Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below: f(x) = 4x − 4 g(x) = x − 1 a)−20 b) −4 c) 4 d) 1/4

QUESTION POSTED AT 18/01/2020 - 07:02 AM

Answered by admin AT 18/01/2020 - 07:02 AM

Translating the given to mathematical form:

Given: f(x) = 4x - 4
g(x) = x-1

Find f(-4) / g(-4)

f(-4) = 4(-4) -4 = -20
g(-4) = -5

f(-4) / g(-4) = -20 / -5 = 4

Therefore, the correct answer is C.
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125p^12 * 16 p^12(in multiplication add the powers 
2000 p^12+12
answer= 2000 p^24

ANSWERED AT 20/02/2020 - 10:02 AM


QUESTION POSTED AT 20/02/2020 - 10:02 AM

What 20% tip would you leave on a $100 check

Twenty dollars for a tip.

ANSWERED AT 20/02/2020 - 10:01 AM


QUESTION POSTED AT 20/02/2020 - 10:01 AM

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

The standard equation for a hyperbola with a horizontal transverse axis is 

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
 . The center is at (h, k) . The distance between the vertices is 2a . The distance between the foci is 2c and c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2
√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1

ANSWERED AT 20/02/2020 - 09:54 AM


QUESTION POSTED AT 20/02/2020 - 09:54 AM

Find the sum. write the sum as a mixed number , so the fractional part is less than 1. 4 1/2 + 2 1/2 ?

To answer this problem:

1. 4+2 is 6
2. 1/2 +1/2 is 1 whole
3. After finding these two steps, you add 1 and 6 together giving you...
4. 1 + 6 is 7. 
That's your answer, hopefully this helped ;) 

ANSWERED AT 19/02/2020 - 06:02 PM


QUESTION POSTED AT 19/02/2020 - 06:02 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

Lilana takes 4 breaths per 10 seconds during yoga.At this rate about how many breaths would Lilana takes in 2 minuets of yoga?

60 seconds in 1 minute.....so there is 120 seconds in 2 minutes

4 / 10 = x / 120.....4 breaths to 10 seconds = x breaths to 120 seconds
cross multiply
10x = 480
x = 480/10
x = 48 breaths <==

ANSWERED AT 19/02/2020 - 05:28 PM


QUESTION POSTED AT 19/02/2020 - 05:28 PM

What is the area of a rectangle which is 57 cm long and its breadth is 34 cm? One weird question for you to answer, what's my name?

Area of a rectangle is length*width.
If length is is 57 cm and width is 34 cm, then area is 
(57 cm)(34 cm) = 1938 cm^2

ANSWERED AT 19/02/2020 - 05:01 PM


QUESTION POSTED AT 19/02/2020 - 05:01 PM

Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct it. Here's his math problem - 10/$5.49 =$1.82 each

He needs to flip the equation. So the real answer is 5.49/10=0.549

ANSWERED AT 19/02/2020 - 04:38 PM


QUESTION POSTED AT 19/02/2020 - 04:38 PM

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Answer:

x=2

Step-by-step explanation:

We have been given an equation 4x+8=16. we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

4x+8-8=16-8

4x=8

Divide both sides by 4:

\frac{4x}{4}=\frac{8}{4}

x=2

Therefore, x=2 is the solution for our given equation.

Let us verify our answer:

4x+8=16

4(2)+8=16

8+8=16

16=16

Both sides are equal. Hence proven x=2 is solution for our given equation.

ANSWERED AT 19/02/2020 - 04:35 PM


QUESTION POSTED AT 19/02/2020 - 04:35 PM

A picture frame is 5 inches on 2 sides and x inches on the other 2. If its perimeter is 50 inches, how long is each of the other sides? 20 22 45 48

The answer is 20 because 5+5=10. 50-10=40. 40 divided by 2 = 20!
The answer is 20!

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

A recipe asks for cup of milk. How much milk is needed to make of the recipe? A. cup B. cup C. cup D. 1 cup

C, it's always c, when in doubt, pick c

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

You are painting the outside of a 36-foot fence that goes around a square playground. There are 4 equal sections. You have painted 1/4 of one section. What fraction of the job have you completed?

Answer:

You have completed \frac{1}{16} of the job.

Step-by-step explanation:

You are painting the outside of a 36 foot fence.

There are 4 equal sections of the fence = 36 ÷ 4 = 9 feet one section.

You have painted \frac{1}{4} of one section.

9 × \frac{1}{4} = \frac{9}{4} feet.

you have painted \frac{9}{4} feet of one section.

Now the fraction of total job done = \frac{9}{4\times 36} = \frac{1}{16}

You have completed \frac{1}{16} of the job.

ANSWERED AT 19/02/2020 - 04:01 PM


QUESTION POSTED AT 19/02/2020 - 04:01 PM

15 is how many times more than 5? Write the expression not the answer.

