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2 years ago

Let f(x)=3x^2−2x+1. What is the value of f(−4)? −55 −49 41 57

Mathematics

1 answer:

dalvyx [7]2 years ago

3 0

Answer:

Step-by-step explanation:

$f(x)=3x^2-2x+1;f(-4)$

Let $x=-4$

$3(-4)^2-2(-4)+1$

$48-\left(-8\right)+1$

$57$

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You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0

3 years ago

Which equation is the inverse of y = 2x^2 - 8?

evablogger [386]

Answer: A

Step-by-step explanation:

$y=2x^2-8$

1. Swap x and y.

$x=2y^2-8$

2. Solve for the new y.

Add 8

$x+8=2y^2$

Divide by 2.

$\frac{x+8}{2}=y^2$

Extract the square root.

$\sqrt{\frac{x+8}{2} }=y$

6 0

3 years ago

Pirate Kenny washes his trousers every five months. He washes his hat every seven months. He washes both his trousers and his ha

Ipatiy [6.2K]

Answer:

If you're going by washes, <u>6 washes </u>

Step-by-step explanation:

h: 7, 2, 9, 4, 11, 6, 1, 8

t : 5,10,3,8,1,6

6 0

3 years ago

Help with 8 and 9??? Please help me out! Correct answers please

Ipatiy [6.2K]

Answer:

8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

9. f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

9. Substituting the definition of g(x) into the expression for f(x), we get ...

$\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}$

4 0

3 years ago

Which number is a factor of 22 but not a multiple of 2???

mojhsa [17]

Answer:

1 times 22

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers