Answer:
Step-by-step explanation:
Four
Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.
More important, it tells you what to put in for x on the right.
f(z) would tell you to put z in for x anywhere there is an x on the right.
f(z)=2z+1. It is just a shorthand to tell you what to do on the right.
f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.
f(2) = 2(2) + 1
f(2) = 4 + 1
f(2) = 5
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Five
f(x) = -x - 5 The minus 4 is not going to change what you do.
f(-4) = -(-4) - 5 Wherever you see an x you put in a minus 4
f(-4) = 4 - 5
f(-4) = - 1
======================
Just so you know, consider a more complicated example
f(x) = 20x^3 + 7x^2 + 4x + 19
Where ever you see an x put in 2
f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19
f(2) = 20*8 + 7*4 + 4*2 + 19
f(2) = 160 + 28 + 8 + 19
f(2) = 215
Note x can be anything the question tells you it is.
f(5) means put a 5 in for every x.
Answer: 6 in.
Step-by-step explanation:
Hope this helped! :)
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
#LearnwithBrainly
Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
To find the y intercept you must substitute 0 into x.
F(x) = (-3x0) - (6x0) - 5
F(x) = -5
To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate
x = 6/(-3x2)
x = 6/-6
x = -1
Now we need to find the y coordinate so we sub -1 into x.
F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4
The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.