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elena-s [515]
3 years ago
13

Study the function 4+3 - 8

Mathematics
2 answers:
suter [353]3 years ago
5 0

Answer:

the answer is negative 1

kap26 [50]3 years ago
5 0

Answer:

the answer is -1

Step-by-step explanation:

You might be interested in
From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
2 years ago
Trigonometry<br> Special Right Triangles<br> Find the exact value of sec 60* - cosec 30* - sin 0*.
evablogger [386]

Answer:

0

Step-by-step explanation:

cos(60) = ½

sec(60) = 2

sin(30) = ½

cosec(30) = 2

sin(0) = 0

2 - 2 - 0 = 0

8 0
3 years ago
What is the answer to [(x²+4x)-2]²
Rudik [331]

Answer:

x^{4} + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

6 0
3 years ago
19, find the direction angle of vector v to the nearest tenth of a degree
labwork [276]
The vector v is given by:
 v = (7, 2) - (-5, 0)
 v = ((7 - (- 5)), (2-0))
 v = ((7 + 5), 2)
 v = (12, 2)
 Then, the angle is given by:
 tan (theta) = 2/12
 theta = atan (2/12)
 theta = 9.46 degrees
 Answer:
 
The direction angle of vector to the nearest tenth of a degree is:
 
theta = 9.5 degrees
6 0
3 years ago
Solve the following inequality algebraically.<br> x + 2 &lt; 11
Pachacha [2.7K]

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

7 0
2 years ago
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