Answer:
3
Step-by-step explanation:
g(x) = f(x) + k, is true for all values of x.
At x = 0, f(x) = 2
At x = 0, g(x) = 5
Therefore, at x = 0
=> g(x) = f(x) + k
=> 5 = 2 + k
=> 3 = k
Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x
Answer:
fourth graph in second pic
Step-by-step explanation:
first lets substitute points to see whether the graph increases or decreases
sooo
y = -2(2^0)
y = -2
(0, -2)
y = -2(2^1)
y = -4
(1, -4)
y = -2(2^2)
y = -2(4)
y = -8
(2, -8)
with these points we can tell that the graph is decreasing, since there is two graphs decreasing, we can use the points to see if the parabola lies on the points (i think its called parabola)
its the last graph. fourth graph on page 2
Answer: 1.05
Step-by-step explanation:
Fro one to solve a decimal multiplier, we need to either add or subtract the number that we are given in percentage from 100% ane then convert the value we get to a decimal.
In this case, since we want to increase the value by 5%, we add the value to 100% and then change to decimal. This will be:
= 100% + 5%
= 105%
We then divide 105% by 100%
= 105%/100%
= 1.05
The answer is 1.05
Answer:
Equation in point slope form is: 
Solving for y we get: 
Step-by-step explanation:
We are given:
Slope = 4
Point (-6,-3)
Point Slope form:
We need to write equation for point-slope form
The general equation of point slope form is: 
Where m is slope and
are points on the line
Now putting values of slope m= 4,
and finding equation

So, equation in point slope form is: 
Solve for y

So, solving for y we get: 
Answer:139 cm squared
Step-by-step explanation:
First separate it:
10x3
7x7
4x15
These are the 3 rectangles that make up this shape
Then multiply
10x3=30
7x7=49
4x15=60
Then add your answers
30+49+60=139cm squared