If (ax + 2)(bx + 7) = 15(x 
2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.
<h3>
What is meant by linear equation?</h3>
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.
Let the equation be
(ax + 2)(bx + 7) = 15
+ cx + 14
(ax + 2)(bx + 7) = ab + 7ax + 2bx + 14 = ab + (7a + 2b) + 14
On comparing both equations
ab = 15 ------ (1)
7a + 2b = c -------(2)
Also, it is given that a + b = 8 --------(3)
From equations (1) and (3) it can be observe that either a or b equal to 3 or 5
From equation (2),
When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31
When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41
Therefore, the correct answer is option D) 31 and 41
To learn more about linear equation, refer to:
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Answer:
22-5f
Step-by-step explanation:
22 less then 5 would be 22-5 and then you have 5 times a number f so that would make it 5f so you would just attach the f to the 5. I hope this is helpful and is what you are looking for.
Answer:
It's D.
Step-by-step explanation:
You add.
<em>That's it.</em>
Answer:
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Step-by-step explanation:
we have
we know that
The roots of the quadratic function are the values of x when the value of the function is equal to zero
so
For f(b)=0
Solve for b
Adds 75 both sides
take square root both sides
Simplify
therefore
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Answer:
Continuous
Step-by-step explanation:
Here we are asked to determine that the data given to us in form of rates of pizza and the toppings is discrete or the continuous.
The discrete data always come in integers where as the continuous data can come in decimals too. For example the number if student in a class is always a discrete data where as the weight of the students in a class is continuous data.
Here we can see that the cost of pizza and the toppings are in decimals. Hence here the data is continuous
