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If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

Answer:

Answer:

2250

Step-by-step explanation:

The actual areas is 1125 in²

A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.    

scale of the drawing = original dimensions / dimensions of the scale drawing

The scale used by Joseph = 2 cm : 5 inches

This can be simplified further by dividing by 2

1 cm : 2.5 inches

Based on the image, the dimensions of the grill are 10 cm x 18cm

The length of the actual grill = 18 x 2.5 = 45 inches

The width of the actual grill = 10 x 2.5 = 25 inches

Area of a rectangle = length x width

Area of the actual space for the grill = 25 x 45 = 1125 in²

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

Answer:

first one is rough endoplasmic reticulum and the second is cell membrane

Answer:

The answer is 3: -1: 19

Step-by-step explanation:

I. f(x) is output x is input so

       If x = 0

       f(0) = 3 - 8(0)

       f(0) = 3

       If x = 1/2

        f(1/2) = 3 - 8(1/2)

                 = 3 - 4

        f(1/2) = -1

         If x = -2

         f(-2) = 3 - 8(-2)

                 = 3 - (-16)

                 = 3 + 16

          f(-2) = 19

Hope that help :D

Answer:

1/5

Step-by-step explanation:

the prob that you will pick a blue marble would be 12/16, easy.

then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.

the answer is 1/5

hope that solve your problem for whoever gets this question

Hi ;-)

[tex]-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}[/tex]

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

Answer:

x=-10

Step-by-step explanation:

15x+8=-2+14x

15x-14x=-2-8

x=-10

Answer:

11/8 or 1 3/8 or 1.375

Step-by-step explanation:

From the information given by the question, we can form an equation:

Let us call the number 'n'

8 × n - 7 = 4

We then move the 7 to the other side, changing it from minus to plus:

8 × n = 4 + 7

So,

8 × n = 11

We divide both sides by 8, to leave n on one side of the equation.

n = 11/8

Therefore, n = 11/8 or 1 3/8 or 1.375

Answer:

Answer:

4)Y axis :X=0

5)A:2units B:4 units C:7units D:7units

A':2units B':4units C':7units D':7units

6)They are correspondingly the same

7)A(2;1) B(4;4) C(7;4) D(7;1)

A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)

Answer:

4/25

Step-by-step explanation:

Answer:

16% as a fraction is 4/25

Step-by-step explanation:

Every percentage is over a 100. This means that 16% is the same as 16/100 and simplifying this it will be 4/25 ( dividing both by 4)

Answer: Therefore, 14% of cats and dogs got shelter during the day.

Step-by-step explanation:

cats = 5/50 * 100%

    = 5*2% = 10%

dogs = 2/50* 100%

       = 2*2% = 4%

so

= 10% + 4% = 14%

Answer:

Option A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer: 36/a^2b

Step-by-step explanation:

Starting with the question 4a^3b^-2*9a^-5b

Since we have multiplication we multiply our numbers and add exponents

So

4*9=36

and exponents

3+-5=-2

-2+1=-1

So 36a^-2b^-1

BUTTT because we absolutely CANNOT have negative exponents we put them in the denominator to make them positive so our final answer is

[tex]\frac{36}{a^2b}[/tex]

Answer:

120°

Step-by-step explanation:

The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.

Answer:

120

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1:5

10:50

Answer:

10

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

Answer:

$76-$14-$24=$38

Step-by-step explanation:

She owed her mother $76, and has paid back $38, leaving $38 left to be paid. If this helped, please mark as Brainliest :)

Answer:

76-14-24 or another expression is 14+24-76

Step-by-step explanation:

the answer for the expression is 38

Answer:

4 ≥ x÷2.1

Step-by-step explanation:

Answer:

A área de um quadrado cujo perímetro é de 320 m é 6400 m2

Step-by-step explanation:

Answer:

Surface area of sphere = 4 π r²

154 = 4 × 22/7 × r²

154 = 88/7 × r²

154 × 7/88 = r²

12.25 = r²

3.5 = r

Now

Volume of sphere = 4/3 × π r³

Volume = 4/3 × 22/7 × (3.5)³

Volume = 88/21 × 42.875

Volume = 154 cm³

Volume of sphere = Volume of cube

Volume of cube = 154 cm³

Answer:

Midpoint= (0, 4)

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Using the formula above,

midpoint

[tex] = ( \frac{2 - 2}{2} , \frac{8 + 0}{2}) [/tex]

[tex] = (0, \frac{8}{2} )[/tex]

[tex] = (0,4)[/tex]

Answer: $ 48.46

Step-by-step explanation:

If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?

