Answer:
2nd and 5th options
Step-by-step explanation:
the solution to a system of equations is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect and will have no solution.
The slopes m of parallel lines are equal.
The options with equal slopes , both - 2 are the
2nd and 5th options
The <em>correct answers</em> are:
5x²+70x+245 ≥ 1050; and
Yes.
Explanation:
Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.
The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.
The area of the TV would be given by
(x+7)(5x+35).
Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:
(x+7)(5x+35) ≥ 1050
Multiplying this, we have:
x*5x+x*35+7*5x+7*35 ≥ 1050
5x²+35x+35x+245 ≥ 1050
Combining like terms,
5x²+70x+245 ≥ 1050
To see if 8 is a reasonable width for the tablet, we substitute 8 for x:
5(8²)+70(8)+245 ≥ 1050
5(64)+560+245 ≥ 1050
320+560+245 ≥ 1050
1125 ≥ 1050
Since this inequality is true, 8 is a reasonable width.
Answer:
El orden de mayor a menor es:
54.45
; 32.245
; 23.4
; 8/9
; 15/20
; 50/100
; 4/10
; 0.056
; 9/1000
Step-by-step explanation:
El mayor número será el que tenga el mayor entero, o si tienen el mismo entero será aquel que tenga el primer decimal mayor de izquierda a derecha, o si tienen el mismo se observa el siguiente decimal y así sucesivamente.
Para ordenar y comparar las cantidades es conveniente en primer lugar pasar todos los números a decimales. Para convertir una fracción en un decimal, debes dividir el numerador entre el denominador.
Entonces, en este caso el valor decimal de cada cantidad (o una aproximación) es:
23.4
15/20= 0.75
32.245
0.056
4/10= 0.4
50/100= 0.5
8/9= 0.8888
0.009
9/1000= 0.009
54.45
Entonces <u><em>el orden de mayor a menor es:
</em></u>
<u><em>
54.45
; 32.245
; 23.4
; 8/9 = 0.8888
; 15/20 = 0.75
; 50/100 = 0.5
; 4/10 = 0.4
; 0.056
; 9/1000 = 0.009</em></u>
