7. Two functions f and g are defined over the set R of real numbers as follows: f:x-2x-3 g:x→x²+5 Find f[g(x - 1)]​

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]

Answer:

x=10

Step-by-step explanation:

The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].

For this triangle

[tex]\sqrt{2}y=5\sqrt{2}[/tex]

so y=5.

Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of

y, [tex]\sqrt{3}y[/tex], and 2y.  So

2y=x=10    

Answer:

89.14 Sq . meter

Step-by-step explanation:

Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :

4 metres × 16 metres

= 64 sq. meter

Area of semicircle :

(pi×r^2)/2

= {(22/7)× (8/2)^2}/2

= (22×4×4)/(7×2)

= 176/7

= 25.14 sq. meter

Now , area of whole figure= (64+25.14)sq. meter

= 89.14 sq. meter

Answer:

The answer is C

Step-by-step explanation:

The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.

Answer:4x−24

Step-by-step explanation:

10x−3(2x+8)

10x-(3*2x+3*8)

10x-(6x+24)

10x-6x-24

4x-24

Answer:

4x-24

Step-by-step explanation:

10x-3(2x+8)

step 1 distribute -3 to what's inside of the parenthesis

-3*2x=-6x and -3*8=24

so now we have 10x-6x-24

the last step is to combine like terms 10x+-6x=4x

4x-24

Answer:

One Solution

Step-by-step explanation:

Trust me

Answer:

36

Step-by-step explanation:

12 x 3 =36

Answer:

36 kilometers or 22.4 miles

Step-by-step explanation:

12 kmh times 3 equals 36

Answer:

34

Step-by-step explanation:

12(3)-2

36-2

34

Answer:

im sorry if this is wrong but i think its 2

Answer:

D. This was the first time Judicial Review took action in court.

Step-by-step explanation:

Answer:

I cant graph on here

Step-by-step explanation:

Answer:

3x-5 if x≤-1    = Green

-2x+3 if -1<x<4   = Orange

2 if x≥4  = Purple

Answer:

Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data      EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.

Step-by-step explanation:

Answer:

145 degrees

Step-by-step explanation:

1. A straight line is 180 degrees

2. 180-35=145

Answer:

Where are the graphs

Step-by-step explanation:

Answer:

(2 x a)+(3 x b)+c=total points

Step-by-step explanation:

Answer:

uh thanks for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.

For an average person:

1 mile = 2,000 to 2,500 walking steps

1 km = 1,250 to 1,550 walking steps

10,000 steps = 4 to 5 miles

Answer:

He will read 1/2 more than Philippe

Step-by-step explanation:This will be because is Rafael reads 1/2 and Philippe reads 1/2 of that it would still be 1/2

Answer:

The correct options are: Interquartile ranges are not significantly impacted by outliers. Lower and upper quartiles are needed to find the interquartile range. The data values should be listed in order before trying to find the interquartile range. The option Subtract the lowest and highest values to find the interquartile range is incorrect because the difference between lowest and highest values will give us range. The option A small interquartile range means the data is spread far away from the median is incorrect because a small interquartile means data is nor spread far away from the median

Answer:

Calculate the median of

Step-by-step explanation:

Found on G O O G L E. Sorry if it's wrong.

Answer:

-2

Step-by-step explanation:

Answer:

40.76

Step-by-step explanation:

gimme ye points

The two whole numbers that are the closest to √42 are 6 and 7.

The given number is √42.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The square root of √42 =6.48

The two whole numbers that are the closest to √42 are 6 and 7.

Therefore, the two whole numbers that are the closest to √42 are 6 and 7.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ5

Answer:

you have it marked correctly-A.1,2

Step-by-step explanation:

they are the same only flipped around

Answer:

A . 1 and 2

Step-by-step explanation:

count the squares

Answer:

Step-by-step explanation:

Your answer

X =0.35 p

Mark it as Brainlist. Follow me for more answer.

Answer:

A

Step-by-step explanation:

The thing that is represented is the area of the walkway along the length of the flower patch. Therefore, option A is the correct answer.

Given that, Sam created function A to represent the total area taken total length and width A= 4:2 + 36.1 + 72

From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modelling the new total length and width.

Therefore, option A is the correct answer.

Learn more about functions on:

brainly.com/question/25638609

#SPJ2

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

-----------------------------------------------------------------------------------

Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

Answer:

240 miles

Step-by-step explanation:

64x3 =192

3/4 of 64 is 48

192 + 48 = 240

Answer: what is the question

Step-by-step explanation:

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation: