Answer:
6 and 400
Step-by-step explanation:
Pesky Pests: 100+50a No Bugz: 40+60a After <u>6 </u>additional applications do both companies charge the same. The cost is <u>400</u>. 100+50*6=400 40+60*6=400
Answer with explanation:
The given trigonometric Function is,
y= cos x
→The maximum value of , cos x , is 1, at x=0 degree.
Cos x =1
→Cos x = Cos (0)degree,
→ for, k= An Integer
x=2 k π→→General formula that gives the x-coordinates of the maximum values for y = cos(x)
Ordered Pair =(x,y)=(2 k π, 1)
For, any value of , k in the given equation, y will be always 1.
Answer:
42
Step-by-step explanation:
rectangle = 8x9 = 72
1/3 0f 72 = 24 (72-24= 48)
1/8 of 48 =6 48-6 =42
red-----24
green-----6
unpainted-----42
24+6+42+=72
Fraction is 2.161616/1000000
mixed number is 2 161616/1000000
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
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