Hello.
The answer is: In a perfect square trinomial, two of your terms will be perfect squares.
Perfect squares are numbers or expressions that are the product of a number or expression multiplied to itself. 7 times 7 is 49, so 49 is a perfect square. x squared times x squared equals x to the fourth, so x to the fourth is a perfect square.
Have a nice day
Answer:
Step-by-step explanation:
We know the function
We want to find
Remember that if we have a function and its inverse , then the domain of the function will be the range of the function .
This means that to find we must look for:
We solve the equation for x.
So:
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠TRQ is an external angle and ∠RTS, ∠RST are interior angles, hence
45x = 25x + 57 + x
45x = 26x + 57 ( subtract 26x from both sides )
19x = 57 ( divide both sides by 19 )
x = 3
Answer:
91 campers can swim
Step-by-step explanation:
step 1
Find the number of campers
we know that
The ratio of counselors to campers at a camp is 1 : 9
so
by proportion
Find the number of campers if there are 13 counselors
Let
x-----> the number of campers
1/9=13/x
x=9*13=117 campers
step 2
How many campers can swim?
we know that
The ratio of campers who can swim to campers who cannot swim is 7 : 2
so
The ratio of total campers to campers who can swim is 9 : 7
by proportion
Find how many campers can swim for a total of 117 campers
Let
x----> the number of campers that can swim
9/7=117/x
x=117*7/9
x=91 campers can swim
After solving the linear programming problem, we get the answer as <u>250</u>.
What is linear programming?
When a linear function is <u>exposed to multiple restrictions, </u><u>linear </u><u>programming maximizes or minimizes the function</u>. This method determines the best way to use the resources that are currently available and aids managers in using the process to <u>make </u><u>decisions </u><u>about the most efficient use of scarce resources, such as money, time, materials, and machinery</u>. Linear programming has been useful for guiding quantitative decisions in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.
Solution explained:
x=3, y=4 P(3,4) Coordinates of the solution point
x=4, y=3 Q(4,3)
Coordinates of the simultaneous eqs.
x=14/3, y=8/3
Putting the values of x and y in the equation P = 30x + 40y and calculating we get
P(P) = 250, P(Q) = 240, P(R) = 246.67
So, the answer is 250
To learn more about linear programming, use the link given
brainly.com/question/24038519
#SPJ1