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morpeh [17]
3 years ago
13

Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what is f(x) − g(x)?. . a. f(x) − g(x) = log3 (4x − 4).

b.f(x) − g(x) = log3 (4x − 6). c. f(x) − g(x) = log3 5. d. f(x) − g(x) = = log3 1/5.
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0
f ( x ) = log _{3} ( 5 x - 5 ), g ( x ) =log _{3} ( x - 1 ); \\ f ( x ) - g ( x ) = log _{3}( 5 x - 5 ) - log _{3}( x - 1 ) = \\ log _{3}   \frac{5(x-1)}{x-1}  = log _{3} 5
Answer: C ) f ( x ) - g ( x ) = log3 5
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What is the value of 7x2−6x when x = 4
Yanka [14]
You replace x with 4 7•4•2-6•4= 32
8 0
3 years ago
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Please help if you can!!!!
storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y  y = 15-x    substitute into second equation

1.5x + .75(15 - x) = 18    

You should get the correct answer for number of hot dogs if you solve this correctly.  Put your answer in the x + y =15 equation to get y.  Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

5 0
3 years ago
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm
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2 years ago
How can this be solved?
Ad libitum [116K]

Answer:

by multiplying all numbers seperatly by each other and adding those

Step-by-step explanation:

7 0
3 years ago
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