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Tomtit [17]
2 years ago
10

The Coners family are going on a 250 mile road trip. The first day they drive 100 miles. Write an equation with a variable that

can be used to find the number of miles remaining.​
Mathematics
1 answer:
Alik [6]2 years ago
4 0

Answer:

100+x=250 or 250-x=100

Step-by-step explanation:

You might be interested in
1,13, 19..<br> Arithmetic, geometric, or neither
rosijanka [135]

Answer:

Neither.

Step-by-step explanation:

13 - 1 = 12 and 19 - 13 = 6  - no common difference  so its not Arithmetic.

13/1 = 13 and 19/13 = 1.46  - no common ratio so its not Geometric.

4 0
2 years ago
What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)
Minchanka [31]
ANSWER

(3, 11) and (−3, −7)


EXPLANATION

The given system of equations are:


y =  {x}^{2}  + 3x - 7

and

3x - y =  - 2

or

y = 3x  + 2


We equate the two equations to obtain,



{x}^{2}  + 3x - 7 = 3x + 2

We rewrite in standard quadratic form to obtain,

{x}^{2}  + 3x  - 3x - 7 - 2 = 0


This simplifies to

{x}^{2}- 9= 0


We solve for x to obtain,


{x}^{2}  = 9

x =  \pm \sqrt{9}

x =  \pm 3

x = 3 \: or \: x =  - 3

When
x = 3

y = 3(3) + 2 = 11

When x=-3,

y = 3(  - 3) + 2 =  - 7


Therefore the solution for the system is (3, 11) and (−3, −7).
7 0
2 years ago
Read 2 more answers
I REALLY NEED SOMEONES HELP ON THIS PLEASE!! I NEED THIS DONE TODAY!
Rufina [12.5K]
The 5 in x - 5 needs to be negative in the table. So, change that and make everything else in that row negative.

You are then left with 3x^2 + x - 15x - 5

Simplify to 3x^2 - 14x - 5



Please consider marking this answer as Brainliest to help me advance. If you have any questions, please let me know.
8 0
3 years ago
To one-one functions g and h are defined as follows.
Andreyy89

Answer:

  • 9
  • (x-8)/3
  • -1

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

__

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

  \boxed{\left(h\circ h^{-1}\right)(-1)=-1}

6 0
3 years ago
Hi i just need help checking if my answer is correct I have been working on a implicit diffrention problem and I need some help.
SSSSS [86.1K]

Answer:

  \dfrac{dy}{dx}=\dfrac{-4x^3y+2y^3+3x^2y^3}{x^4-6xy^2-3x^3y^2}

Step-by-step explanation:

Normally, when I do this, I differentiate each term first with respect to x then with respect to y. In this solution, I differentiated the entire expression with respect to x, then with respect to y. That makes separating the dx and dy coefficients much easier, so the solution almost falls into your lap.

  -x^4 y + 2 x y^3 + x^3 y^3=0 \qquad\text{given}\\\\(-4x^3y+2y^3+3x^2y^3)dx+(-x^4+6xy^2+3x^3y^2)dy=0\\\\(-4x^3y+2y^3+3x^2y^3)dx=(x^4-6xy^2-3x^3y^2)dy\\\\\boxed{\dfrac{dy}{dx}=\dfrac{-4x^3y+2y^3+3x^2y^3}{x^4-6xy^2-3x^3y^2}}

6 0
2 years ago
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