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Leto [7]
3 years ago
14

Use the given functions f and g to find f + g, f − g, fg, and f g . State the domain of each. (Enter your answer for the domain

in interval notation.) f(x) = 3x + 6, g(x) = x + 2.
Find the domain of each problem.
f + g = Domain=
f-g= Domain=
(f)(g)= Domain=
f/g=Domain=
2.) Find (g ○ f)(x) and (f ○ g)(x) for the given functions f and g.
f(x) = 3/(x+5), g(x) = 3x − 6
(g ○ f)(x) =
(f ○ g)(x) =
3.) Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x2 − 8x + 2
y =
4.) Use the vertex formula to determine the vertex of the graph of the function.
f(x) = x2 − 14x Write the function in standard form.
f(x) =
5.) Use the vertex formula to determine the vertex of the graph of the function.
f(x) = 3x2 − 10x + 1 Write the function in standard form.
f(x) =

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer: The answers are stated below

Step-by-step explanation: Attached below is the explaination of the solution.

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A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to t
Bond [772]
The ratio of building heights will be the same as the ratio of shadow lengths.
  (taller building)/(shorter building) = (longer shadow)/(shorter shadow)
  (taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
  (taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
  D) 200.9 ft
4 0
3 years ago
Read 2 more answers
Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p
babymother [125]

Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

i=\frac{r}{4}\\\\

 =\frac{0.0818}{4}\\\\=0.02045

t= 8 years

n= 8 \times 4

  =32

D=\frac{1-(1+i)^{-n}}{i}\\

   =\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858

Q= \frac{Amount}{Discount \ factor }\\

   =\frac{26900}{23.3155858} \\\\=1153.73468

Payment =1153.73468 \times  32\\\\

               = \$ 36919.5098\\

\text{Total interest = Payment - amount}

                    = \$ 36919.5098 - \$ 26900 \\\\                      = \$ 10019.5098

\text{Finance charge = Total interest + service charge}

                        = \$ 10019.5098 + \$ 1527\\\\                          = \$ 11546.5098

3 0
3 years ago
Which shows a set of figures that always possesses all these attributes?
Scilla [17]

Answer:

C

Step-by-step explanation:

Four right angles eliminates trapezoids.

Four right angles also eliminates any triangle

General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.

The answer is rectangles and squares.

5 0
3 years ago
40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant
nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: 40x=10x^2+41\\

Rearranging:

40x-10x^2-41=0\\10x^2-40x+41=0

Discriminant can be found by: b^2-4ac

where b=-40, a=10 and c=41

Putting values:

b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/9184197

#learnwithBrainly

6 0
3 years ago
Solve for x:<br><br><br><br> 2 x + 10 + 2 x - 6 = 36
skad [1K]
Group together the like terms (plus 2x with 2x) (subtract 10 by 6)

4x+4=36

Move plus four to the other side as a negative

4x=32

Divide both sides by 4

32 divided by 4 is 8


Therefore, x is equal to 8
7 0
3 years ago
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