1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
Answer: B, x=20; angle measure is 30°.
Step-by-step explanation:
Opposite angles are always the same.
You can see that 30° and 3x are opposite angles therefore 3x=30°.
In algebra, when a letter and a number are next to each other, it means times.
So, 3x=30° means 3 times something equals 30.
And we know that 3×10=30 so, x=10.
Hope this helps :)
Answer: 60 rows
Step-by-step explanation:
6000/100=60 rows
Answer:
118. The radius is 118 feet.
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Linear Modeling</u>
It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.
For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

Let's plug in our values

Simplifying:

