Find the minimum value of the parabola<br> y = x2 + x .

A square classroom has a perimeter of 60 feet. How long is each side of the room?

nignag [31]

Answer:

15

Step-by-step explanation:

since it is a square all sides are equal.

60/4=15

Therefore the answer is 15

4 0

2 years ago

Read 2 more answers

This will be worth ten points

Tatiana [17]

First, you can write that 1260 ÷ 15 = 84.

To prove this one way, you can show the multiplication of the quotient and divisor. If the division was correct, it would end up as the value of the dividend:

84 * 15 = 1260
1260 = 1260

To prove this another way, you can show 84 being added 15 times and seeing if it totals 1260:

84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 + 84 = 1260
1260 = 1260

7 0

3 years ago

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How many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution infinite number of solut

Anna35 [415]

The system of equations has infinite solutions.

<h2>Given to us,</h2>

$y=-6x+2$
$-12x-2y=-4$

<h3>Equation 2,</h3>

The value of y is already given in equation 1,

$-12x-2y=-4$

substituting the value of y in equation 2,

$-12x-2(-6x+2)=-4\\-12x +12x-4=-4\\-12x+12x=-4+4\\0=0$

The solution of the two equations is 0. Also, we can see that both the equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

Learn more about System of solutions:

brainly.com/question/14264175

3 0

3 years ago

A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=

stiks02 [169]

The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

<h3>What is the differentiation?</h3>

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

$\rm x^2 + y^2=25$

Differentiate with respect to time

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0$

Substitute all the values in the equation

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}$

Hence, the value of dy/dt at this time is -9/2.

Learn more about differentiation here;

brainly.com/question/19385433

#SPJ4

6 0

2 years ago

James and Gavin purchase two baseball tickets. Tickets cost $8.50 each, drinks cost $3.50 each, and bags of popcorn cost 3.00 ea

Lunna [17]

D = drinks, p = popcorn
17 + 3.50d + 3.00p

variables : a letter in place of an unknown number : (d and p)
coefficients : the number multiplied by the letter : (3.50 and 3.00)
constants : a lone number, no variables attached : (17)

6 0

4 years ago

Find the minimum value of the parabola y = x2 + x .