Answer:
Step-by-step explanation:
9(3−2x)=2(10−8x)
Step 1: Simplify both sides of the equation.
9(3−2x)=2(10−8x)
(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)
27+−18x=20+−16x
−18x+27=−16x+20
Step 2: Add 16x to both sides.
−18x+27+16x=−16x+20+16x
−2x+27=20
Step 3: Subtract 27 from both sides.
−2x+27−27=20−27
−2x=−7
Step 4: Divide both sides by -2.
−2x
−2 = −7
/−2
x=
7/
2
Answer:
x=
7/
2
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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Im pretty sure that answer is four!
Answer:
The length side of the original square banner was 9 ft
Step-by-step explanation:
Let
x-----> the length side of the original square banner
we know that
The new area of the banner is equal to
Solve for x
Solve the quadratic equation by graphing
The solution is x=9 ft
see the attached figure
I hope this helps you
3.2x-3.4+4x-2
6x-12+4x-2
10x-14
