Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
Answer:B
Step-by-step explanation:
A. y = 2x-11
B. y = 2x-10
c. y = 2x-4
D. y=2x-2
Recall, the slope intercept equation
y= mx+c
Assuming c is held constant in each scenario
Looking at A
m = 2, c = -11
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c =-10
-10 does not correspond to -11 given
Let's try B
m= 2, c = -10
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
This intercept correspond with the intercept in B which is -10
Let's look at C
m= 2, c = -4
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -4 given
Let's try D
m= 2, c = -2
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -2 given
Answer:
y = -2x + 8
Step-by-step explanation:
The point slope form of an equation is written as
y = mx + c ...............(i)
Where m is the slope and c is the constant
Now we Know that the equation is
y + 2 = -2(x-5)
and the given points are
m= -2
x = 5
and y= -2
Putting these values in equation (i) to find the value of c
y = mx + c
it becomes
-2 = -2(5) + c
-2 = -10 + c
Adding 10 on both sides
-2 + 10 = -10 + 10 + c
8 = c
or c=8
Now we have the values of m and c
where m= -2 and c = 8
Point slope form of an equation is
y = mx + c
putting the values of m and c to get equation in slope intercept form is
y = (-2)x + 8
or
y = -2x + 8
Other method:
The given point slope form is
y + 2 = -2(x-5)
We have to change it in y= mx + c form
so solving it
y + 2 = -2x + 10
Subtracting 2 from both sides
y + 2 -2 = -2x + 10 -2
y = -2x + 8
which is same is
y=mx + c
so the required equation is
y = -2x + 8
Answer:
Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
Answer:
A. H<0
Step-by-step explanation:
<em>Add by 4 from both sides of equation.</em>
<em>-4+4>-4+h+4</em>
<em>Simplify.</em>
<em>0>h</em>
<em>Then, switch sides to find the answer.</em>
<em>h<0</em>
<em>h<0 is the correct answer.</em>
