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Sunny_sXe [5.5K]

3 years ago

13

Which is a solution to the equation? (x −2)(x + 5) = 18

2 answers:

Alik [6]3 years ago

5 0

(x-2)(x+5)=18
x²+3x-10=18
Subtract 18 to each side
x²+3x-10-18=18-18
x²+3x-28=0
x²+7x-4x-28=0
x(x+7)-4(x+7)=0
(x-4)(x+7)=0

x-4=0
Add 4 to each side
x-4+4=0+4
x=4

x+7=0
Subtract 7 to each side
x+7-7=0-7
x=-7. As a result,the solutions to this equation are 4 and -7. Hope it help!

kifflom [539]3 years ago

4 0

Well if finding X you get 4,-7 when you simplify the whole equation you get that as well.

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At the movie theatre, child admission is $5.10 and adult admission is $9.00 .

sveticcg [70]

Answer:

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue for Wednesday was 831.60. So then we can set up the following equation for the total revenue

$5.10 X +9.00 Y = 831.60$

We also know that for Wedneday we have two times tickets for adults compared to child so we have

$Y =2x$

And using this condition we have:

$5.10 X + 18 X = 831.60$

And solving for X we got:

$X= \frac{831.60}{23.1}=36$

So then the number of tickets sold for child are 36

8 0

3 years ago

Show that the transformation T defined by<br>T(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.<br>

erastovalidia [21]

Let <em>u</em> = (1, 0) and <em>v</em> = (0, 1). Then

<em>T</em> (<em>u</em>) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

<em>T</em> (<em>v</em>) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=> <em>T</em> (<em>u</em>) + <em>T</em> (<em>v</em>) = (-1, 9, 5)

but

<em>T</em> (<em>u</em> + <em>v</em>) = <em>T</em> (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=> <em>T</em> (<em>u</em> + <em>v</em>) ≠ <em>T</em> (<em>u</em>) + <em>T</em> (<em>v</em>)

which means <em>T</em> does not preserve addition, so it is not linear.

4 0

2 years ago

2x + 9x2 + 4x + 4xy – 6x2

Harlamova29_29 [7]

Simplified would be 4xy + 3x^2 + 6x

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Ainat [17]

Answer:

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X=Chicken

Y=Steak

Step-by-step explanation:

X+Y=6

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Here is another math question -5/3*(-1/8)

arsen [322]

The answer is 5/24
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