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DiKsa [7]
3 years ago
15

What is the vertex of the function h(x)=|x+6|+3

Mathematics
1 answer:
meriva3 years ago
8 0

Answer:

(-6, 3)

Step-by-step explanation:

The function f(x) = a |x − h| + k has its vertex at (h, k).

In this case, the vertex is (-6, 3).

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The height of a plant over 4 weeks is shown in the graph below, What is the rate of growth of the plant, in centimeters per week
mihalych1998 [28]
This would be (12-4)/4  = 8/4 = 2 (answer)
8 0
3 years ago
Show all your steps<br> 5| x | + 3 &lt; 18
Jet001 [13]

Answer:

-3 < x < 3

x is some number between -3 and 3; x cannot equal -3, x cannot equal 3

graph shown below

==============================================

Work Shown:

5|x| + 3 < 18

5|x| + 3 - 3 < 18-3 ... see note 1

5|x| < 15

(5|x|)/5 < 15/5 .... note 2

|x| < 3

-3 < x < 3 .... note 3

graph shown below

-----------

note 1: Subtract 3 fom both sides to undo the "+3"

note 2: Divide both sides by 5 to undo the multiplication

note 3: If |x| < k, for some positive number k, then -k < x < k

3 0
3 years ago
Clint randomly picks a card from a collection of eight hearts and two spades. Which situation can he represent with this simulat
lions [1.4K]
Clint randomly picks a card from a collection of eight hearts and two spades. Which situation can he represent with this simulation?

I think the correct answer for this question is :
A) randomly picking a napkin from a collection of four white napkins and one blue one

As you can see the probabilities are the same and that's how you figure your answer out.

Hope this helps!
8 0
4 years ago
Read 2 more answers
Show your work in the comments below and and the answer choice
Olegator [25]

Answer:

Your answer is A.

Step-by-step explanation:

5 x 12 = 60

5 x 6 = 30 / 2 = 15

60 + 15 = 75

4 0
4 years ago
Can you please help me with this i don’t understand
Alinara [238K]

Answer:

  (5, 2)

Step-by-step explanation:

<h3>understanding the question</h3>

The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.

Doing this requires that you ...

  • read from the graph the temperature at 2 pm
  • read from the graph the temperature at 8 pm
  • figure the temperature halfway between those values
  • express the 5 pm temperature as an ordered pair (hours, °C)

__

<h3>reading the graph</h3>

The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.

Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.

<h3>halfway temperature</h3>

The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:

  (7 +(-3))/2 = 4/2 = 2

The temperature at 5 pm is 2 °C.

<h3>coordinates</h3>

Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.

The coordinates that represent the temperature at 5 pm are ...

  (5, 2)

6 0
2 years ago
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