How many units away is 1 from -6 on a number line?

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Answer:

c

Step-by-step explanation:

the correct answer is c

plz mark me brainliest

This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

Total distance = 30 m

Step-by-step explanation:

Given:

AC : EC = 1:1

AC = 4x − 3 and EC = 2x + 6

Find:

Total distance

Computation:

AC = EC

So,

4x - 3 = 2x + 6

2x = 9

x = 4.5

AC = 4(4.5) - 3 = 15 m

EC = 2(4.5) + 6 = 15 m

Total distance = AC + EC

Total distance = 15 m + 15 m

Total distance = 30 m

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m

Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters

AC = 4x - 3

EC = 2x + 6

Since the measure are in the same ratio, henec;

AC = EC

4x - 3 = 2x + 6

4x - 2x = 6 + 3

2x = 9

x = 4.5

Get the

AC = EC = 4x - 3

AC = EC = 4(4.5) - 3 = 15feet

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\

Learn more here: https://brainly.com/question/17247176

Answer:

  236.9 m

Step-by-step explanation:

Let x and y represent the distances to the near and far cars, respectively. You know from the definition of the tangent of an angle that ...

  tan(angle of depression) = building height/distance to car

  tan(10°39') = 150/x

  x = 150/tan(10°39')

and

  tan(8°15') = 150/y

  y = 150/tan(8°15')

The difference of these two distances is the distance between the cars:

  y - x = 150/tan(8°15') -150/tan(10°39')

__

The minutes of arc can be converted to fractional degrees:

  15' = 15'/(60'/1°) = (15/60)° = 0.25°

  39' = 39'/(60'/1°) = (39/60)° = (13/20)° = 0.65°

So, the distance of interest is ...

  distance between cars = (150 m)(1/tan(8.25°) -1/tan(10.65°)) ≈ 236.86 m

The cars are about 236.9 meters apart.

Answer: A

Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A

Hope this helps

Hi there! Hopefully this helps!

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Question: "Prove that a^{4} + b^{4} + c^{4} > abc(a + b + c) , where a, b, c are different positive real numbers."

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From the AM and GM inequality, we have:

a^4 + b^4 ≥ 2a^2b^2

b^4 + c^4 ≥ 2b^2c^2

c^4 + a^4 ≥ 2a^2c^2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

From adding the inequalities we have above and dividing by 2, we have:

a^4 + b^4 + c^4 ≥ a^2b^2 + b^2c^2 + c^2a^2......1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now we need to repeat the process of a^2b^2, b^2c^2, and c^2a^2 to get:

a^2b^2 + b^2c^2 ≥ 2b^2ac

b^2c^2 + c^2a^2 ≥ 2c^2ab

c^2a^2 + a^2b^2 ≥ 2a^2bc

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now, we add from what we have above and divide by 2 to get:

a^2b^2 + b^2c^2 + c^2a^2 ≥ (b^2ac + c^2ab + a^2bc) or abc(b + c + a).....2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So, from (1) and (2) it follows:

a^4 + b^4 + c^4 ≥ abc( a + b + c)

Answer:

0.5

Step-by-step explanation:

a+b+c=0—(1)  

a2+b2+c2=1—(2)  

We know that:

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca—(3)  

Substituting  (1)  and  (2)  in  (3) ,  0=1+2(ab+bc+ca)  

=>ab+bc+ca=−0.5—(4)  

Squaring:  (ab+bc+ca)2=0.25  

=>a2b2+b2c2+c2a2+2ab2c+2bc2a+2a2bc=0.25  

=>a2b2+b2c2+c2a2+2abc(a+b+c)=0.25  

Since  a+b+c=0 ,

a2b2+b2c2+c2a2=0.25—(4)  

squaring  (2) :

(a2+b2+c2)2=12

=>a4+b4+c4+2a2b2+2b2c2+2c2a2=1  

=>a4+b4+c4+2(a2b2+b2c2+c2a2)=1—(5)

Substituting (4) in (5),

a4+b4+c4+2(0.25)=1

=>a4+b4+c4=0.5

Hope this helps :D

Answer:

I think its b

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

17 in²

Step-by-step explanation:

We can break this figure into two smaller and easier figures:

The top figure (which has side lengths of 3 and 5), and the bottom figure (with sides of 1 and 2.)

Let's find the area of the top figure first. The width is 4 and the length is 5 so:

[tex]3\cdot5=15[/tex] in².

The bottom figure has a length of 2 and a width of 1. So:

[tex]2\cdot1=2[/tex] in².

Now we add these two:

[tex]15+2=17[/tex] in².

Hope this helped!

