find the volume of the right rectangular prism by determining the number of unit cubes.
A.)21 unit cubes. B.) 24 unit cubes c.) 27 unit cubes d.) 30 unit cubes

9514 1404 393

Answer:

  B (correctly marked)

  1/3, 1/2, 4

Step-by-step explanation:

The rational root theorem tells you the rational roots will be of the form:

  ±(divisor of constant)/(divisor of leading coefficient)

Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.

Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.

Possible rational roots are ...

  ±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3

__

I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.

_____

Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.

  ((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0

So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...

  6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)

The roots associated with the quadratic factor are 1/3 and 1/2.

The real roots are 1/3, 1/2, and 4.

_____

* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.

  6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5

The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).

Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.

There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.

1. ABCD is shifted some units down, and then some othe units left.

2. The figure is just moved, not reflected, not diluted. So the distances are preserved

3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units

The length of LO is as the length of AB which is 6 units.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

According to the given information, the quadrilateral ABCD is translated down and left to form the quadrilateral OLMN.

As the quadrilateral is just shifted first down and then left but not changed in the dimensions thus, the dimensions of the new quadrilateral OLMN will also be the same as ABCD.

length of LO=OL=AB= 6 units

Hence, the length of LO is as the length of AB which is 6 units.

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The complete question is;

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units

Answer:

$33

Step-by-step explanation:

If each locker costs $6, 33x6=330 (the 33 is from 27+6)

Answer:

AB = DC                         Given

AC = DB                         Given

BC = BC                         Reflexive property

△ACB = △DBC             SSS

m∠DBC = m∠ACB       CPCTC    

Step-by-step explanation:

Reflexive property basically means that something is congruent to itself

SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent

CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent

meaning because the triangles are congruent, all the corresponding sides and angles are also congruent

Answer:

A. 6x-10y+4

B.6x²-12x-15

C.24a+120

D.12g-8h+28

Answer:

A: y=-3/4x -3

Step-by-step explanation:

Answer:

Either a or c

Step-by-step explanation:

Sorry I'm not entirely sure.

Answer:

Well i do not think you will be able to explain a drawing but here it goes.

Step-by-step explanation:

A. You will draw the model and color it  halfway

B. You will draw a model and color it about done but -       - away from the end

C.You will draw a model and color it about -          - in.

D.You will draw a model and color it about -                         - in.

E.You will draw a model and color it  about 20% more than A but make sure its a little more like a inch or so.

Answer:

i think is D t but i think

Step-by-step explanation:

Answer is 0 probably B)

Step-by-step explanation:

Answer:

y = 679.952

Step-by-step explanation:

It is given that, the value of y varies directly with x.

y₁ = 85, x₁ = 14

[tex]y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071[/tex]

We need to find the value of y when x is 112.

[tex]y=k\times x\\\\=6.071\times 112\\\\y=679.952[/tex]

So, the value of y is 679.952 when x is 112.

Answer:

133+1728x^456

Step-by-step explanation:

Answer:

well (-2) -4=-6

Step-by-step explanation:

the the elevation he changed in is 6ft goign down

The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.

The equivalent addition equation to represent this situation will be given as,

⇒ (-2) + (-4)

⇒ - 2 - 4

⇒ - 6

The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.

More about the Algebra link is given below.

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Answer:

10

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

the reason that it is a sas angle is because C is in the middle and the two triangles stop at an angle to to this the angles are congruent and therefore similar

Answer:

f = -2x -5, which is false

Step-by-step explanation:

combine like terms, f = -2x -5

-2f = 4x +10

Answer:

The Answer would be -3

Step-by-step explanation:

(-2)=4x+10

-4x=10+2

-4x=12

-3

Answer:

-0

Step-by-step explanation:

Answer:

-1   0   1   2

Its just subtraction

Answer:

x=5/2

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

if you divide 126 by 3 you get 42 than multiply by 5 and you get 210

yes because 6÷2 is 3 and that gets you the answer

The second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.

Thus, the second table at the bottom represents a function because the slope for consecutive pairs of values is the same as 2, all through. The answer is: {(2, 7), (4, 9), (6, 11), (8, 13)}.

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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]

[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]

[tex]slope = \frac{3}{3} \\ [/tex]

[tex]slope = 1[/tex]

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Answer:

a person who believes in and promotes the truth or benefits of an idea or theory.

Step-by-step explanation:

you are pretty

smart

kind

beautiful

"My daddy said your a stranger"

The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

What do you mean by transformation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.

The functions given are :

f(x) = x²

and

g(x) = (x - 1)² + 3

Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:

g(x) = f (x + h)

Then , the graph is shifted to left by h units.

and

g(x) = f (x - h)

Then , the graph is shifted to right by h units.

If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.

Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:

g(x) = f(x) + k

Then , the graph is shifted up by k units.

and

g(x) = f(x) - k

Then , the graph is shifted down by k units.

Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.

The graph of the function is attached  below. Here , both of the functions are graphed.

Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

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Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

x

2

+ 4 = 12 ; 16 attires  

Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Step-by-step explanation:

brainliest would be super appreciated

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

Answer:

f(-4) + 1 = 39

Step-by-step explanation:

Given f(x) = -7x + 10

f(-4) + 1 = (-7(-4) + 10) + 1 = (28 + 10) + 1 = 38 + 1 = 39.

Answer:

i think a

Step-by-step explanation:

becuade 4.50 per game(x) and the additional fee would be 14