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Savatey [412]
1 year ago
15

The graph of F(x) shown below resembles the graph of G(x) = x4, but it has

Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

Using translation concepts, the equation of F(x) is:

A. F(x) = \frac{1}{3}x^4 - 2

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

G(x) = x^4

For function F(x), we have that:

  • It was shifted down 2 units, hence F(x) = G(x) - 2.
  • It was vertically compressed by a factor of 3, hence F(x) = \frac{1}{3}G(x) - 2

Then the equation is:

A. F(x) = \frac{1}{3}x^4 - 2

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

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Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will
VikaD [51]

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

A = P\left(1 + \dfrac{r}{n}\right)^{nt}

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $ 10 000 richer at the end of the competition.

7 0
3 years ago
The quotient of a number and 4 is -7 write an equation and solve
Olin [163]

Answer:

equation- 4÷x=-7

x= -4/7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The sum of one third of a number and five is equal to six less than the number
abruzzese [7]

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

4 0
2 years ago
Why is it 1- a quarter
spayn [35]

Answer:

1/4

Step-by-step explanation:

One quarter is 0.25 or 1/4 in fraction form. It is also said as one fourth.

6 0
3 years ago
If a humming bird were to get all of its food from a feeder, then a 16 ounce nectar feeder could feed about 80 hummingbirds a da
lord [1]

If 16 ounces feeds 80 and you need to find how many 12 ounces feeds, you need to find how many 1 ounce feeds. so take 80 and divide by 16, you get 5 birds per ounce. now since it is 5 per ounce and you have 12 ounces you multiply 5 by 12 and get 60. Hope this answers you question.

3 0
3 years ago
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