9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
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* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Let x be the number of hours ling work on monday.
We know that she worked three more hours on tuesday that in monday, this can be express as :
We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:
The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :
Now , once we have all the expressions we add the expressions of the days and equate them to the total
Now we solve the equation
Therefore , she worked 2 hours on monday.
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Answer:
Step-by-step explanation:
Find the sum of the squares of the residuals for
y 2x 6
It would be 1 square inch. You can't make a trapezoid cause if you tried to it would turn into a square.
Answer:
48
Step-by-step explanation:
To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.
I split it into a square and a trapezoid
The area of the square is 6x5 = 30
The area of the trapezoid is
A=a+b
2h=3+6
2·4=18
So add the area together
30+18= 48
