Answer:
<h3>The translation statement for the given equation
is " Three-fourths of a number minus twelve is the same as twelve. "</h3>
Step-by-step explanation:
Given equation is
<h3>To find the statement which could be a translation of the given equation :</h3>
- The above equation can be written as
- Three-fourths of a number x minus twelve is equal to twelve.
<h3>Therefore the translation statement for the given equation
is " Three-fourths of a number minus twelve is the same as twelve. "</h3>
The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct
Answer:
Explanation:
Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept.
Here slope: 3/2 and y-intercept: -5
Parallel slope has the same tangent slope.
Pass through point (x, y) = (6, 3)
Equation:
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
brainly.com/question/10700288
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Call the price of the bike before mark up 'x', then we have:
x + 0.25x = 210
1.25x = 210
x = 168
Therefore, the bike cost $168 before 25% price increase.
Answer:
- 7/10
Step-by-step explanation:
There you go hope alls well.
