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AveGali [126]
2 years ago
11

What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mathematics
1 answer:
Mashutka [201]2 years ago
4 0
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
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After the bank cashed a check Maureen wrote for $60, her balance was Negative 14 dollars. The equation b + (negative 60) = negat
RoseWind [281]
B + (-60) = -14
-60 -60
---------------
b = -74

What error, if any, did Maureen make?

Maureen's work is correct, and her original balance was -$74.

Maureen should have added 60 to both sides.

Maureen should have added 14 to both sides.

Maureen made a computational error when she subtracted -14 - 60
Maureen's work is correct, and her original balance was -$74.

--> Maureen should have added 60 to both sides.

Maureen should have added 14 to both sides.

Maureen made a computational error when she subtracted -14 - 60
8 0
2 years ago
Read 2 more answers
Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC. If AD = 4 cm and AB = 6 cm, what is the perimeter
Yanka [14]

If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.

Given that

  • WX≅DC,
  • XY≅BC,

you can state that

  • YZ≅AB,
  • WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer: 20 cm

6 0
2 years ago
Read 2 more answers
Polygon ABCD is a parallelogram, and <img src="https://tex.z-dn.net/?f=m" id="TexFormula1" title="m" alt="m" align="absmiddle" c
djyliett [7]
<span>Polygon ABCD is a parallelogram
m<ABC = m<ADC = 127

360 - 2(127) = 360 - 254 = 106

m<BCD = m<BAD = 106/2 = 53 
</span>P = 2(10 + 5) = 2(15) = 30

answer
<span>The perimeter of the parallelogram is 30 units, and </span>m<BCD is 53°
6 0
2 years ago
Read 2 more answers
What is the solution to log Subscript 3 Baseline (x + 12) = log Subscript 3 Baseline (5 x)
jonny [76]

I hope this helps you

6 0
2 years ago
Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo
GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0
2 years ago
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