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Helga [31]
3 years ago
11

Which graph represents the solution to the inequality 3 < 2- x/3 <7/2

Mathematics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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A function h(x) has zeroed at x=-6 and x=12 where does the function g(x) =h(3x) have zeroed?
saul85 [17]

Answer:.

Step-by-step explanation:.

7 0
2 years ago
[6 +(13-9)] * (18/3)
olga55 [171]

Answer:

60

Step-by-step explanation:

13-9=4

6=4=10

18/3=6

6*10=60

4 0
3 years ago
Read 2 more answers
If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?
a_sh-v [17]

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51

Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4

<span>So option “E” is correct.</span>
7 0
3 years ago
Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?
Cloud [144]

Answer:

True; quadrants I & IV

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

\sin^2 \theta +\cos^2 \theta = 1

Let us solve this equation for cosine function.

\cos^2 \theta = 1-\sin^2 \theta

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

\sqrt{\cos^2 \theta}=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=-\sqrt{1-\sin^2 \theta}, \sqrt{1-\sin^2 \theta}

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

\cos \theta=\sqrt{1-\sin^2 \theta}

Thus, the correct option is: True; quadrants I & IV


6 0
3 years ago
Read 2 more answers
A cone has a volume of 301.44 cubic yards and a radius of 6 yards. What is its height?
alexira [117]

Answer:

h≅ 8 yards

Step-by-step explanation:

Given data

Volume of cone= 301.44 cubic yards

Radius of cone= 6 yards

Required

The Height of the cone

The expression for the volume of a cone is given as

V= 1/3πr^2h

Substitute

301.44= 1/3* 3.142*6^2*h

301.44= 37.704*h

Divide both sides by 37.704

h= 301.44/37.704

h= 7.99

h≅ 8 yards

3 0
3 years ago
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