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4 years ago

Find the real zeros of the trigonometric function on the interval 0 ≤ x < 2π

Mathematics

2 answers:

Luda [366]4 years ago

6 0

4cos2(x)−3=0

or
4cos2(x)=3

cos(x)= √3/2

π/6, 5π/6, 7π/6, 11π/6

Romashka-Z-Leto [24]4 years ago

5 0

F(x) = 4 [cos (x)]^2 - 3 = 0

4[cos(x)]^2 = 3

cos(x) = √3 / 2

That happens in the first and fourth quadrants, for the angles 30 degrees and 330 degrees.

Answer: x = 30 degrees and x = 330 degrees

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Which is the equation of the linear model?

Zielflug [23.3K]

The answer is B. y = 0.75 + 2.25. because i've done this assement.

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3 years ago

Solve the equation -3(y-5)=24

ioda

-3(y-5) = 24...distribute through the parenthesis
-3y + 15 = 24....subtract 15 from both sides
-3y = 24 - 15
-3y = 9...divide both sides by -3
y = 9/-3
y = -3

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3 years ago

V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?

ki77a [65]

Answer:

v=-5 and v=3

Step-by-step explanation:

We are given that

$v^2-15=-2v$

We have to find two solutions of quadratic equation.

$v^2+2v-15=0$

Using addition property of equality

$v^2+5v-3v-15=0$ (By using factorization method)

$v(v+5)-3(v+5)=0$

$(v+5)(v-3)=0$

Substitute each factor equal to 0

$v+5=0$ and $v-3=0$

$v=-5$ and $v=3$

Hence, two solutions of quadratic equation are

v=-5 and v=3

8 0

3 years ago

The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?

Anit [1.1K]

For proportionality constant problems, set up the equation as,

$x=Ky$ ,

Where x and y are the two variables you are comparing and K is the proportionality constant. If we take Caramel Corn values as x and Cheddar Corn values as y, and then solve for K for each ratio lines, we will get the same answer. Let's check.

$15=K(10)\\K=\frac{15}{10}= \frac{3}{2}$ ,

$30=K(20)\\K=\frac{30}{20}= \frac{3}{2}$ , and

$45=K(30)\\K=\frac{45}{30}= \frac{3}{2}$ .

Hence, the proportionality constant, in this case K, is equal to $\frac{3}{2}$ or 1.5. First answer choice is correct.

ANSWER: 1.5

4 0

3 years ago

Read 2 more answers

What is the domain of this function?

frutty [35]

Answer:

Step-by-step explanation:

The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as

{x | x ≥ 0}

3 0

3 years ago