Answer:
78
Step-by-step explanation:
= 12 x^2 - 30 put in ' - 3 ' for 'x'
= 12 ( -3 )^2 - 30
= 12 (9) - 30 = 78
A number has fixed number of factors but infinite number of multiples
Ex:-
Take a number 12
It has factors 1,2,3,4,6,12
It is fixed.
But
It has multiples 12,24,36,48,60...
It is infinite
Use index form. N= a^x becomes log a (N) = x
Therefore your question becomes (log 2.3 (13))/9 = x
And rounding to 3 decimals gives you 0.342
Answer:
Step-by-step explanation:
Let the number of hours driven by Maggie be x and that of Alan be y
If Maggie and Alan drive for a total of 32 hours, then;
x+y = 32 ..... 1
Also if Maggie drives three times the number of hours that Alan drives on their vacation, then x = 3y ...... 2
Substitute eqn 2 into 1;
x+y = 32
3y+y = 32
4y = 32
y = 32/4
y = 8 hours
Since x = 3x
x = 3(8)
x = 24 hours
Hence Maggie drives for 24 hours and Alan drives for 8 hours
Remark
One of the ways you could solve this is to go to a place like Desmos and graph it for yourself. Then at least you would know what the answer looked like. Another way is to solve for the x value by equating the equations since the y has to be the same. We'll do both.
Solve For X
(2/3)x + 1 = -(2/3)x - 1 Add 1 to both sides
(2/3)x + 1 + 1 = - 2/3x Subtract (2/3x) from both sides.
2 = (-2/3)x - (2/3)x
Show the graph and comment
Notice that there is only one graph given that has a value of x = - 3/2 Normally you are not that lucky. Thanks for putting the graphs in. We are usually not that lucky and have to guess at the answer if it is a graph.
2 = - 4/3x Multiply both sides by 3
2 * 3 = - 4x
6 = - 4x Divide by - 4
6/-4 = x Reduce
-3/2 = x
Remark
The x value is wrong for the one on the left. It is also wrong for the third one from the left. And the last graph is also incorrect. Only the second from the left gives the right answer.