Answer: 19 birds were at the shelter on Wednesday.
Step-by-step explanation:
Let x represent the number of birds that were at the shelter on Wednesday.
Let y represent the number of birds that were at the shelter on Wednesday.
Nicole found a record showing that there were a total of 40 birds and cats on Wednesday. This means that
x + y = 40
The animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. This means that
5.5x + 8.5y = 283 - - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
5.5(40 - y) + 8.5y = 283
220 - 5.5y + 8.5y = 283
- 5.5y + 8.5y = 283 - 220
3y = 63
y = 63/3 = 21
x = 40 - y = 40 - 21
x = 19
1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
(2,3)
Step-by-step explanation:
Rotation through 90 clockwise gives the expression
<em>(</em><em> </em><em>x</em><em> </em><em>,</em><em> </em><em>y</em><em> </em><em>)</em><em>_</em><em>_</em><em>_</em><em> </em><em>(</em><em> </em><em>y</em><em> </em><em>,</em><em>-</em><em> </em><em>x</em><em> </em><em>)</em>
<em>so</em><em> </em><em>whe</em><em>n</em><em> </em><em>you</em><em> </em><em>pu</em><em>t</em><em> </em><em>the</em><em> </em><em>poin</em><em>ts</em><em> </em><em>-</em><em>3</em><em> </em><em>,</em><em>2</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>relat</em><em>ion </em><em>,</em><em> </em><em>it</em><em> </em><em>becom</em><em>es</em>
( -3 , 2 ) ___ ( 2, - -3 )
= ( x, y ) __ ( 2, 3 ). meaning when you rotate -3,2 through 90 clockwise you will get the image ( 2 ,3 )
Answer:
Step-by-step explanation:
16.
RT=17.885
RS=9.741
Angle T=33°
17
AB=7.077
Angle B= 47.291°
Angle A= 42.709°
19
∠A = 180° - B - C = 1.36944 rad =
A=78.463°
Leslie: y= 2x
Kristin: y= 2/5x + 8
Erie: y= 5/4x + 6
For the graph, find attached below. Thanks and if you could mark me as brainliest.