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3 years ago

If x=-3 is (x-5)(x-7)<0?

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Answer: False

=============================

Replace every x with -3. Then simplify the left side.

(x-5)(x-7) < 0

(-3-5)(-3-7) < 0

(-8)*(-10) < 0

80 < 0 ... this statement is false, 80 is not smaller than 0

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(x-5)(x-7) < 0 is false when x = -3

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

3 0

3 years ago

Find the area of the regular polygon. Round to the nearest tenth.

JulsSmile [24]

Answer:

$110.9\ ft^{2}$

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

$A=\frac{1}{2} b^{2}sin(60\°)$

we have that

$b=16\ ft$

substitute

$A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}$

8 0

3 years ago

A growing farming conglomerate increases its water usage at a rate of 10% every year. If it

Elena-2011 [213]

The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.

<h3>What is the amount of water that would be used 17 years from now?</h3>

The formula for calculating the amount of water that would be needed 1 years from now:

FV = P (1 + r)^N

FV = Future value
P = Present value
R = interest rate
N = number of years

13000 x 1.1^17 = 65,708.11

To learn more about future value, please check: brainly.com/question/18760477

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2 years ago

A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the

allochka39001 [22]

Answer:

The receiver must be placed at a distance of 6.125 ft from the center.

Step-by-step explanation:

The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.

A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.

We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.

The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.

The extreme two end points becomes, (-7,2) and (7,2)

The general equation for such parabola is:

x² = 4ay

where, a is the distance from the center and the focus.

Since, (7,2) satisfy the equation so,

7² = 4a×2

a = 49 /8

Thus,

<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>

5 0

3 years ago

Yolanda needs 5 pound of ground beef to make lasagna for a family reunion. one package of ground beef weighs weighs 2 1/2 pounds

kap26 [50]

2 1/2 + 2 3/5 =
2 5/10 + 2 6/10=
4 11/10 = 5 1/10

5 1/10 - 5 = 1/10

1/10 lb left over

4 0

3 years ago

If x=-3 is (x-5)(x-7)<0?​

If x=-3 is (x-5)(x-7)<0?