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3 years ago

Subtract -2k3 + k2 - 9 from 5k3 - 3k + 7.

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

5k3 - 3k + 7 - (-2k3 + k2 - 9)
= 5k3 - 3k + 7 + 2k3 - k2 + 9
= 7k3 - k2 - 3k + 16

bonufazy [111]3 years ago

3 0

Answer:

$7k^3-k^2-3k+16\\$

Step-by-step explanation:

we have the expression:

$5k^3-3k+7$

and we must substract the other expression:

$-2k^3+k^2-9$

so we will get the following:

$5k^3-3k+7-(-2k^3+k^2-9)$ (we put the minus sign because we are substracting)

So we solve this operation being carefull with the signs:

$5k^3-3k+7+2k^3-k^2+9\\$

and finally, joining like terms:

$7k^3-k^2-3k+16\\$

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The perimeter of the isosceles ?ABC with the base BC is equal to 40 cm. Perimeter of the equilateral ?BCD is 45 cm. Find AB and

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Answer: AB = 12.5, BC = 15

Step-by-step explanation:

Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC

3BC = 45

÷3 ÷3

BC = 15

Perimeter of ΔABC = AB + BC + AC. Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC

2AB + BC = 40

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3 years ago

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GarryVolchara [31]

Answer:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

$X \sim Unif (a=284.7, b=310.6)$

And for this case the probability density function is given by:

$f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6$

And the cumulative distribution function is given by:

$F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6$

And we want to find this probability:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

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3 years ago

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 li

masya89 [10]

Answer:

132 kilometers

Step-by-step explanation:

Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.

To find: Number of kilometers Pamela drove in 12 liters of fuel.

Solution:

It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.

So, let us assume that she can travel x kilometers in 12 liters of fuel.

By proportionality we have,

$99:9 :: x:12$

$\frac{99}{9} =\frac{x}{12}$

$11=\frac{x}{12}$

$x=12\times11$

$x=132$

Hence, she can travel 132 kilometers in 12 liters of petrol.

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