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Aleonysh [2.5K]
4 years ago
9

Find the constant of proportionality for the table and write in the form y = kx.

Mathematics
1 answer:
atroni [7]4 years ago
6 0

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

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The cost of a customer smartphone bill can be modeled by the equation c=10g+50
Vika [28.1K]

Answer:

c=10(g+5)

Step-by-step explanation:

Given that,

The cost of customer smartphone bill is given by the equation as follows :

c=10g+50

Where

g is the number of gigabits of data the customer per month

We need to factor this cost polynomial

The common between 10 and 50 is 10

Taking 10 common. So,

c=10(g+5)

Hence, the required factor is equal to c=10(g+5).

6 0
3 years ago
What is a factor of 15 but not a multiple of 3
11111nata11111 [884]
45
15 is a multiple of 3
30 is a multiple of 3
45 is NOT a multiple of 3
60 is a multiple of 3
Ect.
7 0
3 years ago
If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

6 0
3 years ago
Total Cost (in dollars)
Crank
This problem has been solved! See the answer Determine Um (mode ), average U, and Urms for a group of ten automobiles clocked by radar at speeds 38,44,48,50,55,55,57,58 and 60mi/h respectively
6 0
3 years ago
A manufacturer produces safety jackets for competitive fencers. These jackets are rated by the minimum force, in newtons, that w
Bumek [7]

Answer:

0

Step-by-step explanation:

H0 : μ = 840

H1 : μ < 840

Sample size, n = 49

Standard deviation, s = 14

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (830 - 840) ÷ (14/7)

Test statistic = - 10 / 2

Test statistic = - 5

The Pvalue ;

Pvalue = P(Z < - 5) = 0 (Z probability calculator)

The Pvalue = 0

7 0
3 years ago
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