Which of the following are possible slopes for the graph of a linear function?
2 answers:
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Hi there!
Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.
We can now find the sum of this expression.
X + 4X + 2
Collect terms
5X + 2
The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18
Subtract 2.
5X = 16
Divide both sides by 5.
X = 16/5 = 3 1/5.
Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2
4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
~ Hope this helps you!
Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.
We can now find the sum of this expression.
X + 4X + 2
Collect terms
5X + 2
The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18
Subtract 2.
5X = 16
Divide both sides by 5.
X = 16/5 = 3 1/5.
Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2
4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
~ Hope this helps you!
Answer:
The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4
Step-by-step explanation:
let l be the length and w be the width of the rectangle respectively;
Diagonal(D) of a rectangle is given by:
......[1]
As per the given statement we have;
Diagonal(D) = width + 2
and
= 2w
Now, substitute these in [1] we have;
Squaring both the sides we get;
or
or
Simplify:
......[2]
The quadratic equation is in the form of
the solution is given by:
On comparing with [1] we get
a= 1 , b = -1 and c = -1
Then the solution is:
Simplify:
and
Then, the diagonal D = w+2
For
For
therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4