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3 years ago

Given the polynomial function below, find F(-1). F(x) = -x ^3 - x ^2 + 1

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

Answer:

$f(-1) = 1$

Step-by-step explanation:

Given

f(x) = $-x^{3}-x^{2} +1$

Finding f(-1) means, we have to put -1 in the places of x in the function,

So, putting x=-1 in the function

$f(-1) = (-1)^{3} - (1)^{2} +1$

As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,

=> $-1-1+1$

=> 1

Hence,

$f(-1) = 1$

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A bank offers two different types of interest on saving accounts

goldenfox [79]

Answer:

(a) The closet to the simple interest eaened in 5 years is $275.00.

(b) The closet to the compound interest earned in 5 years is $276.28.

Step-by-step explanation:

These can be determine as follows:

(a) Simple Interest

The interest earned and be determined using the simple interest formula as follows:

Simple interest = P * R * T ....................... (1)

Where;

P = Principal = $1,000

R = interest rate = 5.5%

T = term = 5

Substituting the values into equation (1), we have:

Simple interest = $1,000 * 5.5% * 5 = $275.00

(b) Compound Interest

The interest earned and be determined using the compound interest formula as follows:

Compound interest = P(1 + R)^T - P ....................... (2)

Where;

P = Principal = $1,000

R = interest rate = 5%, or 0.05

T = term = 5

Substituting the values into equation (2), we have:

Compound interest = $1,000(1 + 0.05)^5 - $1,000 = ($1,000 * 1.05^5) - $1,000 = ($1,000 * 1.2762815625) - $1,000 =$1,276.28 - $1,000 = $276.28

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3 years ago

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(3/4 x - 1) + (3/4 x - 2)

jek_recluse [69]

I'm going to show you step by step. I posted 2 pictures of the work

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4 years ago

The probability that Caroline wins a raffle is given by the expression

RSB [31]

Answer: $\frac{n-m}{n}$

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

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

Explanation:

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For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

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3 years ago

2. If log10 x = 2, then x is<br> a. 4<br> b. 20<br> c. 100<br> d. 1000

kherson [118]

Answer:

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

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Setler [38]

Switch numerator and denominator:

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