dependent or independent

Answer:

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

Answer:

x^2-1^2

Step-by-step explanation:

formula:

(a-b)(a+b)=a^2-b^2

Answer:

B.   The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]

From inspection of the table, we can see that:

This indicates symmetry.  

The line of symmetry is the mid-point between the two x-values.

Therefore, the line of symmetry is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0).  As the function decreases as x → 0, the vertex is a maximum.

As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.

Answer:

B

Step-by-step explanation:

Finding the line of symmetry :

⇒ Two x-values have the same y-coordinate → (-5) and (-3)

⇒ This means the symmetry is exhibited and it lies between these 2 x-values

⇒ Line of symmetry : x = -4

=============================================================

Now, on plotting these points on a graph we see that this graph has a negative coefficient.

⇒ This means this graph will have a maximum point as the vertex

⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)

Hence, we can say that the maximum occurs at the function's x-intercept.

Answer:

34.48cm²

Step-by-step explanation:

Assuming the shaded area doesn't contain the triangle:

area of triangle = bh/2

area of triangle = 4(2)/2

area = 4

area of circle = πr²

area = π3.5²

area = 38.48

area of shaded = 38.48 - 4

area = 34.48cm²

Answer:

y= -1/2x+5

Step-by-step explanation:

[tex]y= 6x -4~~~~~~...(i)\\\\y = 5x -3~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~6x -4 = 5x -3\\\\\implies 6x -5x = -3 + 4\\\\\implies x = 1\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 6(1) -4 = 2\\\\\text{Hence,}~ (x,y) = (1,2)[/tex]

The  statement that best  describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.

For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.

Therefore Lines s and t are parallel.

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Answer:

0-4

derivate first

function is missing

substitute the value of X

Answer:

1/4

Step-by-step explanation:

3/4 x 2/4 = 6/24

6/24 simplified is 1/4

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Answer:

6/12 or 1/2

Step-by-step explanation:

Start by multiplying the numerators

3 x 2 = 6

Then multiply the denominators

4 x 3 = 12

Then you get your answer of 6/12

But if you want it simplified then divide both the denominator and numerator by 6 and you will get your final answer of

1/2

Hope this helped

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Answer:

equivalent. not equivalent. not equivalent

Step-by-step explanation:

Answer:

Table C

Step-by-step explanation:

The input value in Table C gives a different value in the output.

Answer:

x=36

Step-by-step explanation:

2x+2x+70+78+68=360

4x+216=360

4x=360-216

4x=144

x=144/4=36

Answer:

[tex]y=-\frac{1}{2}x+2[/tex]

Step-by-step explanation:

The equation for slope-intercept form is [tex]y=mx+b[/tex].

First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].

Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].

By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].

Answer:

16 cm²/m²

Step-by-step explanation:

The formula to find the area of a triangle is:

 Area of the triangle = [tex]\frac{1}{2}[/tex] × base × height

Where base = 8 and height = 4

 So, the area of the triangle =  [tex]\frac{1}{2}[/tex] × 8  × 4 = 16 cm²/m²

Answer:

20% of sales : $1000

and salary+commission : $1000+ 600

So total salary : $1600

Answer:

1.5:1

Step-by-step explanation:

the original answer is 12:8, so you have to simplify it down. you can get it down to 3:2 with whole numbers, but to get it down to a ratio with one, you'll have to divide each number by 2 because the bottom number is 2, so the final answer would be 1.5:1

Step-by-step explanation:

650065 = (a² + 1)(c² + 1)

and

650065 = (ac - 1)² + (a + c)² = the sum of 2 squared numbers (ac - 1)² and (a + c)².

we see that 5 and 13 and therefore 5×13=65 are all factor of 650065. and then 650065/65 = 10001.

and we know that 65 = (64 + 1) = (8² + 1)

and 10001 = (10000 + 1) = (100² + 1)

so, a = 8, c = 100

that means the 2 squared numbers summing up to 650065 are

(ac - 1)² = (8×100 - 1)² = 799² = 638,401

(a + c)² = (8 + 100)² = 108² = 11,664

650,065 = 638,401 + 11,664 = 799² + 108²

Answer:

The answer is 97

Step-by-step explanation:

According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.

9 + 2 × 42 + 6 - 2

Multiply 2 and 42 to get 84.

9 + 84 + 6 - 2

Add 9 and 84 to get 93.

93 + 6 - 2

Add 93 and 6 to get 99.

99 - 2

Subtract 2 from 99 to get 97.

97 ===> Answer

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]

Answer:

Step-by-step explanation:

perp. -4

y - 2 = -4(x - 0)

y - 2 = -4x + 0

y = -4x + 2

To solve this, we need to use our trignometric functions;

   ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

   [tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Answer:

[tex]5\sqrt2[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle so we can find all the side lengths easily.

The ratio between the base and the hypotenuse of a 45-45-90 triangle is [tex]1:\sqrt2[/tex], which means for this triangle it would be [tex]5:5\sqrt2[/tex]. This means the length of the hypotenuse is [tex]5\sqrt2\\[/tex], which is [tex]x[/tex], which is the answer.

Answer:

Step-by-step explanation:

Answer: Your answer is going to be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

1/8 is nothing but 0.125

4/.125 = 32

.125 goes into four 32 times.

An equation that describes the graph is [tex]y=-x^{2} +1[/tex]

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "

For given question,

The graph describes the parabola.

The parabola opens downward, so the equation of the parabola would be,

[tex]y=-x^{2}[/tex]

We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.

if c < 0 then the graph of the function moves down by c units.

As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,

[tex]y=-x^2+1[/tex]

Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]

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The answer is Option C) 7th graders in her school.

In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.

Answer:

She should ask the 7th graders in  the school

Step-by-step explanation:

Because their opinion is important in electing the president.

Answer:

7.070 to the nearest thousandth

Step-by-step explanation:

You could use a calculator or do it manually using long division:

61)431 .2500(7.0695 <---------Quotient

    427

        425

         367

           580

           549

              310

               305

Step-by-step explanation:

[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]

[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]

[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]

[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]

The solutions are where the red and blue lines cross each other.

Answer would be D. X ≅ 1 and x ≅ 4.2

The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.

Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞  (as the value of x decreases the value of f(x) increases) and  f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).

Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

See full question below

What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?

A) As x increases, f(x) increases. As x decreases, f(x) decreases.

B) As x increases, f(x) decreases. As x decreases, f(x) decreases.

C) As x increases, f(x) increases. As x decreases, f(x) increases.

D) As x increases, f(x) decreases. As x decreases, f(x) increases

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