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boyakko [2]
3 years ago
9

Which values of a and b make the equation true

Mathematics
1 answer:
bixtya [17]3 years ago
5 0
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the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o
maria [59]
The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
\frac{x}{34000}  =  \frac{90}{100}
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
\frac{x}{30600}  =  \frac{74}{100}
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
8 0
3 years ago
What are the solutions to the following system of equations? y=x^2+12x+30 and 8x-y=10
Ierofanga [76]
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:

8x-10 = x^2+12x+30

Group all terms together on the right side.  To do this, add -8x+10 to both sides.  Then 0 = x^2 +4x +40.  You must now solve this quadratic equation for x, if possible.  I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.

If you have a graphing calculator, please graph 8x-10  and  x^2+12x+30 on the same screen.  You will see two separate graphs that do NOT intersect.  This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
6 0
3 years ago
Find the area of the smaller sector.<br> Round to the nearest tenth.
Tema [17]

Answer:73. 0

Step-by-step explanation:

Radius=8.02

Tita =130

Area of sector = tita/360 x πr^2

130/360 x 22/7 x (8.02) ^2

130/360 x 22/7 x64. 3204

= 72.99

To the nearest tenth = 73.0

6 0
3 years ago
Can someone please help me with this, it’s urgent!!
olga nikolaevna [1]

Answer:

B n D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Is x = 0 a valid potential solution to the equation log(x + 7) + log(x − 3) = 17?
SpyIntel [72]

Answer:

C ni, because 17 isn't divisible by 7 it 3

5 0
2 years ago
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