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3 years ago

7

Given the equation what is the slope of the parallel line

D%20x%20%2B%204" id="TexFormula1" title="y = \frac{3}{2} x + 4" alt="y = \frac{3}{2} x + 4" align="absmiddle" class="latex-formula">

1 answer:

mars1129 [50]3 years ago

7 0

The slope is 3/2. Because the equation is given in slope intercept for y=mx+c and m is slope

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An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.

Lina20 [59]

Answer:

$x^3+x^2-2x\leq140$

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth= (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

$2x*(x -1) * (x + 2) \leq 280\\\\$

open the brackets

$2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280$

divide through by 2 we have

$x^3+x^2-2x\leq140$

5 0

3 years ago

Read 2 more answers

A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are

Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is $(x,y)$ .

To get it's coordinates, we use the section formula:

$(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})$

Where (m,n) is the (AB, BC)

Therefore we have

$(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})$

This gives:

$(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})$

$-1 =( \frac{x + 6}{2}$ and $2 = \frac{y + 3}{2})$

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0

3 years ago

What is the quadratic equation of the curve of best fit shown below

Kisachek [45]

First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.

6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3

6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!

4 0

3 years ago

Substract 11 3/4 - 9 8/15

Tju [1.3M]

Answer:

2 and 13/60

Step-by-step explanation:

First, we must create a common denominator in the fractions. For the given denominators, it would be 60, so 3/4 would be 45/60 and 8/15 would be 32/60. From here, we can just subtract and get 2 and 13/60.

Hope this helps!

3 0

3 years ago

I need help on 10,11,12, and 13 plz help me

Mila [183]

10. 14
2 * 7 <==

11. 12
6 * 2
2 * 3 * 2 = 2^2 * 3 <==

12. 15
3 * 5 <==

13. ur gonna have 3 tables that each have 4 chairs

7 0

3 years ago