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3 years ago

For each of the solutions of the equations find two consecutive integers between which the solution is located.

2 answers:

4 0

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

$x^2 = 3$

The solution of the equation given is:

$x = \sqrt{3}$

The squares of the integers numbers until the square root of 3 are:

$1^2 = 1$

$2^2 = 4$

Since $1 < 3 < 4$ , the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

A similar problem is given at brainly.com/question/3729492

eduard3 years ago

3 0

Answer:

Didn't you just answer the question by yourself lol

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Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa

Misha Larkins [42]

Answer:

y = 2x − 1

Step-by-step explanation:

By eliminating the parameter, first solve for t:

x = 4 + ln(t)

x − 4 = ln(t)

e^(x − 4) = t

Substitute:

y = t² + 6

y = (e^(x − 4))² + 6

y = e^(2x − 8) + 6

Taking derivative using chain rule:

dy/dx = e^(2x − 8) (2)

dy/dx = 2 e^(2x − 8)

Evaluating at x = 4:

dy/dx = 2 e^(8 − 8)

dy/dx = 2

Writing equation of line using point-slope form:

y − 7 = 2 (x − 4)

y = 2x − 1

Now, without eliminating the parameter, take derivative with respect to t:

x = 4 + ln(t)

dx/dt = 1/t

y = t² + 6

dy/dt = 2t

Finding dy/dx:

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t) / (1/t)

dy/dx = 2t²

At the point (4, 7), t = 1. Evaluating the derivative:

dy/dx = 2(1)²

dy/dx = 2

Writing equation of line using point-slope form:

y − 7 = 2 (x − 4)

y = 2x − 1

6 0

3 years ago

7.8c + 6p - 3.4c - 10

bija089 [108]

Hope this will help u...

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3 years ago

your two-day-pass to a theme park is $76.50. This is $31.41 less than your uncle's Two- Day- Pass. What is the price of your unc

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4 years ago

A participant in a 21-mile walkathon walks at a steady rate of 3 per hours. He thinks, "the relationship between the number of m

Gnom [1K]

Answer:

Yes. I agree with his claim because the equation relating the miles left to walk and the number of miles left to walk is : $y=-3t+21$

Step-by-step explanation:

Given :

It's a 21 - mile walkathon
The rate at which he is moving is 3 miles per hour.

Let the number of miles walked be $x$ ;

∴,

The number of miles ' $y$ ' left to walk will be : $y=21-x$

Thus the time ' $t$ ' for which he walked :

$t=\frac{distance}{speed} \\t=\frac{x}{3}$ :

∴

From these equations , we get :

$x=21-y\\x=3t\\21-y=3t\\y=21-3t$

Thus , when we compare this with $y=mx+c$ ,

$y=mx+c\\y=-3t+21\\m=-3,c=21$

Thus this is an equation of a Line with slope -3.

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4 years ago

Mrs.Sims cuts a melon into fifths. She gave one piece to her 4 children. she used equal amounts of the leftover melon to make 3

mestny [16]

The whole melon = 5/5

ONE piece went to four children, so

how much of the melon the children got = 1/5

5/5 - 1/5 = 4/5

With 4/5 of the melon, she made 3 fruit cups

4/5 / 3 = 4/5 x 1/3 = 4/15

so she put 4/15 of the melon in the fruit cups

4 0

4 years ago