Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
9x² - 4 = 3²x² - 2²
= (3x)² - 2² {a = 3x; b = 2}
= (3x + 2)(3x - 2)
<u>Answer:</u>
8.3100 x
<u>Explanation:</u>
83100 in this form would be 8.3100 x because you can see 4 digits after the decimal point which would be raised to the 4th power of 10.
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Answer:
The speed with which Mrs Beck walk is or 4.5 miles per hour
Step-by-step explanation:
Given:
Distance = 3/4 of a mile
Time = 1/6 of an hour.
To Find:
Speed = ?
Solution:
We know that
On substituting the values
Speed =
Speed = miles per hour or 4.5 miles per hour
Answer:
Inequality is
Slope intercept form is
Solutions are
Graph: attached to the question
Step-by-step explanation:
Given: Group dance numbers last 4 minutes and a solo performance lasts 3 minutes. The maximum duration for the recital is 87 minutes.
To find: inequality (in standard form) that describes the given situation, inequality in slope-intercept form, solutions for the inequality
To graph: the inequality
Solution:
x denotes the number of group dances on the program
y denotes the number of solo numbers on the program
Total duration of group dance numbers = minutes
Total duration of solo performance = minutes
According to question,
Slope intercept form of equation is where m denotes slope of line and c denotes y-intercept of the line.
Slope intercept form of :
For ,
So, is a solution of the inequality.
For ,
So, is a solution of the inequality.
Graph: attached as image
It would be best if you actually plotted this on a graph to help you better understand it however the answer would be (-3, 6)