Recent questions and answers in Quadratic Equations

An object has mass $m=\frac{p+1}{3p+1}$ and density $\rho = \frac{p^2-1}{9p^2+6p+1}$. Determine the volume $v$ where $\rho = \frac{m}{v}$. Also state the restrictions on any variables.

answered Apr 11, 2020 by arpit157.15

2 answers

The vertex of the parabola in the $x-y$ plane above is $(0,c)$. Which of the following is true about the parabola with the equation $y=a(x-b)^2+c ?$

answered Mar 30, 2020 by wynso.nonoz

2 answers

If the $xy$ plane, the graph of $y=x^2-16$ intersects the graph $y=2x$ at the points $(0,0)$ and $(x,y)$. What are the values of $x$ and $y$?

answered Jan 11, 2020 by priyanka.clay6

1 answer

$\large\frac{y^2-5y-24}{9y^2-10y+16}=$

answered Jan 9, 2020 by priyanka.clay6

1 answer

Given: $f(x)=2x^2-3x+5$, determine $f(-3)$

answered Jan 9, 2020 by priyanka.clay6

1 answer

The factors of $x^4+2x^2+9$ are ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

Write the expression (x + 5)(x + 2) as a polynomial in standard form.

answered Jan 8, 2020 by priyanka.clay6

1 answer

School of Troy decided to award prizes to the most punctual and the most obedient student. The sum of two prizes is $\$150$ and this product is $\$5600.$ Which of the following can be the equation to represent the above condition ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

If $x^2+2xy+y^2=36$ and $y-x=6$ what is the value of $x$ ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

What can be the equation of the line whose slope is $\frac{1}{7}$ and y intercept 6 ?

answered Jan 7, 2020 by priyanka.clay6

1 answer

$3x^2-4x=p$, where $p$ is a constant. What can be the value of $p$ if the equation above does not have real roots.

answered Jan 5, 2020 by priyanka.clay6

1 answer

If $x^2+y^2=16$, and $xy=4$, what can be the value of $x+y$ ?

answered Jan 3, 2020 by priyanka.clay6

1 answer

A rectangular box has dimensions $x,\;x+1,\;x+2.$ If the dimensions are doubled what can be its surface area.

answered Dec 22, 2019 by priyanka.clay6

1 answer

Find the value of $k$ for which the equation $2x^2-(k-1)x+8=0$ will have real and equal roots.

answered Dec 19, 2019 by priyanka.clay6

1 answer

$(tx+9)^2=81$ where $t$ is a constant. If $x=-2$ is a possible solution to the equation, what is the possible value of $t$ ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

If one zero of $3x^2-4x+ p$ is reciprocal to the other, then find the value of $p$

answered Dec 17, 2019 by priyanka.clay6

1 answer

$9x^2-16=(kx+t)(kx-t)$, where $k$ and $ t$ are constants. Which of the following can be the value of $k$

answered Dec 13, 2019 by priyanka.clay6

1 answer

If $f(x)=3x^2+5x-6$ and $g(x)=x^2-4$ and $h(x)=f(x).g(x),$ then the degree of $h(x)$ is

answered Dec 12, 2019 by priyanka.clay6

1 answer

If $3+x^2=96,$ the value of $x$ is

answered Dec 12, 2019 by priyanka.clay6

1 answer

Which of the following polynomial is equal to $(3x^3+4x^2-5x)+ (8x^2+3x-12)$

answered Dec 12, 2019 by priyanka.clay6

1 answer

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

answered Dec 12, 2019 by priyanka.clay6

1 answer

What can be the equation of the line whose slope is $\large\frac{1}{7}$ and $y$ intercept $ 6 $?

answered Dec 10, 2019 by priyanka.clay6

1 answer

A landscaper is designing a rectangular garden. The length of the garden is to be 12 feet longer than its width. If the area of the garden will be 108 sq. feet, what will be the length in feet of the garden ?

answered Dec 6, 2019 by priyanka.clay6

1 answer

If $\begin{align} g(x)= \frac{1}{(x-2)^2-3(x-2)+2}\end{align}$, for what values of $x$ is $g(x)$ undefined.

answered Dec 6, 2019 by priyanka.clay6

1 answer

At $t$ minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm, was found to be 3 minutes less than $\dfrac{t^2}{4}$ minutes. Find $t$

answered Dec 6, 2019 by priyanka.clay6

1 answer

Smith and Slerry have $24\;m$ of fencing to enclose a rectangular garden at the back of their house express the area of the garden as a function of its width.

