Answer:
-(x-8)(x+6)
Step-by-step explanation:
-x^2+2x+48
-(x^2-2x-48)
-(x-8)(x+6)
The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.
Answer:
The possible parking lengths are 45.96 feet and 174.031 feet
Step-by-step explanation:
Let x be the length of rectangular plot and y be the breadth of rectangular plot
A rectangular parking lot must have a perimeter of 440 feet
Perimeter of rectangular plot =2(l+b)=2(x+y)=440
2(x+y)=440
x+y=220
y=220-x
We are also given that an area of at least 8000 square feet.
So,
So,
So,
General quadratic equation :
Formula :
So, The possible parking lengths are 45.96 feet and 174.031 feet
{ 3-y=2x
{ x+1/2y=3/2
{ -y=2x-3
{ 1/2y=3/2-x
{ y=-2x+3
{ y=3-2x
-2x+3=3-2x
(x,y) = (x,-2x+3)
The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is
Here f(x) = -12
Substitute f(x) and solve for x
By subtracting 3 on both sides
By dividing -5 on both sides
We get absolute values for the function.
By subtracting 1 on both sides
Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
Learn more about function here: brainly.com/question/12431044
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Answer:
A. h(x)= -5.86x^2 + 23.37x + 34
Step-by-step explanation:
If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.
Then, the combined yield of the two farms is just the yield of the first farm plus the yield of the second farm:
.
Now, since
and
,
then
we add the coefficients of the corresponding terms to get:
Which is choice A.