The first number of three consecutive even integers equals the sum of the second and third. Find the three numbers.

If x represents the smallest integer, then which of the following equations could be used to solve the problem?

It'd be c) g(x)=(x-4)2+9

Answer : C

The function [tex]f(x)= x^2[/tex] has been translated 9 units up and 4 units to the right to form the function g(x)

For 9 units up, we add 9 at the end of f(x)

f(x) + 9

so equation becomes [tex]f(x)= x^2 + 9[/tex]

For 4 units right , we subtract 4 from x  in f(x)

f(x-4)

So the equation becomes [tex]f(x) = (x-4)^2 + 9[/tex]

Hence [tex]g(x) = (x-4)^2 + 9[/tex]

Remember that dividing by a number is the same as multiplying by its reciprocal. To get a number's reciprocal, flip the numerator and denominator around.

In this case, 3/5's reciprocal is 5/3. With this information in mind, flip 3/5 to it's reciprocal, change the division sign to multiplication, then multiply as such:

[tex]\frac{7}{8} \times \frac{5}{3}=\frac{35}{24}[/tex]

Your final answer is 35/24.

Now firstly, we want to convert these mixed fractions into improper fractions. To convert them, multiply the whole number by the denominator then add the numerator and that's your new numerator. In this case:

[tex]2\frac{1}{10}=\frac{2*10+1}{10}=\frac{21}{10}\\\\1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}\\\\\frac{21}{10}\div \frac{6}{5}[/tex]

Next, we want to convert this expression to multiplication. Similar to before, convert 6/5 to its reciprocal, change the multiplication sign to division, and multiply as such:

[tex]\frac{21}{10}\times \frac{5}{6}=\frac{105}{60}[/tex]

Now you may think that 105/60 is the right answer, however we can simplify it further. The numerator and the denominator have a GCF, or greatest common factor, of 15. With this, divide the fraction by 15/15 as such:

[tex]\frac{105}{60}\div \frac{15}{15}=\frac{7}{4}[/tex]

Your final answer is 7/4.

Answer

Density of Sugar is 1.59 grams per milliliter.

Step-by-step explanation:

The answer is required to be given in grams per milliliter.

So we should first convert the values to match the units.

Sugar is given as 500 grams so we don't need to change the units.

Volume is given in liters. So we need to change it to milliliters.

There are 1000 milliliters in 1 liter.

Therefore,

[tex]0.315[/tex] liters = [tex]0.315*1000[/tex] milliliters

                                  =[tex]315[/tex] milliliters

Density of Sugar       = {Number of grams of Sugar/ Volume of the Solvent]

                                  =500 grams / 315 milliliters

                                  =1.59 grams per milliliter (Answer is given to 2 decimal places)

Final answer:

The density of sugar given the mass of 500 grams and a volume of 0.315 liters is calculated as 1.587 grams per milliliter (g/mL) after converting liters to milliliters.

Explanation:

To calculate the density of sugar in grams per milliliter (g/mL), we utilize the formula density = mass/volume.

Given that we have 500 grams of sugar occupying a volume of 0.315 liters, first, we need to convert the volume from liters to milliliters for consistency in units, knowing that 1 liter equals 1000 milliliters.

Thus, 0.315 liters is equal to 315 milliliters.

Applying the formula, the density = 500 grams / 315 milliliters.

Therefore, the density of the sugar is 1.587 g/mL.

This value indicates the mass of sugar that would occupy a one milliliter volume.

Answer is 4.04 by adding both of the time of each then subtracting then from each others time

Answer:

4.04

Step-by-step explanation:

take the number 14.19 and add that to 13.78, you get 27.97.

Now take 15.77 and add that to 16.24, you get 32.01.

Now take 32.01 and 27.97 and subtract them.

You get 4.04.

And thats your answer

There are two good ways to go about this,

You can either do

Regular Price + .33 * Regular Price

or

Regular Price * 1.33

So, i'll do the latter.

18 * 1.33 = 23.94

So, the markup price is $23.94

Answer:

$23.94

Step-by-step explanation:

Variables are any letter so in the case of your equation the variables would be f and x.

-1 = 3r + 2r

-1 = 5r          Combine like terms

[tex]\frac{-1}{5}[/tex] = [tex]\frac{5r}{5}[/tex]      Divide both sides.

