Answer:
(x-1)(x-7)
Step-by-step explanation:
To factor the equation, find two binomials which multiply to a quadratic. The quadratic's factors are found by finding two numbers that multiply to 7 and add to -8.
-1 and -7 multiply to 7 and add to -8.
(x-1)(x-7)
Answer:
2x3 - 3x + 4
———————
x2
Step-by-step explanation:
Step 1 :
2
Simplify ——
x2
Rewriting the whole as an Equivalent Fraction :
4.1 Adding a fraction to a whole
Rewrite the whole as a fraction using x2 as the denominator :
x x • x2
x = — = ——————
1 x2
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 5.00
-1 2 -0.50 5.25
-2 1 -2.00 -6.00
-4 1 -4.00 -112.00
1 1 1.00 3.00
1 2 0.50 2.75
2 1 2.00 14.00
4 1 4.00 120.00
Polynomial Roots Calculator found no rational roots
Final result :
2x3 - 3x + 4
————————————
x2
Processing ends successfully
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Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
Answer:
(a) The temperature at a specific location as a function of time.
This is a continuous function as the temperature cannot increase in an instant like time.
(b) The temperature at a specific time as a function of the distance due west from New York City.
This is a continuous function as the temperature in one location is affected by its neighboring places.
(c) The altitude above sea level as a function of the distance due west from New York City.
The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.
(d) The cost of a taxi ride as a function of the distance traveled.
This is a discontinuous function as the cost still raises if you make a stop.
(e) The current in the circuit for the lights in a room as a function of time.
This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.
The electron traveling speed makes this discontinuous.
No solutions would be correct so 0
