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3 years ago

13

if n represents a number, write an expression for the quantity three less than twice this number divided by the quantity 7 more

than the square of this number .

1 answer:

Ugo [173]3 years ago

4 0

Answer:

(2n / n^2 + 7) - 3 i think

Step-by-step explanation:

hope this helped a little bit :))

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For geometry:(<br><br> will give brainist to the correct answer!!!

Over [174]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

7 0

3 years ago

What is the sum of the following equatiioin? 10x+20y+5x=?

Vsevolod [243]

Answer:

15x + 20y

Step-by-step explanation:

First, we need to combine like terms,

10x + 20y + 5x

15x + 20y

Since x and y are different variables, we cannot combine them, meaning that the answer is,

15x + 20y

4 0

3 years ago

Read 2 more answers

A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

3 years ago

If there is a parallelogram with one pair of opposite sides that are congruent and another pair that is parallel, how do I prove

dybincka [34]

Simply state that it is a parallelogram according to the parallelogram theorm. If you need the segments here's an example (A ≈ B and C ≈ D) thats it!

3 0

3 years ago

If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function

Irina-Kira [14]

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

4 0

3 years ago