evaluate the following expressions given the following functions: f(x) = 3x-5 and g(x) = -5x +7

Answer:

-2

Step-by-step explanation:

its -2 cuz to find the slope the equation is the second y - the first y over the second x - the first x so -5 - 5 is 10 over 3 - -2 is 5 so it would be -10/5 which simplifies to -2

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5*3=22.5

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ2

Answer:

[tex]KE = 520 J[/tex]

Step-by-step explanation:

[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]

Answer:

Step-by-step explanation:

Refer to attached

To find:

Solution

The trapezoid is isosceles and NK is its height, therefore

Since ∠KDN = 45°, the triangle NKD is isosceles and so

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

Area of trapezoid

Complete question :

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answer:

1.4 miles

Step-by-step explanation:

Given that :

Ned's home and park are on the same straight road :

Store where Ned stopped is 4/7 of the way to the park

Bikes the remaining 0.6 miles to the park

Hence after traveling 4/7 of the distance, distance to park is 0.6 miles

Hence, 1 - 4/7 = 3/7

Hence, 3/7 of the way = 0.6 miles

If 3/7 = 0.6 miles

Then, 1 = x

Cross multiply

3/7 x = 0.6

3x = 4.2

x = 4.2 / 3

x = 1.4 miles

The distance from Ned's home to park is 1.4 miles

The distance between Ned's home and the park is 1.4 miles.

Ned is riding his bike from his house to the park, both of which are on the same straight road.

At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.

The fraction of the distance yet to be covered is,

[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]

Now, the remaining distance is given that is 0.6 mile.

Therefore,

[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]

Thus, the distance between Ned's home and the park is 1.4 miles.

To know more about it, please refer to the link:

https://brainly.com/question/24379068

Answer:

ok

Step-by-step explanation:

0.083,80.83,8.83,0.8

Hope that helps you.

Answer:

Thanks so much

Step-by-step explanation:

plz give me brainiest

Answer:

= 0.312

Solution:

Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

2000000 ÷ 6410251 = 0.312

and therefore:

2 ÷ 6.410251.6109 1) = 0.312

Both calculated to 3 decimal places.

             0 0 0 0 0 0 0. 3 1 2

6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0

           − 0                  

             2 0                

           −   0                

             2 0 0              

           −     0              

             2 0 0 0            

           −       0            

             2 0 0 0 0          

           −         0          

             2 0 0 0 0 0        

           −           0        

             2 0 0 0 0 0 0      

           −             0      

             2 0 0 0 0 0 0 0    

           − 1 9 2 3 0 7 5 3    

                 7 6 9 2 4 7 0  

               − 6 4 1 0 2 5 1  

                 1 2 8 2 2 1 9 0

               − 1 2 8 2 0 5 0 2

                         1 6 8 8

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer:

48x=2x

Step-by-step explanation:

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