Final answer: -0.2 = r

hope that helps :)

0.99 > 0.1 Because 0.1,0.2,0.3 ect

.1 written is written as .10

.99 is closer to one

That makes .10 less than .99

For this reason, .99 is greater than .10

Another example you could grasp is .5 .17

.5 is written as .50

.50 is closer to one making it closer to 1 and thus .5 is greater than .17

Due to all of the explanations provided above, .99 is greater than .1

(24/3(5)/4(7))(7/6)

=245/3 (Decimal: 81.666667)

245/3

decimal 81.666667

The slope is the change in Y over the change in X

Label each point (x1,y1) and (x2,y2)

Slope = y2 - y1 / x2-x1

Slope = -7 - (-11) / -6 - (-1)

Slope = -7 +11 / -6 +1

Slope = 4 / -5

Move the negative sign in front:

Slope = -4/5

Using the multiplication method, we find that 16 times 60 equals 960.

To find the product of 16 times 60, we can use the method of multiplication. The multiplication method is a straightforward way to find the product of two numbers by multiplying each digit separately and adding the results.

1. Write down the two numbers being multiplied: 16 and 60.

2. Start by multiplying the rightmost digit of the bottom number (60) with the top number (16). In this case, multiply 0 with 16, which equals 0.

3. Write down the result (0) below the line.

4. Now, multiply the next digit of the bottom number (6) with the top number (16). Multiply 6 with 16, which equals 96.

5. Write down the result (96) below the line, shifted one position to the left.

6. Finally, add the two results together: 0 + 96 = 96.

So, the product of 16 times 60 is 960.

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A counterexample for the following would be D, because it is the only positive number, which is opposite of a negative number.

The counter-example is 10. the correct option is D.

Absolute value refers to the removal of any preceding minus sign and the treatment of all numbers as positive (or zero).

Given that If |n| is a positive number, then n is a negative number.

Take all the negative values of n for the function.

|n| = |-10| = 10

|n| = |-4| = 4

|n| = |-1| = 1

|n| = |10| = 10

In the above values, the counter-example is 10 because the value is positive. After putting value in the absolute function the value will remain the same.

Therefore, the counter-example is 10. the correct option is D.

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Maria has completed 60% of her total deliveries this week. This was calculated by creating a ratio of completed deliveries to total deliveries, converting this ratio to a decimal, and then converting the decimal to a percentage.

To find what percentage of deliveries Maria has completed, we start by creating a ratio of completed deliveries (48) to total deliveries (80). This ratio is expressed as a fraction, so we write it as 48/80.

Next, we convert this fraction to a decimal by dividing the numerator (top number) by the denominator (bottom number). So, 48 ÷ 80 = 0.6

To convert the decimal to a percentage, we multiply by 100, so 0.6 x 100 = 60%.

Therefore, Maria has completed 60% of her total deliveries so far.

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To calculate the percentage of total deliveries Maria has completed, divide the number of completed deliveries by the total number of deliveries and multiply by 100. Thus, Maria has completed 60% of her total deliveries.

To find out what percentage of total deliveries Maria has completed, we can use the method of finding a percentage of a whole. Essentially, this involves taking the number of completed deliveries, dividing it by total number of deliveries and then multiplying by 100.

In Maria's case, she's completed 48 deliveries out of a total of 80 deliveries. Therefore:

Percentage = (Number of completed deliveries / Total deliveries) x 100

So the percentage of completed deliveries = (48 / 80) x 100 = 60%

Therefore, Maria has completed 60% of her total deliveries.

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The correct answer is B. 33%

In order to find the percentage of success, you need to take the amount of numbers for success and divide by the total number of options. 0-8 represents 9 different options. 0-2 represents 3 possible successes. Therefore, we divide 3 by 9.

3/9 = 33%

I can help with CL 2-107. All you have to do is simplify the equation on both sides, and then isolate w  to find its value.

6w - 5 + 8w - 2w - 3 = 9w - 24

(-5) + 12w - 3 = 9w - 24

-8 + 12w = 9w - 24

-8 + 3w = -24

3w = -16

w = [tex]\frac{-16}{3}[/tex]

w = -5.33

Hope that helps! Sorry I couldn't help with the other ones!

Look at the pictures.

CL 2-109

The formula of a slope:

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

We have

[tex](-5,\ 7)\to x_1=-5,\ y_1=7\\(10,\ 1)\to x_2=10,\ y_2=1[/tex]

Substitute:

[tex]m=\dfrac{1-7}{10-(-5)}=\dfrac{-6}{10+5}=\dfrac{-6}{15}=-\dfrac{2}{5}[/tex]

conditional (original): if you are a lawyer, then you passed the bar exam

converse: if you passed the bar exam, then you are a lawyer

inverse: if you are not a lawyer, then you did not pass the bar exam

contrapositive: if you did not pass the bar exam, then you are not a lawyer

Answer:

C would be able to verify the equation.

