MATHEMATICS HIGH SCHOOL

Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 π ).a.π and π/3
b.π, π/3, and 5π/3
c.1 and 2π/3
d.1, 2π/3, and 4π/3
e.1, π/3, and 5π/3

Answers

Answer 1

Answer: the answer is (b) all this value of x satisfy the equation

Answer 2

Answer:

Answer:

Option B

Step-by-step explanation:

$\pi ,(\pi )/(3), and (5\pi )/(3)$

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Since there are 36 inches in one yard, how many inches are in 3 7/8 yards?
HELP ASPA WILL GIVE BRAINLISETA pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much will he make if he makes 22 deliveries in one shift? Create an equation to represent this situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain your solution.
What is the problem of this solving?!
Please help with the math problem shown in the image
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is a queen or a club. express the probability as a simplified fraction.

The data set below has an outlier.2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

Which value is changed the most by removing the outlier?

A: the range
B: the median
C: the lower quartile
D: the interquartile range

Answers

2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 2 = 12
median: 12
lower quartile: 10
interquarile range: 14 - 10 = 4

10, 10, 11, 11, 12, 12, 12, 13, 14, 14
range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range: 14 - 10.5 = 3.5

2 is the outlier.

the value that change is most is A. THE RANGE.
From 12, it became 4 when the outlier was removed from the data set.

the value that changes the most is the range

I need help for algebra 2 for simplify form for example (3x-2i)(3x+2i)

Answers

Let's start...

$(3x-2i)*(3x+2i)$

$3x*3x+3x*2i-2i*3x-2i*2i$

$9x^2+6xi-6xi-4i^2$

$9x^2-4i^2$

we don't finish it yet...

$i^2=-1$

Let's replace it

$9x^2-4*(-1)$

$\boxed{\boxed{9x^2+4}}$

$(a+b)(a-b)=a^2-b^2\n\n (3x-2i)(3x+2i)=\n 9x^2-4i^2\n \n i=√(-1)\n i^2=-1\n \n 9x^2-4\cdot (-1)=9x^2+4$

Item 1 The value of a car is $23,000. It loses 11.1% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.

Answers

Answer:

$212.8

Step-by-step explanation:

If the car loses 11.1% per year, we need to calculate how much money is that:

$23,000(11.1)/(100) = 2,553.$ ; this value is the lost per year.

Now, in order to calculate this loss per month, we divide it by 12:

$(2553)/(12) =212.75$

Hence, the monthly value decrease is $212.8, rounding it to the tenth.

As a unit rate, 137.5 miles in 2.5 hours would be _____.5.5 miles per hour
55 miles per hour
137 miles per 2 hours
343.75 miles per hour

Answers

55 miles per hour

hope this helps

Divide miles by hours
137 miles per 2 hours
so you get 55

Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

$√(19)$

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

10² = 9² + b²

100 = 81 + b²

19 = b²

b = sqrt(19) (≈ 4.36)

What does the graph tell you about the value of a in this function f(x)=a(x+k)^1/n+ca. a is greater than zero
b. it is not possible to tell weather a is greater than or less than zero
c. a is less than zero