Document 1.46MB

This study guide provides instructions for performing translations, rotations, reflections, and dilations of geometric figures. Worked...

Document 1.46MB

This study guide provides instructions for performing translations, rotations, reflections, and dilations of geometric figures. Worked...

x² - 3x - 28 = 0 This quadratic equation factors. You want two factors that multiply to give -28 and add to give -3. The factors are -7 and 4: (-7)(4) = -28 and -7 + 4 = -3 (x-7)(x+4) = 0 x = 7 and -4

bob runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes (answer)

Equal ratios: 7/50 = x/75 Solve for x.

How do you find the maximum acceleration? First you need to determine the acceleration by taking the second derivative of x(t), a(t) = d²x(t)/dt² Next, take the first derivative of a(t). Find the extreme points by setting da(t)/dt = 0 and solving for t. To determine if each...

Factor the polynomial and use the factored form to find the zeros. P(x) = x^4 − 3x^3 + 2x^2 (answer)

P(x) = x4 − 3x3 + 2x2 P(x) = x²(x² - 3x + 2) P(x) = x·x(x-1)(x-2) Zeros are at x = 0, 0, 1, 2 P(x) is degree 4, so it will have four roots. You only entered three which is probably why it came up as wrong. The x² term has a multiplicity of...

You need to know what the graph of g(x) = 2x looks like. It's probably in your text book, or you can look it up on the internet. Changing the 2 to -2 flips (reflects) the graph across the x-axis. The -1 moves the whole graph down 1 along the y-axis.

5x - 13y = 3x - 8y 2x = 5y (2/5)x = y < Oops, made a mistake. See comment below for corrected answer.

A right angle = 90°. To trisect means to cut into three equal parts, so 90°/3 = ___°

Can someone please help? (answer)

𝑓(𝑥) = 𝑥2 − 7𝑥 + 4 𝑎𝑛𝑑 𝑐 = 2 Evaluate directly: f(c) = f(2) = 22 - 7·2 + 4 = 4 - 14 + 4 = -6 Evaluate via Synthetic division and the Remainder Theorem. Divide x2-7x+4 by x-2. The remainder will equal f(c=2): 2...

f(x) = 8 − x² y = 8 − x² x = 8 - y² y² = 8-x y = √(8-x) f-1(x) = √(8-x), x ≤ 8

If f(x) = 9 − 7x, find f −1(−5). (answer)

f(x) = 9 − 7x -5 = 9 - 7x -14 = -7x 2 = x f-1(-5) = 2

What is the angle of a (answer)

a + b + c = 180° a + a + a + 69° = 180° 3a + 69° = 180° Solve for a. Once you have a, b= a and c = a+69°.

The formula for the gravitational potential energy near the earth's surface is given below. Be sure all quantities are in the same system of units (SI). PE = m·g·h PE = gravitational potential energy m = mass in kilograms = 10 kg g = acceleration due to gravity =...

As David points out, the problem is difficult to understand as stated. I think you left some of the problem out. I think it's "what number multiplied by 8, with 15 subtracted from the product, is equal to 41"? The number is x Multiplied by 8 is...

Do you have a question or are you merely stating a fact? Yes, 3 x 3 x 3 x 3 x 3 x 3=36 and 36 is in exponential form, base of 3 exponent of 6.

You only gave us part of the problem, but here's the general approach. First, put the equation into the slope-intercept form (y = mx + b): 6x + 2y = 12 2y = -6x + 12 y = -3x + 6 To find ordered pairs, simply plug in any value for x and...

College Physics (answer)

The key point here is that velocity is a vector. Hence it has a horizontal speed (v) and a vertical speed (u) that are independent. So how long will it take the ball to fall 100 m? d = (1/2)gt² 100 = (1/2)(9.8)t² 20.41 = t² 4.52 = t So horizontally,...

Y axis kinematics (answer)

Ignoring air resistance: h(t) = (1/2)gt² h(t) = distance stone has dropped g = acceleration due to gravity = 9.8 m/s² t = time since stone was dropped (in seconds) = 8.39 sec h(t) = (1/2)gt² h(t) = (1/2)(9.8)(8.39)² Use your calculator...

Solve. A bucket has 21 liters of water in it when it is three fifths full. How much can it hold? (answer)

Let x be the amount of water the bucket can hold when full: (3/5)x = 21 Solve for x.

Astronomy----> White Dwarfs (answer)

Spectral classes F, G, K, and M on the main sequence eventually evolve into a white dwarf. Spectral classes O, B, and A typically supernova and form neutron stars. So it looks like C is the answer.