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Type: Posts; User: kadence

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  1. Replies
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    Thanks Elisabeth!

    Thanks Elisabeth!
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    exponents simplification

    Which of the following is equal to (x^4)^5+(y^4) (y^5) ?

    (A) x^{20} \cdot y^9

    (B) x^9+y^{20}

    (C) x^{20}+y^{20}

    (D) x^9+y^9
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    2,797

    Thanks Elisabeth!

    Thanks Elisabeth!
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    2,797

    fraction simplification

    Which of the following is equal to \sqrt{\frac{4}{7}}?

    (A) \frac{2}{7}

    (B) \frac{2\sqrt{7}}{7}

    (C) \frac{4}{\sqrt{7}}

    (D) \frac{4\sqrt{7}}{7}
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    By using calculator we can easily find the roots...

    By using calculator we can easily find the roots of the quadratics , then factorize them and cancel out like factors, if any as follows:

    \frac{x^2-6x+8}{ x^2+3x-10}=\frac{(x-2) (x-4)}{(x-2)...
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    Let x be the greatest number and x-3, \ x-2, \...

    Let x be the greatest number and x-3, \ x-2, \ x-1, \ x [tex]be the four consecutive integers.

    If their sum (S) is 394 then we construct the following equation:
    [tex]S= x-3+x-2+x-1+x=4x-6=394...
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    2,601

    Two consecutive sides of a square are...

    Two consecutive sides of a square are perpendicular to each other and form a right angled triangle with the diagonal.

    From the Pythagoras’ theorem
    a^2+a^2=d^2 \Rightarrow 2a^2=d^2 \Rightarrow...
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    The 40% of b where b=24 is equal to 0.4 \cdot...

    The 40% of b where b=24 is equal to 0.4 \cdot 24=9.6 .

    The 20% of a is equal to 0.2 \cdot a=9.6 \Rightarrow

    a=\frac{9.6}{0.2}=48


    Therefore the correct answer is (C).
    Hope these help!!
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    2,727

    The area of a circle with radius r is given by...

    The area of a circle with radius r is given by the following formula
    A=\pi r^2

    So, A=\pi r^2=3\pi \Rightarrow r^2=3 (1)

    If the radius of this circle is tripled i.e. 3r the new area is equal...
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    sat math ratios problem

    x is 40% less than y can be written as x=(1-0.4)y \Rightarrow \frac{x}{y}=0.6

    Therefore the correct answer is (B).

    Hope these help!!;);)
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    Let x be the total number of officers in this...

    Let x be the total number of officers in this camp. The number of senior officers would be 0.25x and the number of junior officers would be 0.75x.

    The total monthly wages of all senior officers...
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    Thank you kadence!

    Thank you kadence!
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    2,854

    From the following identity we have that ...

    From the following identity we have that

    a^2+b^2=(a+b)^2-2ab=(14)^2-2(40)=196-80=116

    Therefore the correct answer is (A).
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    All of the choices can be interpreted as...

    All of the choices can be interpreted as quadratic inequalities with roots a=-4 \ or \ a=1 . The leading coefficient(s) for (I) and (III) are positive while for (II) is negative.

    Therefore, for...
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    solving inequalities

    Solving the following inequality for x
    x^2-4x>0
    x(x-4)>0
    Inserting the roots 0, 4 in the number line below and starting from the right with + since the leading coefficient is positive, we have...
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    SAT permutations with repetition

    SAT math permutations with repetition



    Having n items, where there are {n}_{1},{n}_{2},..,{n}_{k} that are identical. The number of ways to permute them is given by the following formula:
    ...
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    Parallel lines angles

    Parallel lines angles question


    Definitions
    A transversal is a line that interesects two or more lines.
    Alternate interior angles are two non adjacent interior angles on opposite sides of a...
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    SAT math geometry question

    SAT math geometry




    The triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side and the reverse triangle...
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    SAT simultaneous equations

    SAT math simultaneous equations

    \begin{cases} 4x+ 2y=8 \\ x + y=3 \end{cases}

    The method of elimination or addition (step-by-step) is:

    In the elimination method, the object is to make the...
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    SAT math simultaneous equations

    SAT math question about simultaneous equations

    \begin{cases} 4x+ 2y=7 \\ x + y=3 \end{cases}

    The method of substitution (step-by-step) is:

    1.Solve one of the equations for one unknown in...
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    2,302

    Thank you kadence!!

    Thank you kadence!!
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    SAT maths quadratic

    SAT math Quadratic Equation

    Since 3 is a root of the following equation:

    2x^2+3x+m=0

    you have to replace x with 3 and then solve for m

    2(3^2)+3(3)+m=0
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    SAT mathematics Quadratic equation

    SAT mathematics Quadratic equation

    To solve a quadratic equation by factoring:
    1. Start with the equation in the form ax^2+bx+c=0

    2. Factor the left hand side

    3. Set each factor equal...
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    SAT math Quadratic Equations

    SAT math question about Quadratic Equations

    The discriminant of the quadratic in terms of m is

    \Delta=b^2-4ac=(m+3)^2-4(m+6)=m^2+2m-15=(m+5)(m-3)

    For the quadratic equation to have one real...
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