The value of k would be 1. This is because the points (h, k) is the vertex and since k is the y-value of the vertex, we can see from the graph that it’s 1.
Answer:
The simplified equivalent expressions for given expression as below:
A) 2x+10x=12x
B) -4(3x-10)+5(2-6x)=-42x+50
C) 2(x-4)+x=3x-8
D) -3-7(3-4x)+8x=36x-24
Step-by-step explanation:
A) Given expression is 2x+10x
To simplify the expression using distributive property a(x+y)=ax+ay
2x+10x=12x (adding the terms)
B) Given expression is -4(3x-10)+5(2-6x)
To simplify the expression using distributive property a(x+y)=ax+ay
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-42x+50 (adding the like terms)
C) Given expression is 2(x-4)+x
To simplify the expression using distributive property a(x+y)=ax+ay
2(x-4)+x=2x-8+x (adding the like terms)
2(x-4)+x=3x-8
D) Given expression is -3-7(3-4x)+8x
To simplify the expression using distributive property a(x+y)=ax+ay
-3-7(3-4x)+8x=-3-21+28x+8x (adding the like terms)
-3-7(3-4x)+8x=-24+36x
-3-7(3-4x)+8x=36x-24

÷

The first thing you must do it to solve the fractions inside the parentheses first

which is

because you must get a common denominator in order to solve. The common denominator is 6. So you must multiply in order to get 6.

Then you do the other fraction:

which is

because 15 is the common denominator and you must multiply the denominator to get 15, thus, you must multiply by the same amount for the numerator. So now it is

÷

but when dividing, you just need to flip-flop the second fraction and then multiply across. Now it is

But to simplify, you find a common factor which is 3.
45÷3=15 and 6÷3=2 which is now

You answer is C)
The slope is 4/5 and the y intercept is 1. To graph the equation start at 1 because that is where the graph crosses the y axis and go up 4 and over to the right 5 since the slope is positive.
Answer:
1. 6
2. 40
3. 5
4. 50
5. 50
6. 5
Act. 2
1. 234
2. 123
3. 122
4. 343.
5. 111
Act. 3
Marcus gave each $120.
Brandon gets paid $9 each hour.
There are 20 boxes on each shelf.
The second page I'm not sure what that means.