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2 years ago

Use the function f(x)=2x^3-3x^2+7 to complete the exercises

2 answers:

8 0

To answer this set of questions, all we have to do is just to substitute the value of x in F(x) to the given f(x) equation.

By substitution and following PEMDAS rule:
F(-1)=2(-1)³-3(-1)²+7=5

F(1)=2(1)³-3(1)²+7=6

F(2)=2(2)³-3(2)²+7=11

Therefore the answers are 5, 6 and 11.

Gre4nikov [31]2 years ago

3 0

Answer:

f (-1)= 2

f (1)= 6

f (2)= 11

Step-by-step explanation:

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Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript

makkiz [27]

The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}$

Solving the first part of the question by indices,

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = (-3)^{3-5}(2)^{6-2} = (-3)^{-2}(2)^{4} = \dfrac{(2)^4}{(-3)^2}$

Comparing the rightmost term with the second term in the question,

a = 4, b = 2

Solving on,

$\dfrac{(2)^4}{(-3)^2} = \dfrac{(2)\times(2)\times(2)\times(2)}{(-3)\times(-3)} = \dfrac{16}{9}$

Comparing with the final term in the question,

c = 16 and d = 9

Therefore,

a = 4, b = 2, c = 16, d = 9

3 0

2 years ago

Read 2 more answers

Mr. Bond's monthly income is Rs. 2400 and his monthly expenditure on rent is Rs.250. The central angle of the sector representin

aniked [119]

Answer:

$x = 37.5^{\circ}$

Step-by-step explanation:

The central angle of the sector representing rent expenses in the pie chart is found by simple rule of three:

$x = \frac{Rs. 250}{Rs. 2400}\times 360^{\circ}$

$x = 37.5^{\circ}$

8 0

2 years ago

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made

il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

$Amount = P(1 + \frac{r}{2} )^{2t}$

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle = $2,900

5.5% is written in the decimal form.

$= \frac{5.5}{100}$

= 0.055

Time = 1 year

Put in the formula

$Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}$

$Amount = 2900\times (1 + 0.0275 )^{2\times 1}$

$Amount = 2900\times (1.0275)^{2}$

$Amount = 2900\times 1.056\ (Approx)$

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4

Principle = $2,900

Put in the above

$3062.4 = $2,900 + Compound interest

Compound interest = $3062.4 - $2,900

Compound interest = $162.4

8 0

2 years ago

Two cards are drawn at random with replacement. Find P(not blue, then pink). (Remember, percent is a fraction with 100 in the de

Nuetrik [128]

<h3>Answer: 32%</h3>

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

Explanation:

There are 10 cards total. Of which, 8 are not blue. You can think of it as "there are 2 blue, so 10-2 = 8 are not blue", or you can count out the non-blue cards. The first option is faster in my opinion.

The probability of not getting blue is 8/10 = 0.80

After picking a first card and then putting it back, we will still have 10 cards. There are 4 pink cards out of this total, so 4/10 = 0.40 is the probability of getting a pink card.

--------

Multiply the two values we found earlier

0.80 * 0.40 = 0.32 = 32/100 = 32%

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to the given polynomial expression?

ivolga24 [154]

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

6 0

2 years ago