The perfect squares on either side of 21 are 16 and 25 of which the roots are:
4 and 5
Answer:
Only one
Step-by-step explanation:
46=3x+7 /-7
39=3x /:3
13=x
3B + 4T = 11.33
9B + 5T = 23.56
Solve by elimination:
Multiply the first equation by -3 to get -9B where the 3B is
so that it will cancel with the 9B when the equations are added.
-9B - 12T = -33.99
9B + 5T = 23.56
------------------
-7T = -10.43
T = $1.49
Substitute in
3B + 4T = 11.33
3B + 4(1.49) = 11.33
3B + 5.96 = 11.33
3B = 5.37
B = $1.79
A taco costs $1.49 and a burrito costs $1.79.
Therefore 5 burritos and 7 tacos will cost
5B + 7T = 5($1.79) + 7($1.49) = $19.38
Answer:
12(3y+2x)
Step-by-step explanation:
In this question, we are asked to give an expression that represents the total cost of shorts for the players.
He is ordering 2 pairs of short and 3 shirts. Hence, per player, he would be spending the following:
2 pairs of shorts at x dollars each. Cost here is just $2x
3 shirts at y per one. Cost is $3y
Per player he is spending a total of 3y + 2x
Now, there are people to cater for. The total amount to spend will now be 12(3y + 2z )
Given :-
- a² - 2a - b² = 0
- 2b + 2ab = 0
To find :-
Solution :-
<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>
- 2b + 2ab = 0
- 2b ( 1 + a ) = 0
- 2b = 0 or (1+a) = 0
- b = 0 , a = -1
<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>
<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>
- a² - 2a - 0² = 0
- a² - a = 0
- a( a -1) =0
- a = 0 , 1
<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>
- (-1)² - 2*(-1) - b² = 0
- 1 + 2 - b² = 0
- b² = 3
- b = ±√3
<u>Answer </u><u>:</u><u>-</u><u> </u>
- a = 0,1 ; b = 0
- a = -1 , b = ±√3