Answer:
15. y = 6x
16. x = 11
Step-by-step explanation:
15. A direct variation equation is of the form ...
y = kx
Solving for k, we find ...
k = y/x = 42/7 = 6
The equation is y = 6x.
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16. Filling in the given values, we have ...
66 = 6x
11 = x . . . . . . . divide by 6
Answer:
1(5+b) or 2+3+b
hope this helps
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Step-by-step explanation:
Answer:
100 pennies
Step-by-step explanation:
each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100
Answer:
3²
Step-by-step explanation:
3⁸ × 3⁴ = 3⁸ ⁺ ⁴ = 3¹²
3² × 3⁸ = 3² ⁺ ⁸ = 3¹⁰
3¹² ÷ 3¹⁰ = 3¹² ⁻ ¹⁰ = 3²
Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).