Answer:
Addition of 323+412 = 1240 at base 5
Step-by-step explanation:
We have to add 323+412 on base 5
As we have to use base 5 for addition so we can use only numbers 0,1,2,3.4 and 5 as we use 0,1,2,3,4,5,6,7,8,9,10 in decimal when base is 10
Means in addition of sum is greater than 5 then we have to take carry as in base 10 we take carry if the sum is greater than 10
So sum 323+412 = 1240
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Answer:
Yes, the length of a side of a square and the perimeter of the square are related proportionally.
Step-by-step explanation:
To get the equivalent fractions, you simply have to multiply
the fraction with another fraction that would equal to 1.
2/8 x 2/2 (this is equal to 1) = 4/16; 1/4
3/8 x 2/2 = 6/16; 9/24
4/8 x 2/2 = 8/16; 1/2
Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