50/1 = 2422.90/x (cross multiplication)

48.46

Answer:

B =57

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

58+B+65 = 180

123+B = 180

B = 180-123

B =57

The angle sum property of a triangle:

∠A + ∠B + ∠C = 180°

⇛58° + 65° + x = 180°

⇛123° + x = 180°

⇛x = 180° - 123°

⇛x = 57°

Option B is the correct answer

Answer:

60°

Step-by-step explanation:

2x and x are linear pair,

=> 2x + x = 180

=> 3x  = 180

=> x = 180/3

=> x = 60°

=>2x =120°

Answer:

x = 60

Step-by-step explanation:

x + 2x =  180   {linear pair}

Combine like terms

3x  = 180

Divide both sides by 3

x = 180/3

x = 60

Step-by-step explanation:

The distance between two point (x_1, y_1) and (x_2, y_2) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the distance between (-1,4) and (1,-1) is

[tex]d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4[/tex]

Hi! I'm happy to help! (sorry for the wait, my computer crashed)

A linear function is where one variable is independent (x), and another is dependent. This means that we use x to solve for y, y depends on x to be found.

To solve this, we use an equation call slope intercept form, which states that y=mx+b.

There is only 1 solution line. (to solve for how to find y, you only have to have two verifications)

For our first table, we have x as 1, 2, 3,and 4. y is 3, 6, 12, and 24.

For our first set, with x is one and y is 3, there are infinite solutions, so we have to test and see if it matches the second set of x is 2 and y is 6.

How I like to check for what m will be, I check the first two y values. The first two are 3 and 6. They have an increase of 3, so m will be 3. (this only works when x increases by 1)

With m being 3, we can solve for b, to complete the equation:

3=(3(1))+b

3=3+b

With this, b must equal 0

3=3+0

Now, we just have to check if this equation matches all of the other x values:

6=(3(2))+0

6=6+0

__________________________________

12=(3(3))+0

12=9+0

12≠9

This equation doesn't seem to work, so this is not a linear function.

For our next table, our first two y values are 2 and 5, which have a increase of 3, so our m will be 3 again.

Now, let's solve for b:

2=(3(1))+b

2=3+b

In this case, b will be -1 because 2=3-1

Now, let's check if this matches up with our other values:

5=((3)2)-1

5=6-1

_______________________________

9=((3(3)-1

9=9-1

9≠8

This equation doesn't work, so it is not a linear function.

For our next table, we have our first two y values as -3, and -5. This has a decrease of 2, so our m will be -2.

Now, let's solve for b:

-3=((-2)1)+b

-3=-2+b

In this equation, b will be -1 because -3=-2-1.

Now, let's check our other values:

-5=(-2(2))-1

-5=-4-1

___________________________________________

-7=(-2(3))-1

-7=-6-1

______________________________________________

-9=(-2(4)-1

-9=-8-1

All of these values match, so this is a linear function.

If you wanted to (you don't have to, but if you needed verification) you could check the fourth problem.

Has a decrease of 2, so m would be -2. Plug it in:

-2=(-2(1))+b

-2=-2+b

b would be 0.

Check it on the second problem:

-4=(-2(2))+0

-4=-4+0

Check the third:

-2=(-2(3))+0

-2=-6+0

-2≠-6

The fourth table doesn't match either, so it is not a linear function.

You should choose option 3 because it is a linear function.

I hope this was helpful, keep learning! :D

Answer:

7×148= 1036

Step-by-step explanation:

This is the easiest way to solve ...

But you are asking a model to be used for solving...

No idea about it

Answer:

Y = C/h+ K

Step-by-step explanation:

hope that helps>3