If the opposite of g(x) is –g(x), then –g(x) = ?

Combine based on same variables by adding or subtracting.

Hope that helps :)

(a) With a unit rate of 8, repeated (iterated) 72 times, we can simply multiply 8 by 72 to get the net change: 8 × 72 = 576 fish.

(b) For the unit rate (i.e. rate of change per time - minutes in this case) we can simply divide the total water pumped out by the total time it took to perform this. So: 48 ÷ 8 = 6 gallons/min.

Hope I could help you! :)

8×72= 576 fish

48/8= 6 gallons

Firstly find the common denominator (12) so for 2 to turn into 12 it needs to be multiplied by 6. Because of this, 8 also needs to be multiplied by the same amount so the first fraction would be 48/12.

The second fraction doesn't need to be changed so...

48/12 - 7/12 = 41/12.

The graph for the line y=4/7 x -2 is added in the attachment.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line is,

y=4/7 x -2

Comparing the given equation with the standard equation we get the slope of the line is 4/7 and the intercept is -2.

Plot the (0,-2) value of the y-intercept first. Then, add another point to the sloping plot by moving it up 4, to the right 7, and so forth. The point should be (2,7), and if you need to add another point, draw a line through it at (6,14).

Thus the graphs for the line y=4/7 x -2 are added in the attachment.

Learn more about the straight line here:

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The answer would be 2.4 meters per second. To find this, you would divide the 50 meters by 21 seconds. It equals 2.380952, and rounds to 2.4m/s.

Answer:

2.4 meter per second

Step-by-step explanation:

A swimmer swam the 50-meter freestyle in a time of 21 seconds.

Since a swimmer swam in 21 seconds = 50 meters

To calculate his speed in 1 second we will divide the total distance by the total  time.

Therefore, he swam in 1 second =  [tex]\frac{50}{21}[/tex]

                                                     = 2.380952 rounded to 2.4 meter/sec

The speed of the swimmer is 2.4 meter per second.

I know this is not an answer but, I love your handwriting!

It is soooo much neater than mine!

- Laura <3

Step-by-step explanation:

3.

2*2=4

5*5=25

49=7*7

64=8"8

The change is 24 degrees

The answer should be D, divide by 6.78.

Here are the various saving options:

 A) 30% off - saves 0.30*$384 = $115.20

 B) $100 off - saves $100

 C) 5% off - saves 19.20, plus $75 saves $94.20

 D) 10% off saves $38.40, plus $50 saves $88.40

The coupon that is the best deal is

 A) Save 30% on any TV

_____

For options C and D, the wording suggests the dollars-off come before the percent-off. In that case, the savings is even less than indicated here.

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The difference between the two square roots of a whole number cannot be about 5.3.

The difference between the two square roots of a whole number can be expressed as:

sqrt(x) - sqrt(x) = 5.3

Since the square root of a number multiplied by itself gives the number, we can rewrite the equation as:

x - x = 5.3

This simplifies to:

0 = 5.3

However, this is not possible, as it would mean that 0 is equal to a non-zero value. Therefore, there is no whole number that satisfies the given condition.

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Answer: Number of white socks Fran has =18

Number of white socks Mia has = 9

Step-by-step explanation:

Since we have given that

Fran buys socks in such a way that it contains nine pairs of white socks for every three pairs of blue socks i.e.

Ratio becomes

[tex]9:3=3:1[/tex]

Similarly,

Mia buys socks and packages in such a way that it contains two blue pairs for every one white pair

So, ratio becomes

[tex]2:1[/tex]

Now, from the case of Fran, we have given that she has 6 pairs of blue socks .

So, we get that

[tex]\frac{1}{4}\times x=6\\=x=24\\\\\text{So, number of white socks becomes }=\frac{3}{4}\times 24=\frac{72}{4}=18[/tex]

Similarly,

From the case of Mia , we have given that she has 6 pairs of blue socks .

we get that

[tex]\frac{2}{3}\times y=6\\y=9\\\\\text{So, number of white socks Mia has }=\frac{1}[3}\times 9=3[/tex]

So, Number of white socks Fran has =18

Number of white socks Mia has = 9

Final answer:

Fran would have bought 18 white pairs of socks and Mia would have bought 12 white pairs, given their purchase of 6 pairs of blue socks and based on their respective ratios of white to blue socks in a package.

Explanation:

To answer the student's question, we must understand the concept of ratios. Fran buys socks in a package with a ratio of 9 white pairs to 3 blue pairs. Mia buys socks in a package with a ratio of 2 blue pairs to 4 white pairs. If each girl bought six pairs of blue socks, we'll calculate how many white socks they would have bought by setting up a proportion corresponding to each of their packages' ratios.

For Fran: The ratio 9:3 simplifies to 3:1 (since for every three pairs of white socks, there is one pair of blue socks). So for every blue sock pair, there are three white. Therefore, if Fran buys 6 blue pairs, she would buy 6 * 3 = 18 white pairs.

For Mia: The ratio 2:4 simplifies to 1:2. So for every two pairs of white socks, there is one pair of blue socks. Therefore, if Mia buys 6 blue pairs, she would buy 6 / 1 * 2 = 12 white pairs.

In order to find the simplest form of a fraction, we have to divide the numerator and the denominator by the same number.

