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3 years ago

11

Please help me solve this equation and show the work show me how you got the answer

1 answer:

Nesterboy [21]3 years ago

7 0

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

$\frac{2}{5} (5k+35)-8=12$ [add both sides by 8]

$\frac{2}{5} (5k+35)=20$ [multiply both sides by 5/2]

$5k+35=50$ [subtract both sides by 35]

$5k=15$ [divide both sides by 5]

$k=3$

Now, we know that k=3.

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Flying against the jetstream, a jet travels 7380 miles in 9 hours. Flying with the jetstream, the same jet travels 9920 miles in

Damm [24]

Answer:

The rate of the jet in still air = 1030 miles per hour

And 210 miles per hour is the rate of the stream.

Step-by-step explanation:

Let the speed of the jet in still air be $x$ miles per hour.

And,the speed of the jetstream be $y$ miles per hour.

Key:So when it is moving against the stream speed will be $(x-y)$ and when it is moving with the stream, speed will be $(x+y)$

And we know that.

Distance=Speed multiplied with time.

Arranging the equation.

$9920=8 \times (x+y)$ ...equation 1

$7380=9 \times (x-y)$ ...equation 2

Working with the equation by using elimination method.

Dividing equation 1 with 8 and equation 2 with 9.We will have

1240= $(x+y)$ ...eqn 3

820= $(x-y)$ ...eqn 4

Now adding both the equation will decimate y.

1240+820=2 $x$

2060=2 $x$

Dividing with 2 both sides.

1030= $x$

By plugging the value of $x$ we can find y in equation 3.

1240=1030 + $y$

Subtracting 1030 from both sides.

1240-1030= $y$

$y$ =210 miles per hour

So the rate of the jet in still air = 1030 miles per hour

And 210 miles per hour is the rate of the jet stream.

6 0

3 years ago

I need help with the formulas<br><br>Example<br><br>A=3.14 x ___

Otrada [13]

Step-by-step explanation:

1. A=38.5 in²

4. p=31.4ft , A=157 ft²

2. A=67.92 in²

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2 years ago

Using the quadratic formula to solve x2 = 5 – X, what are the values of x? -1 + 21 2 -12/19/ 2 5+21 2 1+ 191 2

inna [77]

Answer:

${x}^{2} = 5 - x \\ { \tt{ {x}^{2} + x - 5 = 0 }} \\ \\ { \bf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 1± \sqrt{21} }{2} }} \\$

3 0

3 years ago

PLEASE HELP ASAP! What is the slope of the line through (-1, 4) and (1, -2)

ivolga24 [154]

The answer will be is -1/3.

4 0

3 years ago

Read 2 more answers

PLEASE!!! NEED HELP ASAP!!! 50 PTS AND BRAINLIEST!!!

noname [10]

1) Inverse function: $f^{-1}(x)=g(x)=\frac{x+4}{3}$

2) $f(1) = -1, g(-1) = 1$

3) $f(g(x))=g(f(x))=x$

Step-by-step explanation:

1)

In this first method, we want to find the inverse function of $f(x)$ .

The original function is:

$f(x) = 3x-4$

We rewrite it as

$y=3x-4$

We swap the name of the variables:

$x=3y-4$

Adding +4 on both sides:

$x+4=3y-4+4\\x+4=3y$

And dividing by 3 on both sides:

$y=\frac{x+4}{3}$

which is identical to $g(x)$ :

$g(x)=\frac{x+4}{3}$

2)

In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.

We start using the function

$f(x)=3x-4$

We choose $x=1$ . We find:

$f(1)=3(1)-4=3-4=-1$

Now we use this output value as input in the function

$g(x)=\frac{x+4}{3}$

Substituting $x=-1$ ,

$g(-1)=\frac{-1+4}{3}=\frac{3}{3}=1$

So, the final output value (1) is equal to the input value (1).

3)

Here we want to verify that the two are inverse functions by showing that

$f(g(x))=x$

We have

$f(x)=3x-4\\g(x)=\frac{x+4}{3}$

Substituting g(x) into f(x),

$f(g(x))=3g(x)-4 = 3(\frac{x+4}{3})-4=(x+4)-4=x$

Viceversa, we want to show that

$g(f(x))=x$

Substituting g(x) into f(x), we get

$g(f(x))=\frac{f(x)+4}{3}=\frac{(3x-4)+4}{3}=\frac{3x-4+4}{3}=\frac{3x}{3}=x$

So, the two functions are one the inverse of the other.

Learn more about inverse functions:

brainly.com/question/1632445

brainly.com/question/2456302

brainly.com/question/3225044

#LearnwithBrainly

6 0

3 years ago