Answer:
180 degrees
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use distributive property:
5(2x - 3) = 5x - 10
10x - 15 = 5x - 10
Isolate the variable:
10x = 5x - 10 + 15
10x = 5x + 5
10x - 5x = 5
5x = 5
x = 1
Answer: the due date would be 92 weeks
Step-by-step explanation:
Since the time required to complete a project is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of weeks.
µ = mean
σ = standard deviation
From the information given,
µ = 80 weeks
σ = 10 weeks
If a construction company bidding on this contract wishes to be 90 percent sure of finishing by the due date, the z score corresponding to 90%(90/100 = 0.9) is 1.29
Therefore,
1.29 = (x - 80)/10
x - 80 = 1.2 × 10
x - 80 = 12
x = 80 + 12 = 92
Using the points (5, 1273) and (10, 2546), equation for the line is 5y = 1273x.
<h3>Define equation.</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Given,
Coordinates (5, 1273) and (10,2546)
For slope, m
m = y₂ - y₁/ x₂ - x₁
m = 2546 - 1273/10 -5
m = 1273/5
Equation in y = mx form,
y = 1273/5 x
Cross multiplying,
5y = 1273x
To learn more about equation, visit:
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Answer:
C is correct
Step-by-step explanation:
Given: System of linear inequality
First we will draw the graph of system of equation and then see the correct option.
Equation 1:
We will make the table.
x : -2 0 2
y : 1 0 -1
Test Point: (0,4)
0<-2 ( False )
Shaded area away from (0,4)
Equation 2:
We will make the table.
x : -2 0 2
y : -1 3 7
Test Point: (0,4)
4≥3 ( True )
Shaded area towards (0,4)
Please see attachment for graph.
Hence, C is common shaded area (region)
