Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Answer:
The w in w² + 5·w → Variable
The 2 in w² + 5·w → Exponent
The 5 in w² + 5·w → Coefficient
Step-by-step explanation:
1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;
2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself
3) The coefficient is the factor multiplying the variable in an equation or expression.
Answer:
13/12
Step-by-step explanation:
Answer:
The rate of interest is 20% and the sum is $3,750
Step-by-step explanation:
In order to calculate the sum and rate of interest we would have to make the following calculation:
rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1
According to the given data we have the following:
sum in 4 years=$7,776
sum in 3 years=$6,480
Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296
Therefore, rate of interest=$1,296*100/$6,480*1
rate of interest=20%
To calculate the sum we would have to make the following calculation:
FV=PV(1+20%)∧3
$6,480=PV(1,20)∧3
PV=$3,750
Sum is $3,750
measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Step-by-step explanation:
Arc length = 29.21
Circumference = 40.44
Central angle = ?
The formula used to find central angle is:
where s = arc length, r= radius and Ф=central angle.
We need to find radius from circumference
So, radius = 6.34
Now, finding central angle:
So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44
Keywords: Central angle of circle
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