Step-by-step explanation:
18+ 5(2x + 5) = 12
18 + 10x + 25 = 12
43 + 10x = 12
10x = 12 -43
10x = -31
x = -3.1

<=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
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2x2+x+14x+7
Factor out the greatest common factor from each group.
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x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)
Answer:
the linear equation is :
y= -2625x+5737875
and 440000 employees will be in year 2271
Step-by-step explanation:
in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e
x1= 1987 y1= 522,000
and
x2= 2003, y2 = 480000
according to two point form:

In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,

now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation

Answer:
Use the formula for direct variation
Step-by-step explanation: