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4 years ago

F(x)=71(0.93)^2x growth or decay

Mathematics

1 answer:

Sonja [21]4 years ago

6 0

It's decay because it's going to go down when solved. ;)

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Please answer ASAP, I would like to check my answer with someone, thank you

likoan [24]

Answer:

n = 15

Step-by-step explanation:

Since the triangles are similar the corresponding sides are in proportion, that is

$\frac{n}{6}$ = $\frac{5}{2}$ ( cross- multiply )

2n = 30 ( divide both sides by 2 )

n = 15

8 0

3 years ago

1) You have three- fourths yards of pipe. How many pieces can you cut the pipe into if each piece is one-eighth yard?

jeka57 [31]

Answer:

Step-by-step explanation:

(3/4)/(1/8)

(3/4)(8/1)

24/4

6 pieces of pipe

8 0

3 years ago

Solve this quadratic formula -3x^2 +16 +12

STALIN [3.7K]

Solve for x over the real numbers:

-3 x^2 + 16 x + 12 = 0

The left hand side factors into a product with three terms:

-(x - 6) (3 x + 2) = 0

Multiply both sides by -1:

(x - 6) (3 x + 2) = 0

Split into two equations:

x - 6 = 0 or 3 x + 2 = 0

Add 6 to both sides:

x = 6 or 3 x + 2 = 0

Subtract 2 from both sides:

x = 6 or 3 x = -2

Divide both sides by 3:

Answer: | x = 6 or x = -2/3

8 0

4 years ago

Read 2 more answers

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

decide which car is faster - a car that drives at 65 miles per hour or a car that drives at 1232 inches per second

WITCHER [35]

Answer:

The car going 1232 inches per second because 65 miles per hour is only 1144 inches per second.

Step-by-step explanation:

6 0

3 years ago