Answer:
5x+2y=4
Step-by-step explanation:
Answer:
12x7y3
----------- = 6x4y3
6x3y
Step-by-step explanation:
In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.
Step-by-step explanation:
distance / rate = time
x = original speed mph
60/x = t
Then at 5 mph faster
60/(5+x) = t - 6 re-arranged for t = 60/(5+x) + 6
equate the two definitions of 't' then solve for 'x'
60/x = 60/(5+x) + 6
60 = 60x/(5+x) + 6x
60(5+x) = 60x +6x(5+x)
300 + 60x = 60x + 30x + 6x^2
6x^2 +30x -300 = 0 Use Quadratic Formula to find x = 5 m/hr
An expression is defined as a set of numbers, variables, and mathematical operations. The value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression −b²−2bx²−x will be,
−b² − 2bx² − x
= − b² − 2b(-2)² − (-2)
= − b² − 8b + 4
Hence, the value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.
Learn more about Expression:
#SPJ2
For Company A to have a better deal, the truck must be driven more than miles per day
Answer:
200 miles
Step-by-step explanation:
hope this helps :)
Answer:
The charges of both companies will be same if truck is driven 200 miles per day
Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B
Step-by-step explanation:
Let the truck is driven X miles per day
Charges of company A will be = 90+0.4X
Charges of company B will be =30+0.7X
Let us find out value of X when charges of both companies are same
which means that 90+0.4 X= 30+0.7X
90-30 = 0.7X-0.4X
60 = 0.3X
60/0.3 = X
X= 200
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, identify the boundaries and sketch the rectangle, shading the region within it.
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, we first identify the boundaries of the region. The inequalities |x| < 7 and |y| < 2 represent lines parallel to the x-axis and y-axis, respectively. The region is bounded by these lines and lies within the rectangle with vertices (-7, -2), (-7, 2), (7, -2), and (7, 2). We sketch the rectangle and shade the region within it.
#SPJ3