Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
Answer:
both decrease
Step-by-step explanation:
mean before the 4th kitten = 153
mean after the 4th kitten = 129
<em>hence mean decreases</em>
median before the 4th kitten= 153
median after the 4th kitten= 150
<em>hence median decreases</em>
Answer:
Dimensions of rectangle are 
Step-by-step explanation:
Area of rectangular knitted blanket = 
We need to find the dimensions of blanket.
If we need to find the dimensions, we need to find the factors of area.
Factoring:
We will break the middle them -11x
- Adding 4x-15x we get -11x
- Multiplying 4x and -15x we get -60x^2 (Product of -6 and 10x^2)
Now, finding factors
So, factors of 
are 
So, dimensions of rectangle are
The solution to the problem is as follows:
sin(10 deg) = 300/DF
<span>
DF = 300/sin(10 deg) = 1727.63 meters
</span>
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