All Questions ⁺⁰237687 Questions

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347

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Sequence

The Lucas numbers are defined in the same way, but with different starting values. Let L_0 be the zeroth Lucas number and L_1 be the first. If

L_0 = 2
L_1 = 1
L_n = L_(n - 1) + L_(n - 2) read more ..

Guest Jan 4, 2022

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357

2

equations

The equation of a line is y=-2x+7. What steps do I take to solve this and draw the line

Guest Jan 4, 2022

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349

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x intercept

If the X intercept is (4,0) and the y intercept is (0,-2) where would the line be? do I just graph those points and draw a line?

Guest Jan 4, 2022

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427

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Slope

What is slope intercept form if the slope is 3/4

Guest Jan 4, 2022

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405

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Math

what is 2000 x 12%

Guest Jan 4, 2022

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430

2

yo i need help with a question

Guest Jan 4, 2022

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307

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confusion!

I have a math question that is asking "what happens to the rise and run as you turn your line? What happens to the slope, and what happens when you zoom in and out (on the ghraph"

I said how as the line rotates the rise and run are read more ..

Guest Jan 4, 2022

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403

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Algebra

Two parabolas are the graphs of the equations y = 2x^2 - 7x - 1 and y = 8x^2 - 2x - 5. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.

Guest Jan 4, 2022

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299

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Polynomial

Let f(x) = x^4+ax^3+bx^2+cx+d, where a,b,c,and d are real numbers. Suppose the graph of y=f(x) intersects the graph of y=2x+3 at x =1,2,3. What is the value of f(0) + f(4)?

Guest Jan 4, 2022

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287

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Algebra

Let y = (x - 3)/(x + 1). The equation can be expressed in the form (x+a)(y+b)=c. Find a, b, c.

Guest Jan 4, 2022

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271

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Domain

What real values of x are not in the domain of
$f(x) = \frac{1}{|x^2 + 3x - 4| + |x^2 + 9x - 10|}$

Guest Jan 4, 2022

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430

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Domain

How many real numbers are not in the domain of the function
f(x) = 1/(x - 64) + 1/(x^2 - 64) + 1/(x^3 - 64) + 1/(x^4 - 64)

Guest Jan 4, 2022

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416

1

Counting

A rectangular prism 3cm x 5cm x 9cm is painted mauve and is then cut into 1cm^3 cubes. What is the total unpainted surface area of these cubes?

Guest Jan 4, 2022

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340

2

Geometry

Right triangle ABC has one leg of length 6 cm, one leg of length 10 cm, and a right angle at A. A square has one side on the hypotenuse of triangle ABC and a vertex on each of the two legs of triangle ABC. What is the length of one side of the square read more ..

Guest Jan 4, 2022

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480

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Need help with piecewise functions, a solution would be appreciated.

If\[f(x) = \begin{cases} 2x-5 &\quad \text{if } x \ge 3, \\ -x + 5 &\quad \text{if } x < 3, \end{cases} \]then for how many values of $x$ is $f(f(x)) = 3$?

Guest Jan 4, 2022

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415

2

Geometry

The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65, while the difference in their areas is 63. Find the sum of read more ..

Guest Jan 4, 2022

Jan 3, 2022

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278

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Algebra

Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a\cdot g(x)?

Guest Jan 3, 2022

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390

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Coordinates

What is the area in square units of the convex quadrilateral with vertices (-1, 0), (0, 1), (-2, 0) and (0, -3)?

Guest Jan 3, 2022

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283

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Polynomial

Let f(x) = x^4+ax^3+bx^2+cx+d, where a,b,c,and d are real numbers. Suppose the graph of y=f(x) intersects the graph of y=2x+3 at x =1,2,3. What is the value of f(0) + f(4)?

Guest Jan 3, 2022

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424

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Probability

Alex has a bag with 4 red marbles and 2 blue marbles. He draws a marble from the bag, sets it aside, and then draws another marble from the bag. What is the probability that both marbles that Alex drew are red? (Write your answer as a simplified fraction.) read more ..

Guest Jan 3, 2022

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449

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Half donuts

Mrs. Thompson made six dozen donuts for the third grade festival. There are two third grade classes, so Mrs. Thompson split up the donuts and gave an equal number of donuts to each class. Mrs. Pound, one of the third grade teachers, was so happy. "Thank read more ..

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Guest Jan 3, 2022

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438

1

Geometry

Triangle ABC is a right triangle with BAC = 90 and angle B > angle C. Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the trianlge, and $\angle PAQ = 15^\circ$. If P is on BQ, then read more ..

Guest Jan 3, 2022

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290

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Counting

Find the number of triples (a, b, c) of positive integers, such that 1 <= a, b, c <= 100 and a^2 + b^2 + c^2 = ab + ac + bc = 81.

Guest Jan 3, 2022

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378

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Help

Adam made potato salad for the picnic. He made 20 cups of salad. At the end of the picnic, there were 3 3/4 cups of salad left. How many cups of salad were eaten at the picnic?

Guest Jan 3, 2022

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