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3 years ago

If g(x)=(sin6x)+3 , determine g(15)

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

6 × 15 equals 90, and the sine of 90° = 1. That gives us 1 + 3. The answer then is 4.

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Write the following: a) 16 as a fraction of 152 b) 15 as a fraction of 210

Nesterboy [21]

Answer:

$\frac{16}{152}$

$\frac{15}{210}$

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

Eva8 [605]

Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

$2x^2+5x+3=2x^2+2x+3x+3$

7. Now that the problem is written with four terms, you can factor by grouping:

$2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)$

6 0

3 years ago

X + y = 24

Masja [62]

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check: Is this true? 3(10) + 5(14) = 100 YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

8 0

3 years ago

Please solve the following questions!!

alexandr402 [8]

Answer:

3. The missing angle is 56°

4. x = 7

Step-by-step explanation:

We know sum of 3 angles in a triangle is 180°.

Looking at the top triangle, we can figure out the third angle. Let third angle be x:

85 + 35 + x = 180

120 + x = 180

x = 180 - 120

x = 60

The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.

So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:

60 + 64 + y = 180

124 + y = 180

y = 180 - 124

y= 56

This is the missing angle.

10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.

Thus we can write the equation:

(10x-5) = (8x+9)

10x-8x=9+5

2x=14

x=14/2

x=7

So x = 7

5 0

3 years ago

What number is 35% of 600

emmainna [20.7K]

35% of 600 = .35 x 600 = 210

4 0

3 years ago