if f(x) = x + 2 and g(x) = 3x +4, then (g °f)(x) = ?

a. 3x + 6

b. 3x + 10

c. 3x^2 + 6x + 4

d. 3x^2 + 10x + 6

Answer:

[tex]0.777=0.\overline{7}[/tex]

Step-by-step explanation:

We are asked to write 77.7% as a decimal.

We know that percent means per hundred.

To write 77.7% as decimal, we will divide 77.7 by 100 as:

[tex]77.7\%=\frac{77.7}{100}[/tex]

Move decimal to left by two digits.

[tex]77.7\%=\frac{77.7}{100}=0.777[/tex]

Let us set 0.777 equal to x as:

[tex]x=0.777[/tex]

We can see that our decimal has three 7 digits after decimal, therefore, 1 digit is repeating after decimal.

Answer:

B

Step-by-step explanation:

because 5.78 can be written as a fraction:-   5 78/100 or 5 39/50

C and D do not equate to 5.78

Answer:

A. [tex]5.78=5.787878[/tex]

Step-by-step explanation:

We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.

Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.

We know that a number with repeating decimals can be written as a fraction, therefore, option A is the correct choice.

The 2

A rectagle has 4 sides. There are 2 lengths and 2 widths.

The would be written like this to start with

P = L + L + W + W

P = 2L + 2W             Using the distributive property 2 can be taken outside the brackets

P = (2L + 2W)

P = 2(L + W)              You have shown how the 4 sides can be written more efficiently.

The answer is D <<< Answer

A circle whose center is located at point (a, b) having a radius of length r has the equation:

(x -a)² + (y -b)² = r²

Therefore, radius = 21

A circle whose center is located at point (-5, -7) having a radius of length r has the equation. Therefore, radius will be 21.

If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We have been given the equation of the circle as

[tex](x+5)^2+(y+7)^2=21^2[/tex]

From comparing the general equation

Here, (h, k) = (-5, -7)

and the radius r = 21.

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Solution

Part A

The general form of the n-th term = a + (n-1)d

Here we are given the 8th term A8 = 28 , common difference (d) = 6

A8 = a + (n - 1) 6

28 = a + (8- 1)6

28 = a + 7*6

28 = a + 42

a = 28 - 42

a = -14

Part B

n-th term  is 760. a = -14 and d = 6.

Plugging in the values in the general form, we get

760 = -14 + (n -1)6

760 = -14 + 6n - 6

760 = -20 + 6n

6n = 760 + 20

6n = 780

Dividing both sides by 6, we get

n = 780/6 = 130

The value of n is 130

The chapter 7 test will have 20-30 questions on it. Novanet!

Answer:

We can conclude that the chapter 7 test will also have 20-30 questions on it.

Step-by-step explanation:

All tests for the first six chapters of a textbook had 20–30 questions.

The chapter 7 test will be given tomorrow.

Hence, based on reasoning, we can say that the chapter 7 test can also have 20-30 questions in it.

The probability is also high as all the 6 previous tests had 20 to 30 questions. Hence, it is very likely that the 7th test will also have same number of questions.

it would be a positive 4 degrees F today

Answer: Jasmine's score is given by

[tex]3(x-12)=3(99-12)=3\times 87=261[/tex]

And Waldo's score = 99

Step-by-step explanation:

Let Waldo's score be x

Let Jasmine's score be 3(x-12)

According to question,

[tex]x+3(x-12)=360\\\\x+3x-36=360\\\\4x-36=360\\\\4x=360+36\\\\4x=396\\\\x=\frac{396}{4}\\\\x=99[/tex]

So,

Jasmine's score is given by

[tex]3(x-12)=3(99-12)=3\times 87=261[/tex]

And Waldo's score = 99

The answer to #1 is the first/tallest blue bar. The way that it compares to a bacteria cell is that they both have the same water percentage.

Proteins make up a larger amount of an animal cell. I know this because the blue bar (representing the animal cell) is taller under the section of proteins than it is under nucleic acids.

I can tell that the chemical composition of bacterial and animal cells have a lot in common. All of the purple and blue bars match up almost perfectly, meaning that their compositions are almost the same.

Hope I helped, and I'd love to get brainliest :)

Answer:

2 7/10 simplified 2 1/10

The number of students in Mr. Boggs’s homeroom

is equal to b. Add the total number of students in

each class and set it equal to 90.

