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geniusboy [140]
3 years ago
12

F(x) =10x 5 and g(x) =3x 6 then what is ( f-g)

Mathematics
1 answer:
padilas [110]3 years ago
7 0
(10x 5 - 3x 6)
(50x - 18x)
(f-g) = 32x
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A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of
Mashcka [7]

Answer:

3 inches up per foot across

Step-by-step explanation:

The rate of change:

( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =

= 6 in / 2 ft = 3 in / 1 ft

8 0
3 years ago
F as a function of x is equal to the square root of quantity 6 x plus 9 , f as a function of x is equal to the square root of qu
Elis [28]

Answer:

A. \sqrt{6x+9} +\sqrt{6x-9}

Step-by-step explanation:

We are given the functions f(x) and g(x) as,

f(x)=\sqrt{6x+9}

g(x)=\sqrt{6x-9}

It is required to find the function ( f+g ) i.e. ( f+g ) (x)

So, (f+g)(x)=f(x)+g(x)

i.e. (f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}

Hence, we get that (f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}.

So, the first option is correct.

4 0
3 years ago
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
3 years ago
Read 2 more answers
A triangular towelette has a base of 2 inches and a height of 3 inches. What is the area of a towelette with double the base and
zysi [14]
A triangle with a base of 2 and a height of 3.

Double the base and it becomes 4, and double the height and it becomes 6.

Area of the new figure = 1/2 * base * height = 1/2 * 4 * 6 = 2 * 6 = 12

The area of a towelette with double the base and double the height is 12 inches^2.
8 0
3 years ago
​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
zheka24 [161]
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
                                                                         
19</span>²<span> = 13</span>²<span> + X</span>²<span> 
X - length of the third side
                                                           
361 = 169 + X</span>²<span> 
X</span>²<span> = 361 - 169
                                                                     
X</span>²<span> = 192
                                                                             
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
3 0
3 years ago
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