if f(x) = 3x-2 and g(x) = 2x + 1, find (f-g)(x)​

Answer: The correct answer is 94 cm.

Step-by-step explanation:

wingspan         length

60 meters        70.5 m

----------------- = ----------------

80 cm                   x

Cross multiply

(60 m)x = (70.5 m)(80 cm)

Solve for x by dividing both sides of equation by 60 m:

x = (70.5 m)(80 cm) / (60 m) = 94 cm

The length of the model is 94 cm.

Answer:

94 cm

Step-by-step explanation:

Write and solve an equation of ratios:

70.5 m       60 m

----------- = -----------

    L           80 cm

Cross multiplying, we get:

(70.5 m)(80 cm) = (60 m)L

                                                                     (70.5 m)(80 cm)

Then the model length, L, should be  L = -------------------------

                                                                              60 m

or

L = 94 cm

Answer:

C. The number of crackers in the supervisor's bag is 1 standard deviation to the right of the mean.  

Step-by-step explanation:

Data

mean + standard deviation = 22 + 2 = 24, that is, 1 standard deviation to the right of the mean (the addition is to the right, the subtraction to the left).

Answer:

Wonder Woman

Step-by-step explanation:

she has the highest total

Answer:

The correct answer is Wonder woman

Step-by-step explanation:

Its because wonder woman has the highest total. Its that simple.

Hope this helps! bye

Answer:

A, b, and c

Step-by-step explanation:

They aren’t in college right now. It’s asking for current college students which is d

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]\frac{15}{\sqrt{3} }[/tex]

Multiplying and dividing by [tex]\sqrt{3}[/tex]

=> [tex]\frac{15}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]

=> [tex]\frac{15\sqrt{3} }{(\sqrt{3})^2 }[/tex]

=> [tex]\frac{15\sqrt{3} }{3}[/tex]

=> [tex]5\sqrt{3}[/tex]  (A Rationalized denominator!)

Answer:

5√3

Step-by-step explanation:

To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply [tex]\frac{15}{\sqrt{3} }[/tex] [tex]* \frac{\sqrt{3}}{\sqrt{3}}[/tex] . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.

Answer:

Step-by-step explanation:

The graph of f(x) is translated (right, up) = (h, k) to ...

  g(x) = f(x -h) +k

___

Graph B is translated right 1 unit, so its function is ...

  g(x) = f(x -1) = root(3, x-1)

__

Graph C is translated down 1 unit, so its function is ...

  h(x) = f(x) -1 = root(3, x) -1

The following function is transferred to the new location on the graph. For a particular variable, the value of the function is different.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Given function are;

[tex]\rm g(x)= root(3,x-1)\\\\ h(x)= root(3,x)-1\\\\[/tex]

From the graph, it is observed that;]

Graph A

[tex]\rm g(x)=f(x-h)+k[/tex]

Graph B

[tex]\rm g(x)= f(x-1)=root(3x-1)[/tex]

Graph C

[tex]\rm H(x)(= f(x)-1 = root (3,x)-1[/tex]

Hence, the following function is transferred to the new location on the graph.

To learn more about the function, refer to the link;

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Answer:

Perimeter (upper bound) =42.16 m

Area (lower bound)= 81.11 m2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Since both measures were rounded to the nearest tenth, the possible numbers are:

Length (L) =15.8m ; (between 15.75 and 15.84)

Lower =15.75 ; upper = 15.84

Width (w) =5.2m (between 5.15 and 5.24)  

Lower = 5.15 ; upper = 5.24

Upper bound perimeter = 2 (15.84)+2(5.24) = 42.16 m

Lower bound for the area of the rectangle = 15.75 x 5.15 = 81.11 m2

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Solution,

Finding the value of X,

[tex]11x + 2 = 68[/tex]

( being vertically opposite angles)

[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]

Value of X is 6

Now, finding the value of z

[tex]z + 68 = 180[/tex]

(sum of angle in linear pair)

[tex]z = 180 - 68 \\ z = 112[/tex]

Value of z is 112.

Hope this helps....

Good luck on your assignment...

Answer:

2000

2200

2220

3100

Step-by-step explanation:

Answer:

There are 4

2200

2000

3100

2220

Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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Answer:

The answer would be D.

Step-by-step explanation:

I know this, because all you have to do is plug in whatever number equals zero in the parenthesis.

It should look like this.

G(x) = (x-3)^2 - 5

So you would plug in 3 for x.

Then the answer to the equation would be -5.

Then I look to see if there is a point at (3, -5)

There was a point there, so then I knew that was the answer.

Corrected Question

The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }

Answer:

[tex]\{x | x >3 \}[/tex]

Step-by-step explanation:

Given an inequality whose solution is represented by the number line attached below.

We observe the following from the number line

There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)

The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:

The solution in the number line can be written using set-builder notation as:

[tex]\{x | x >3 \}[/tex]

Answer:

The correct option is:

x+y = 2

Step-by-step explanation:

Street 1 is given.

If Street 2 is parallel to Street 1, then they will have the same slope.

