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juin [17]
3 years ago
5

If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

h(x)=\log_2x

m(x)=\log_2(x+3)

The function m(x) can be written as

m(x)=h(x+3)           ...(1)

The translation is defined as

m(x)=h(x+a)+b           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=3,b=0

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

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Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath

where \Delta x=x_f-x_i, the difference in the quadcopter's final and initial positions and \Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s.

The x-component of the average velocity is 2.70 m/s, so

2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}

and the y-component is -2.50 m/s, so

-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}

4 0
3 years ago
jeremy drew a polygon with four right angles and four sides with the same length.what kind of polygon did jeremy draw?
FromTheMoon [43]
A square has 4 right angels and 4 sides with equal angels ;)
8 0
3 years ago
The Centers for Disease Control and Prevention Office on Smoking and health is the lead federal agency responsible for comrehens
storchak [24]

Answer:

a) The percentage of adults who smoke are decreasing with time. b) the equation that best described this data is y=-0.3364x+22.809 (R^2=0.859) in which y is the percentage of adults who smoke and x the number of years. c) the percentage of adults who smoke will be 19.8% and it will not meet the expected 12%, it would take 32 years to reach that value.

Step-by-step explanation:

The data can be plotted to which years is the independent variable and percentage of adults who smoke is the dependent variable. The linear trendline that described this data has a negative slope which indicates that the percentage of adults is decreasing with time. In order to determine if the OSH target is being met, the x is replaced by 9 which is the goal period of nine years. The y is 19% which is higher than the 12% goal. In order to know the period it will take to the reach the goal of 12%, the y is replaced by 12 in the curve and the x is the answer in years = 32 years.  

6 0
4 years ago
What is the value of x?<br> Enter your answer in the box.<br> X=?
Marina86 [1]

Answer:

x = 32

Step-by-step explanation:

   This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.

2x-4=60\\2x=64\\x=32

8 0
3 years ago
What does ⅔ X 15 = equal
frez [133]

Answer:

10

Step-by-step explanation:

(2/3) x (15)

is the same as

(2/3) x (15/1)

which means after you multiply them you get:

30/3

which simplifies to:

10

6 0
3 years ago
Read 2 more answers
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