Answer:
Using the graph of f(x) and g(x), where g(x) = f(kx), determine the value of k. A: 4 B: 1/4 C:-1/4 D:-4 "
Step-by-step explanation:
Answer:
y = -3x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
x-intercept (-2, 0)
y-intercept (0, -6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Redefine</u>
Slope <em>m</em> = -3
y-intercept <em>b</em> = -6
<u>Step 4: Write linear equation</u>
Slope-Intercept Form: y = -3x - 6
Put the values you know in the formula and solve for the constant of variation.
.. y = kx^2
.. k = y/x^2 . . . . . fill in values for y and x and compute.
Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
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To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
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Problem 8)
The answer is choice B) 5
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Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10
$75= Cassidy's goal
c= number of cupcakes
a= $6 already raised
EQUATION:
75<$3c + a
substitute $6 in for a
75< $3c + 6
subtract 6 from both sides
69<3c
divide both sides by 3
23<c
Cassidy needs to sell at least 23 cupcakes to reach her goal of $75.
Answer:
FALSE: Cassidy will need to sell any number of cupcakes greater than 12 to reach her goal.
TRUE: Cassidy will need to sell any number of cupcakes greater than 23 to reach her goal.
Hope this helps! :)
