The amount of money raised by Amy is £36 and by Chris is £54.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Amy raised £n for charity. Chris raised £18 more than Amy. The mean amount raised by the two of them is £45.
Amy = £n
Chris = £n + 18
Mean = ( £n + £n +18 ) / 2
45 x 2 = 2£n + 18
n = £36
Chris = £n + 18
Chris = 36 + 18
Chris = £54
Therefore, Amy and Chris each raised £36 and $54 respectively.
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114
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Answer:
(k4+3+3k3)+(-5k3+6k3+8k5)
Final result :
8k5 + k4 + 4k3 + 3
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((k4)+3)+(3•(k3)))+(((0-(5•(k3)))+(6•(k3)))+23k5)
Step 2 :
Equation at the end of step 2 :
(((k4)+3)+(3•(k3)))+(((0-(5•(k3)))+(2•3k3))+23k5)
Step 3 :
Equation at the end of step 3 :
(((k4)+3)+(3•(k3)))+(((0-5k3)+(2•3k3))+23k5)
Step 4 :
Equation at the end of step 4 :
(((k4) + 3) + 3k3) + (8k5 + k3)
Step 5 :
Checking for a perfect cube :
5.1 8k5+k4+4k3+3 is not a perfect cube
Trying to factor by pulling out :
5.2 Factoring: 8k5+k4+4k3+3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: k4+3
Group 2: 8k5+4k3
Pull out from each group separately :
Group 1: (k4+3) • (1)
Group 2: (2k2+1) • (4k3)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
5.3 Find roots (zeroes) of : F(k) = 8k5+k4+4k3+3
Polynomial Roots Calculator is a set of methods aimed at finding values of k for which F(k)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers k which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 8 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4 ,8
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -8.00
-1 2 -0.50 2.31
-1 4 -0.25 2.93
-1 8 -0.13 2.99
-3 1 -3.00 -1968.00
-3 2 -1.50 -66.19
-3 4 -0.75 -0.27
-3 8 -0.38 2.75
1 1 1.00 16.00
1 2 0.50 3.81
1 4 0.25 3.07
1 8 0.13 3.01
3 1 3.00 2136.00
3 2 1.50 82.31
3 4 0.75 6.90
3 8 0.38 3.29
Polynomial Roots Calculator found no rational roots
Final result :
8k5 + k4 + 4k3 + 3
Step-by-step explanation:
Answer:
Domain: (-4, ∞)
Range: (-∞,∞)
Step-by-step explanation:
Domain is all of your possible x values and range is all of the possible y values. I may have wrote the brackets wrong but the values are wright.