answered Dec 5, 2019 by priyanka.clay6

1 answer

If $f(x)=x^2+5x+p$ and $Q(x)=x^2+3x+q$ have a common factor, then the common factor is

answered Dec 4, 2019 by priyanka.clay6

1 answer

answered Dec 4, 2019 by priyanka.clay6

1 answer

If $x^2+y^2=a$ and $xy=6b$, then which of the following is equivalent to $3a-2b ?$

answered Dec 3, 2019 by priyanka.clay6

1 answer

Which of the following is an example of a function whose graph in the $xy-$ plane has no intercepts ?

answered Dec 3, 2019 by priyanka.clay6

1 answer

In the equation given below, $K$ is a constant, if $x=6$, what is the value of $K$ ? $\qquad \qquad \sqrt{K^2+9} -x =0$

answered Dec 3, 2019 by priyanka.clay6

1 answer

What can be the nature of the roots for the equation $x^2-4x+6$ ?

answered Dec 3, 2019 by priyanka.clay6

1 answer

The points of intersection of $f(x)=2x^2+4x-11$ and $g(x)=-3x+4$ is

answered Dec 2, 2019 by priyanka.clay6

1 answer

Simplify $\large\frac{2}{(x-1)^2} - \large\frac{2}{(1-x^2)}$

answered Dec 1, 2019 by priyanka.clay6

1 answer

If $(x-1)^x = 1$ and $x \neq 1$, then all the possible values of $x$ are

answered Dec 1, 2019 by priyanka.clay6

1 answer

A building is to be built on a lot that measures 80 m by 60 m. A lawn of uniform width, equal to the area of the building, must surround it. How wide is the strip of lawn.

answered Nov 28, 2019 by priyanka.clay6

1 answer

$(sx+3)(tx-3)=4x^2+ux-9$ for all the values of $x$ and $s+t=4$, what are the possible values of $u$ ?

answered Nov 28, 2019 by priyanka.clay6

1 answer

A balloon is catapulted into the air from the top of a building. The height $h(t)$ in meter of the ballon after $'t'$ seconds is $h(t) = -5t^2 + 30t +10$. When will the balloon reach a height of 30 m ?

answered Nov 27, 2019 by priyanka.clay6

1 answer

A water is catapulted into the air from the top of a building. The height $h(t)$ in meter of the ballon after $'t'$ seconds is $h(t) = -5t^2 + 30t +10$ QUESTION : What are the range of this function ?

answered Nov 27, 2019 by priyanka.clay6

1 answer

The roots of the equation $2x^2 - 7x-4=0 $

answered Nov 27, 2019 by priyanka.clay6

1 answer

Jackie has a piece of land which was designed as shown in the figure. He wants to lawn the shaded area. $O$ is the center of the circle whose diameter is 4m and $OABC$ is a square. If the shaded area is $\frac{1}{3} $rd of the area of the square, then the side of the square is

answered Nov 27, 2019 by priyanka.clay6

1 answer

Jack shot 100m from the hole during his golf ****. But he wanted the ball to land 5 m in front of the hole, so that it can role to the hole. A 20 m tree is between his ball and the hole, 40 m from the hole and 60m from his ball. With the base of the tree as the origin, write an algebraic expression to model the height of the ball if it just clears the top of the tree.

answered Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. QUESTION : Determine the domain and range of the function in this situation.

answered Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. QUESTION: If the path of the tools height were graphed, where would the axis of symmetry be ?

answered Nov 25, 2019 by priyanka.clay6

1 answer

A construction working repairing a window tosses a tool to his partner across the street. The height of the tool above the ground is modelled by the quadratic function $h(t)=-5t^2+20t+25$, where $h(t)$ is in metres and $t$ is the time in seconds, after the toss. QUESTION: How high above the ground is the window ?

answered Nov 24, 2019 by priyanka.clay6

1 answer

Which of the following equation is equivalent to ? $\qquad \frac{2t+1}{2t^2-14t+24}+\frac{5t}{4t^2-8t-12}$

answered Nov 24, 2019 by priyanka.clay6

1 answer

The factors of $18x^2-50$ are

answered Nov 23, 2019 by priyanka.clay6

1 answer

A farmer has 450 m of fencing to enclose a rectangular area and divide it into two sections as shown. Write an equation to express the total area enclosed as a function of the width.

answered Nov 21, 2019 by priyanka.clay6

1 answer

What can be the possible values of $v$, if $12v^2+4v-3=0$

asked Nov 20, 2019 by priyanka.clay6

1 answer

If $f(x)= \sqrt{4x-3}$, what is the smallest positive value of $f(x) $ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

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