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1 year ago

Which statement about the function f(x)=|x+3| is true?

Mathematics

1 answer:

Stels [109]1 year ago

5 0

The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

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HURRY PLS HELP ILL GIVE BRAINLYEST Subtract.

natka813 [3]

Answer:

2940

Step-by-step explanation:

You are subtracting a negative number. "Minus a negative is plus."

525 - (-2415) = 525 + 2415 = 2940

6 0

3 years ago

Read 2 more answers

Mrs. Bailey gives a test, and her students’ scores range from 30 to 70. She decides to curve the scores, so that they range from

Harman [31]

Answer:

f(x) = x*3/4 + 42.5

Step-by-step explanation:

The original difference between the pair is 70 - 30 = 40

The new difference between the pair is 95 - 65 = 30

Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4

Then 30 * 3/4 = 22.5

Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95

Therefore, f(x) = x*3/4 + 42.5. We can test that

f(30) = 30*3/4 + 42.5 = 65

f(70) = 70*3/4 + 42.5 = 95

8 0

3 years ago

An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Comp

andreyandreev [35.5K]

The next five sequence based on the information about the square will be 36, 49, 64, 81 and 100.

<h3>How to illustrate the information?</h3>

From the information, it was stated that an ancient culture labeled certain numbers as square numbers and that the numbers 1, 4, 9, 16, 25, and so on are square numbers.

It should be noted that the number given are squares of 1,2,3...

Therefore, the next five sequence will be:

6 × 6 = 36

7 × 7 = 49

8 × 8 = 64.

9 × 9 = 81

10 × 10 = 100

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An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Describe the procedure to determine the next five sequence.

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2 years ago

Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'

Virty [35]

Scale factor is a ratio. The correct option is C.

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

$\rm 1\: ft : \dfrac{s}{k}\: in.$

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

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8 0

2 years ago

Can you please help???

marusya05 [52]

Answer:

2 or 3 I think

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3 years ago