Standard form is just putting (in this case) variables in alphabetical order. First we simplify- 2x+4=4y would become 1/2x+1=y. This is already in standard form, as numbers w/o variables come at the end. simplifying the next one is more tricky. first you get a variable/number alone-
9-2x-2y=4x+3
9-2y=6x+3
6-2y=6x
1-1/3y=x
1=x+1/3y
3=x+y
x+y=3
sorry if I was wrong and not of any help, But I do believe this is correct.
The answer for this equation is 25
The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)
Answer : The expression which is equivalent to
is
.
Step-by-step explanation :
The given expression is:
![\sqrt[4]{9}^{\frac{1}{2}x}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B9%7D%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D)
As we know that:
![\sqrt[4]{x} =x^{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20%3Dx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
So, by solving the above expression, we get:

By multiplying the power of 9, we get the following expression.

Hence, the expression which is equivalent to
is
.
Answer:
C. a reflection in the y-axis
Step-by-step explanation:
The mapping statement for the transformation of the vertices of the triangle ABC is given as following:
A(0,2)→A'(0,2)
B(2,9)→B'(-2,9)
C(4,2)→C'(-4,2)
To find the correct transformation for the given statement.
Solution:
From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.