer:

351.7227778°

Step-by-step explanation:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

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Answer:

-1.83 (repeating decimal)

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

5x-7=-10x+8

5x=−10x+8+7

5x=−10x+15

5x+10x=15

15x=15

Answer: x=1

Answer:

x = 1

Step-by-step explanation:

Put the like terms to same side of equation

5x -7 = -10x +8 ➡ 5x + 10x = 8 + 7

15x = 15

x = 1

Answer:

-1y+6

Step-by-step explanation:

Here’s why:

Combine like terms. -8y and 7y added together becomes -1y giving the first term.

The second term is from subtracting 12 and 6.

Hope this helps!

Answer:

-y + 6

Step-by-step explanation:

7y + 12 - 6 + (- 8y) =

7y + 12 - 6 - 8y =

7y - 8y = -y

12 - 6 = 6

- y + 6

Answer:

21/100

Step-by-step explanation:

Answer:

a= 2s-b-c

Step-by-step explanation:

s=a+b+c/2

1) Multiply everything by 2, to get rid of the /2.

2s=a+b+c

2s-b=a+c

2s-b-c=a

Answer:

Its D TRUST ME IT IS

Step-by-step explanation:

He messed up but i got it right