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andre [41]
11 months ago
5

The set of data in the table below represents a linear function.

Mathematics
1 answer:
Vinil7 [7]11 months ago
8 0

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

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What are the solutions to the equation?<br> 7x^3=28x
11Alexandr11 [23.1K]

7x³ = 28x is our equation. We want its solutions.

When you have x and different powers, set the whole thing equal to zero.

7x³ = 28x

7x³ - 28x = 0

Now notice there's a common x in both terms. Let's factor it out.

x (7x² - 28) = 0

As 7 is a factor of 7 and 28, it too can be factored out.

x (7) (x² - 4) = 0

We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.

x (7) (x - 2) (x + 2) = 0

Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.

x = 0        -----> so x = 0

7 = 0       -----> no solution

x - 2 = 0   ----> so x = 2   after adding 2 to both sides

x + 2 = 0  ---> so = x - 2  after subtracting 2 to both sides


Thus the solutions are x = 0, x = 2, x = -2.

6 0
2 years ago
The population of Smallville can be found by the equation Pt) = le", where P(t) is the
pashok25 [27]

Answer:

The population of the town in the year 1962 will be 1730.

Step-by-step explanation:

The population of Smallville can be found by the equation P(t) = Ie^{rt}, where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.

Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be P(12) = 225 e^{0.17 \times 12} = 1730 (Approximate)

7 0
3 years ago
There are 125 skittles in a bag. This consists of 35 red, 25 yellow, 20 purple, 15 green and 30 orange skittles. Find the percen
tino4ka555 [31]

Answer:

red=28℅,yellow =20℅, purple =16℅, green =12℅, orange=24℅

Step-by-step explanation:

total skittles =125

now,

To find the percentage of each skittles,

red =35 (<u>3</u><u>5</u><u> </u>×100) =28 ℅

125

u can find each ℅ by same method.

hope it help u.

3 0
3 years ago
Simplify x raised ^ 5 x - 2​
MaRussiya [10]
The property x^axb makes it x^a+b so x^5x-2 ,

Therefore x^-10 is final
5 0
2 years ago
What does the point (1, 18) represent?
Zarrin [17]

Answer:

1 on the x axis, and 18 on the y axis

Step-by-step explanation:

4 0
2 years ago
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