Evaluate function expressions 4 x f(6) - 6 x g(5) =

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

Step-by-step explanation:

the exterior angle is equal to the sum of the interior angles on the opposite side.

As in angle BCD = angle BAC + angle ABC

113 = 72+angle ABC

angle ABC = 41

Answer:

180-113 to find the linear angle.

add that result with 72.

once found the sum, use 180 to subtract the sum to get angle B.

Answer:

d

Step-by-step explanation:

x=rcosθ

y=rsinθ

r=1

θ=76°

Answer:

The restriction of the domain of f(g(x)) is that x cannot be 3.

Step-by-step explanation:

The first step to solve this question is finding the function, replacing the values. So

[tex]f(x) = \frac{1}{x+5}[/tex]

[tex]g(x) = x - 2[/tex]

[tex]f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}[/tex]

The function is a fraction, which means that the restriction is that the denominator cannot be zero. So

[tex]x - 3 \neq 0[/tex]

[tex]x \neq 3[/tex]

The restriction of the domain of f(g(x)) is that x cannot be 3.

Answer:

1 hour and 53 minutes

Step-by-step explanation:

Your welcome

Answer: I believe the scale is balanced.

Step-by-step explanation: I stated that because since the other side of the scale contained 12 marbles that were 1 pound each that would be 12 pounds and then since 4+8=12 12 pounds of marbles were also put on the other side.

Answer:

B

Step-by-step explanation:

3x6 is 18 so therefore its B

Answer:

The answer is -4.

Step-by-step explanation:

It is -4 using the method of PEMDAS.  Subtract 4 and 2 together in the parentheses to get 2.  Multiply to the third root power to get 8.  Then, multiply -3 by 4 together to get -12.  Finally, subtract 12 from 8 to get -4 as your final answer.

Answer:

80˚

Step-by-step explanation:

Since the angles are equal, we can make this equation:

2x + 65 = 8x + 5

60 = 6x

x = 10

so if we put x = 10 in 8x + 5 we get

8x + 5

8(10) + 5

80 + 5

85

Answer: 4 weeks

Step-by-step explanation: 28 divided by 7 is 4.

Answer:

the lenght of the shortest side is 12

Step-by-step explanation:

So first add them all up becuase perimeter

3x+3x+5x-4+5x-4

You’ll get 16x-8

16x-8=56

16x=64

x=4

So then plug it in

3x=3*4=12

5x-4=5*4-4=16

so 12 is the shortest side

Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]

2) (3 , -4) ; m= 3

[tex]y - y_{1} = m(x - x_{1}[/tex])

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]

         [tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}

=

3−[−6]

−5−2

=

3+6

−5−2

=

9

−7

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

Answer:

f(15,055) is the number of pages in a book with 15,055 words.

Step-by-step explanation:

f(w) = length of book (in pages).

w = number of words

Thus, from the options given, the only true statement about the function is that:

f(15,055) = number of pages of a book that has 15,055 words.

"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.

Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5

Answer: 220

Step-by-step explanation:

Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.

Answer:

FE

Step-by-step explanation:

i hope you help this answer

For the two similar figures, the expression can be written as:

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.

For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.

The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:

ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

To know more about similarity follow

https://brainly.com/question/30068992

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Answer:

Yes it can have the lengths 1, 5 and 5

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

Answer:

3x is greater then 3 because 3x has 3 of x and 3 is plain 3

Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

Answer:

Follows are the solution to this question.

Step-by-step explanation:

Please find the solution file for the question in the attachment.

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

Answer:

y= 38x

Step-by-step explanation:

It is going up by 38 each time. There is no b value (y=mx + b), because if you times 6 by 38, you get 228. You don't need to add any remainders.

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation: