So it is asking you to group like term so
x terms can be grouped/added/subtracted to other x terms, but not to x^2 or x^3 terms
x^2 terms to x^2 and so on so
1. 9-3k+5k=
9+(5k-3k)=
9+2k
2. k^2+2k+4k=
k^2+(2k+4k)=
k^2+6k=
<span><span>If one variable is always the product of the other and a constant, the two are said to be directly proportional. <span>x and y</span> are directly proportional if the ratio <span>y/x</span> is constant.</span><span>If the product of the two variables is always a constant, the two are said to be inversely proportional. <span>x and y</span> are inversely proportional if the product xy is constant.</span></span>In mathematics<span>, two variables are </span>proportional<span> if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the </span>coefficient<span> of proportionality or </span>proportionality constant<span>.
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Answer:
Step-by-step explanation:
A geometric sequence is a sequence in which the successive terms increase or decrease by a common ratio. The formula for the nth term of a geometric sequence is expressed as follows
Tn = ar^(n - 1)
Where
Tn represents the value of the nth term of the sequence
a represents the first term of the sequence.
n represents the number of terms.
From the information given,
r = 1/3
T3 = - 81
n = 3
Therefore,
- 81 = a× 1/3^(3 - 1)
-81 = a × (1/3)^2
-81 = a/9
a = -81 × 9 = - 729
The exponential equation for this sequence is written as
Tn = - 729 * (1/3)^(n-1)
Answer: Total cost =$24338.95
Step-by-step explanation:
The new car costs $19,820.00.
He has to pay 17.25% in taxes based off the cost of the car. This means 17.25% of $19,820.00
=(17.25/100)×19,820.00
=0.1725 ×19820.00 = $3418.95
Cost of taxes = $3418.95
If he also purchases an extended warranty for $1,100.00
Cost of taxes plus extended warranty
= $3418.95 + $1,100.00 = $4518.95
what is a reasonable estimate for the total price of the car? This means the actual cost of the new car + Cost of taxes + cost of extended warranty.
Total cost = $19,820.00 +$3418.95 + $1,100.00= $24338.95
Answer:
1) The equation of the line of best fit is y = 0.3·x + 5
2) The time it would take a player that can complete 22 leg press repetitions to run 40 yards is 11.6 seconds
Step-by-step explanation:
1) The given data are;
Leg press (Reps): 
40-yard Dash Time
12 8.6
32 14.6
7 7.1
11 8.3
23 11.9
28 13.4
15 9.5
From the attached graph we observe that with the data sorted in increasing order, there is a linear relation between the number of leg presses and the time to complete a 40 yard dash
The slope = (14.6 - 7.1)/(32 - 7) = 0.3
The equation of the line of best fit is the linear equation of the data given in point and slope form as follows;
y - 7.1 = 0.3×(x - 7)
y - 7.1 = 0.3·x - 2.1
The equation of the line of best fit is therefore;
y = 0.3·x + 5
Where;
y = The time to complete the 40-yard dash
x = The number of leg press completed
2) When x = 22, we have;
y = 0.3 × 22 + 5 = 11.6 seconds
If a player can do 22 leg-press repetitions, it would take the player 11.6 seconds to complete the 40 yard-dash.
