Answer:
y=(5/2)x+(-11/2)
Problem: What is the slope-intercept form for a line going through (3,2) and is parallel to y=(5/2)x-5?
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept. So we see that m=5/2 since that is the slope of y=5/2 x-5.
y=(5/2)x+b
We know (x,y)=(3,2) is a point on the line so replacing x with 3 and y with 2 gives:
2=(5/2)(3)+b
2=(15/2)+b
Subtract 15/2 on both sides:
2-(15/2)=b
Simplify:
(4-15)/2=b
(-11/2)=b
So the equation is:
y=(5/2)x+(-11/2)
Answer:
All real numbers
Step-by-step explanation:
The domain is the set of all real numbers, since q(x) is always defined.
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer
t = -4
Step-by-step explanation:
First you subtract 9 from both sides. You get 12 on the right. Then you divide both sides by -3. You get -4.
The value of a data point that is -2 standard deviations from the mean
so, 40.6 to 65.4.
<h3>What is the empirical rule?</h3>
According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:
= 53- 6.2- 6.2
= 40.6
The value of a data point that is -2 standard deviations from the mean
53 + 6.2 + 6.2
= 65.4
Learn more about the empirical rule here:
brainly.com/question/13676793
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