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2 years ago

Given that 6 x − 7 y = 22 Find y when x = − 1

Mathematics

1 answer:

kykrilka [37]2 years ago

7 0

Answer

y= 4

Step-by-step explanation:

6x-7y=22

6x(-1)-7y=22

-6-7y=22

-7y=22+6

-7y=28

y=-4

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The midpoint of AB is M(2, -1). If the coordinates of A are (1,6), what are the

VashaNatasha [74]

Answer:

work is attached and shown

5 0

2 years ago

Plz do this question if you did I will very appreciated you. plz.

Nastasia [14]

The area formula of a circle is $r^{2}$ × π.

With that being said, we can solve both problems!

Starting with part A:

-The radius we know is 21cm. From there, we can substitute in our formula with the new value.

$21^{2}$ x π

From there, we can square our radius:

(21 x 21) x π

(441) x π

And finally, we can multiply by pi to get our answer.

(441) x π

1385.44236023

Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.

The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!

Hope this helped! :)

5 0

2 years ago

Express your answer as a polynomial in standard form

Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3>Definitions:</h3>

The polynomial in standard form has terms that are arranged by descending order of degree.

In the composition of function f with function g, which is alternatively expressed as f ° g, is defined as (f ° g)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3>Solution:</h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2) + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8 + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in x that is written in standard form is: 4x² + 16x + 13.

8 0

1 year ago