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Tems11 [23]
3 years ago
6

Please need help on this

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer:

The first one is not a function

The second is a function

Third not a function

Fourth is a function

Step-by-step explanation:

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Find the range for f(x) = x^2 1, for x &lt; 0.<br><br> y ≥ 1<br> y &gt; 1<br> y &lt; 1<br> y ≤ 1
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For x < 0, range is y ≤ 1.
3 0
3 years ago
Please help I really need it on this one thank you
Bond [772]
(-7) * 8 = -56

answer
A. -56

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3 years ago
In how many arrangements can 3 boys and 4 girls stand in a row such that no two boys are together?
Sophie [7]

Answer: 1440

Step-by-step explanation:

To arrange 3 boys and 4 girls such that no two boys are together.

Since boys should be arranged between the girls.

So first arrange the girls.

Assume that the girls are placed, then there will be 5 spaces left for 3 boys.

The number of combinations to fill these places = ^5C_3=\dfrac{5!}{3!2!}=\dfrac{5\times4}{2}=10

Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways

4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways

Then, the total number of arrangements = 10 x 6 x 24 = 1440

Hence, the required number of arrangements = 1440

5 0
3 years ago
Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2​
Nostrana [21]

Answer:

24

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

24

8 0
3 years ago
PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the
EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
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