Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
Responder:
3 / 4x + 1/2 = x
Explicación paso a paso:
Dado que:
Capacidad total = x
Volumen inicial = cierta fracción * capacidad total
Volumen adicional agregado para llenar = 1/2
Por eso,
Inicial. Volumen + volumen adicional = volumen total
De las opciones:
Un volumen inicial de 3 / 4x
Volumen adicional de 1/2
Volumen total = x
Sumar todo hace que la ecuación:
3 / 4x + 1/2 = x
x - 3 / 4x = 1/2
Por lo tanto, la ecuación correcta de la opción es: 3 / 4x + 1/2 = x
Can you rewrite the equation? It doesn’t make sense
Let the number of islands visited be x and that peninsulas be y
thus,
x+y=19
⇒y=19-x.........i
if he skydives twice in islands and thrice in peninsulas, then the total number of skydives will be:
2x+3y=45.....ii
substituting i in ii we get:
2x+3(19-x)=45
2x+57-3x=45
putting like terms together we get:
2x-3x=45-57
-x=-12
therefore
x=12
and
y=19-x=19-12=7
hence the number of islands visited was 12 and that of peninsulas was 7
