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mario62 [17]
3 years ago
6

Solve the equation 1/2x+1/4x= 16 A. 16 B. 21.3 C. 32 D. 64

Mathematics
1 answer:
Otrada [13]3 years ago
5 0
1/2+1/4= 2/4+1/4= 3/4 or .75
Then,
3/4x=16
(3/4x)4/3=(16)4/3   *multiply by the reciprocal everytime you want to isolate x                                                with a fraction\

x= 12
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3 years ago
What is the phase of y= -3cos (3x-pi) +5
ratelena [41]

Answer:

- \frac{\pi}{3}

Step-by-step explanation:

Given

y = -3\cos(3x - \pi) + 5

Required

The phase

We have:

y = -3\cos(3x - \pi) + 5

Rewrite as:

y = -3\cos(3(x - \frac{\pi}{3})) + 5

A cosine function is represented as:

y = A\cos(B(x + C)) + D

Where:

C \to Phase

By comparison:

C = - \frac{\pi}{3}

Hence, the phase is: - \frac{\pi}{3}

3 0
3 years ago
Solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Orlov [11]

Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign                   Taking -(ve) sign

(9+√69)/6=0                           (9-√69)/6=0

∴(9+√69)/6=0                         ∴(9-√69)/6=0

[∵They cannot be further solved]

6 0
3 years ago
Could someone help me, please?
k0ka [10]

We can rewrite the expression under the radical as

\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4

then taking the fourth root, we get

\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|

Why the absolute value? It's for the same reason that

\sqrt{x^2}=|x|

since both (-x)^2 and x^2 return the same number x^2, and |x| captures both possibilities. From here, we have

\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|

The absolute values disappear on all but the b term because all of \dfrac32, a^2 and c^4 are positive, while b^3 could potentially be negative. So we end up with

\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4

3 0
3 years ago
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