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Artyom0805 [142]
3 years ago
11

Which of the following is the graph of f(x)= |x| reflected on the x-axis, translated 3units left, 4 units up, and dilated by a f

actor of 4?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

Step-by-step explanation:

Reflecting on the x-axis is multiplying the formula by a -1. That is, the resulting form is pointing up. When translated to the left 3 units, the tip of the graph is at the point (-3,0). Then when shifted 4 units up the tip is at (-3,4). Dilated by a factor of 4 will affect the values in x, but not the values in y. So the tip remains at the point (-3,4) which corresponds to the second graph

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Solve y = −23(x + 9) + 4 for x when y = 0.
Vlad [161]

Answer:

x = -203/23

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

y = -23(x + 9) + 4

y = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                  0 = -23(x + 9) + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                        -4 = -23(x + 9)
  3. [Division Property of Equality] Divide -23 on both sides:                                4/23 = x + 9
  4. [Subtraction Property of Equality] Subtract 9 on both sides:                        -203/23 = x
  5. Rewrite:                                                                                                             x = -203/23
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Step-by-step explanation:

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Find the four rational numbers and irrational numbers between 2/5 and 5/6
Savatey [412]
The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}

That's a lot of work to get a number in between.  We can just see

\frac 1 2
is between the two numbers.

The mediant, or freshman addition, will always be in between:

\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}

2/5=.4 and 5/6 is about .83, so

.6 = \frac{6}{10}

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like \frac{6}{10} + \frac{\pi}{100}

We could just change that denominator a bit and get as many as we like.

But let's get some square roots.  The geometric mean will be between

\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}&#10;

That's the tangent from one of trig's biggest cliches, but I digress.  It's in between.

While we're on trig cliches, 

\dfrac{1}{\sqrt{2}}

is in between as well.

Keeping with the trig theme, also in between are

\dfrac{\pi} 6

and

\dfrac{\pi}{4}


the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.



7 0
3 years ago
I need help with this
Monica [59]

Using derivatives, it is found that regarding the tangent line to the function, we have that:

  • The slope is of 962.
  • The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

7 0
2 years ago
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