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Vsevolod [243]
3 years ago
9

Consider the equation y=sqrtx and y=x^2-1

Mathematics
2 answers:
Ghella [55]3 years ago
7 0
The correct answer is 1.5,1.2
the x value should be positive because it's under the sqrt.
the y value is also positive from the first equation.
77julia77 [94]3 years ago
3 0

Answer:

(1.5 , 1.2)

Step-by-step explanation:

we are given system of equation as

y=\sqrt{x}

y=x^2-1

we can set them equal

and then we can solve for x

y=x^2-1=\sqrt{x}

we can take square both sides

\left(x^2-1\right)^2=\left(\sqrt{x}\right)^2

now, we can simplify it

x^4-2x^2+1=x

x^4-2x^2-x+1=0

now, we can draw graph and find x-intercept

so, x-intercepts are

(0.525,0)

(1.49,0)

now, we can find y-value

At x=1.49

y=1.49^2-1

y=1.2

So, point is (1.49 , 1.2)

or

(1.5 , 1.2)

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Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      27

10                           {}     21

15                           {}     16

20                           {}    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      40.2

10                           {}    46.3

15                           {}    53.2

20                           {}    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

4 0
3 years ago
How do you spell 4.10 as a word form
Hoochie [10]
Hello there. ;D

How do you spell 4.10 as a word form
Answer: four and ten hundredths.<span>
</span>
8 0
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A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t
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Answer:

ANSWER LINK

8 0
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I don't have a calculator with me, but that should get you going

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Find the product of A(8 + 3).<br> O 413 +673<br> O 2/3 +6<br> 82 +63<br> 4V2 +6
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Answer:

4V2 +6


step-by-step- Anawer


V4 = 2

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