Answer:

17 square inches

Step-by-step explanation:

We cut the shape in to two bits to make it easier.

5 x 3 = 15 inches

2 x 1 = 2 inches

Now we add these together:

17 square inches.

I know I answered wrong in my first attempt but now I understand the question.

Hope this helps :D

Answer:

777 minutes

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

444+ 333 = 777

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

Answer:

e) 75

Step-by-step explanation:

Given the following :

Total length of cable = 60 foot

Length of each stripe = (4/5) of a feet

Number of stripes = ( total cable length / length of each stripe)

Number of stripes = ( 60 / (4/5))

Number of stripes = 60 ÷ 4/5

Number of stripes = (60 * (5/4)

= (60 * 5) / 4

= 300 / 4

= 75

Number of stripes made = 75

Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.

Given,

A pantry contains 6 shelves.

Each shelves = 42 inches long.

The shelves are to be relined with fresh paper.

The paper is sold in 1-yard rolls.

We need to find the number of 1-yards rolls needed to sell 6 shelves.

1 yard = 36 inches.

We have,

6 shelves and each shelves is 42 inches.

1 shelves = 42 inches.

6 shelves = 6 x 42 inches

6 shelves = 252 inches.

And since,

36 inches = 1 yard

252 inches = (252/36) yard

252 inches = 7 yard

Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.

Learn more about unit conversion here:

https://brainly.com/question/16209700

#SPJ2

Answer:

h(2)= 1

Step-by-step explanation:

h(x) = x^2-5x+7

h(2) = 2^2-5*2+7

h(2)= 1

Answer:

1

Step-by-step explanation:

you have to substitute 2 were there's x in the function

h(2)=x^2-5x+7

=2^2-5(2)+7

=4-10+7

=1

I hope this helps

Answer:

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

111

Step-by-step explanation:

111

Answer:

(C) 87

Step-by-step explanation:

We can use long division to solve this.

[tex]33\overline{\smash{)}#2871}[/tex]

33 goes into 287 8 times and 33 goes into 231 7 times.

So, 87.

Hope this helped!

Answer: C) 87

Step-by-step explanation:

2,871 ÷ 33 = 87

The exponent 7 tells us how many copies of "8" are being multiplied together.

The expression 8*8*8 is equal to 8^3, while 8*8*8*8 = 8^4

Multiplying 8^3 and 8^4 will have us add the exponents to get 8^7. The base stays at 8 the entire time.

The rule is a^b*a^c = a^(b+c) where the base is 'a' the entire time.

Answer:

8^ 7

Step-by-step explanation:

(8*8*8) * (8*8*8*8)

There are 3 8's times 4 8's

8^3 * 8^4

We know that a^b * a^c = a^ (b+c)

8 ^ ( 3+4)

8^ 7

Hey there!

No, the graph is not a function because it has two of the same inputs, (7, -6) and (7, -7).

It also can't be a linear function because the graphs are not pointed to form a straight line.

Hope this helps!

Have a great day!

Answer: No

Step-by-step explanation: Since we can draw a vertical line that passes through two points on the graph, the relation is not a function.

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Answer:

<Q= 15/36=0.42

<R= 36/15=2.4

Step-by-step explanation:

When doing trig you have to remember, "SOH CAH TOA"

Since you're looking for the tangent for angles Q  and R, it would be the opposite over adjacent which is what "TOA" stands for. So, opposite of Q is 15 and adjacent to Q is 36, so you get 15/36. Opposite of R is 36 and adjacent is 15 so you get 36/15.

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

Answer: Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.

Answer:

16,20,8,36

Step-by-step explanation:

he plans to have 2 tables for every 8 guest, which means 1 table for each 4 guest!

now:

2(tables)×4(number of people at each table)=8(number of guests

4×4=16

5×4=20

32(number of guests)÷4(number of people at each table)=8(number of tables)

9×4= 36

Answer:

Since there are 8 guests every 2 table we need to find how many guests are in one table:

8 ÷ 2 = 4 guests

4 tables = 4 x 4 = 16 guests

5 tables = 5 x 4 = 20 guests

32 guests = 32 ÷ 4 = 8 tables

9 tables = 9 x 4 = 36 guests

Hope this helps :D

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Hi, there!!!

It's so simple,

so, let's simply work with it;

Here, the given equation is;

4d-4 = 5d-8

so, let's take "4d" to right side and -8 to left side. we get,

-4+8 = 5d-4d

or, 4 = d

Therefore, the value of d is 4.

{here, we simply simplified to get answer}

YOU ARE ABSOLUTELY RIGHT...

Hope it helps....