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Aleks04 [339]
2 years ago
14

A carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the dimensions of the carton by using unit

cubes
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0
A 10-inch cube. (10 x 10 x 10 = 1000)
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Factor the trinomial completely. <br> x^2-5x-24
Vikki [24]
The answer is:  " (x − 8) (x + 3) " .
__________________________________________________________
  " (x − 8) (x + 3) " are the factors of:  " x² − 5x − 24 " .
_________________________________________________________
Explanation:
__________________________________________________________

Given:  "x² − 5x − 24 " ;  Factor this "trinomial" expression completely.

We notice the "-5x" and the "-24 .

What factors of "-24" add up to "-5" ?

-1 + 24 ? No.

-24 + 1 ? no. 

-12 + 2 = -10? No.

12 + (-2) = 12 - 2 = 10 ? No.

-3 + 8 = 5 ? No.

-8 + 3 = -5 ?  Yes! 

So:   " (x − 8) (x + 3) " are the factors of:  " x² − 5x <span>− 24 " .
______________________________________________________ </span>
4 0
3 years ago
What fraction of the shape is shaded?​
djverab [1.8K]

Answer: 2/4 simplified: 1/2

Step-by-step explanation:

4 0
3 years ago
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Compare the costs of bike trips from the two companies shown. For both, the cost is a linear function of the number of days.
Nutka1998 [239]

I did this quiz its Scenic Pathways has no sign up fee and a greater cost per day.

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Which expression is equivalent to 6^4 x 6^3
Alex777 [14]

Answer:

36^{7}

Step-by-step explanation:

6^{4} × 6^{3}

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4 + 3 = 7  (add exponents because its multiplication)

8 0
2 years ago
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I need a little help! Can someone check my work? It's a written response with linear systems.
andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

  • y = 2x + 1
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These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

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  • 4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

5 0
3 years ago
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