Answer: 9. x=-3/2 10. x=2
x= 5/2 x=5/3
Step-by-step explanation:
9. Factor the equation:
How: put 4x^2 in the bottom left box and -15 in the upper right box.
then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.
Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6
-10 x 6 = -60
-10 + 6 = -4
Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.
I attached a picture. The colored dots correspond with each other.
Eg: Orange dot x orange dot = number in white square
Now you get the two factors (2x+3)(2x-5)
Set both of these equal to 0 and solve
0=2x+3 0=2x-5
x= -3/2 x= 5/2
Do the same for the other problem
Average reading score is given by the expression,
y = 0.153x + 255.4
Here, x in the number of years past 1970.
To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.
y = 0.153x + 255.4
259.378 = 0.153(x) + 255.4
0.153x = 259.378 - 255.4
0.153x = 3.978
x = 
x = 26
That means given average reading score 259.378 will be 26 years after 1970.
Therefore, 1996 is the year in which the average reading score will be 259.378.
Learn more,
brainly.com/question/2883790
Answer:
76%= Decimal: 0.76 and proportion 76%
Step-by-step explanation:
Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2