If f(x) = -6x and g(x) = -6x + 5, find (fog)

Answer:

[tex]y=6x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=6x+b[/tex]

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]

Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:

[tex]y=6x+(-5)\\y=6x-5[/tex]

I hope this helps!

Answer:

0.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

5068300- five million, sixty-eight thousand, three hundred

472607- four hundred seventy-two thousand, six hundred seven

51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven

Answer:

[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]

Answer: D

Step-by-step explanation:

dim A=(a,b), dim B=(c,d), in order to multiply, c=b

1) dim A=(1,2) , dim B=(1,2) but 2≠1

2) dim A=(2,1) , dim B=(2,2) but 1≠2

3) dim A=(2,2) , dim B=(1,2) but 2≠1

4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

Answer:

 NO = 10

Step-by-step explanation:

The segment addition theorem tells you ...

 MN + NO = MO

Substituting the given expressions for these lengths, we have ...

 x + 5x = 3x+6

 3x = 6 . . . . . . . . . subtract 3x

 x = 2 . . . . . . . . . . divide by 3

We can use this value to find the length NO:

 NO = 5x = 5(2) . . . . substitute for x

 NO = 10

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

Maximum budget = $400 + $50 = $450

Minimum budget = $400 - $50 = $350

A.) Now, the maximum guest will cost the maximum budget, therefore, we can write

Maximum guest = Maximum budget / Budget per guest

                           = $450 / $25

                           = 18

Minimum guest = Minimum budget / Budget per guest

                           = $350 / $25

                           = 14

B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.

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Answer:

Where is figure. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.

Using the following representation:

[tex]KB \to[/tex] Kilobyte

[tex]B \to[/tex] Bytes

1024 bytes in 1 kilobyte is represented as:

[tex]1024B = 1KB[/tex]

Let the number of bytes in n kilobytes be x.

So, we have:

[tex]x = n\ KB[/tex] and

[tex]1024B = 1KB[/tex]

Cross multiply

[tex]x \times 1KB = 1024B \times nKB[/tex]

Divide both sides by KB

[tex]x \times 1 = 1024B \times n[/tex]

[tex]x = 1024n\ B[/tex]

Remove the units for proper representation

[tex]x = 1024n[/tex]

Hence, there are 1024n bytes in n kilobytes

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Answer: 1024n

Step-by-step explanation:

Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

Answer:

9 minus a square root is the answer I think...

Step-by-step explanation:

Integers are all positive&negative numbers + 0

Both are supplementary angles.

[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]

Answer:

0.16666666666

Step-by-step explanation:

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Answer:22

Step-by-step explanation:

4*(2) + (6) +12 - 2*(2)=

8 +6 +12 -4=

14 +8= 22

Answer: 22

Step-by-step explanation:

Answer:

Which grade's book exercise is this?

Answer:

A=1/2 Bh

6cm^2=1/2.3cm.h

12cm^2=3cmh

H=4cm

Answer:

h(-5) = (-2)^2 + 5 = 9

h(-1) = (2)^2 + 5  = 9

(9-9)/4 = 0

average rate of change is 0

Step-by-step explanation:

Answer:

Associative property.

Step-by-step explanation:

[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]

Answer:

-16

Step-by-step explanation:

-k² -(3k-5n)+4n k=-1 , n= -2

= -(-1)² - ( 3(-1) -5(-2) )+4(-2)

= -1-(-3+10)-8

= -1-(7)-8

= -1-7-8

= -16

The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.

Given data:

To calculate the volume of the warehouse, you need to multiply its length, width, and height:

Volume = Length *  Width * Height

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Given the dimensions:

Length = 22.4 meters

Width = 11.3 meters

Height = 5.2 meters

Substitute these values into the formula:

Volume = 22.4 m × 11.3 m × 5.2 m

Calculate the result:

Volume = 1,316.224 m³

So, the volume of the warehouse is approximately 1,316.224 cubic meters.

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Answer:

138 kg / 6 = 23 kg per boy

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)