90 = b + 1.5(b + 2) + 15 + (2b – 9)

Use the Distributive Property, and collect like terms.

90 = b + 1.5b + 3 + 15 + 2b – 9

90 = 4.5b + 9

The equation to find out the number of students in Mr. Bogg's homeroom when the total number of students is 90, is 'x = 90', where x represents the number of students in Mr. Bogg's homeroom.

To write an equation to solve this problem, we'll define a variable, let's say x, to represent the number of students in Mr. Bogg's homeroom. If we know that the total number of students is 90, then the equation becomes simple: x equals 90. Thus, the complete equation would be: x = 90.

This equation states that the number of students in Mr. Bogg's homeroom (x) is equal to 90. To solve it, you just need to look at the number on the other side of the equals sign, which in this case is 90. Therefore, according to this equation, Mr. Bogg's homeroom has 90 students.

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Is there more information so i can really help you with it ?

3x^3 + 6x^2 - 24x

= 3x(x^2 + 2x -  8)

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

Answer is

A. 3x(x +4)(x - 2)

0.04

Hope this helps & good luck. :)

point c cause its 0 and yeah have goood luck buddy

First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. I am going to find them by graphing.

x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)

now graph y ≤ 3.  a vertex is at (0, 3)

now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).

                  0 = -2x + 5

                  -5 = -2x

                   [tex]\frac{5}{2} = x[/tex]     So, the vertex is  [tex](\frac{5}{2} , 0)[/tex]

Next, input the coordinates of the vertices into the objective function.

C = -6x + 5y

(0, 0): C = -6(0) + 5(0)

             =    0    +   0

             =          0

(0, 3): C = -6(0) + 5(3)

             =    0    +   15

             =          15

(1, 3): C = -6(1) + 5(3)

             =  -6  +  15

             =       9

[tex](\frac{5}{2} , 0)[/tex]: C = -6(\frac{5}{2}[/tex]) + 5(2)

             =  -15  +  10

             =       -5

The maximum is C = 15 which occurs at vertex (0, 3)

Answer: A

Nitrogen is an essential part of amino acids

Answer:

x = -1

Step-by-step explanation:

We can subtract the right side of the equation to get ...

[tex]\dfrac{3}{4}x+3-2x-\left(-\dfrac{1}{4}+\dfrac{1}{2}x+5\right)=0\\\\x\left(\dfrac{3}{4}-2-\dfrac{1}{2}\right)+\left(3+\dfrac{1}{4}-5\right)=0\quad\text{collect terms}\\\\-\dfrac{7}{4}x-\dfrac{7}{4}=0\quad\text{simplify}\\\\x+1=0\quad\text{multiply by $-\frac{4}{7}$}\\\\x=-1[/tex]

Checking by subsitution, we have ...

... (3/4)(-1) +3 -2(-1) = -1/4 +(1/2)(-1) +5

... -3/4 +3 +2 = -1/4 -1/2 +5

... 4 1/4 = 4 1/4 . . . . . answer checks OK

Answer:x=-1 or D

Step-by-step explanation: hope I can help!

Answer:  The required numbers are 27 and 33.

Step-by-step explanation:  We are given to find two numbers if their ratio is 9:11 and their difference is 6.

Let the two numbers be 9x and 11x.

Then, according to the given information, we have

[tex]11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.[/tex]

Therefore, the numbers are

[tex]9x=9\times3=27,\\\\11x=11\times3=33.[/tex]

Thus, the required numbers are 27 and 33.

To find the two numbers, we set up an equation based on the given conditions and solve for x. The two numbers are found by multiplying x by the ratio values.

To find two numbers with a ratio of 9:11 and a difference of 6, we can set up the following equations:
Let the numbers be 9x and 11x.
According to the given conditions:
11x - 9x = 6
Simplifying the equation, we get:
2x = 6
Dividing both sides of the equation by 2, we find:
x = 3
Therefore, the two numbers are 9(3) = 27 and 11(3) = 33.
So, the two numbers are 27 and 33.

Answer:

6  brochures

Step-by-step explanation:

Each brochures is 23 centimeters wide.

The table is 1.5 meters wide.

To know how many brochures can be placed side by side on the table first you have to calculate how many centimeters there are in 1.5 meters wide.

One meter equals 100 centimeters.

Therefore in 1.5 meters there are:

[tex]1.5*100 = 150[/tex] centimeters.

