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ladessa [460]
3 years ago
12

Solve the inequality. Graph the solution. −6n>54 The solution of the inequality is .

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

<em>n</em><em> </em><em>=</em><em>-9</em>

Step-by-step explanation:

-6n>54

Divided by negative 6

n=we change the Sign

n=-9

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Factor the trinomial by grouping.<br> 9x^3 - 3x^2 -30x
katen-ka-za [31]

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)

Hope this helps!

4 0
3 years ago
What is the absolute change of 12.1 inches to 7.8 inches?
Troyanec [42]

Answer:

4.3

Step-by-step explanation:

12.1-7.8= 4.3

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3 0
2 years ago
Read 2 more answers
In the figures, area of triangle ABE is 25 cm2
stira [4]

Answer:

sorry where is figure.

Step-by-step explanation:

area of triangle ABE=area of triangle BE3

4 0
3 years ago
HELP PLEASE 21 POINTS PLEASE HELP ME!!!! &lt;3
Anna007 [38]

1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

First term (a₁):  <u> -39  </u>          Common difference (d): <u> +10  </u>

Explicit rule:  a_{n} = -49 + 10n    Recursive rule: a_{n} = a_{n-1} + 10

a_{n} = a_{1} + d(n - 1)

a_{n} = -39 + 10(n - 1)

a_{n} = -39 + 10n - 10

a_{n} = -49 + 10n

***********************************************************************************

3)

n         1          2         3           4         5         6

f(n)   3.75      2.5     1.25        0      -1.25     -2.5

First term (a₁):  <u> 3.75  </u>          Common difference (d): <u> -1.25  </u>

Explicit rule:  a_{n} = 5 - 1.25n    Recursive rule: a_{n} = a_{n-1} - 1.25

a_{n} = a_{1} + d(n - 1)

a_{n} = 3.75 - 1.25(n - 1)

a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


6 0
3 years ago
#15 i
MA_775_DIABLO [31]

The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.

Given that the area is greater than or equal to 8 square feet and image is attached below.

We want to find the missing inequality x in the form of inequality.

The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.

As we know the area of ​​a triangle is half the product of the base and the height.

First of all, we will find the area of ​​the triangle by substituting the given values ​​we get

Area=(1/2)×Base×height

Area=(1/2)×x×10

Area=5x      ......(1)

Assume that this area is greater than or equal to 8 square feet.

That means Area≥8ft²      ......(2)

Now we will balance equation (1) and equation (2), we get

5x≥8ft²

Furthermore, they we will divide both sides by 5 we get

(5x)/5≥8/5

x≥8/5

x≥1.6

Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².

Learn more about the dimension from here brainly.com/question/13271352

#SPJ9

4 0
1 year ago
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