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yawa3891 [41]
3 years ago
12

The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
When x is replaced by x - h, the graph shifts h units to the right if h is positive and h units to the left if h is negative.
When y is replaced by y - k, the graph shifts k units up if k is positive, and k units down is k is negative.
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1. Scientists estimate the rate of the wildebeest running at full speed to be 66 feet per second. Write a function rule to descr
lorasvet [3.4K]

1. d. d = 66t

The maximum speed of the wildebeest is v=66 ft/s. Speed is defined as the ratio between the distance covered (d) and the time taken (t):

v=\frac{d}{t}

Re-arranging the formula, we get

d=vt

And substituting v=66 ft/s, we find

d=66t


2. c. y = 5 - n

In fact, we can check that this rule satisfies all the numbers of the sequence:

n=3 --> y = 5 - 3 = 2

n=4 --> y = 5 - 4 = 1

n=5 --> y = 5 - 5 = 0

n=6 --> y = 5 - 6 = -1


3. d. $5.50, $11.00, $16.50; E = 5.50h

In fact, if we use the rule E=5.50 h, we see that the table is completed as follows:

h=1 --> E=(5.50)(1 h)=5.50$

h=2 --> E=(5.50)(2 h)=11.00 $

h=3 --> E=(5.50)(3 h)=16.50$

h=4 --> E=(5.50)(4 h)=22.00$

h=5 --> E=(5.50)(5 h)=27.50$


4. c. if d ≥ 5 then C = 4.70d, if d < 5 then C = 4.70d - 1; $17.80, $32.90

If the number of days is more than 5, the cost is 4.70$ per day, therefore c=4.70d (where d is the number of days); if the number of days is less than 5, one dollar is returned, so the cost will be C=4.70d-1. By applying this rule, we can calculate the rental cost after d=4 days and d=7 days:

- d=4 --> c=4.70*4-1=17.80$

- d=7 --> c=4.70*7=32.90$


5. b. y = 3x + 3

In fact, we can check this is the correct rule by substituting the numbers:

x=0 --> y=3*0+3=3

x=1 --> y=3*1+3=6

x=2 --> y=3*2+3=9

x=3 --> y=3*3+3=12

x=4 --> y=3*4+3=15


7. x -2 -1 0 1 2

y (-16 ) (-6 ) (4 ) (14 ) (24 )

The rule we have to apply is:

-10x + y = 4

Re-arranging it, we can solve for y:

y = 10x + 4

So, let's substitute the different values of x:

x=-2 --> 10*(-2)+4=-20+4= -16

x=-1 --> 10*(-1)+4=-10+4= -6

x=0 --> 10*0+4= 4

x=1 --> 10*1+4=10+4= 14

x=2 --> 10*2 +4 =20+4 = 24


8. y = -5x - 1

In fact, if substitute the different values of x given by the problem, we find:

x = -2 --> y = -5*(-2) -1= 10 -1 = 9

x = -1 --> y = -5*(-1) -1 = 5 -1 = 4

x = 0 --> y = -5*0 -1 = -1

x = 1 --> y = -5*1 - 1 = -6

x = 2 --> y = -5*2 -1 = -11


5 0
3 years ago
Read 2 more answers
In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation
Aloiza [94]

a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity  =  Distance/Time

b)  the velocity is in direct proportion to distance and inverse relation to time.

c) The graph shown by velocity- time is a straight line graph.

<h3>what is algebra?</h3>

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

There is a equation we are familiar with , the equation of motion

Velocity  =  Distance/Time

Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.

So, the velocity is in direct proportion to distance and inverse relation to time.

The graph shown by velocity- time is a straight line graph.

Learn more about algebra here:

brainly.com/question/953809

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3 0
1 year ago
Tim has a box of 15Markers he gives three markers to four friends What exppresion can show the number of marker tim has left​
Elodia [21]

Answer:

15 - 3 (expression)

15 - 3 = x (equation)

Step-by-step explanation:

7 0
3 years ago
Distributive property<br> 1/2(6x-14)
stich3 [128]

Answer:

The answer is 3x−7

Step-by-step explanation:

uvu

3 0
3 years ago
Read 2 more answers
Fourteen more than three times a number is 2​
melomori [17]

<u>Answer:</u>

x = -4

<u>Step-by-step explanation:</u>

We are given the following word problem which we can solve by breaking it down into parts and translating it into numerical values:

Fourteen more than three times a number is 2​.

1. Fourteen more than ---> + 14

2. three times a number ---> 3x (assuming the number to be x)

3. is 2 ---> = 2

So combining these, we get:

3x + 14 = 2

Solving this to get:

3x = 2 - 14

3x = -12

x = -12/3

x = -4

6 0
3 years ago
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