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Neporo4naja [7]

2 years ago

14

On the highway, a car can travel 21 miles per gallon of gas. If the car travels for 4 hours on the highway at a rate of 65 miles

per hour, how many gallons of gas should the car use, to the nearest tenth of a gallon?

2 answers:

lora16 [44]2 years ago

6 0

Answer:

12.4 gallons

Step-by-step explanation:

65 mph x 4 hours means the car went 260 miles. Divide by 21 to get the number of gallons. 12.4 gallons.

Firlakuza [10]2 years ago

6 0

Answer:

5.36

Step-by-step explanation:

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poizon [28]

Answer:

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6 0

2 years ago

Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the race?

Thepotemich [5.8K]

Answer:

The value is $\left 35 } \atop }} \right. P_3 = 39270$

Step-by-step explanation:

From the question we are told that

The total number of cars is $n = 35$

The number cars considered is $r = 3$

Generally the number of different top three finishes possible for this race of 35 cars is mathematically represented as

$\left n } \atop }} \right. P_r = \frac{n!}{(n - r) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35! }{(35 - 3) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35 * 34 * 33 * 32! }{32 !}$

$\left 35 } \atop }} \right. P_3 = 39270$

7 0

3 years ago

Please help me with this ok Brainliests.<br>

PilotLPTM [1.2K]

Answer:

Part 2

A. 10

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B.96

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D. 12

Step-by-step explanation:

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3 0

2 years ago

NO LINKS!!! What is the transformation f(x)= x^3:

Mama L [17]

Answer:

4. Horizontal shrink by a factor of ¹/₅

5. Left 5, Up 5

6. Right 5, Down 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

<u>Transformations</u>

For a > 0

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a$

$y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}$

$y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}$

$y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}$

Identify the transformations that take the parent function to the given function.

<u>Question 4</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(5x)^3$

Comparing the parent function with the given function, we can see that the <u>x-value of the parent function</u> has been <u>multiplied</u> by 5.

Therefore, the transformation is:

$y=f(5x) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{5}$

As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅

<u>Question 5</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x+5)^3+5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

<u>Step 1</u>

5 has been <u>added to the x-value</u> of the parent function.

$f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}$

<u>Step 2</u>

5 has then been <u>added to function</u>.

$f(x+5)+5 \implies f(x+5) \: \textsf{translated}\:5\:\textsf{units up}$

<u>Transformation</u>: Left 5, Up 5

<u>Question 6</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x-5)^3-5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

<u>Step 1</u>

5 has been <u>subtracted from the x-value</u> of the parent function.

$f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}$

<u>Step 2</u>

5 has then been <u>subtracted from function</u>.

$f(x-5)-5 \implies f(x-5) \: \textsf{translated}\:5\:\textsf{units down}$

<u>Transformation</u>: Right 5, Down 5

Learn more about graph transformations here:

brainly.com/question/27845947

6 0

2 years ago

Read 2 more answers

The following list details the numbers of tickets sold for a talent show grade 9:22; grade 10:32; grade 11: 41; and grade 12:30.

Montano1993 [528]

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C

7 0

3 years ago