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sergij07 [2.7K]
3 years ago
11

Using the sum or difference formulas,how do we find the exact value of sin (285°)?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
See attachment for the answer:

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Compare the functions shown below:<br><br> Which function has the greatest maximum y-value?
solmaris [256]
Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3

The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.

For h(x), the max occurs when cosine is at its largest: when cos(x) = 1. 
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well

--------------------------------

Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2

3 0
3 years ago
Read 2 more answers
How would I solve this
Feliz [49]
What are you solving for???
3 0
3 years ago
Read 2 more answers
On Halloween Kaleb scored 20 pieces of gummi candy. He got 3 times as much sugar candy and 6 times as much chocolate candy. How
myrzilka [38]

Answer:

200 pieces

Step-by-step explanation:

20+60+120=200

7 0
3 years ago
3a x 5b x 7c = 39375, then find value of 7a - 2b + 3c​
garik1379 [7]

Answer:

Step-by-step explanation:

Simplifying

(7a + -2b) + -1[2(3a + -1c) + -3(2b + -3c)] = 0

Remove parenthesis around (7a + -2b)

7a + -2b + -1[2(3a + -1c) + -3(2b + -3c)] = 0

7a + -2b + -1[(3a * 2 + -1c * 2) + -3(2b + -3c)] = 0

7a + -2b + -1[(6a + -2c) + -3(2b + -3c)] = 0

7a + -2b + -1[6a + -2c + (2b * -3 + -3c * -3)] = 0

7a + -2b + -1[6a + -2c + (-6b + 9c)] = 0

Reorder the terms:

7a + -2b + -1[6a + -6b + -2c + 9c] = 0

Combine like terms: -2c + 9c = 7c

7a + -2b + -1[6a + -6b + 7c] = 0

7a + -2b + [6a * -1 + -6b * -1 + 7c * -1] = 0

7a + -2b + [-6a + 6b + -7c] = 0

Reorder the terms:

7a + -6a + -2b + 6b + -7c = 0

Combine like terms: 7a + -6a = 1a

1a + -2b + 6b + -7c = 0

Combine like terms: -2b + 6b = 4b

1a + 4b + -7c = 0

Solving

1a + 4b + -7c = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4b' to each side of the equation.

1a + 4b + -4b + -7c = 0 + -4b

Combine like terms: 4b + -4b = 0

1a + 0 + -7c = 0 + -4b

1a + -7c = 0 + -4b

Remove the zero:

1a + -7c = -4b

Add '7c' to each side of the equation.

1a + -7c + 7c = -4b + 7c

Combine like terms: -7c + 7c = 0

1a + 0 = -4b + 7c

1a = -4b + 7c

Divide each side by '1'.

a = -4b + 7c

Simplifying

a = -4b + 7c

8 0
3 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
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