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daser333 [38]
2 years ago
13

Write the equation of the absolute value function y = 3|x| translated right 8 units and up 1 unit.

Mathematics
1 answer:
Reil [10]2 years ago
6 0

Answer:

Step-by-step explanation:

y=3|x|, shift right 8 units

y=3|x-8|, shift up 1 unit

y=3|x-8|+1

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A polynomial has zeros x=0, x= -3, X = 4. What are some possible factored equations for this fourth degree polynomial.
kati45 [8]

Answer:

x^{2} (x + 3)(x - 4)

Step-by-step explanation:

You can multiply this out to get the full equations.

It's to the 4th degree so the x on the outside has to be squared to add the fourth degree.

To get other zeros:

x + 3 = 0

x = -3

x - 4 = 0

x = 4

Hope this helped. :0)

5 0
2 years ago
I need help in this section.
Phoenix [80]

Answer:

\frac{1}{45}

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5  [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9  [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is  \frac{1}{45}

6 0
2 years ago
Find all polar coordinates of point P = (6, 31°). Im really struggling with this problem and I can't seem to find a consistent a
Kaylis [27]

Answer:

1. (6, -329°) (-6, 211°) (-6, -149°)  

2. (5, -5π/3) (-5, 4π/3) (-5,-2π/3)

Notice: (+,+),(+,-),(-,+),(-,-).

If we consider angles beyond 360° or 2π, many other names for these points can be determined.

The polar coordinate can be written as (r, θ) = (r, θ + 2nπ) or (r, θ) = [ - r, θ + (2n + 1)π ], where n is any integer

3 0
3 years ago
Read 2 more answers
Find −2310+425. Write your answer as a mixed number in simplest form.
Kamila [148]
Answer: -1885/1

Explanation: The solution to -2310 added to 425 is -1885. And in order to make this whole number a fraction, you must add a 1 as the denominator.
3 0
2 years ago
What is the equation of a line perpendicular to y=1/4x+2 that passes through the point (0,1)
ipn [44]

Answer: y = -4x + 1 or y = 1 - 4x

Step-by-step explanation:

First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.

This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.

Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.

Plug in the values.

1 = -4(0) + b

Simplify.

1 = 0 + b

1 = b

Our y-intercept is 1.

Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).

y = -4x + 1

8 0
2 years ago
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