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AveGali [126]
3 years ago
12

What are two whole numbers the square root of 96 lies between ?

Mathematics
1 answer:
Grace [21]3 years ago
6 0
The two whole numbers of the square root of 96 lies between is 9 an 10
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Please help me with this math problem!! Will give brainliest!! :)
lora16 [44]

Answer:

2x^3-3x^2-10x+15\\

Step-by-step explanation:

To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

(fg)(x)=(-2x+3)(5-x^2)=-10x+2x^3+15-3x^2\\

If we reorder the terms to go from highest degree to lowest, we get our final answer to be the following:

2x^3-3x^2-10x+15

6 0
1 year ago
7.6 cm<br> 3.7 cm<br> Find the area of the parallelogram.
Alik [6]

Answer:

7cm²

Step-by-step explanation:

4 0
3 years ago
Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
"Negative three<br> times a number<br> increased by<br> seven is less<br> than -11
cluponka [151]

Answer: Yes

Step-by-step explanation: Calculator

5 0
3 years ago
Can someone help me and show your work thanks
GREYUIT [131]

Answer:

D) $8.20

Step-by-step explanation:

82 x 0.1 = 8.2

4 0
3 years ago
Read 2 more answers
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