Now we must calculate in how many parts of 23 cm can be divided 150 cm.

To do this we made the division of 150 between 23

[tex]\frac{150}{23}= 6.522[/tex]

This means that up to 6 brochures of 23 cm can be placed side by side on the table

we are given

[tex]x-y=3[/tex]

Here , we are given

x as the independent variable

so, y is dependent variable

so, we will solve for y

[tex]x-y=3[/tex]

Add both sides by y

[tex]x-y+y=3+y[/tex]

[tex]x=3+y[/tex]

Subtract both sides by 3

[tex]x-3=3+y-3[/tex]

[tex]x-3=y[/tex]

so, our function is

[tex]f(x)=x-3[/tex]................Answer

Answer:

$44.52

Step-by-step explanation:

$8.79+$8.79+$8.79+$8.79=$35.16

$35.16+$1.38=$36.54

$36.54+$3.99+$3.99=$44.52

Or a simpler way to solve it would be

($8.79×4)+$1.38+($3.99×2)

Parentheses> Exponents >Multiplication> Division> Addition> Subtraction

Answer:  Jose spent a total of $44.52.

Step-by-step explanation:  Given that Jose buys 4 pounds of sausage that cost $8.79 per pound, a bottle of mustard that costs $1.38, and two loaves of Cuban bread that cost $3.99 each.

We are to find the total amount of money that Jose spent.

The amount of money spent on sausage is given by

[tex]A_s=4\times8.79=\$35.16,[/tex]

the amount of money spent on the bottle of mustard is

[tex]A_m=1\times1.38=\$1.38[/tex]

and the amount of money that spent on the  loaves of Cuban bread is

[tex]A_c=2\times3.99=\$7.98.[/tex]

Therefore, the total amount of money spent by Jose is given by

[tex]A=A_s+A_m+A_c=35.16+1.38+7.98=\$44.52.[/tex]

Thus, Jose spent a total of $44.52.

I'm thinking Jim ran faster. Sorry if I'm wrong

Hello, I'm Jenny and I'm happy to help you! :)

Lets set up an equation for this problem.

Jim: 200 meters | 30.4 seconds

Mac: 100 meters | 30.4 seconds

We both know that they ran different amount of meters in the same amount of seconds so whoever completed the furthest amount of meters ran the fastest.

Jim: 200, Mac: 100.

Since 200 is higher than 100, Jim ran the furthest amount of meters therefore,

Jim ran the fastest.

We are ecstatic to help you so if you have any more questions or if we answered anything wrong please tell us! We aim to please! :) Thank you <3

-ExperimentsDIYS

Answer:

The total distance around the garden is 96 feet.

Step-by-step explanation:

We are given a rectangular garden which is 30 feet by 6 yards.

In order to solve this problem, first we have get our units right. We decide to work with feet.

1 yard = 3 feet.

Therefore,

6 yard = 18 feet.

Thus, in feet we have a rectangular garden which is 30 feet by 18 feet.

Therefore the total distance around the garden—i.e its perimeter—is:

Answer:

96 is the answer

Step-by-step explanation:

I did it and got it right on my quiz

The answer is 5% tax rate for the item. Work shown below.

Harry pays 5% of the cost as sales tax.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Harry who pays $3.50 sales tax on a $70 item.

Assume that the sales tax rate is x%. Then -

x = (3.5/70) x 100

x = 5%

Therefore, Harry pays 5% of the cost as sales tax.

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Answer:

Well 3/4 of a mile is 0.75 therefore you would multiply. 0.75 x 7

Step-by-step explanation:

3/4 = 0.75

0.75 x 7 = 5.25

Therefore she walks 5 1/4 each week

One (1) foot is equal to twelve (12) inches.

12 inches cubed is 1728.

Divide 15,552 by 1728

The answer is 9 cubic feet.

If you have any further questions feel free to ask.

Hope this helps.

The volume of the box is 9 cubic feet.

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is length × breadth× height

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions. Operators which let do a basic mathematical calculation

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that,

Volume of a box = 15,552 cubic feet

Since one foot is equal to twelve inches.

We are to convert the dimension to cubic feet.

Using the conversion factor

∵ 1 feet = 12 inches

∴ 1 cubic foot = 1728 cubic inches

Divide 15,552 by 1728

⇒ 15,552/1728

⇒ 9

Hence, the volume of the box is 9 cubic feet.

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