Step-by-step explanation:

In order to tell if any equation is a inverse, you can plug one equation in for x in the other. If the result is y = x, then it is an inverse. C is putting f(x) in for x in the g(x) equation. If you multiply this out, it comes out to y = x

A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

If two functions are inverse of each other, then their composition is equal to the variable, in this case, it is x. Since f(x)=3x, while g(x)=1/3x, therefore, we can write,

g(f(x))

= 1/ 3(3x)

Hence, the correct option is C.

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Answer:

[tex]5a^2+12b^2-40b[/tex]

Step-by-step explanation:

First distribute the -4 to the 2b and -3b. This leaves you with [tex]5a^2-8b+12b(b+4)[/tex]

Now you can distribute the 12b to b and +4. This leaves you with [tex]5a^2-8b+12b^2+48b[/tex]

Now you can combine your like terms leaving you with [tex]5a^2+12b^2-40b[/tex].

280mi: 14h Divide to get it over one

20mi : 1 h multiply by five

100mi:5h

Hope it helps!!

Answer:

Shyam's original investment was $4000.

Step-by-step explanation:

Suppose, Shyam's original investment was  [tex]x[/tex] dollar.

In the first year, his stock increased 20%. So, the value of the stock will be: [tex](x+0.20x)=1.20x[/tex] dollar.

He paid his stock broker $300 and then lost $450. So now, the value of the stock will be:  [tex](1.20x-300-450)=(1.20x-750)[/tex] dollar.

He then withdrew $500, so the value of the remaining investment [tex]=(1.20x-750-500)=(1.20x-1250)[/tex] dollar and this remaining investment doubled now.

So, the value of the investment now [tex]=2(1.20x-1250)[/tex] dollar, which is given as $7100.

Thus, the equation will be.......

[tex]2(1.20x-1250)=7100\\ \\ 2.40x-2500=7100\\ \\ 2.40x=7100+2500=9600\\ \\ x=\frac{9600}{2.40}=4000[/tex]

So, Shyam's original investment was $4000.

Answer:

X = 13 or X = -13

Step-by-step explanation:

Step 1: Add -5 to both sides.

|x| + 5 + − 5 = 18 + − 5

|x| = 13

Step 2: Solve Absolute Value.

|x| = 13

We know either x = 13 or x = -13

Hope this helps :-)

Answer:⇒⇒⇒⇒⇒⇒⇒[tex]x=-13[/tex] or [tex]x=13[/tex]

Step-by-step explanation:

Subtract by 5 from both sides of the equation.

[tex]|x|+5-5=18-5[/tex]

Simplify.

[tex]|x|=13[/tex]

[tex]x=-13 or x=13[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

Answer:

The range is all real numbers or (-∞, ∞)

Step-by-step explanation:

You can  plug in any real value of x into this function to output another real value.

Answer:

The answer is: {y|y>9}

5 x 2/3 = 5.333 repeatedly

Let the consecutive odd numbers be( x) and (x+2).

According to given condition.

(x)+(x+2) =284

solving  x+x+2 =284

2x+ 2 =284

subtracting 2 both sides

2x+ 2-2 =284-2

2x =282

dividing 2 both sides

x=141

as the second integer is (x+2) so

x+2 =141+2= 143

so integers are 141 and 143.

Answer:

2.5*10^3 times greater, or 2500 times greater.

Step-by-step explanation:

Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio).  Note:  108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.

8.5*10^8

--------------- = (8.5 / 3.4)*10^(8-5)    =   2.5*10^3

3.4*10^5

4) 600

Using the equation 450=0.75(x)

you find x and you get 600 since it needs to be 75% of a number to be 450

6) 500

Using the equation 75=0.15(x)

You find  and you get 500

A number is represented by = n.

We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".

Let us break the statement into smaller parts.

"The quantity of four less than the square of this number(n)".

Square of n is = n^2.

4 less than n^2 = n^2 -4.

"This number(n) divided by the quantity five more than four times the number"

4 times the number n = 4×n = 4n.

Five more than four times the number = 4n +5.

Therefore, we can repharse given statement by an easy way as:

" 4 less than n^2 is divided by (4n+5)."

or (n^2 - 4) ÷  (4n+5).

In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]

Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].

The expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number is (n^2 - 4) / (4n + 5)

To write an expression for the quantity of four less than the square of a number divided by the quantity five more than four times the number, we can represent the number as 'n'.

The square of the number is written as n2.

Four less than the square of the number is (n2 - 4).

Five more than four times the number is (4n + 5).

Therefore, the expression for the given quantity is:

(n2 - 4) / (4n + 5)

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