Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

[tex]y = (x + 4)^2-2[/tex]

[tex]\frac{3^-^4*2^3*3^2}{2^4*3^-^3}\\=\frac{3}{2}[/tex]

Answer:

Both 1 and 2

Step-by-step explanation:

Answer: f(x) = x^2 - 4*x

Step-by-step explanation:

This is a quadratic equation, that can be written in factorized form as:

f(x) = A*(x - a)*(x - b)

Where A is a real number, a and b are the roots of the equation.

In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:

a = 0

b = 4

So the equation is:

f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)

Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4

Then:

f(2) = A*2*(2 - 4) = -4

     = A*2*(-2) = -4

     = A*-4 = -4

         A = -4/-4 = 1

A = 1

Then the equation is:

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

Answer:

the answer should be 9, im not sure tho I vaguely remember this

Answer:

The shaded region is [tex]353.25m^2[/tex].

Step-by-step explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]

Answer:

Step-by-step explanation:

Shaded region is the difference in the area of the bigger circle and two smaller circles.

The shaded area:

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

Answer:

6

Step-by-step explanation:

the length  is 6 inch.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

A rectangle has a width of 3 inches and a length of x inches.

The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.

i.e. 2(3+x)=3x

x=6

hence, the length  is 6 inch.

To learn more on Area click:

brainly.com/question/20693059

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Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

34 because 50 percent of 68 is 34

Answer:

There are 34 red marbles in the bin

Step-by-step explanation:

50% is basically 1/2. So half of 68 is 34.

Answer:

Im pretty sure its 114 m^2 sorry if im wrong

Answer:

The total surface area of the figure would be 114m.

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

d-17

d=30

Replace d

30-17=13

Answer:

d-17

= 30-17

= 13

Step-by-step explanation:

Since d = 30, so d-17= 13

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]

Answer:

0.31% = 0.0031 in decimal form.

Step-by-step explanation:

Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).

Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

Answer:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,1)[/tex]        [tex]B =(2,3)[/tex]

[tex]C = (4,3)[/tex]        [tex]D = (5,1)[/tex]

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

[tex](x,y)=>(-x,y)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]

When a point is translated 2 units down, the rule is:

[tex](x,y) => (x,y-2)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]

So, the new coordinates are:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Answer:

Its - 2..................

Answer:

13

Step-by-step explanation:

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x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Answer:

substitute it into the value that they give then expand the formula which is

a^2-2ab+b^2

Step-by-step explanation:

Answer:

circumference = 21.98 feet

Step-by-step explanation:

circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet

Step-by-step explanation:

The answer is 254.57142857

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

Answer:

the answer is b) 42 + .02t

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english