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3 years ago

Given that F(x) =x^2+2, evaluate F(2)

Mathematics

1 answer:

maria [59]3 years ago

5 0

Answer:

F(2) = 6

Step-by-step explanation:

Given that F(x) =x^2+2, evaluate F(2).

The above equation is a function of x

Such that for every value of x at a given time, the equation results to equation takes a different value at that time. For every value of x, the value is simply substituted into the equation to find the solution of the equation at that point. The above equation is a quadratic function since the highest power of x is 2.

F(x) =x^2+2,

To evaluate F(2),

Substitute x = 2 in equation x^2+2

It becomes

2^2 + 2 = 4 + 2 = 6

So F(2) = 6

You might be interested in

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

4 0

2 years ago

Please help me ....... ........

sammy [17]

Answer:

y = 6x - 4

Step-by-step explanation:

slope (m) is 6

y intercept (b) is -4

plug values into y = mx + b:

y = 6x - 4

6 0

3 years ago

Read 2 more answers

B. x + 5y = 8<br>-x + 2y = -1

igomit [66]

Answer:

(3, 1)

Step-by-step explanation:

x+5y=8

-x+2y=-1

-------------

7y=7

y=7/7=1

x+5(1)=8

x+5=8

x=8-5=3

Answer: x=3, y=1.

8 0

3 years ago

You deposit $400 each month into an account earning 8% interest compounded monthly. Round to the nearest cent as needed. a) How

Debora [2.8K]

If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.

Calculating the Sum of Money in 35 years

Given information is as follows,

Principal, P = $400

Rate = 8%

Time, T = 35 years

n = 12 (Compounded monthly)

The amount for compound interest is given as,

A = $P\frac{(1+\frac{R}{n} )^{nT} -1}{R/n}$

A = $400\frac{(1+\frac{0.08}{12} )^{12.35} -1}{0.08/12}$

A = 6,517.02

A = $6,517 (to the nearest cents)

Calculating the Amount Put in Account

Since, $400 is deposited every month for 35 years,

Amount Put in 35 years for this compound interest =$400 × 12 × 35

= $168,000

Calculating the Compound Interest

A = P + CI

Thus, the compound interest is given by,

CI = A - P

CI = 6517 - 400

CI = $6,117

I will earn a total interest of $6,117

Learn more about compound interest here:

brainly.com/question/14295570

#SPJ1

7 0

2 years ago

Whether the expressions 2. 7y - 15 + 2y and 9y 15

ivanzaharov [21]

Answer:

7y-15+2y= 9y-15

9y-15

.....

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers