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VLD [36.1K]
3 years ago
5

A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

closed interval on x=3 and open at x=5

for all values between these numbers, y=3

so [3,5)

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3 years ago
Read 2 more answers
Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
Pepsi [2]

Answer:

75?

Step-by-step explanation:

1/4 = 25

25 x 3 =75

      ----

3/4=75

4 0
2 years ago
The soccer teams in a club league are ordering new jerseys. The cost is $18 per jersey plus $10 shipping per team.
Lelechka [254]

Answer:

10*7+ 18x *7 =2590

or 70 + 18x*7  =2590

Step-by-step explanation:

10*7 to find out how much the shipping costs for the 7 teams altogether

18*x  because you need to find how much the jerseys cost for all the soccer teams

then multiply it by 7 to find how many players on each team

when you solve for x you get 20

there are 20 players on each on team.

4 0
3 years ago
What is the diameter of a circle with circumference<br> C= 191 ? Leave answers in exact form.
lesantik [10]

Answer:

Diameter=60.79

Step-by-step explanation:

Solution,\\ Circumference(C)=191\\As,\\Circumference=\pi d\\191=\pi d\\\frac{191}{\pi } =d\\d=60.79718826

8 0
2 years ago
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