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Kobotan [32]
3 years ago
13

Given the equation y = 3x - 2, do the following: a. On a separate sheet of paper, complete the table of ordered pairs. If 3(1)-

2 = 1 for x = 1, show your work in the box below for x = 2, 3, 4.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
Y = 3x - 2 
I assume this is what they mean;
3(1)- 2 = 1 for  <span><span>x = 1

</span>Fill in the x's with the following numbers. so first... (x = 2)
</span>y = 3x - 2  
     3(2) - 2
multiply 3 and 2 and then minus 2
which equals 4 all together
y=4 
therefore; 
3(2) - 2 =  4

For x = 3
Fill in the x with 3 in the equation
3x - 2 = y
3(3) - 2 = y 
9 - 2 = y
equals 7
so...
3(3) - 2 = 7

Do the same rule with number 4 :) 
Let me know if it's different from what you're learning 

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Javier shared his post with 4 friends, who each shared it with 4 more friends. They continued sharing at the same rate
Fittoniya [83]

First, 4 people know the post

Then, those 4 people share it each with 4 people (4 * 4 = 16)

Then, each of those people share it with another 4 people (16 * 4 = 64)

And so on. the function is as simple as: 4^x (4 to the power of x)

4 0
3 years ago
HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked
Vinil7 [7]

Answer:

1.  $33,000

2.  $6077.53

3.

a)  2.72 seconds

b)  0.96 seconds

4.  189 square meters

5.

a)  Average Rate of Change = 4 pounds per week, or -4

b)  160 pounds (after 5 weeks)

6.  

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

1.

The value of a tractor V(t) decreases over time, t. Its value is given by:

V(t)=55000-5500t

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000

The value of the tractor after 4 years is <u>$33,000</u>

<u></u>

2.

The value of investment that is growing each year, is given by:

f(n)=5000(1.05)^{n}

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53

To the nearest cent, the value of the investment would be:

<u>$6077.53</u>

<u></u>

3,

The time it takes of pendulum to make one swing is given by the formula:

T(L)=2\pi \sqrt{\frac{L}{32}}

Where L is the length of the pendulum in feet

a)

If L = 6ft, the time it will take is:

T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72

About <u>2.72 seconds</u>

<u></u>

b)

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96

So, it will take about <u>0.96 seconds</u>

<u></u>

4.

The area of weed after t days can be modeled by:

A(t)=0.006 \pi t^2

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5

Rounded to nearest sq. m, we have the area to be:

<u>189 square meters</u>

<u></u>

5.

a)

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

<u>Average Rate of Change = 4 pounds per week, or -4</u>

<u></u>

b)

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = <u>160 pounds (after 5 weeks)</u>

6.

The Karvonen formula is given as:

T=p(220-A)+H(1-p)

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

<u>Independent Variables = p, A, and H</u>

<u>Dependent Variable = T</u>

<u></u>

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

T=0.65(220-35)+60(1-0.65)\\T=141.25

<u>The target heart rate should be:  141 beats per minute (rounded to nearest whole number)</u>

<em><u /></em>

<em><u /></em>

3 0
3 years ago
Help this is due in 1 hour .
olga55 [171]

Answer:

b

Step-by-step explanation:

just out b i dont have time to explain

4 0
3 years ago
Read 2 more answers
Can anyone help me to solve this please?? ​
andre [41]

Answer:

Step-by-step explanation: explique melhor

7 0
2 years ago
Solve for b? Please !!
____ [38]

Answer:

b= 10.58

Step-by-step explanation:

4 0
3 years ago
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