Answer:
(4,9)
Step-by-step explanation:
If f(x) is a function, the function f(x) + a is a function translated a units up vertically. <em>Hence, all the y-coordinates of the coordinates of the points on the function will shift up by a.</em>
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For this problem, we need to find corresponding coordinate of (4,4) of f(x) + 5. <em>This means that the y-coordinate of this coordinate will increase by 5 and x will stay the same</em>.
Hence, corresponding point for f(x) + 5 for the point (4,4) would be (4,4+5) OR (4,9).
Answer:
a) 3x-5=16
b) 30cm
Step-by-step explanation:
a) 5(x-1)=2(x+8)
5x-5=2x+16
5x-2x-5=16
3x-5=16
b) solving the equation gives x=7
put x=7 into first line, 5(7-1)=30cm
to check we can place it into second one as well
2(7+8)=30cm
Answer:
The pencil cost $0.05 and the pen cost $1.05.
Step-by-step explanation:
Let, the price of the pencil is $ .
Given that the pen costs a dollar more than the pencil,
So, the price of the pen=$+1.
Therefore, ++1=1.10
, 2+1=1.10
, 2=1.10–1
, 2=0.10
, =0.10/2
, =0.05
The pencil cost $0.05 and the pen cost $1.05.
Answer:
Cross section
Step-by-step explanation:
Cross section refers to the new two dimensional face exposed when we slice through a three dimensional objects.
It can also be the surface or shape exposed by making a straight cut through something, especially at right angles to an axis.
Cross section is the plane surface(two-dimensional objects) formed by cutting across a solid shape (three-dimensional shape) especially perpendicular to its longest axis.
Range is the value of the output
basically
y=f(x)
since it is -4
y=-4 is the range
not listed
, and we have to solve for x.