Answer:
Step-by-step explanation:
Step 1: Subtract -2x from both sides.
x2+x−7−−2x=−2x−−2x
x2+3x−7=0
For this equation: a=1, b=3, c=-7
1x2+3x+−7=0
Step 2: Use quadratic formula with a=1, b=3, c=-7.
x= −b±√b2−4ac / 2a
x= −(3)±√(3)2−4(1)(−7) / 2(1)
x= −3±√37 / 2
x= −3/2 + 1/2 √37 or x= −3/2 + −1/2 √37
Answer:
x= −3/2 + 1/2 √37 or x= −3/2 + −1/2 √37
Answer:
Option A
Step-by-step explanation:
From the graph attached,
Distance of point A of rectangle ABCD = 5 units
Distance of point E of rectangle EFGH = 5 units
Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.
Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.
Let's check by the rule of reflection,
Rule for the reflection of a point (x, y) across y-axis is given by,
(x, y) → (-x, y)
Following this rule,
A(-5, 5) → E(5, 5)
B(-3, 4) → F(3, 4)
C(-4, 1) → G(4, 1)
D(-6, 2) → H(6, 2)
Therefore, rule for the reflection is applicable in this question.
Option A will be the answer.
Answer:
The probability is 
Step-by-step explanation:
From the question we are given that
The population mean is 
The standard deviation is 
The random number 
The sample size is 
The probability that the sample mean would be greater than 
Generally the z- score of this normal distribution is mathematically represented as
Now
substituting values
Which implies that
Now from the z-table the probability is found to be
Answer:
5x⁷ is a monomial of degree 7
