The graph of y = f(x) is shown below. Find the value of ƒ (-2).

Answer:

[tex]\huge\boxed{SA=1960cm^2}[/tex]

Step-by-step explanation:

We have:

The formula of an area of

[tex]A_\triangle=\dfrac{a\cdot b}{2}[/tex]

a, b - legs

[tex]A_{\square}=a\cdot b[/tex]

Calculate:

Rectangular triangle

[tex]A_\triangle=\dfrac{20\cdot21}{2}=210(cm^2)[/tex]

Rectangles:

[tex]A_{\square1}=20\cdot22=440(cm^2)\\\\A_{\square2}=21\cdot22=462(cm^2)\\\\A_{\square3}=29\cdot22=638(cm^2)[/tex]

Total surface:

[tex]SA=2A_\triangle+A_{\square1}+A_{\square2}+A_{\square3}\\\\SA=2\cdot210+440+462+638=1960(cm^2)[/tex]

Answer:

0.00790625

Step-by-step explanation:

499.9997656975

Astronomical unit

=

0.00790625

Light-year

Formula

for an approximate result, divide the length value by 63240

Answer:

-163

Step-by-step explanation:

-2,-25,-163

-2×6=-12 -12-13=-25

-25×6=-150 -150-13=-163

Answer:

The third term is = -163

Step-by-step explanation:

The first term is = -2

The second term = -2 ×6 = -12 Then - 13 = - 25

The second term = - 25

The third term = -25 × 6 = - 150 Then -13 = -163

The third term is -163

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The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)

In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:

[tex]y = A\cdot e^{B\cdot x} + C[/tex]     (1)

(1) is an exponential parent function for A = 1, B = 1 and C = 0.

All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are [tex]\mathbb{R}[/tex] and y ≥ 0, respectively. (Correct choice: C)

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Answer:

please see analysis

Step-by-step explanation:

Reason

1.) given

2.) definition of amptimentaly angle LS

3.) substitution property

4.)definition of amptimentaly angle

Answer:

40 45 because the minimum internal angle is 60

Answer:

should be either b or c

Step-by-step explanation:

ee ni mee ni my nee mo

Answer:

b = 3a

Step-by-step explanation:

a = < - 1, 3 >

b = < - 3, 9 >

Thus

b = 3a

Answer:

b = 3a

Step-by-step explanation:

Answer:

(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.

Step-by-step explanation:

Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?

If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)

(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2

(f+g)(x) = 6x³+8x² + 4x - 4

(A)

Answer:

£60

Step-by-step explanation:

70% of original price = £42

100% of original price = £42 * 10/7 = £6 * 10 = £60

The total cost of the dinner is $176.20.

The total cost of the dinner is the sum of the bill for the dinner, the tax and the tip.

Total cost = tip + bill of the dinner + tip

Tax = 0.08 x 140 = $11.20

Total cost = $140 + $25 + $11.20 = $176.20

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View the answer in the Venn Diagram below.

A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.

A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

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The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.

The complete question is attached below.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex of the parabola is at (3, 0). Then the equation of the parabola will be

y = (x – 3)² + 0

Then open the bracket, we have

y = x² – 6x + 9

Then the correct option is C.

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Answer:

let the original price be X

now new price = original price + increment

increment = 5 % of X = X/20

new price = 194.25

now, 194.25 = X + X / 20 = 21X / 20

X = 194.25 * 20 / 21

X = 185

original price = 185

The image of the Constructed circle that passes through points X, Y, and Z is given in the image attached.

The steps to construct the circle are:

Step one- Draw 3 circles and the center of each of then is one where one acts as one of the points,  and the other side  of the compass is said to be at another point.

Step two: Then the draw the circle and follow the way for each point and the three point do cross some where of each other in the middle.

Step three: Place your compass on that point and then begin to drawing side to  link the points and so all 3 point will be on the circle.

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Answer:

y = -2x+2

Step-by-step explanation:

4-4x-2y=0

4-4x = 2y

2y = 4-4x

y = (4-4x)/2

y = 4/2-4x/2

y = 2 -2x

y = -2x+2

The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)² with four turning points

An equation is an expression that shows the relationship between two or more numbers and variables.

The maximum number of turning points of a polynomial function is always one less than the degree of the function.

Hence the polynomial represented by the graph is of degree 5 since it has 4 turning points. The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)²

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Answer:

None of the options are correct

О E. 289.2 cm

Step-by-step explanation:

Volume of a cylinder = v = л r² h

л = 3.1416     (aprox)

r = radius

h = height

8177 = 3.1416 * 3² * h

8177 = 3.1416 * 9 * h

8177 = 28.2744 * h

8177/282744 = h

h = 289.2 cm

Answer:

its opposite

Step-by-step explanation:

Answer:

SA = 169.56 ft²

Step-by-step explanation:

Just replace the variables r and h

by their values in the expression :

SA = 2πr² + 2πrh

     = 2×(3.14)×3² + 2×(3.14)×3×6

     = 169.56

Answer: p=2, q=-1

Step-by-step explanation:

[tex]\frac{\sqrt{3}-1}{\sqrt{3}+1} \left(\frac{\sqrt{3}-1}{\sqrt{3}-1} \right)=\frac{3+1-2\sqrt{3}}{2}=\frac{4-2\sqrt{3}}{2}=2-\sqrt{3}\\\\\therefore p=2, q=-1[/tex]

In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.

The concept that will be used here is the formular to find the error

E=z∝/2 σ/√ n

n= number of the samples= 80

σ = standard deviation = 12 moves

confidence level = (1-∝) = (1- 0.99) = 0.001

σ/2 = 0.005

Then the looking up for Z value of Z(0.005) = 2.58

E= 2.58 *12/√80

= 3.46 moves.

Therefore, option D is correct.

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Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

Answer:

-3/5

Step-by-step explanation:

put down the 5,0 and 0,3 then simply start at the 5,0 and count up how many boxes it takes to get to the three then count left how many boxes it takes to get to 0 so...3/5. then look at the line. its going down which means it is negative. so the slope is -3/5

Answer:

y is 3 and x is

Step-by-step explanation:

The pair of the vertically opposite angles are ∠ABC = ∠DBE and ∠CBD = ∠ABE Then the correct options are B and E.

The complete question is attached below.

When two lines intersect, then their opposite angles are equal.

The diagram is given below.

∠ABC = ∠DBE

∠CBD = ∠ABE

Then the correct options are B and E.

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Answer:

$1.68

Step-by-step explanation:

1 dozen is 12.

18 is the same as 12 + 6

6 eggs is half of 12 eggs.

Since 12 eggs cost $1.12, then 6 eggs cost half of $1.12, or $1.12/2 = $0.56.

18 = 12 + 6, so

the price of 18 eggs = the price of 12 eggs + the price of 6 eggs.

price of 18 eggs = $1.12 + $0.56 = $1.68

Answer:

[tex]7\sqrt{3}[/tex]

Step-by-step explanation:

This is a special triangle with the angles being 30-60-90. The adjacent side to the angle of 30 degrees has a length of x * sqrt(3). The opposite side has a length of x. Since the opposite side has a length of 7 here you simply plug that into x * sqrt(3) to find the length of the adjacent side of the angle 30 degrees which gives you 7 * sqrt(3)

Answer: They're equal to each other yes corresponding parts of congruent triangles are equal

Step-by-step explanation: