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klio [65]
2 years ago
7

What is the domain of f in the equation F(x)=5/x2-18x+45

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

f(x)=\dfrac{5}{x^2-18x+45}\\\\The\ domain:\\\\x^2-18x+45\neq0\\\\x^2-15x-3x+45\neq0\\\\x(x-15)-3(x-15)\neq0\\\\(x-15)(x-3)\neq0\iff x-15\neq0\ \wedge\ x-3\neq0\\\\\boxed{x\neq15\ \wedge\ x\neq3}\to\boxed{x\in\mathbb{R}-\{3,\ 15\}}

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5 lbs equals how many ounces
fredd [130]
5 pounds = 80 ounces
7 0
3 years ago
How many square feet of outdoor carpet will we need for this hole
Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0
3 years ago
Which expression is equivalent to is m4?<br> m2+m3<br> m1+m2<br> m1+m3<br> m5+ m6
Airida [17]

Answer: m1+m3

Step-by-step explanation: 1+3=4 and m1+m3 has the same varibles in the expression.

8 0
2 years ago
Jason spent half of his allowance going to the movies. He washed the family car and earned seven dollars. What is his weekly all
Delvig [45]
13-7=6
6 times 2 =12
his weekly allowance is 12
6 0
3 years ago
Read 2 more answers
Geometry: The base of a triangle is 12 in. Its height is (x + 6) in. Its area is no more
larisa [96]

Answer:

The area of a triangle= bh/2. Substitute

12(x+6)/2 ≤ 72

12(1/2x+3) ≤ 72

6x+36 ≤ 72

6x ≤ 72-36

6x ≤ 36 Divide both sides by 6

x ≤ 6

x|x ≤6 (read: x, where x is equal or smaller than 6)

Step-by-step explanation:

3 0
2 years ago
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