Answer:
1
Step-by-step explanation:
The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.
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<em>Additional comment</em>
Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.
3 -2 +1 -1 = 1
Answer:
18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes 90 kg of a 50% copper alloy .
Step-by-step explanation:
Let us assume that the kilogram of 30% copper used to make alloy be x .
Let us assume that the kilogram of 55% copper used to make alloy be y .
As given
A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper.
The metalworker combine to create 90 kg of a 50% copper alloy .
Equation becomes
x + y = 90
30% is written in the decimal form .
= 0.30
55% is written in the decimal form .
= 0.55
50% is written in the decimal form .
= 0.50
Equation becomes
Concentration of 30% copper alloy × Number of kilograms of 30% copper alloy used + Concentration of 55% copper alloy × Number of kilograms of 55% copper alloy used = Concentration of 50% copper alloy × Number of kilograms of 50% copper alloy .
0.30x + 0.55y = 0.50 × 90
Simplify the above equation
30x + 55y = 4500
Two equation becomes
x + y = 90
30x + 55y = 4500
Multiply x + y = 90 by 30 and subtracted form 30x + 55y = 4500 .
30x - 30x + 55y - 30y = 4500 - 2700
25y = 1800
y = 72 kilograms
Putting the value of y in the equation .
x + 72 = 90
x = 90 - 72
x = 18 kilograms
Therefore 18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes 90 kg of a 50% copper alloy .
Answer:
Subtract the result of three times five with 1.
Step-by-step explanation:
Subtract the result of three times five with 1.