Answer:
Step-by-step explanation:
Find the multiples of 2x^2 and 2
for 2x^ you get 2,1 but they need to have x to get x^2 so; (2x and x)=2x^2
for 2 you get 2,1 (2x1)=2
Because your equation has a 5x and no negatives you know that your factors need to be positive.
(2x+1)(x+2)
when you multiply these you get
2x^2+4x+x+2 (remember 2x multiplies with everything inside (x+2) = 2x^2+4) and so on for the x (x+2) =x+2 )
Then you combine like terms 4x+x=5x
and those are the only like terms available and you get
2x^2+5x+2
Hope it helped
Proportion A
The first thing you should know in this case is what the rate of change means.
The rate of change in a linear equation is given by the slope of the line.
For a linear equation, the rate of change is constant.
So we have to:
y = 9x
The slope is:
m = 9
Proportion B
The slope of the line will be:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (57.5-34.5) / (5-3)
m = 11.5
Answer:
The rate of change in proportion A is 2.5 less than in proportion B.
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = 
x + 6 → (1)
y = - x + 5 → (2)
Substitute y = x + 6 into (2)
x + 6 = - x + 5 ( add to both sides )
x + 6 = 5 ( subtract 6 from both sides )
x = - 1 ( divide both sides by )
x = 
= - 
← one solution
Answer:
Step-by-step explanation:
The shape cam be split into a triangle and a trapezoid
✔️Area of the trapezoid = ½(a + b)h
Where,
a = 12.5 ft
b = 16.7 ft
h = 11.6 ft
Plug in the values
Area of the trapezoid = ½(12.5 + 16.7)*11.6
Area of trapezoid = 169.36 ft²
✔️Area of the triangle = ½*b*h
b = 16.7 ft
h = 19.2 - 11.6 = 7.6 ft
Area of the triangle = ½*16.7*7.6
= 63.46 ft²
✔️Area of the shape = 169.36 + 63.46
= 232.82 ft²
Cross multiply (multiply 18 on both sides to get rid of the 18 in the denominator, and multiply "x" on both sides to get rid of the x in the denominator
36 = x² Square root both sides to get rid of the ², and to get "x" by itself
√36 = √x²
±6 = x Your answer is 6
You could have just done this too:
2(18) = x(x)
36 = x²
√36 = √x²
±6 = x
