What are the key features to graphing a polynomial function? Explain how to find these key features to sketch a rough graph.

9514 1404 393

Answer:

  R32.15

Step-by-step explanation:

Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...

  10x +12y = 138.90

  10(1.2x) +12(1.1y) = 159.54

Multiplying the first equation by 1.2 and subtracting the second gives ...

  1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)

  1.2y = 7.14 . . . . collect terms

  y = 5.95 . . . . . divide by 1.2

The value of x can be found from the first equation.

  10x + 12(5.95) = 138.90

  10x = 67.50 . . . . . . . . . . . subtract 71.40

  x = 6.75 . . . . divide by 10

Then the value of 3x+2y is ...

  3(6.75) +2(5.95) = 32.15

The original price of 3 loaves and 2 liters is R31.15.

Answer:

Is 32,13

Step-by-step explanation:

Because one is not bigger than five so it disappears.

Answer:

Step-by-step explanation:

make it 1 triangle and trapezium

1) 1/2 x 7 x 8 = 28 in2

Answer:

56 in^2

Step-by-step explanation:

A = b* h

A = (8) * (7)

A = 56

A = 56 in ^2

Hope this helps!

Answer:

quads

Step-by-step explanation:

Answer: Graph B

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

Explanation:

Point A appears to be at (2.5, -1)

If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5

If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3

Overall, the point A(2.5, -1) moves to A'(-3.5, 3)

Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.

Answer:

x=10

Giving brainiest would be appreciated! :D

Step 1: Simplify both sides of the inequality.

10x+20<40

Step 2: Subtract 20 from both sides.

10x+20−20<40−20

10x<20

Step 3: Divide both sides by 10.

[tex]\frac{10x}{10}[/tex] <   [tex]\frac{20}{10}[/tex]

x<2

Answer:

A

Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A

When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"

"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"

For given example,

The product of a complex number and a real number.

Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.

The product of 'u' and 'x + iy' is,

[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]

Let [tex]2+3i[/tex] be a complex number.

For [tex]u=4[/tex],

[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]

Let [tex]u=-2[/tex],

[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]

We can observe that, the product is a scalar of the complex number.

Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

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Answer:

angle MON = 57 degree

Step-by-step explanation:

Angle LOM + Angle MON =90 degree (being perpendicular)

3x- 15+5x -23 = 90

8x -38 = 90

8x = 90 + 38

8x = 128

x = 128/8

x = 16

Angle MON

5x - 23

5*16 - 23

80 - 23

57 degree

Angle LOM

3x - 15

3*16 - 15

48 - 15

33 degree

Answer:

A

Step-by-step explanation:

f has zero means that f(x)=0

if f(x)=0 we have to look intersection point or points in the graph on the x-axis.

for A

y=0

x=-3, x=4

for B

y=0

x=-4, x=3

for C

y=0

x=-4, x=-3

for D

y=0

x=3, x=4

The solution is : x = 19 is the extraneous solution Li Juan obtained.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, we have,

The given equation is 13 - 2w = w + 6.

We need to solve the equation by squaring both sides of the equation.

Now,  13 - 2w = w + 6 squaring both sides of the equation.

That is, (13-2w)²= 169 - 52w + 4w²

(w+6)²= w²+ 12w + 36

Setting them equal, we get

169 - 52w + 4w² = w² + 12w + 36

⇒3w²- 64w + 133 = 0

Now, using the quadratic formula, we get

x = (64±√(64² - 4×3×133))/6

⇒x = (64±√2500)/6.

⇒x = (64±√50)/6.

⇒x = 19 or 14/6 = 7/3.

Solving the original equation, we get

7 = 3w⇒w = 7/3

Therefore, x = 19 is the extraneous solution Li Juan obtained.

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complete question:

Li Juan solves the equation below by first squaring both sides of the equation.

13 - 2w = w + 6

What extraneous solution does Li Juan obtain?

9514 1404 393

Answer:

  a4 = 132,499

Step-by-step explanation:

Use the recursive relation repeatedly.

  a1 = 4

  a2 = (a1)² +3 = 4² +3 = 19

  a3 = 19² +3 = 364

  a4 = 364² +3 = 132,499

Answer:

$478.8

Step-by-step explanation:

1 sparkler costs= $3.99

120 sparklers cost= $3.99 x 120 = $478.8

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

Answer:

Step-by-step explanation:

The problem told you what all the variables represent, so all we have to do it fill them in accordingly and solve:

[tex]V=6440e^{(.068)(8)}[/tex] and

[tex]V=6440e^{.544}[/tex] and

V = 6440(1.7228846) so

V = $11,095.38

Answer:

120 free throws

Step-by-step explanation:

If she misses 15% of her free throws, that means she makes 85% of them.

