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3 years ago

Which polynomial function could be represented by the graph below?

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

f(x) = 3(x - 3)^2 - 3

Step-by-step explanation:

Let the base function be

f(x) = ax^2

It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:

f(x) = a(x - 3)^2 - 3

It has zero's at (2, 0) and (4, 0)

Substitute and solve for a:

a(x - 3)^2 - 3 = 0
a(2 - 3)^2 = 3
a = 3

a(4 - 3)^2 - 3 = 0
a = 3

So the function is:

f(x) = 3(x - 3)^2 - 3

See the attached

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Andy is scuba diving.He starts at sea level and then descends 10 feet in 2 1/2 minutes.

Yuri [45]

Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft

Answer:
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4 0

3 years ago

16x^3 And divide 10x^1

Kay [80]

Answer:

8x^3/5

Step-by-step explanation:

Evaluate the exponent

16x^3/10

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2(8x^3)/10

Cancel the common factors

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2(8x^3)/2(5)

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I hope this helps! :)

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3 years ago

Intro to inequalities 16>f, if f=17

Elanso [62]

Answer:

Is No Solution

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS

Lana71 [14]

Part B (Taxi):

12 miles = 0.5 miles + (115×0.1) miles

Rate: $2.40 + (115×0.20)

= $25.40

Total cost (with tip): $25.40 + $2

= $27.40

20 miles = 0.5 miles + (195×0.1) miles

Rate: $2.40 + (195×0.20)

= $41.40

Total cost (with tip): $41.40 + $2

= $43.40

50 miles = 0.5 miles + (495×0.1) miles

Rate: $2.40 + (495×0.20)

= $101.40

Total cost (with tip): $101.40 + $2

= $103.40

Part B (Uber):

12 miles (rate) = $1 + ($1.05×12)

= $13.60

Total cost (with tip): $13.60 + $2

= $15.60

20 miles (rate) = $1 + ($1.05×20)

= $22

Total cost (with tip): $22 + $2

= $24

50 miles (rate) = $1 + ($1.05×50)

= $53.50

Total cost (with tip): $53.50 + $2

= $55.50

Part C

Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.

3 0

2 years ago

What ratios are equivalent to 10:16? What Apply

ASHA 777 [7]

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

$10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8}$

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

$30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)$

Option 2,

$25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)$

Option 3,

$\frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)$

Option 4,

$8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)$

Option 5,

$5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)$

4 0

3 years ago