MATHEMATICS HIGH SCHOOL

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 242424 meters per second. After 444 seconds of driving, she was 707070 meters away from the safe zone. Let DDD represent the distance (in meters) from the safe zone after ttt seconds. Complete the equation for the relationship between the distance and number of seconds.

Answers

Answer 1

Answer:

The equation is D=17.5*t

Step-by-step explanation:

Rachel took 4 seconds to reach 70 meters away from the safe zone.

Finding the speed she took to drive away from the safe zone will be;

Speed=Distance/time

S=D/T

S=70/4 =17.5 m/s

D=17.5 * t -----where D is the distance (in meters) from the safe zone after t seconds.

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Answer 2

Answer:

Answer:

y = 166 – 24x

Step-by-step explanation:

first let us solve the distance of the safe zone from the building

let x = be the distance she traveled after 4 s

x = (24 m/s)( 4 s)

x = 96 m

since she is 70 m away at that time. So the distance of the safe zone is 70 m + 96 m = 166 m

so the function is:

y = 166 – 24x

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A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?

Answers

The hummingbird will take 1 minute 13 seconds.

Let the time that will be taken by the hummingbird be represented by x

Note that 1 minute = 60 seconds

Based on the information given, the equation that'll be used in the question will be:

45/55 = 60/x

Cross multiply

(45 × x) = (60 × 55)

45x = 3300

x = 3300/45

x = 73.33 seconds

x = 1 minute 13 seconds

The hummingbird will take 1 minute 13 seconds.

Read related link on:

brainly.com/question/16733139

Answer:

1 2/9 minutes

Step-by-step explanation:

55 mph

55 / 60 = 11/12

11/12 of a mile = 1 minute

45 mph

45 / 60 = 3/4

3/4 of a mile = 1 minute

11/12 divided by 3/4

11/12 * 4/3

We can cross-cancel

11/3 * 1/3 = 11/9 = 1 2/9

It takes 1 2/9 minutes for the hummingbird to cross the lake

Hope this helps!

(Please let me know if I did something wrong!)

F(x)= 2x+1/3x-4 H(x)=3x³-7EvaluateF(x)–¹And Fh(4)

Answers

$f(x) = (2x + 1)/(3x - 4)$
h(x) = 3x³ - 7

$f(x) = (2x + 1)/(3x - 4)$
$y = (2x + 1)/(3x - 4)$
$y(3x - 4) = (3x - 4)((2x + 1)/(3x - 4))$
$y(3x) - y(4) = 2x + 1$
$3xy - 4y = 2x + 1$
$3xy - 2x = 4y + 1$
$x(3y) - x(2) = 4y + 1$
$x(3y - 2) = 4y + 1$
$(x(3y - 2))/(3y - 2) = (4y + 1)/(3y - 2)$
$x = (4y + 1)/(3y - 2)$
$y = (4x + 1)/(3x - 2)$
$f^(-1)(x) = (4x + 1)/(3x - 2)$

f(h(4)) = 3x³ - 7
f(h(4)) = 3(4)³ - 7
f(h(4)) = 3(64) - 7
f(h(4)) = 192 - 7
f(h(4)) = 185

$f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) - 185$
$f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (185(3x - 2))/(3x - 2)$
$f^(1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (555x - 370)/(3x - 2)$
$f^(-1)(x) - f(h(4)) =((4x + 1) - (555x - 370))/(3x - 2)$
$\f^(-1)(x) - f(h(4)) =((4x - 555x) + (1 - 370))/(3x - 2)$
$f^(-1)(x) - f(h(4)) =(-551x - 369)/(3x - 2)$

Find the unknown length. Round to the nearest tenth if necessary.

Answers

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

55 i believe

28 + 27 = 55

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Answers

Answer:

61,70,79

Step-by-step explanation:

common difference=9

It is an arithmetic progression.

therefore next 3 terms of the sequence is 61,70,79

Answer:

61, 70,79

Step-by-step explanation:

34 - 25 = 9

43 - 34 = 9

52 - 43 = 9

52 + 9 =61

the pattern is plus 9

1.75 = 12.3 - x / 2.8

Solve for x

Answers

1.75=12.3-x/2.8
x=(12.3-1.75)2.8
x=29.54

1.75 = 12.3 - x / 2.81.75-12.3=-x/2.8

-10.55=-x/2.8

-10,55*-2.8=x

x=29.54

Solve x2 - 7x = -13.

I need the answer to be a fraction with +- answer

Answers

the answer is x=7+-i√3/2

Answer:

x= +13/5

Step-by-step explanation:

2-7 is -5 so it simplifies to -5x=-13

Then you divide both sides by -5 to get -5x/-5=-13/-5

The negatives cancel off and your left with x=13/5

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