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aalyn [17]
2 years ago
12

Evaluate the polynomial for the given value of x: f(x) =3x^3+5x^2+x-2 when x=2

Mathematics
1 answer:
sasho [114]2 years ago
3 0

Answer: f(2)=44

Step-by-step explanation:

Given the polynomial f(x) =3x^3+5x^2+x-2, you can evaluate it for the given value of the variable "x" by substituting the value x=2 into the polynomial.

Therefore, when x=2,  you get the following result:

f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44

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If x^2 = 16(5), then x =
Bogdan [553]

Answer:

4\sqrt{5} or 8.944

Step-by-step explanation:

x^{2} = 16(5)

Simplify

x^{2} =80

Square root both sides to get x by itself

\sqrt{x^{2} } =\sqrt{80}

4\sqrt{5} or 8.944

6 0
3 years ago
Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
kobusy [5.1K]

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

3 0
2 years ago
Which expression is equivalent <br> to 5.7 × 5.7 × 5.7?
Burka [1]
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4 0
2 years ago
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Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se
Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, \frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}

We get, eliminating the cosecant function,

\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. \frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}

i.e. \frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}

Since, we know that, \sin^{2}x+\cos^{2}x=1

Thus,

\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0
3 years ago
(-10)³ * 3 * 2 * (-7 ) <br> Please help
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Answer:

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Step-by-step explanation:

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