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Advocard [28]
3 years ago
14

PLEASE HELP WILL MARK BRAINLIEST

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

f(-4) = 5

Step-by-step explanation:

Explanation of

      _

     |   5,             x < -3

f(x) | 2x² - 4,       -3 ≤ x ≤ 4

     | 1 - 6x ,       x > 4

     _

When the x in f(x) is less than -3 than f(x) = 5

When the x in f(x) is greater than -3 but less than 4 then f(x) = 2x² - 4

When the x in f(x) is greater than 4 than f(x) = 1 - 6x

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Now that we know this lets look back at the question.

We want to find f(-4).

Looking at the piece wise function we see that f(-4) follow x < -3 as "x" or -4 is less than -3. When x is less than -3, f(x) = 5, hence f(-4) = 5

     

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If ABCD is a rectangle, calculate x as a function of α
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Answer:

Step-by-step explanation:

The length of this triangle is 10 squares

and the width is 4 squares

The diagonals divide the rectangle into four triangles

These traingles are isoceles

Each two triangles facing each others are identical

<B = 90 degree

B = alpha + Beta

Let Beta be the angle next alpha

The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:

Beta = 2x

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3 years ago
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Step-by-step explanation:

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3 years ago
The ratio 4/7 to 8/9 has the unit rate 9/14
Setler79 [48]

Answer:

Answer:

true

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
How do i calculate? All the way to s_75. It’s so long
mina [271]

Answer:

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Step-by-step explanation:

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\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

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