Answer:
g(x) is greater
Step-by-step explanation:
it is greater because when mulitplying the function g and x you get a higher number than you would with f(x)
hope that helps!!
Answer:
The image of AB will be 15 cm long after dilation by a scale factor of 5.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
Rule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin
AB = length → A'B' = 5(length)
It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.
so
AB = 3 cm
Thus, the length of image A'B' will be:
A'B' = 5(3) = 15 cm
Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.
(y + 5)³
(y + 5)(y + 5)(y + 5)
(y² + 5y + 5y + 25)(y + 5)
(y² + 10y + 25)(y + 5)
(y³ + 5y² + 10y² + 50y + 25y + 125)
y³ + 15y² + 75y + 125
<h2>
The required 'option C) 144' is correct.</h2>
Step-by-step explanation:
We have,
To find, the possible value of x = ?
∴
⇒ 
Using the exponential identity,
⇒ 
⇒ 
⇒ 
Squaring both sides, we get
⇒ 
⇒ x = 144
∴ The possible value of x = 144
Thus, the required 'option C) 144' is correct.
4x + 3y = 19 multiply this by 4
5x - 4y = 47 multiply this by 3:-
16x + 12y = 76..............(1)
15x - 12y = 141............(2)
Add (1) + (2);-
31x = 217
x = 7
Now plug = 7 into the first equation:-
4(7) + 3y = 19
3y = 19 - 28 = -9
t = -3
Solution is x = 7, y = -3.
