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arsen [322]
3 years ago
15

What is the expression in factored form 9x^2-18x+9

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0
9x^2-18x+9 =9(x^2-2x+1)=9(x-1)^2
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Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming
Nuetrik [128]
Do 22000/7.5
2933.33333 cubic feet
6 0
3 years ago
Martha works in a toy shop and earns $44 per day. She earns an extra $2 for each toy she sells. If Martha wants to earn at least
pantera1 [17]
Martha's total earnings is the sum of her fixed pay pay day and the extra she gains based on the number of toys she sold. Her total earnings may be expressed as,
 
                                        44 + 2n 

Since she desires to earn $80 or more, the inequality is expressed as
 
                                         44 + 2n ≥ 80

Solving for n from the inequality,
 
                                                    n ≥18

Thus, the answer is the first choice. 

5 0
3 years ago
Read 2 more answers
Given the piecewise function shown below select all the statements that are true
Rina8888 [55]
The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:

f(-1) = -(-1) + 1

f(-1) = 2 ✓
3 0
3 years ago
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The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so
arsen [322]

Answer:

Step-by-step explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

                                        = \dfrac{1}{3}x

Remaining \ money =x -  \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x

Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\

Total money - money spent on dinner - money spent on dessert = 60

x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240

Money that Puvi had at the start of the night = £ 240

8 0
2 years ago
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