Huh well, you can do 5 times x = 15 or 15/5 = x
x is the answer

ANSWERED AT 19/02/2020 - 03:57 PM


QUESTION POSTED AT 19/02/2020 - 03:57 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

State the property that is demonstrated: 3 · (8 · 4) = (3 · 8) · 4. A. Commutative B. Associative C. Distributive D. Additive

I believe it's the associative

ANSWERED AT 19/02/2020 - 03:19 PM


QUESTION POSTED AT 19/02/2020 - 03:19 PM

20% of a number is x. What is 100% of the number? Assume x>0.

100% of a number would be 5 * 20.

5x

ANSWERED AT 19/02/2020 - 02:47 PM


QUESTION POSTED AT 19/02/2020 - 02:47 PM

The tip for excellent service in a restaurant is 20 for every 100 of the meal what is the total bill (cost of meal plus tip) for a 60 meal?

I would think the tip would be 15 wich would make the meal all together 85.

ANSWERED AT 19/02/2020 - 02:34 PM


QUESTION POSTED AT 19/02/2020 - 02:34 PM

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books! How many books will Hannah have in her collection after her donation? Write your answer as an expression.

Answer:

b/50

Step-by-step explanation:                                                                          There were 150 students who donated a total of b books.

The students donated an average of b/150 books each.

Hannah donated 3 times as many books as the average.

b/150 * 3 = b/50

Hannah donated b/50 books.

ANSWERED AT 19/02/2020 - 02:30 PM


QUESTION POSTED AT 19/02/2020 - 02:30 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

Adam makes $25 per lawn he mows. How much does he make if he mows 4 lawns? Question 4 options: $29 $50 $75 $100

$25 x 4 = $100

edwbede

ANSWERED AT 19/02/2020 - 01:35 PM


QUESTION POSTED AT 19/02/2020 - 01:35 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

A line has a slope of - 4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply. a. (-2,0) and (2,5) b. (-4,5) and (4,-5) c. (-3,4) and (2,0) d. (1,-1) and (6,-5) e. (2,-1) and (10,9)

we know that

if two lines are perpendicular

then the product of their slopes is equal to minus one

so

m1*m2=-1

in this problem we have

m1=-\frac{4}{5}

the value of m2 must be equal to

m2=-\frac{1}{m1} =-\frac{1}{(-4/5)}=\frac{5}{4}

we know that

The formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Find the slopes of each of ordered pairs and compare with m2

case a) (-2,0)\ and\ (2,5)

Substitute in the formula

m=\frac{(5-0)}{(2+2)}

m=\frac{(5)}{(4)}

The slope is equal to m2

so

The ordered pair case a)  could be points on a line that is perpendicular to the given  line

case b) (-4,5)\ and\ (4,-5)

Substitute in the formula

m=\frac{(-5-5)}{(4+4)}

m=\frac{(-10)}{(8)}

m=-\frac{5}{4}

The slope is not equal to m2

so

The ordered pair case b)  could not be points on a line that is perpendicular to the given  line

case c) (-3,4)\ and\ (2,0)

Substitute in the formula

m=\frac{(0-4)}{(2+3)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case c)  could not be points on a line that is perpendicular to the given  line

case d) (1,-1)\ and\ (6,-5)

Substitute in the formula

m=\frac{(-5+1)}{(6-1)}

m=\frac{(-4)}{(5)}

The slope is not equal to m2

so

The ordered pair case d)  could not be points on a line that is perpendicular to the given  line

case e) (2,-1)\ and\ (10,9)

Substitute in the formula

m=\frac{(9+1)}{(10-2)}

m=\frac{(10)}{(8)}

m=\frac{5}{4}

The slope is equal to m2

so

The ordered pair case e)  could be points on a line that is perpendicular to the given  line

therefore

the answer is

(-2,0)\ and\ (2,5)\\(2,-1)\ and\ (10,9)

ANSWERED AT 19/02/2020 - 01:33 PM


QUESTION POSTED AT 19/02/2020 - 01:33 PM

Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function. What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box? If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box? Using complete sentences, explain the connection between the cutout and the volume of the box. Design an equation that would work for any cardboard sheet length, q, and width, p.

For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)

ANSWERED AT 19/02/2020 - 01:10 PM


QUESTION POSTED AT 19/02/2020 - 01:10 PM

What is the answer to 12 = 4/5w ?

12 =  \frac{4}{5} w
Multiply Crusader, we have:
4w = 12*5
4w = 60
w =  \frac{60}{4}
\boxed{w=15}

Confirm that the solution is correct:

12 = \frac{4}{5} w
12 = \frac{4}{5} *15
12 =  \frac{60}{5}
\boxed{12 = 12}(TRUE)

Answer:
\boxed{w=15}

ANSWERED AT 19/02/2020 - 01:09 PM


QUESTION POSTED AT 19/02/2020 - 01:09 PM

Find side b if a =10 inches and side c = 16 inches.

Then it would be 52inches or 160 inches depends of your looking for area or perimeter

ANSWERED AT 19/02/2020 - 12:49 PM


QUESTION POSTED AT 19/02/2020 - 12:49 PM

How many times does 4 go into 108

All you need to do is divide:

108/4=27

4 goes into 108, 27 times

Hope this helped!! :)

ANSWERED AT 19/02/2020 - 12:32 PM


QUESTION POSTED AT 19/02/2020 - 12:32 PM