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Anika [276]
3 years ago
6

Find f(-3) if f(x) = x 2

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

The value of given function for x = - 3 is 9

Step-by-step explanation:

Given as :

The y is the function of x is as

f( x ) = x²

So, For any value of x , the value of f( x ) should change

If, x = - 3

So, f ( - 3 ) = ( - 3 )²

Or, f ( - 3 ) = ( - 3 ) × ( - 3 )

i.e f ( - 3 ) = ( - × - ) ( 3 × 3 )

Or, f ( - 3 ) = ( + ) ( 9 )

∴ f ( - 3 ) =  9

So, The value of function  f ( - 3 ) =  9

Hence , The value of given function for x = - 3 is 9  Answer

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dangina [55]

Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

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What is 362% of 19.5
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The answer is 70.59.
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A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the
Natasha2012 [34]

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

n(h)=100e^{0.25h}

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

450=100e^{0.25h}\\\\\frac{450}{100}=e^{0.25h}\\\\4.5=e^{0.25h}\\\\\text{Taking natural log 'ln' on both sides}\\\\\ln (4.5)=0.25h\\\\1.50=0.25h\\\\h=\frac{1.50}{0.25}\\\\h\approx 6\ hours

Hence, Second option is correct.

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3 years ago
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use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

#SPJ4

5 0
2 years ago
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Answer:

Make a table with values of x and y using the equation y + 3 = -1/4(x - 3) :

x         y

0     -2.25

3        -3

5      -3.5

-1       -2

-9       0

Now, graph these and draw a line through the points:

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