What is the solution to the equation?
2 answers:
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Answer:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that
<em>Given that y is greater than x in the classroom;</em>
<em>One of the keywords in the given data is</em><em> "Greater than"</em>
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have
Replace Girls with y and Boys with x
Answer:
a) From the chart crated with Microsoft Excel, we have that the correlation coefficient, r = √0.8581 ≈ 0.93 to the nearest hundredth
The steps used includes
1) Inputting the given data into the cells on a Microsoft Excel spread sheet
2) Highlighting and sorting the data in the cells in order of increasing Rainfall
3) Generating a dot plot using the sorted data from above
4) Adding the trend line, Square of the linear regression, and the trend line equation
5) Adding the axis labels
(b) The correlation coefficient states that there is a strong positive correlation between the monthly rainfall and and Umbrella sales
Step-by-step explanation:
Answer:
a = , b = 5, and
= 20
Step-by-step explanation:
f(x) = - x² + b, x ≤ 0 You would use this equation for f(-2). Since -2 is less than 0.
f(x) = - x² + b, x ≤ 0 ← You can ignore the x ≤ 0 part.
f(-2) = - (-2)² + b Input the value -2 as x. The question states that f(-2) =1.
1 = - (-2)² + b So switch f(-2) with 1 on the left side only.
1 = - (4) + b Simplify. Do the exponents first, so (-2)² = 4.
1 = - 4 + b
<u>+4 +4 </u> Do inverse operations
5 = b
Next,
f(x) = 2ax +3, x > 0 You would use his equation for f(2). Since 2 is greater than 0.
f(x) = 2ax +3, x > 0 ← You can ignore the x > 0 part.
f(2) = 2a(2) + 3 Input the value 2 as x.
f(2) = 4a +3 Simplify. The equation states f(2) = 5. So switch f(2) with 5
5 = 4a +3 on the left side only.
<u>-3 - 3</u> Do inverse operations
2 = 4a
=
Divide 4 on both sides to isolate the variable a
= a Simplify
= a
Then,
The second part says to find
Input both the values of a and b
Simplify
20.
The answer for a is , the answer for b is 5, and the answer for
is 20.