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3 years ago

Which graph represents the function f(x) = |x + 3| ?

Mathematics

1 answer:

romanna [79]3 years ago

3 0

Answer:

Step-by-step explanation:

Si haces una fracción buscando su denominador te da resultados

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Substitution again help please

Vesnalui [34]

Answer:

Step-by-step explanation:

1) 4x -3

x = -7 ;

4x - 3 = 4*(-7) - 3 = - 28 - 3 = -31

x = 14 ;

4x - 3 = 4*14 - 3 = 56 - 3 = 53

x = 0

4x - 3 = 0 - 3 = -3

2) 6 -3x

x = -7 ;

6 - 3x = 6 - 3*(-7) = 6 + 21 = 27

x = 14

6 - 3x = 6 - 3*14 = 6 - 42 = -36

x = 0

6 - 3x = 6 - 0 = 6

$3) \dfrac{3x - 21}{7}\\\\x = -7\\\\\\\dfrac{3*(-7)-21}{7}=\dfrac{-21-21}{7}=\dfrac{-42}{7}=-6\\\\\\x = 14\\\\\dfrac{3*14-21}{7}=\dfrac{42-21}{7}=\dfrac{21}{7}=3\\\\\\x=0\\\\\dfrac{0-21}{7}=\dfrac{-21}{7}=-3\\\\$

$\dfrac{3x}{7}-21\\\\\\x = -7\\\\\dfrac{3*(-7)}{7}-21=-3-21=-24\\\\\\x =14\\\\\dfrac{3*14}{7}-21=3*2-21=6-21=-15\\\\\\x=0\\\\\dfrac{0}{7}-21=-21$

8 0

2 years ago

:<br> Find the area of the figure and choose the appropriate result.

Neporo4naja [7]

Answer:

41.7m²

Step-by-step explanation:

As we can see, the area of this shape is simply the sum of 3 rectangles

Rectangle A has an area of 6 times 4 or 24m²

Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²

Rectangle C has an area of 3 times 3.8 or 11.4m²

Adding that up gives 41.7m²

4 0

3 years ago

Read 2 more answers

In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately, the

horrorfan [7]

Answer:

3.04m

Step-by-step explanation:

Time taken to swing the rope = 3.5s

Length of the rope = L

T = 2π√(L / 9.8)

3.5 = 2π√(L / 9.8)

take the square of both sides

(3.5)² =[2π√(L/9.8)]²

12.25 = 39.48 × (L / 9.8)

12.25 = 39.48L / 9.8

39.48L = 12.25 × 9.8

39.48L = 120.05

L = 120.05 / 39.48

L = 3.04m

The length of the rope is 3.04m

7 0

3 years ago

Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat

Anarel [89]

Given:

Number of times Jenna feeds her cat = 2

Cat food each time $=\dfrac{3}{4}\text{ can}$

Number of days = 5

Number of cans she bought = 8

To find:

Did Jenna buy enough cat food.

Solution:

Required food for each time $=\dfrac{3}{4}\text{ can}$

Jenna feeds her cat twice a day.

Required food for a day $=2\times \dfrac{3}{4}\text{ can}$

$=\dfrac{3}{2}\text{ can}$

Required food for 5 days $=5\times \dfrac{3}{2}\text{ can}$

$=\dfrac{15}{2}\text{ can}$

$=7.5\text{ can}$

Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.

7 0

3 years ago

How do I solve this problem?<br><br> 6x + 9 <7x

Makovka662 [10]

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .

-6x -6x <---- Subtract 6x from both sides.

9 < x <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

7 0

3 years ago