Find how many she attempted by dividing 102 by 0.85:

102/0.85

= 120

So, she attempted 120 free throws

The number of free throws that were attempted is 120 free throws.

Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:

= 100% - 15% = 85%

Therefore, 85% of x = 102

0.85x = 102

x = 102/0.85.

x = 120

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Answer:

3x + 3

Step-by-step explanation:

First, the 2 must be distributed. This leaves us with x + 2x + 2 + 1. x and 2x are like terms, as are 2 and 1. They can be combined, giving us 3x + 3. 3x + 3 cannot be simplified any further, so it is the final answer.

Question: X + 2 (x + 1) + 1 in the simplest form

Answer: 3x+3

Answer:

There are more females dropping than males each year and that there are more females than males

Answer:

2+4+6+...+2k+2(k+1) = k(k+1) + (k+1)(k+1)

Step-by-step explanation:

Proved case for n

2+4+6+...+2n = n(n+1) ................(1)

for n = k + 1, we replace n by k and add n = k+1 on both sides (

2+4+6+...+2k+2(k+1) = k(k+1) + 2(k+1))

rearrange by factoring the right-hand-side

2+4+6+...+2k+2(k+1) = (k+1)(k+2)

which if we substitute n=k+1, we get back

2+4+6+...+2(n-1) + 2(n) = n(n+1)  ...............(2)

This means that equation (1) is applicable to case n+1, and the proof by induction is completed.

Answer:

73

Step-by-step explanation:

-9+84+(-2) =

-9+82 =

= 73

Hope this helps

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer:

It means that the investor is purchasing a piece of that company, called a share.

Step-by-step explanation:

Hope this helps

The solution is : 300 shares of Company X stock does the investor own.

A) 300 shares

B) 300 shares

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

Explanation:

Let the total shares owned be 'S'

Data provided in the question:

Shares of Company X stock = 30% of S = 0.3S

Shares of Company Y stock = 1/7 of remaining stock

i.e 1/7 of (S - 0.3S) = 1/7 of 0.7S = 0.1S

Now,

A) The investor owns 100 shares of Company Y stock.

This mean

0.1S = 100

Therefore,

S = 1000 shares

Hence,

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

This means

0.3S = 200 + 0.1S

or

0.3S - 0.1S = 200

or

0.2S = 200

or

S = 1000 shares

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300.

The solution is : 300 shares of Company X stock does the investor own.

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Complete question:

Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?

A) The investor owns 100 shares of Company Y stock.

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

Answer:

hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and

See the graph in the attached image.

Answer:

remember that:

a*i + b*j + c*k can be written as a vector: (a, b, c)

We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.

a(t) = (8*t, sin(t), cos(2*t))

integrating that, we get:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0

where v0 is the vector that defines the velocity at t = 0

in the question you wrote:

V(0) = i

so i suppose that this is:

V(0) = (1, 0, 0)

Then the velocity equation gives:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)

V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)

Now to get the position equation, we integrate it again

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0

where r0 is the initial position, in the question you wrote:

r(0) = j

so we get:

r(0) = (0, 1, 0)

replacing that we get:

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)

r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)

Writing this in the same notation than in the question, we get:

r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k

b) Now we want to graph this:

The image isn't really good but can be used to understand the motion of the particle.

Answer:

Nuts= 2.56

Dried fruit= 12.44

Step-by-step explanation:

x + y = 15

5.6 x + 14.25 y = 9.06 * 15

~~~~~~~~~~~~~~~~~~~~~

x   = 15 - y

5.6 x + 14.25 y = 134.9

~~~~~~~~~~~~~~~~~~~

5.6(15 - y) + 14.25 y = 134.9

84 -5.6y + 14.25y = 134.9

19.85y - 50.9

y = 2.56

x= 12.44

Answer:

[tex]\triangle d=47.69 Knots[/tex]

Step-by-step explanation:

Distance of Ship A from B [tex]d_1=10 West[/tex]

Speed of Ship A [tex]V_a=17 knots West[/tex]

Speed of Ship A [tex]V_b=25 knots North[/tex]

Generally the equation for Rate of distance change is mathematically given by

[tex]\triangle d=\frac{1}{2\sqrt{(17t+10)^2+(25t)^2}}*\triangle t[17t+10^2+25t^2][/tex]

[tex]\triangle d=\frac{578+340+1250}{2\sqrt{(17t+10)^2+(25t)^2}}[/tex]

Therefore with

t=>4PM

We substitute

[tex]\triangle d=\frac{882(4)+420+648(4)}{2\sqrt(21(4)+10^2)+(18(4))^2}[/tex]

[tex]\triangle d=47.69 Knots[/tex]