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3 years ago

A penguin walks 10 feet in 6 seconds. At this speed:

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27

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From the table below, determine whether the data shows an exponential function. Explain why or why not.

Ierofanga [76]

X Δx y Δy

3 1

1 1 - 3 = - 2 2 2 - 1 = 1

-1 -1 - 1 = -2 3 3 - 2 = 1

-3 -3 - (-1) = -2 4 4 - 3 = 1

So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.

That is the result of a linear function, not an exponential one.

So, the true statement is given by the option (A) No; the domain values are at regular intervals and the range values have a common sum 1.

8 0

3 years ago

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lbvjy [14]

Answer:

$\sf \: \fbox{Option C) \: The salary of B is 6000₹}$

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000$

Multiplying above equation with twelve,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1$

and condition two,

The difference of their salaries is ₹2000

$\sf \: x - y = 2000$

Multiplying above equation with 20

$\sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2$

On adding equation 1 and equation 2,

$\sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}$

Substituting the value of x in,

$\sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}$

$\sf \: \fbox{The salary of B is 6000₹}$

Thanks for joining brainly community!

5 0

2 years ago

In the xy plane, what is the y intercept of the graph of the equation y=2 (x+3)(x+4)?

olga2289 [7]

The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:

y=2(0+3)(0+4)

y=2(3)(4)

y=24

Therefore, 24 is our answer.

Hope I helped :)

4 0

3 years ago

Will give 15 pts if you answer this question

Zigmanuir [339]

Your answer is 1,027 :))))))

4 0

3 years ago

Read 2 more answers

How to do 3(x-2)= -6

nasty-shy [4]

Answer:

3×x -3×2=-6