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scoundrel [369]

3 years ago

6

Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t s

quared, dt is concave up. (10 points)

1 answer:

rewona [7]3 years ago

6 0

Answer:

Interval: (-3/2, ∞)

Explanation:

Let me double check.

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Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +

Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

<em><u>Solution:</u></em>

<em><u>Given equation of circle:</u></em>

$x^2 + y^2 -14x + 2y -25 = 0$

Let us first calculate center and radius and find out where he did the mistake

<em><u>Step 1:</u></em>

Group the terms

$x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25$

<em><u>Step 2:</u></em>

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1$

But homers step 2 is:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25$

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75$

Comparing general equation of circle,

$(x-h)^2 + (y-k)^2 = r^2$

Therefore, center is ( 7, -1) and radius is 8.66

8 0

3 years ago

Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72

inysia [295]

For the answer to the question above, she can buy 24 video games

Because she bought a CD on her savings, we must deduce the cost of the CD from her 1,128 savings
1128 - 72=1056

Then just divide the difference to how much each videogame cost
1056 / 43 = 24

So the answer is she can buy 24 videogames.

3 0

3 years ago

Read 2 more answers

Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8

Rama09 [41]

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

3 0

3 years ago

The closure property states that the sum of two polynomials is a .

bija089 [108]

Is a polynomial

hope this helped

8 0

3 years ago

What is 20 5/81 in simplest form

Marizza181 [45]

20 5/81 in its simplest form is 20 5/81.

20 5/81 originally looks like this ⇒ 1625/81

((20 * 81)+5)/81 = (1620+5)/81 = 1625/81 * this is an improper fraction because the numerator is greater than the denominator. Improper fractions must be converted to proper fractions. It will then become a mixed fraction.

<u> 0020 5/81</u>
81 | 1625
<u>162 </u> * 81 x 2
05

5 0

2 years ago