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NNADVOKAT [17]
2 years ago
7

Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.

Mathematics
1 answer:
Katen [24]2 years ago
7 0

Answer:

x < -11/6.

Step-by-step explanation:

−12x + 13 > 35

-12x > 35 - 13

-12x > 22

Divide both sides by -12 and invert the inequality sign:

x < -22/12

x < -11/6.

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Please help!!
yarga [219]

Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let x^2=u. We can now rewrite that polynomial in terms of u: u^2-7u-8=0. Filling into the quadratic formula we have u=\frac{7+/-\sqrt{49-4(1)(-8)}}{2}. Simplifying down u=\frac{7+/-\sqrt{81}}{2} and u=\frac{7+9}{2} or u=\frac{7-9}{2}. That means that u = 8 or u = -1. But don't forget that we let u=x^2, so we have to put x-squared back in for u. That gives us x^2=8 which simplifies down to +/-2\sqrt{2}. That also gives us x^2=-1. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get x=+/-i. All in all, your solutions are as follows: 2\sqrt{2},-2\sqrt{2},i,-i which is choice b.

7 0
3 years ago
Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

6 0
2 years ago
What is the difference? 5/3-1/2<br><br>A. 4<br>B. 7<br>C. 7/6<br>D. 7/0 = undefined
Fofino [41]
The answer is:  [C]:  " ⁷/₆ " .
____________________________________
  Note:
____________________________________
   (5/3) - (1/2) = ? ;
____________________________________
The LCD (lowest common denominator) of "2 and 3" is "6" ;

So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
____________________________
 (5/3) = (?/6) ?  ;  (6÷3=2) ;  (5/3) = (5*2)/(3*2) = 10/6 ;
____________________________
(1/2) = (?/6) ? ; (6÷2=3) ;  (1/2) = (1*3)/(2*3) = 3/6 ;
____________________________
Rewrite the problem:   "    (5/3) - (1/2) " ;  as:
____________________________
   10/6 - 3/6  ;
____________________________________________
    10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
____________________________________________
The answer is:  " ⁷/₆ " ;  or, write as:   " 1 ⅙ " ; which corresponds to: 
______________________________________________________
Answer choice:  [C]:  " ⁷/₆ " .
____________________________________________
5 0
3 years ago
Which of the following expression are equivalent to -45+12?
lora16 [44]

Answer:

Step-by-step explanation:

Please share the possible answer choices next time.  Thanks.

-45 + 12 is equivalent to 12 - 45.

-45 + 12 comes out to -33.

5 0
3 years ago
Can somebody help me? I’m already failing :(
Yuliya22 [10]

Answer:

125

Step-by-step explanation:

f(1)= the first time (32,000)

n= 9

r= .5 (each term is being mulitplied by .5 to get the next one

We have

32,000*(.5)^(9-1)

32,000*(.5)^8

=125

5 0
3 years ago
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