Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
After using the algebraic equation, the required value of x = 55/2.
WHAT IS ALGEBRIC EQUATION?
A mathematical statement wherein two expressions have been set equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Equations, or the equal sign, simply indicate equality. Equating each quantity with another is what equations are all about. Equations act as a scale of balance. If you've ever seen a balance scale, users know that for the scale to be deemed "balanced," an equal amount of weight must be applied to each side. The scale will tip to one side if we only add weight to one side, and the two sides will no longer be equally weighted.
(x-3)2 = 49
= x-3 = 49/2
= x = (49/2) + 3
= x = 55/2
So, the required value of x = 55/2.
To know more about algebraic equation click on the below given link
brainly.com/question/24875240
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Answer:
The volume of cube is 125 cm³.
Step-by-step explanation:
Given that the formule of volume of cube is, V = length×width×height. Cube is a 3D form of square, so the sides of the cube are all the same. You have to substitute 5 into the formula,
Let length be 5 cm,
Let width be 5 cm,
Let height be 5 cm,
Volume = 5×5×5
= 125 cm³
Set up the following equations:
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.
The answer is D, "No, because two points with the same x-value have different y-values."
Essentially, there cannot be more than one point on the same x-line. Point (2, 11) and point (2, 2) are on the same x-line, which is 2.
Hope this helps!
