Answer:
From the attached diagram, it is clear that:
- Red graph represents the function f(x) = x³
- Blue graph represents the function g(x) = x³+4
It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.
Step-by-step explanation:
Given the function
The graph of the function f(x) is attached below.
We know that when we add the number, let say h, to the function output, it means the graph is shifted 'h' units up.
So, when we add 4 units to the graph f(x), it means the graph will be shifted 4 units up.
Therefore, the graph g(x) = f(x)+4 will be result of shifting 4 units up.
The diagram graph of both f(x) and g(x) is attached below.
From the attached diagram, it is clear that:
- Red graph represents the function f(x) = x³
- Blue graph represents the function g(x) = x³+4
It is clear from the blue line graph, that when we add 4 units to the output of the parent function, it will be shifted 4 units up.
Answer:
B would be your answer worked for me.
Step-by-step explanation:
Answer:
32 cm
Step-by-step explanation:
Since this triangle (formed by construction) is a 45 45 90 triangle, this means that the ratio between one of the sides (a) and the hypotenuse (h) is <em><u>h = a * </u></em>
This means that all of the sides are 8 since 8 *
is the diagonal. Multiply 8 by 4 to get your answer, 32 cm.
Answer:
The dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.
Step-by-step explanation:
Given:
The perimeter of the rectangular table is 680 centimeters.
Now, to find the dimensions:
Let, the width of rectangular table be 
And the length of the table be 
Now, putting the formula of perimeter of rectangle to get the dimensions:
Perimeter = 2(length + width)



By subtracting both sides with 48 we get:

Now, dividing both sides by 8 we get:

So, width of the table = 79 centimeters.
And, length of the table = 24+3×79
= 24+237
= 261 centimeters.
Therefore, the dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.
Answer:
X = savings, p= pay per hour
X+4p = 86 - - - - (1)
X+6p=104 - - - - - (2)
Re arrange equation (1)
X=86-4p-----(3)
Substitute (3) in (2)
86-4p +6p=104
86+2p=104. (subtract 86 from both side)
2p = 18. (divide by 2 from both side)
Then p =$9
By substitute in equation (1)
X = $50