Answer: Our required expression will be
Step-by-step explanation:
Let the number of feet be f
Shannon is putting a fence around the garden except where there is a gate that is 3 feet wide.
Cost of one foot of the fence = $43
Cost of the gate = $128
Remaining foot for fencing is given by
.
So, Expression that represents the total cost of the fence and gate is given by
Hence, our required expression will be
"The product" immediately suggests multiplication; we're going to be multiplying two quantities together, "3" and "a number minus 7"
"A number" just describes an unknown value, so we'll pick the letter n to be that unknown in our expression. "A number minus 7" then could be written as n - 7.
We can now write the product of 3 and (n - 7) as the expression
3 × (n - 7)
The expression that represents 'the product of 3 and the quantity of a number minus 7' can be written in algebra as 3*(x - 7). Here, x is our variable and can be any number.
The student is asking for an expression that represents 'the product of 3 and the quantity of a number minus 7'. In terms of algebra, this can be expressed in the following way: assuming the 'number' is represented by a variable, like x, we can write it as 3*(x - 7).
This mathematical expression says that we first subtract 7 from our number, x, and then multiply the result by 3.
For example: if x is 10, we would first calculate 10 - 7, which is 3, and then multiply that result by 3, yielding a final product of 9.
#SPJ3
Answer:
-3 and 3
Step-by-step explanation:
b f(x) = x3 + 4x2 − x − 4
c f(x) = x3 + 3x2 − 3x − 9
d f(x) = x3 + 2x2 − 4x − 8
Answer:
Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.
Step-by-step explanation:
Given: x-intercepts of cubic polynomial are -3 , -1 and 2
To find the cubic polynomial, f(x)
We know the x-intercept of cubic polynomial are the zeroes of the polynomials.
So the factors of cubic polynomials we get from zeroes are ( x + 3 ) , ( x + 1 ) and ( x - 3 )
Cubic polynomial , f(x) = ( x + 3 ) ( x + 1 ) ( x - 3 )
= ( x + 3 ) ( x - 3 ) ( x + 1 )
(using identity: (a-b) (a+b) = a² - b²)
= ( x² - 9 ) ( x + 1 )
= x² ( x + 1 ) - 9 ( x + 1 )
= x³ + x² - 9x - 9
Therefore, Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.
what do you do with the minus 2 at the beginning?
The easiest way I have for knowing the difference between linear and nonlinear is the exponent value on the variable x. It is important to understand the root word in linear. It is LINE. A straight line, no curves .y = 2x - 3 This is linear because the exponent on x is one. Thus your slope is standard rise over run, like a stair step and simply goes up or down. I hope this helps :D