NEED HELP ASAP Let the function f(x) have the form f(x) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of C be?

Answer:

The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])

Step-by-step explanation:

With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².

In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².

Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as  9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].

**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!

The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

The difference of squares equation is given as:

[tex](a + b)(a - b) = a^2 -b^2[/tex]

And the radical expression is given as:

[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]

By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:

[tex]a =3[/tex]

[tex]b = \sqrt 7[/tex]

Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]

[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]

This gives

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]

By complete expansion, we have:

[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]

Hence, the equivalent expression is (c)

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Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

Answer:

904.78

Step-by-step explanation:

Answer:

the answers  is =-0

Step-by-step explanation:

is -0

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

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Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

Answer:

hi, it can be 0 or also 1

please mark as brainiest:)

Answer:

tricky

Step-by-step explanation:

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

Answer:what’s the question?

Step-by-step explanation:

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

Answer:

Part 1)

The height of the diving board is 19 feet.

Part 2)

Five seconds.

Part 3)

44 feet.

Step-by-step explanation:

Joyce's dive is represented by the equation:

[tex]h=-t^2+10t+19[/tex]

Where h represents her height (in feet) after t seconds.

Part 1)

Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:

[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]

The height of the diving board is 19 feet.

Part 2)

Since this is a quadratic, the maximum height will occur at its vertex point.

So, we need to find the vertex. We can use the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 10, and c = 19.

So, the t-coordinate of the vertex is:

[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]

Joyce will reach her maximum height after five seconds.

Part 3)

To find the maximum height, simply substitute this value back into the equation. Hence:

[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]

So, her maximum height is 44 feet in the air.

Answer:

13 quarters and 24 dimes

Step-by-step explanation:

13*.25=3.25

24*.1=2.4

3.25+2.4=5.65

Answer:

90 - 63 = 27 degree

Step-by-step explanation:

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

The second statement is the

of the first.

X = у

y = x

A. contradiction

B. inverse contrapositive

C. inverse

D. converse

Step-by-step explanation:

imverse

The second statement is the contrapositive of the first.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that x → y is a conditional statement read as 'if x then q'.

And, The converse EXCHANGES the hypothesis and conclusion such as:

⇒ y → x

And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:

⇒ ¬y → ¬x

Coming back towards the question,

Given that;

x ⇒ y

¬y ⇒ ¬x

Therefore, The second statement is the contrapositive of the first.

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Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

answer for this solution is 10 degrees

Step-by-step explanation:

sin x + cos x = 90

5x + 3x +10 = 90

x = 10