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lesya692 [45]
3 years ago
8

10x² – 5x + 11 = 9x² + x + 83Factoring Quadratics​

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Step-by-step explanation:

10x^2-5x+11=9x^2+x+83\qquad\text{subtract}\ 9x^2\ \text{and}\ x\ \text{and}\ 83\\\\(10x^2-9x^2)+(-5x-x)+(11-83)=0\\\\x^2-6x-72=0\\\\x^2+6x-12x-72=0\\\\x(x+6)-12(x+6)=0\\\\(x+6)(x-12)=0

\text{The zeros:}\\\\x+6=0\qquad\text{subtract 6 from both sides}\\\boxed{x=6}\\\\x-12=0\qquad\text{add 12 to both sides}\\\boxed{x=12}

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A theatre has the capacity to seat people accross two levels, the circle and the stalls.
LenKa [72]

Step-by-step explanation:

Alright so, we need need to lay down the clues we were given

●Ratio of the seats= 2:5

● No.of seats in the circle

●Fraction of seats occupied for the stalls

Now, let us take a closer look at the ratio;

<em>C</em><em>:</em><em> </em><em>S</em><em> </em><em> </em><em>Total</em>

2:5 7

As we can see, the number of parts for the circle is 2 parts.

So ,

2 parts = 528 seats

1 part= 528/2= 264 seats

5 parts= 1 320 seats

7 parts= 264 × 7 = 1 848

Finally,

We can now find the seats occupied by the stalls,

2/3 × 1 320

= 880 seats

Seats of circle + Seats of stall

= 528 + 880= 1408

Percentage Occupancy

=

1408/1 848 × 100

Note: The answer will come in decimal numbers.

It will be,

76.1904761905

or

76.19%

ANSWER

3 0
3 years ago
-10 |h+5| -3= -83<br> what is the answer to this the topic is absolute value.
Andru [333]

Answer:

the absolute value is 3,-13

6 0
3 years ago
Jen buys paints for 28.42 how much will she get back if she gave 50
kkurt [141]

Answer:

She will get $21.58 back

Step-by-step explanation:

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Hope this helps :)

6 0
3 years ago
Read 2 more answers
Find the vertex of each parabola by completing the square. x2?6x+8=yx2-6x+8=y
ipn [44]
Y = x^2 - 6y + 8

y = (x - 3)^2 - 9 + 8

y = (x -3 )^2  - 1

vertex is at ( 3, -1)
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3 years ago
a jacket originally sold for $45. this week it went on sale for 20% off. what is the discount and what is the sales price?
Strike441 [17]

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

9

The new price is the original price minus the discount

45-9 = 36

4 0
3 years ago
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