Answer:
1) 4, -5 and 3 are the ZEROES of the expression j = (p - 4)(p + 5)(p - 3)
Step-by-step explanation:
Here, the given phrase is:
j = (p - 4)(p + 5)(p - 3)
Now, here j is Expressed as the product of roots.
(p - 4),(p + 5) and (p - 3) are 3 given roots of the polynomial j.
Now, if (x-a) is the ROOT of the polynomial, then x = a is the ZERO of the POLYNOMIAL.
In this given expression:
(p-4) is the ROOT⇒ 4 is the ZERO of the polynomial j.
(p+5) is the ROOT⇒ (-5) is the ZERO of the polynomial j.
(p-3) is the ROOT⇒ 3 is the ZERO of the polynomial j.
Hence, here 4, -5 and 3 are the ZEROES of the expression
j = (p - 4)(p + 5)(p - 3)
Given:
Vertex 1 (-2,-3)
Vertex 2 (3,5)
Vertex 3 (8,-1)
Reflection across the x-axis rule (x,y) → (x -y)
Vertex 1 (-2,-3) → (-2,-(-3)) → (-2,3)
Vertex 2 (3,5) → (3,-5)
Vertex 3 (8,-1) → (8,-(-1)) → (8,1)
Rotation 90° clockwise (x,y) → (y,-x) *I'm assuming the original triangle was rotated and not the reflection.
Vertex 1 (-2,-3) → (-3,-(-2)) → (-3,2)
Vertex 2 (3,5) → (5,-3)
Vertex 3 (8,-1) → (-1,-8)
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Responder:
Por favor, consulte la explicación.
Explicación paso a paso:
Dado lo siguiente:
Número de bailarines = 156
Sea número de bailarines en una columna = c
Número de bailarines seguidos = c + 20
Multiplicar el número de bailarines en fila y columna dará el número total de bailarines.
Por lo tanto,
c * (c + 20) = 156
c² + 20c = 156
c² + 20c - 156 = 0
c² + 26c - 6c - 156 = 0
c (c + 26) - 6 (c + 26) = 0
(c + 26) = 0 o (c - 6) = 0
c = - 26 o c = 6
C no puede ser negativo
Por lo tanto,
Número de bailarines en columna = 6
Número de bailarines en fila = 20 + 6 = 26
Answer:
Step-by-step explanation:
I thought of a 2 digit number. The digits of my number are different: [XY]
Then I'm lost. Does "The unit digit of my number is the tens digit raised third power" mean that the X is raised to the third power?:
X^3
But then we need more information. X could be 1, 2,3, or 4. At 5 it becomes a three digit number. All of the other option result in a two digit number with different digits, so all seem possible. I don't know how to answer this without more information.
