The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c
'c' represents where the line crosses the 'y' axis.
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change.
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher.
9+10=19,
therefore <u>c=19</u>.
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method:
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x).
Use the -b/2a formula to find the 'x' coordinate of your vertex..
x= -0/2*1, your x coordinate is therefore 0.
substitute your x coordinate into your equation to find your y coordinate..
y= 0^2+0+9
y=9.
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x) are therefore:
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x)
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>
36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization
Answer:
803%
Step-by-step explanation:
365*2.2
Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given :
n=23, which is a small sample(n<30), so we use t-test.
Significance level:
Critical value :
Then , the confidence interval for population mean will be :-
Hence, the 95% confidence interval for the population mean is
Step-by-step explanation :
Dado que Conner y Jana se multiplican (3568)(39610). El trabajo de Conner El trabajo de Jana (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 ¿Es correcto cualquiera de ellos?
Jana y Conner están multiplicando dos números dados. Así que la pregunta es
3568 x 39610
0000
3568x
21408xx
32112xxx
10704xxxx
--------------------------------------
141328480
Así que la respuesta correcta es 141328480.
También los números se pueden agrupar como
3568 = 3000 + 500 + 60 + 8
39610 = 30000 + 9000 + 600 + 10
Después de agrupar multiplicando ambos términos obtenemos la respuesta requerida.
Así que ninguno de los dos tiene la respuesta correcta.