If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).

Answer:

x = 13.5

Step-by-step explanation:

We need to use the law of sines

sin 27      sin 34

-------  = --------

11            x

Using cross products

x sin 27 = 11 sin 34

x = 11 sin 34/ sin 27

x=13.54901

To the nearest tenth

x = 13.5

Answer:

I think it is (2,0)

Step-by-step explanation:

Because in it 2 lies in the mid of x either y

Answer:

the time taken for the 15 people to drink 155 pints is 20.67 min.

Step-by-step explanation:

Given;

10 people took 5 mins to drink 25 pints of water

[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]

Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.

the cost price of radio is Rs.4450.

Distributive property

screenshot if you need more words. seems to be a well illustrated and compact explanation right there

Answer:

6x+7y=56

Step-by-step explanation:

In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1

Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].

But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

Answer: $420

Step-by-step explanation:

40% of 1st year commission

1st year commission is $1050

40% x 1050 = .40 x 1050 = 420

$420

Answer:

(-12,-6)

Step-by-step explanation:

A translation 5 units to the left (x-5)

And 4 units down ( y-4)

(-7-5, -2-4)

(-12,-6)

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

Answer:

Step-by-step explanation:

Sum of digits of rank even - sum of digits of rank odd  must be a multiple of 11

(5+4+m+1)-(1+6+0)=11*k

10+m-7=11*k

3+m=11*k

m=8

Proof: 1086415/11=98765

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12

Answer:

y = -26.059x + 722.63

Step-by-step explanation:

The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.

It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.

To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.

Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.

In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.

Learn more about equations on:

https://brainly.com/question/13763238

#SPJ2

Answer:

(0.5, 0.5)

Step-by-step explanation:

Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

The points are:

[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]

Therefore, the midpoint between A and C is located at (0.5, 0.5).

Answer:

B

Step-by-step explanation:

there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4

Answer:

sqrt( 97)

Step-by-step explanation:

To find the distance between 2 points

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

   = sqrt( (3-7)^2 + (8 - -1)^2)

    = sqrt( ( -4)^2 + (8+1)^2)

    = sqrt( 16+9^2)

   = sqrt(16+81)

  = sqrt( 97)

Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\dfrac{1+2}{1}(x)[/tex]

[tex]y+2=3x[/tex]

Subtract 2 from both sides.

[tex]y=3x-2[/tex]

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].

[tex]y\geq 3x-2[/tex]

Therefore, the required inequality is [tex]y\geq 3x-2[/tex].

Answer:

y>3x-2

Step-by-step explanation:

.............................

Answer:

3.1°

Step-by-step explanation:

Given the temperature values :

12 degrees, -2 degrees, -6 degrees, and 8.4 degrees

To obtain the average temperature, take the sum of the temperatures and divide by the number of days

Sum of temperature values : (12 + (-2) + (-6) + 8.4) = 12.4 degree

Sum of temperature / 4

= 12.4 / 4

Average temperature = 3.1 degrees

Answer:

First we need the formula to solving a cone :

[tex]V=\pi r^2\frac{h}{3}[/tex]

We substitute pi as 3.14!

62.8 is the answer

Why?

3.14 x 5 squared x 12/3 is 62.8

Therefore the answer is 62.8

Answer:

4/5

Step-by-step explanation:

Square of 1: 1*1=1

Square of 2: 2*2=4

Square of 3: 3*3=9

Square of 4: 4*4=16

Square of 5: 5*5=25

Square of 6: 6*6=36

Square of 7: 7*7=49

Square of 8: 8*8=64

Square of 9: 9*9=81

Square of 10: 10*10=100

Those are the basics.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

[tex] \large{ \tt{❊ \: S \: O \: L \: U \: T \: I \: O \: N \:❊ }}[/tex]

[tex] \underline{\large{ \tt{۵ \: S \: T \: E \: P \: S} }} : [/tex]

[tex] \large{ \tt{❁ \: \sqrt{ \frac{16}{25} }→\sqrt{ \frac{ {4}^{2} }{ {5}^{2} } }→ \sqrt{ (\frac{4}{5} ) ^{2} } → (\frac{4}{5} )}^{ \frac{2}{2} } → \boxed{ \tt{ \frac{4}{5} }}} [/tex]

[tex] \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \frac{4}{5} }}}}[/tex]

Answer:

243

Step-by-step explanation:

When you multiply 3 five times you get 243.

Answer: 243

Step-by-step explanation: Make sure to multiply three five times/ Don't get confused so right when you do three times three you multiply it by the number you got.

Answer:

Step-by-step explanation:

you have to do 5+1 and then you will get 6

Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.

Answer:

I think its C.

Step-by-step explanation:

this that I brain farted oooo i got it

n(p(a)) = 256

256 = 2^8

n(a) = 8

Must click thanks and mark brainliest

Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.