[tex]\frac{24}{32}[/tex] is a fraction. Here, 24 is the numerator and 32 is the denominator.

24 and 32 both are multiples of 8. Therefore, we can divide both by 8

24 divided by 8 = 3

32 divided by 8 = 4

Therefore, the given fraction in the simplest form is [tex]\frac{3}{4}[/tex]

Answer:  The correct option is

(C) x = 38  and  y = 104.

Step-by-step explanation:  We are given to find the values of the variables x and y from the figure.

We know that

if two angles make a linear pair, then the sum of their measures is 180°.

From the figure, we note that

the angles with measures y° and 76° makes a linear pair, so we have

[tex]y^\circ+76^\circ=180^\circ\\\\\Rightarrow y+76=180\\\\\Rightarrow y=180-76\\\\\Rightarrow y=104.[/tex]

Also, the angles with measures 2x° and y° makes a linear pair, so we have

[tex]2x^\circ+y^\circ=180^\circ\\\\\Rightarrow 2x+y=180\\\\\Rightarrow 2x=180-104\\\\\Rightarrow 2x=76\\\\\Rightarrow x=\dfrac{76}{2}\\\\\Rightarrow x=38.[/tex]

Thus, the required values the variables are x = 38 and y = 104.

Option (C) is CORRECT.

Given expression in exponential form : [tex]a^{\frac{4}{9} }[/tex].

We need to convert it into radical form.

Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.

We can apply following rule:

[tex](a)^{\frac{m}{n}}= \sqrt[n]{x^m}[/tex].

Therefore,

[tex]a^{\frac{4}{9} }= \sqrt[9]{a^4}[/tex].

Therefore, correct option is : D. ninth root of a to the fourth power.

Answer:

2.077 x 10^-4

Step-by-step explanation:

Move decimal point over 4 spaces

The scientific notation for the given number is 20.77 × 10⁻⁵

A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10 is called the scientific notation.

Given that, express the number 0.0002077 in scientific notation.

0.0002077 = 20.77 / 100000

= 20.77 × 10⁻⁵

Hence, the scientific notation for the given number is  20.77 × 10⁻⁵

Learn more about scientific notation, click;

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If you want each side it will equal to 18 in. 18*4=72

Note the equal sign. What you do to one side, you do to the other.

Also, remember to do the opposite of PEMDAS.

First, subtract 6 from both sides

-2x + 6 (-6) = -20 (-6)

-2x = -26

Next, isolate the x. Divide -2 from both sides

(-2x)/-2 = (-26)/-2

x = -26/-2

x = 13

13, or (B) is your answer

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~Rise Above the Ordinary, Senpai

-2x + 6 = -20

= -2(13) + 6 = -20

So, since the roots are -6, -2, 1, and 3, The graph MUST cross the X axis at these points.

The Top left graph is not correct, there is no root at 3

The top right graph is not correct ,no root at -6, or -2

The bottom Right Graph is incorrect, no root at 3 or 1

The Bottom Left graph is correct, since all roots are shown.

Answer:

bottom left

Step-by-step explanation:

11/8 = x / 3

cross multiply

8x = 11 * 3

8x = 33

x =33/8

x  = 4.125

x = 4.1 (round to nearest tenth)

Answer

B: 4.1 ft

Answer: 30 feet per second

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x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

So the equation y = k/x turns into y = 3/x

Now plug in the diameter x = 0.1 to find the speed to be...

y = 3/x

y = 3/0.1

y = 30 feet per second

[tex]7(x+2)=7x-10\\\\7x+14=7x-10\\\\14=-10\\\\x\in\emptyset[/tex]

We are given expression

[tex]\frac{-8}{5n}[/tex]

we know that

this is rational expression

And any rational expression is undefined when it's denominator =0

so, for finding non-permissible values of n , we set denominator =0

and then we can solve for n

denominator is 5n

[tex]5n=0[/tex]

Divide both sides by 5

[tex]\frac{5n}{5} =\frac{0}{5}[/tex]

so, we get

[tex]n=0[/tex]

So, the non-permissible replacement for n in this expression is 0.........Answer

The correct answer is

[tex]n=0[/tex]

[tex] EXPLANATION [/tex]

This is testing your knowledge on domain of rational functions.

To avoid division by zero, the denominator of the rational function

[tex]\frac{-8}{5n}[/tex]

should not be equal to zero.

Therefore the non permissible number can be found by equating the whole denominator to zero. That is,

[tex]5n=0[/tex]

We can now solve for n, to obtain,

[tex]n=\frac{0}{5}=0[/tex]

Hence that number is

[tex]n=0[/tex]

The answer will be 1/4

Answer:

-1/12

Step-by-step explanation:

you jus gotta substract and jawnt uerme! i know you got dis wrong, dont bluff cutie...

Answer:

-1/12 Is the right answer for this.

Step-by-step explanation:

All real number are solutions because this is distributive property to there can be infinitely many solutions.

2x+4=2(x+2)

2x+4=2x+4

-2x   -2x

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4=4 (Which equals to 0=0)

The equation has infinietely many solutions.

Answer:

Step-by-step explanation:

The answer would me -975 :)

Answer: angle 1

Step-by-step explanation: