Answer:
As both these angles form a linear pair, they together will form 180°
So,
(2x + 45)° + x = 180°
=> 2x + 45 + x = 180°
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Answer:
19 years
Step-by-step explanation:
Initial height of tree when Samiya bought the tree = 3 inches
Growth in the height of tree every year = 5 inches
Number of years = 
Growth in the height of tree in
years = 5 inches multiplied by number of years
Growth in the height of tree in
years = 5
inches
To find:
Number of years taken by the tree to be 8 ft or 96 inches.
Solution:
The equation for height of tree after
years can be written as:
3 + 5
which is to be compared with 96 inches.
Therefore, the equation is:

Therefore, it will take <em>19 years</em> for the tree to reach a height of 96 inches.
Answer:
The slope of function A is 2 times the slope of function B.
Step-by-step explanation:
In function A, every-time the input goes up 1 the output will also go up one. In function B, every time the input goes up by 1, the output goes up by two. Therefore, the slope of function A is 1 but the slope of function B is 1/2.
1/2*2=1
Answer:
(-2,4) and (2,0)
Step-by-step explanation:
The graphical solution to the system of equations is simply the point(s) where the graphs of the function intersect or cross each other.
The graphs of the function can be found in the attachment below;
From the graph, the functions intersect at ;
(-2,4) and (2,0)
Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required