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A number increased by 3 is two times the number
1 answer:
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Given:
To find:
Which statement are true?
Solution:
Option A: The entire expression is a sum.
It is true because it performed addition operation.
Option B: The coefficient of s is 3.
It is not true because the coefficient of s is .
Option C: The term is a quotient.
If we divide 7 by r, we obtain a quotient.
So it is true.
Option D: The term has a variable.
It is not true because it does not contain any variable.
Therefore the entire expression is a sum and the term is a quotient are true statement.
Answer:
Step-by-step explanation:
we have to use the formula of slope here.
we know,
slope of the line passing through (x1,y1) and (x2,y2) is-
Here, the first two points are -
(-4 , 5) and (0,6)
So, the slope will be-
So, the slope is-
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the -coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the -coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve , which gives
(the 'V' stands for 'or'). We can take the average of the two roots to get the
-coordinate of the minimum point of the graph (which, in this case, is
).
Having the -coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the
-coordinate of the extremum.