Answer:
Step-by-step explanation:
1. let x be the unknown number.
-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.
-The in equality is written as:
2.Let the amount Chris has be y.
-At most is a term of inclusivity implying less than or equal to a specified quantity.
-$5 less than twice y will therefore be represented as:
3. It is clear that the minimum age to have a drivers license is 16.
-Let x be the age of a driver whose age is unknown.
-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.
-Our inequality symbol is that of equal to or greater than, thus:
4. let x be the number of CD's bought and y of DVD's bought.
-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.
-They can only buy a number of units whose price is less than or exactly $65, thus:
Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = 
and 
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
Answer:
C
Step-by-step explanation:
Therefore, the answer is C. Hope this helps!
Ratios of Area of the two squares = 25:9
So then let the areas be A1 = 25A and A2 = 9A, A is common element
Side of the smaller area S2 = 30 meters
Area of the smaller square A2 = 30 x 30 = 900
We have area of smaller square as 9A = 900 => A = 100
Area of the large square = 25A = 25 x 100 = 2500.
Hence S1^2 = 2500 => S1 = 50 meters which is 20 meters longer than the
side of the smaller square.
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