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3 years ago

I need the answer. Please help me . It’s due today

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

9514 1404 393

Answer:

graph: lower right

π units to the right of the graph of f(x)

Step-by-step explanation:

The transformation of f(x) to f(x-h) is a translation to the right by h units.

Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.

The graph of the translated function is shown below.

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2m/(2m 3)-(2m)/(2m-3)=1how many extraneous solutions does the equation have?

Slav-nsk [51]

$\frac{2m}{2m+3} - \frac{2m}{2m-3} =1 \\ \frac{2m(2m-3)-2m(2m+3)}{4m^2-9} =1 \\ \frac{4m^2-6m-4m^2-6m}{4m^2-9} =1 \\ \frac{-12m}{4m^2-9} =1 \\ -12m=4m^2-9 \\ 4m^2+12m-9=0 \\ m=0.6213 \ or \ m=-3.6213$
For m = 0.6213, $\frac{2(0.6213)}{2(0.6213)+3} - \frac{2(0.6213)}{2(0.6213)-3} \\ \frac{1.2426}{4.2426} - \frac{1.2426}{-1.7574} =0.2929+0.7071=1$
For m = -3.6213, $\frac{2(-3.6213)}{2(-3.6213)+3} - \frac{2(-3.6213)}{2(-3.6213)-3} \\ \frac{-7.2426}{-4.2426} - \frac{-7.2426}{-10.2426} =1.7071-0.7071=1$
Therefore, the equation has no extraneous solution.

4 0

4 years ago

Please answer with explanation

nalin [4]

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

)−12(−1)

]−5[24+2(−12)]

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

−12)−5(24+2(−12))

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

to get -\frac{49}{4}−

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

)−5(24+2(−12))

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

to get \frac{49}{2}

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

−5(24+2(−12))

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

−5(24−24)

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

−5×0

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

to get \frac{49}{2}

\frac{49}{2}

=24.5

(b)−a

−3a

a=−

b=−1

Step-by-step explanation:

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3 0

3 years ago

this week luiz made 80% of what he made last week if he made $72 this week how much did he make last week?

kvv77 [185]

Answer: He made $90 last week.

Assumption :

Let, Luis made $X last week.

He made $72 this week which is 80% of $X that he made last week

⇒ X * 80% = 72

⇒ X * 80/100 = 72

⇒ X = (72 * 100)/80

⇒ X = 90

Therefore, he made $90 last week.

To remember :

While solving this type of problems, be careful to understand which one of last time and current time is not given; just assume that one and input other conditions, the problem will be solved.

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Semenov [28]

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4 years ago

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