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4 years ago

The graph of f(x)=x^3 was transformed to g(x)=-(x+2)^3-4. Which transformations were applied to the graph of f(x)?

1 answer:

3 0

The negative sign reflects the graph of f(x) across the x-axis (due to the negative sign before the brackets). Next there is a horizontal shift on the x-axis 2 units left (due to x+2). After that, there is a vertical shift on the y-axis 4 units down (due to the -4)

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For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of

makkiz [27]

95% have a systolic blood pressure between 109 and 141

Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that mean (μ) = 125, standard deviation (σ) = 8.

68% are within one standard deviation = μ ± σ = 125 ± 8 = (117, 133)

95% are within two standard deviation = μ ± 2σ = 125 ± 2*8 = (109, 141)

95% have a systolic blood pressure between 109 and 141

Find out more on empirical rule at: brainly.com/question/10093236

5 0

3 years ago

For questions 5-6: Readand solve each problem. Be careful these could be surface area or volume problems. Show your work. (2 poi

BARSIC [14]

Answer:

hope the file helps

Step-by-step explanation:

Download pdf

8 0

3 years ago

DUE VERY SOON URGENT PLEASE HELP!!

Alla [95]

The values of x are

1. x = 32°,

2. x = 15°,

3. x = 49°,

4. x = 65°,

Explanation:

The angle made by any right angle is 90° and the angle made by a straight line is 180°. These are the main equations required to solve the values of x. The first 2 are right angles and the last 2 are straight lines. So the sum of the components within that right angle is 90° and for a straight line is 180°.

For diagram 1; 2x° + x° - 6° = 90°, 3x° = 90° + 6° = 96°, x = $\frac{96}{3}$ = 32°.

For diagram 2; 4x° + 3° + x° + 12° = 90°, 5x° = 90° - 15° = 75°, x = $\frac{75}{5}$ = 15°.

For diagram 3; x° + 33° + 2x° = 180°, 3x° = 180° - 33 = 147°, x = $\frac{147}{3}$ = 49°.

For diagram 4; 2x° + 1° + x° - 16° = 180°, 3x° = 180° + 15° = 195°, x = $\frac{195}{3}$ = 65°.

7 0

3 years ago

PLEASE HELP ASAP

gayaneshka [121]

Answer:

Real numbers are Closed under multiplication.

Irrational numbers are Not Closed under division.

Integers are Closed under subtraction.

Positive rational numbers are Closed under addition.

Step-by-step explanation:

a) The product of any two real numbers is a real number, so the set is closed.

b) In some cases, the quotient may be rational. (√18)/(√2) = 3, for example. So, the set is not closed.

c) The difference of any two integers is an integer, so the set is closed.

d) The sum of any two positive rational numbers is a postive rational number, so the set is closed.

Sorry if its out of order but i hope it helps enough

8 0

4 years ago

PLEASE HELP. WILL GIVE BRAINLIEST

KengaRu [80]

Answer:

x-intercepts = 1,2, and 4, y-intercept = -8

Step-by-step explanation:

x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).

Solving for x-intercepts:

We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
From here we can separate the polynomial into two binomials.
x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).

Solving for y-intercept:

The y-intercept is always the coefficient that does not have any assigned x-variables.
The coefficient is -8, thus the y-intercept.
If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
If there is no coefficient, the y-intercept is equal to zero.

4 0

3 years ago