Answer:
66.6%
Step-by-step explanation:
Step one
given
A coat at a store is originally priced at $54.99
The store marks down the price down to $32.99
Required
the percent decrease
Step two:
the percent decrease= change in price/ old price*100
the percent decrease= 54.99-32.99/54.99*100
the percent decrease= 22/ 32.99*100
the percent decrease= 0.666*100
the percent decrease= 66.6%
Answer:
x = -1 and y = -1.
Step-by-step explanation:
The given system of equations are :
y = 4x + 3 ....(1)
y = -x - 2 ....(2)
From equation (1) and (2) :
4x + 3 = -x - 2
Taking like terms together,
4x + x = -3 -2
5x = -5
x = -1
Put the value of x in equation (1)
y = 4(-1) + 3
= -1
The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.
Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor
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Formula:
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Area of triangle = 1/2 ab sin c
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Find area
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Area of triangle = 1/2 (13) (7.5) sin (94)
Area of triangle = 48.6 in² (nearest tenth)
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Answer: Area of triangle = 48.6 in²
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