All Questions ⁺⁰237767 Questions

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When the polynomial is divided by the remainder is . When is divided by the remainder is Find

When the polynomial f(x) is divided by (x-3) the remainder is 15. When f(x) is divided by (x-1)^2 the remainder is 2x+1 Find the remainder when f(x) is divided by (x-3)(x-1)^2

Guest Jun 29, 2023

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142

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ellipse

The equation of an ellipse is
\[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,\]
A circle is drawn so that it is contained in the ellipse, its center lies on the x-axis, and it touches the ellipse only at the point (a,0). If a = b = 5, find the read more ..

Guest Jun 29, 2023

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124

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ellipse

The foci of an ellipse are at $(2, -3 + \sqrt{5})$ and $(4,-8).$ If the ellipse is tangent to both the $x$-axis and $y$-axis, then find the length of the major axis.

Guest Jun 29, 2023

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128

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system

Find the ordered triple (p,q,r) that satisfies the following system:
p - 2q = 3
q - 2r = -2 + q
p + r = 9 + p read more ..

Guest Jun 29, 2023

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144

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equation

Find all values of x such that \sqrt{4x^2} + \sqrt{x^2} = 6 + 3x.

Guest Jun 29, 2023

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133

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+6

Need Help ASAP

In how many ways can you distribute 8 indistinguishable balls among 5 distinguishable boxes, if at least one of the boxes must be empty?

SP2468 Jun 29, 2023

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119

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system

plz help with systems
For certain values of k and m, the system
3a + 2b = 2
6a + 2b = k + 3a + mb read more ..

Guest Jun 29, 2023

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121

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solve

Solve for the variable x in terms of y and z, assuming y \neq \frac{1}{2}:
xy + x = \frac{3x + 2y + z + y + 2z}{3}

Guest Jun 29, 2023

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135

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help plz

this might seem easy but i am easily confused.
Find the number of ways that Magnus can give out 10 identical stickers to 8 of his friends. (Not everyone has to get a sticker.)

Guest Jun 29, 2023

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133

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proportion

I need help with this
In physics, Ohm's law says that current through a wire, I, is directly proportional to voltage, V, and inversely proportional to resistance, R:
I = V/R
It's also true that resistance is directly proportional read more ..

Guest Jun 29, 2023

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124

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help geometry

In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

Guest Jun 29, 2023

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I need some help with this question,i couldn't find it in any books

Problem: Let f(x) be a differentiable function such that f(0) = 1 and f'(x) = f(x) + e^x + x^2 - 2, where e is the mathematical constant approximately equal to 2.71828.
a) Find the value of f(1).
b) Find the x-coordinate(s) of the point(s) read more ..

Guest Jun 29, 2023

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136

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solve

Solve 3a + 4b = 5a - 6b + 24 - 3a for a in terms of b.

Guest Jun 29, 2023

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134

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triangle

Help Im bad at geometry
In triangle ABC, let the angle bisectors be BY and CZ. Given AB = 16, AY = 16, and CY = 16, find BC and BZ.

Guest Jun 29, 2023

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130

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polynomial

The polynomial p(x) = x^2+ax+b has distinct roots 2a and b. Find a+b.

Guest Jun 29, 2023

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124

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quadratic

Let a and b be the roots of the equation 2x^2 - 7x + 2 = x^2 - 6x + 3. Find 1/(a-1)+1/(b-1)

Guest Jun 29, 2023

+1

127

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+131

Functions

If , find the value of

SportzGuy2310 Jun 29, 2023

Jun 28, 2023

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114

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solve

If I give my brother 5 dollars, then we will have the same amount of money. If instead he gives me 25 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

Guest Jun 28, 2023

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128

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help geometry

This is some very hard geometry
Triangle XYZ is equilateral. Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ. If the read more ..

Guest Jun 28, 2023

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138

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need help

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

Guest Jun 28, 2023

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109

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+8

Science and Salt

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80% salt . She wants to obtain 110 ounces of a mixture that is 60% salt. How many ounces of each read more ..

bluemix Jun 28, 2023

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125

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help plz

Catherine rolls a standard 6-sided die six times. If the product of her rolls is then how many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Jun 28, 2023

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