For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).

The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

The standard form of a polynomial expression is written as:

[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]

A polynomial function has a leading degree that is greater than 2;

Given the polynomial function

[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]

From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

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Answer:

  C.

Step-by-step explanation:

The equation will have no solution if it reduces to the form ...

  1 = 0

Other possible forms are ...

  0 = 0 . . . . infinite solutions

  y + c = 0 . . . . one solution

___

The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.

  A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0   ⇒   0 = 0   (infinite solutions)

  B. 32x +25 -21x - 10x = 0   ⇒   x +25 = 0   (one solution)

 C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0   ⇒   1 = 0   (no solutions)

  D. 1/3 +1/7y -3/7y = 0   ⇒   y -7/6= 0   (one solution)

Answer: It says it right there

Step-by-step explanation:

create a video explaning

Answer:

y=-2x+10

Step-by-step explanation:

Answer:

2p -2

Step-by-step explanation:

To find the perimeter, add up all the lengths of each side of the rectangle.

Perimeter

= 2 +2 +p -3 +p -3

= 2 +2 -3 -3 +p +p

= -2 +2p

= 2p -2

Answer:

2a=7[tex]\sqrt{2}[/tex] or 7/2

Step-by-step explanation:

hope thats right

Answer:

600J

Step-by-step explanation:

work done = force x distance

                  = 60 x 10

                  = 600J

The workdone by arsene wenger in joules is 600J

Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)

Workdone is expressed as;

Workdone = f × d

where do is the force and d is the distance.

The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.

Therefore, the workdone by arsene wernger is

W = 60 × 10

W = 600J

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Answer:

14a - 12b - 7

Step-by-step explanation:

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

Answer:

Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6

So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.

This turns out to be a line that passes through the origin having slope 6/1

Step-by-step explanation:

Answer:

-3 ≤ x < 2

Step-by-step explanation:

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

Answer:

if you are talking about 5x6 then the answer would be 30 but if not please clarify :)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6x5=30 so I believe the answer to your question to be 30

Answer:e d

Step-by-step explanation:

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]

[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]

[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]

[tex]\\ \sf\longmapsto x^2-x-2[/tex]

Answer:

in the picture

hope this helps! :D

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

Answer:

$4

Step-by-step explanation:

If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.

6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.

Answer:

240

Step-by-step explanation:

To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.

Answer:

ancho: 12 cm

Largo: 14 cm

Step-by-step explanation:

[tex]P=2a+2l[/tex]

[tex]l=a+2[/tex]

[tex]P=2a+2(a+2)=2a+2a+4[/tex]

[tex]P=4a+4[/tex]

[tex]52=4a+4[/tex]

[tex]52-4=4a[/tex]

[tex]48=4a[/tex]

[tex]48/4=a[/tex]

[tex]12=a[/tex]

largo = ancho + 2 = 12 +12 = 14 cm

Hope this helps

Answer:

51 yellow marbles

Step-by-step explanation:

60% of 85 can be found by multiplying 85 and 0.6 to get 51

Answer:

i got 51 marbles! simple.

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

[tex]\red{\bold{Answer:}}[/tex]

The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.

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#CarryOnLearning

(≡^∇^≡)

The value of [tex]x[/tex] is 29.

The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:

[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)

[tex]V = w\cdot h \cdot l[/tex] (2)

Where:

According to the statement, we must equalize (1) and (2) and substitute the remaining variables:

[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]

[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]

[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]

By applying logarithm properties, we simplify the expression:

[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]

[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]

[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]

[tex]x = 9 + 16 + 4[/tex]

[tex]x = 29[/tex]

The value of [tex]x[/tex] is 29.

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Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:

A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?

Answer:

You need more information for this question to be solved.

Step-by-step explanation:

Are any of the variables given?

Answer:

It is a horizontal line through y-coordinate 6.

Step-by-step explanation:

Because 10*3/5=6.

Answer:

-20.5

-8

4.5

17

Step-by-step explanation:

y = 2.5x - 8

x = -5

y = 2.5(-5) - 8

y = -12.5 - 8

y = -20.5

x = 0

y = 2.5(0) - 8

y = 0 - 8

y = -8

x = 5

y = 2.5(5) - 8

y = 12.5 - 8

y = 4.5

x = 10

y = 2.5(10) - 8

y = 25 - 8

y = 17