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MArishka [77]
3 years ago
13

Factor the polynomial 4x2 24x + 36 completely

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

Step-by-step explanation:

4(x^2 = 6x + 9)

4(x + 3)(x + 3)

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What is the product?
Kipish [7]
The denominator of the second fraction can be factored as (a-2)(2a-7), then it becomes doable. You cancel the (2a-7) factors, and are left with:

\frac{3a^2}{a(a-2)} \implies \frac{3a}{a-2}

Do note that you have erased the fact that a≠0 and a≠7/2, so you should always mention that.


7 0
3 years ago
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One reading at an Arctic research station showed that the temperature was -35 Celsius.what is this temperature in degrees Fahreh
dem82 [27]
-31F because of the formula.
-35°C multiplied by 9/5 +32 = -31°F
~JZ
Hope it helps

8 0
3 years ago
Question options: (1, 4.5) (2, 1.5) (1.5,2) (6,4)
sweet [91]

Answer:

(1.5,2)

Step-by-step explanation:Its the only one furthest away from the rest

4 0
3 years ago
Find the area of the triangle.<br> PLEASE HELP ASAP!
tatyana61 [14]

Answer:

D 111.4 cm²

Step-by-step explanation:

5 0
3 years ago
PLZ HEEEELP!!!!! 10 POINTS!!!!
katrin2010 [14]

Answer:

Step-by-step explanation:

Part a

We need two inequalities, one for time worked at each job and the other

for amounts of money earned.

time:  Let b and c represent the time (number of hours) worked at babysitting and landscaping respectively.  Then b + c ≤ 20 hrs/wk

earnings:  Let ($3/hr)(b) represents the amount of money earned babysitting for b hour.  Let  ($7/hr)(c) represent the money earned working at landscaping.  These amounts are <em>per week</em>.  The appropriate inequality is  ($3/hr)(b) +  ($7/hr)(c) ≥ $84 per week.  The other inequality is

b + c ≤ 20 hrs/wk.

Part b:

As before, b + c ≤ 20 hrs/wk.  What happens if Chet spends all his 20 hours babysitting?  To answer this, set c = 0 (no landscaping hours).  Then b ≤ 20 hours.  At $3/hr, he could earn only $60 and have no time left for landscaping.  Not good.

Let's experiment:  suppose he works 15 hours babysitting and 5 hours landscaping.  His earnings would be $45 + $35, or $80.  Still not enough; he wants to earn $84 total.    Let's redistribute his time and try again:  suppose he works 14 hours babysitting and 6 hours landscaping; his earnings would be $42 + $42, or $84.  So {b = 14 hours and c + 6 hours} is a solution.  As we continue to reduce the number of hours Chet works babysitting and correspondingly increase those he works landscaping, his earnings will go up, beyond $84.

Here's a table that summarizes this:

babysitting          landscaping    total amount

  hours                   hours               earned

      15                          5                      $60 (not acceptable)

       14                         6                       $84 (borderline acceptable)

       12                          8                       $36 + $42 = $78 (great)

        6                          14                       $116 (greater still)

         2                          18                     $132

          1                           19                      $134

          0                          20                      $140

Summary:  Chet can work anywhere from 0 to 14 hours babysitting and expect to earn $84 or more.

4 0
3 years ago
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