To answer the question above, raise both sides of the equation to the power of two.
(sqrt (2x + 1))² = 3²
This will simplify into,
2x + 1 = 9
Solving for the value of x gives an answer of x = 4. This value is not an extraneous root as it satisfy the original equation even if it is inside the radical sign. (I hope this is right)
The scale factor in the question given above is: 2 See the explanation below.
<h3>What is a scale factor?</h3>
In math, the scale factor is the extent or ratio by which a geometrical shape is enlarged or reduced.
<h3>What is the explanation for the above answer?</h3>
We know that:
- The distance from point Q to point A is 1.25
- The distance from point A to point A' is 1.25
Given the above, the distance from point Q to point A' is 2.50. This is double the distance from point Q to point A.
The scale factor is 2.
1.25 + 1.25 = 2.50
2.50 / 1.25 = 2
Learn more about scale factor at;
brainly.com/question/25722260
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Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
Answer:
(3x-7) (x-7)
Step-by-step explanation:
.20 is a rational number between -1/4 and 2/5.
It can be part of a ratio.
20:100
A fraction
20/100 or 1/5
I hope this helps!
~cupcake