Answer:
None of the options are true.
Step-by-step explanation:
We are given with the following parts;
A. 100 x 1,000 = 107
B. 10 x 1,000 = 105
C. 0.01 x 103 = 100
D. 0.001 x 105 = 100
The first statement that 100 x 1,000 = 107 is false because the multiplication of the numbers 100 and 1,000 gives the result of 100,000 but in question; it is written as 107, So, this is false.
The second statement that 10 x 1,000 = 105 is false because the multiplication of the numbers 10 and 1,000 gives the result of 10,000 but in question; it is written as 105, So, this is false.
The third statement that 0.01 x 103 = 100 is false because the multiplication of the numbers 0.01 and 103 gives the result of 1.03 but in question; it is written as 100, So, this is false.
The fourth statement that 0.001 x 105 = 100 is false because the multiplication of the numbers 0.001 and 105 gives the result of 0.105 but in question; it is written as 100, So, this is false.
Hence, all the statements are false.
Answer:
1. k(x) = (3g + 5h)(x) = -24x+40
2. k(x) = (h - g)(x) = 0
3. k(x) = (g + h)(x) = -6x+10
4. k(x) = (5g + 3h)(x) = -24x+40
5. k(x) = (3h - 5g)(x) = 6x-10
6. k(x) = (5h - 3g)(x) = 10-6x
Step-by-step explanation:
Given
h(x) = 5 - 3x
and
g(x) = -3 x + 5
1. k(x) = (3g + 5h)(x)
3*g(x) = 3(-3 x + 5)
=> -9x+15
5*h(x) = 5(5 - 3x)
=>25-15x
(3g + 5h)(x)=3*g(x)+5*h(x)
= -9x+15+25-15x
=-9x-15x+15+25
=-24x+40
2. k(x) = (h - g)(x)
(h - g)(x) = h(x) - g(x)
= 5 - 3x -(-3 x + 5)
=5-3x+3x-5
= 0
3. k(x) = (g + h)(x)
(g+h)x = g(x) + h(x)
= -3 x + 5 + 5 - 3x
= -6x+10
4. k(x) = (5g + 3h)(x)
5*g(x) = 5(-3 x + 5)
=-15x+25
3*h(x) = 3(5 - 3x)
=15-9x
(5g + 3h)(x) = 5*g(x) + 3*h(x)
= -15x+25+15-9x
= -15x-9x+25+15
=-24x+40
5. k(x) = (3h - 5g)(x)
(3h - 5g)(x) = 3*h(x)-5*g(x)
=15-9x-(-15x+25)
=15-9x+15x-25
=-9x+15x+15-25
=6x-10
6. k(x) = (5h - 3g)(x)
5*h(x)-3*g(x) = 25-15x - (-9x+15)
= 25-15x+9x-15
= 25-15-15x+9x
=10-6x
Remember how the tangent function is defined as
Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
Answer:
3x²
Step-by-step explanation: