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3 years ago

Write and Graph Inequalities

Mathematics

1 answer:

Serhud [2]3 years ago

8 0

Answer:

Turkeys with an internal temperature of less than 165° F are undercooked.

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Which algebraic expression represents “the class was divided into 6 equal groups”?

pishuonlain [190]

The algebraic expression n/6 represents that the class was divided into 6 equal groups.

3 0

4 years ago

fermium-253 has a half-life of three days. a sample contains 400 g. how long will it take for the sample to decay to 100 g?

sladkih [1.3K]

This is a relatively easy half life calculation.
After one half-life period, half of the isotope remains.
After two half-life periods, one quarter of the isotope remains.
That being the case, we see this will take 2 half-life periods or 6 days.

6 0

3 years ago

Read 2 more answers

F(x) = x2 + 2x - 2<br> Show graph

Alexandra [31]

Answer:

Step-by-step explanation:

f(x) = x2 + 2x - 2 should be rewritten using " ^ " to indicate exponentiation:

f(x) = x^2 + 2x - 2.

We find a couple of key points and use the fact that this parabola is symmetric about the line

-2

x = ----------- = -1. When x = -1, y = f(-1) = (-1)^2 + 2(-1) - 2, or 1 - 2 -2, or -3.

2(1)

Thus the vertex is at (-1, -3). The y-intercept is found by letting x = 0: y = -2. The axis of symmetry is x = -1.

Graph x = -1 and then reflect this y-intercept (0, -2) about the line x = -1, obtaining (-2, -2). If necessary, find 1 or two more points (such as the x-intercepts).

To find the roots (x-intercepts), set f(x) = x^2 + 2x - 2 = 0 and solve for x.

Completing the square, we obtain x^2 + 2x + 1 - 2 = + 1, or (x + 1)^2 = 3.

Taking the square root of both sides yields x + 1 = ±√3. One of the two roots is x = 1.732 - 1, or 0.732, so one of the two x-intercepts is (0.732, 0).

6 0

3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

Tanya [424]

Answer:

The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511

Step-by-step explanation:

Let's start defining the random variable X.

X : ''The first success is on the xth trial''

X can be modeled as a geometric random variable with the following probability function :

$P(X=x)=p(1-p)^{x-1}$

Where $P(X=x)$ is the probability of the random variable X to assumes the value ''x''.

The variable p is the success probability.

For this exercise, we define a success as someone randomly selected is a universal donor and that probability is $p=0.09$

We are looking for : $P(X=7)$

The probability function is :

$P(X=x)=(0.09)(0.91)^{x-1}$

$P(X=7)=(0.09)(0.91)^{7-1}=(0.09)(0.91)^{6}=0.0511$

6 0

3 years ago

If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the new function? Shift 3 un

Alex17521 [72]

To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.

The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.

Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.

Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).

This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.

8 0

4 years ago