Find slope of Street 1:

Take any 2 points on Street 1. Consider (-2,3) and (1,0)

Slope is given by:

m = (y₂ - y₁) / (x₂ - x₁)

m = 0-3 / 1-(-2)

m = -3/3

m = -1

For Street 2:

y = mx + c

y = -1x +c

As it passes through (-2,4), substitute the point in the above equation:

4 = -1(-2) + c

c = 2

So substitute m = -1 and c =2 into general form of equation:

y = mx + c

y = -x + 2

or

x+y = 2

Answer:

(1, 2)

Step-by-step explanation:

The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.

f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).

Answer:

Angle AME is 180° hence a straight angle.

Hope this helps you.

Answer:

straight

Step-by-step explanation:

<AME is a straight angle because:

I hope this helped you, and have a great rest of your day!

Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

m = (y2-y1)/(x2-x1)

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Then, you have to substitute the coordinates into the formula :

[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]

[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]

[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]

[tex]m = \frac{ - 1}{ - 8} [/tex]

[tex]m = \frac{1}{8} [/tex]

Answer:

36/100

Step-by-step explanation:

this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.

The probability that we get the same number is 9/25.

It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.

Numbers in first bag=10

Numbers in second bag=10

Common numbers=5,6,7,8,9,10

Total common numbers=6

So the probability that we get the same numbers will be

= 6/10* 6/10

=36/100

=18/50

=9/25

Hence the probability that we will get the same numbers is 9/25.

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Answer:

see below

Step-by-step explanation:

15+2x> 31

Subtract 15 from each side

2x > 16

Divide by 2

2x/2 > 16/2

x > 8

There is an open circle at 8

The line goes to the right

Answer:

Total time to fill the water = 263 second (Approx)

Step-by-step explanation:

Given:

Total amount of water = 11,000 ounces

Density of water = 0.58 ounce/inch³

Rate = 72 inch³/second

Find:

Total time to fill the water

Computation:

Volume = mass / density

Volume of water = 11,000/ 0.58  = 18965.5172 inch³

Total time to fill the water = Volume of water / Rate

Total time to fill the water = 18965.5172 inch³ / 72 inch³/second

Total time to fill the water = 263.409961 second

Total time to fill the water = 263 second (Approx)

Answer:

shoulf be the first one: f(x) (½)^x-3

Answer:

For the first question, there is a 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

100: 224 = 61:x → 61/100 = x/224

100x = 13664

x = 136.64 → 136 groups (You can't round up if you don't have enough people)

Hope this helped!

Answer: 39% chance for only boys and a 61% chance for only girls. For the second one it is, about 136 groups.

Step-by-step explanation:

:) The other answer is correct too! But just for clarification! :)

Hey there! :)

Answer:

A. 108 ft².

Step-by-step explanation:

Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:

2(4 ·3) = 2(12) = 24 ft²

2(4· 6) = 2(24) = 48 ft²

2(3 · 6) = 2(18) = 36ft².

Add up the areas of the faces:

24 + 48 + 36 = 108 ft².

Answer:

A) 108 sq ft

Step-by-step explanation:

SA = PH + 2LW

P = 2(L + W)

SA = 2(L + W)H + 2LW

SA = 2(4 ft + 3 ft)(6 ft) + 2(4 ft)(3 ft)

SA = 108 sq ft

Answer:

(2x³ - 3)²

Step-by-step explanation:

4x⁶ - 12x³ + 9

2²x⁶ - 12x³ + 9

2²x²ˣ3 - 2 * 2x³ * 3 + 3²

2² * (x³)² - 2 * 2x³ * 3 + 3²

(2x³)² - 2 * 2x³ * 3 + 3²

(2x³ - 3)²

Hope this helped! :)

Answer:

x = 25.

Step-by-step explanation:

Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.

Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!

[tex]\frac{x}{60} =\frac{60}{144}[/tex]

144 * x = 60 * 60

144x = 3600

2x = 50

x = 25

Hope this helps!

Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer:

The perimeter of given figure  = 56.56 ft

Step-by-step explanation:

Step(i):-

From diagram

      The length of the rectangle = 10 ft

     The width of the rectangle = 8 ft

     Perimeter of the rectangle

                      = 2 ( l+w)

                     =  2 ( 10 + 8)

                     = 2 × 18

                     = 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

        perimeter  of the circle

          p = 2πr + d

        perimeter of the semicircle

        [tex]P = \frac{1}{2} 2\pi r + d[/tex]

       P = πr + 2 r    (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

      d = 8

     d = 2 r = 8

The radius of the circle 'r' = 4  

    perimeter of the semicircle

       P = πr + 2 r  

      P = 3.14 ( 4) + 8

     P= 20.56

Conclusion:-

The perimeter of given figure

                    = perimeter of rectangle + perimeter of semicircle

                    = 36 + 20.56

                   =56.56 ft

Answer:

-3x^2-15x-30

Step-by-step explanation:

Follow order of operations

Answer:

-3x^2 -15x -30

Step-by-step explanation:

First you would square the parenthesis, and get x^2 +6x+9 inside the parenthesis, then you would multiply it by the -3 and get -3x^2 -18x-27-3+3x then you combine like terms to get the answer.