Step-by-step explanation:

Distribute into 5x² into (3x +2).

The simplified expression is <em>15x³ + 10x²</em>


=> The answer is <u>2</u><u>.</u>
Get it to equal 0
minus 17x from both sides
2x²-17x+35=0
tricky part
get something like
(2x-a)(x-b)
we know the signs are negative since the middle term is negative and last term is positive
so a and b are either 1 and 35 or 5 and 7
(2x-1)(x-35), nope
(2x-35)(x-1) nope
(2x-5)(x-7), nope
(2x-7)(x-5), yep
(2x-7)(x-5)=0
set to zero
2x-7=0
2x=7
x=7/2
x-5=0
x=5
x=7/2 and 5

➳This number can be written in scientific notation as 1.86 times a power of 10.
X= increased amount
L= length
W= width
The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.
L= 12 + x
W= 14 + x
L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses
(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288
x^2 + 26x + 168= 288
subtract 288 from both sides
x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120
(x - 4) (x + 30)= 0
set each number equal to zero
x - 4= 0
x= 4
x + 30= 0
x= -30
ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.
Hope this helps! :)