What two numbers multiply to get 77 but add up to 18?

Answers

Answer 1
Answer: So the question says:
____ + ____ = 18 
____ * ____ = 77 
so the answer is 7 and 11 :)))
lets check it:
7 + 11 = 18 
7 * 11 = 77 
I hope this is helpful
have a nice day
Answer 2
Answer: I'm not at my computer right now so I can't check it out. But I think you should try 11 and 7 .

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57.4 divided by 10???????

Answers

57.4/10=5.74
the answer is 5.74

57.4 / 10 = 5.74
You just move the decimal over one place to the left

Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.a. k[p(x)] = 5x − 12
b. k[p(x)] = 5x − 28
c. k[p(x)] = 5x2 − 12
d. k[p(x)] = 5x2 − 28

Answers

Composite functions are function of functions. The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

What are function of functions and how are they represented?

Function of functions, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as

(f\circ g)(x)

where the x is the input to first function.

Thus, we have;

(f\circ g)(x) = f(g(x))

For given context, the functions are:

k(x) = 5x - 8 \np(x) = x - 4,

Composing them to get k[p(x)], we need to put whatever p(x) output as input to k(x).
Thus,

k(p(x)) = 5(p(x)) - 8\n\nk(p(x)) = 5(x-4) - 8 = 5x - 20 - 8 = 5x - 28\n

Thus,

The correct value of k[p(x)] for given context is given by: Option b. k[p(x)] = 5x − 28

Learn more about composite functions here:

brainly.com/question/24780056

Answer:

k [p(x)] = 5x -28 .

Option (b) is correct .

Step-by-step explanation:

As given the expression in the questions are

k(x) = 5x - 8

p(x) = x - 4

k [p(x)] = k (x-4)

           = 5 × (x-4) -8

           =  5× x - 5 × 4 - 8

           = 5x - 20 - 8

           = 5x - 28

Thus

k [p(x)] = 5x -28

Therefore  k [p(x)] = 5x -28 .

Option (b) is correct .



A pool measuring 8 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the pool and the path combined is 1008 square​ meters, what is the width of the​ path?

Answers

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0.          Divide through by 4.
x²  + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients:  1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check:   25*-8 = -200         25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x


 x² +17x - 200 = 0     

x² + 25x - 8x - 200 = 0     

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0    or   x - 8 = 0

x = 0 -25              x = 0 + 8

x = -25                    x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

I need to know the measurement of the fourth angle

Answers

Answer:

108° Make me Brainliest pls

Answer:

108 degrees

Step-by-step explanation:

All 4 angles of a quadrilateral added together is always equal to 360 degrees.

252 is the sum of 3 angles

therefore, in order to find the fourth measurment, we subtract 360-252

=108

Hope this was helpful

What is the general form of the equation of the line shown?

Answers

Answer:

x - y = 0

Step-by-step explanation:

The given line is y = x.

We could re-write this as x - y = 0, which is in general form.

The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours:Which of the following statements best describes Hannah"s distance from her home?

Answers

Alright, from the graph, we know that Hannah's distance between hour 2 and hour 4 isn't uniform, so what we need to do is break the graph down a little.

When we break it down, we learn that Hannah's distance between hour 2 and hour 3 is decreasing because the y value decreases, and that Hannah's distance between hour 3 and hour 4 is increasing, because the y value starts increasing again.

Once we know that, all that's left is to match it up with the choices given. We can eliminate choices A and D because Hannah's distance between hour 2 and hour 4 isn't uniform, leaving us with B and C.

Between hours 2 and 3, we know that Hannah's distance is decreasing because the y value decreases, giving you your answer, which is C!

Answer:

C

It is decreasing in the interval 2 < x < 3 hours

Step-by-step explanation:

i took the test