Question 6
>
Consider the parabola given by the equation: f(x) = – 4x2 + 6x – 2
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two 2-Intercepts of the parabola and write them as a list, separated
by commas:
It is OK to round your value(s) to to two decimal places
> Next Question

The correct answer is an option (d): Impossible.

Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.

Answers:

====================================================

Explanation:

A rational expression is when we divide one polynomial over another. The bottom polynomial cannot be zero. We can work with single variable polynomials or multivariable ones.

The first expression has us divide the multivariable polynomial \(4a+8b\) over the constant polynomial \(12\). Therefore, the expression \(\frac{4a+8b}{12}\) is rational.

The same applies for the second expression \(\frac{3c^8}{5d^4}\) because we're dividing the polynomial \(3c^8\) over the polynomial \(5d^4\) (both of which are considered monomials, but any monomial is a polynomial). So that's why \(\frac{3c^8}{5d^4}\) is rational

------------------------

Unfortunately, the third expression is not rational. This is because the denominator is not a polynomial. The presence of the square root is the reason why.

You might be tempted to think the fourth expression isn't rational either, because we have another square root. But notice how \(\sqrt{y^4} = \sqrt{ (y^2)^2} = y^2\) which means the square root goes away after simplifying. This shows that the fourth expression is rational. Always try to see if you can simplify any root terms to make them go away (if possible). We can't do that sort of trick for problem 3.

--------------------------

The fifth expression is rational as well. The \(\sqrt{z}\) terms cancel out when we divide, so those root terms go away. We're left with one polynomial divided by another.

To summarize, everything except problem 3 represents a rational expression.

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

C. The items have different y-intercepts and different rates of change

Step-by-step explanation:

Figure I shows a linear equation in the form y = mx + b, where "m" is the rate of change and "b" is the y-intercept. That means for y = 1/4 * x - 1/2, 1/4 is the slope and 1/2 is the y-intercept.

Figure II shows a table. The y-intercept is when x = 0, so look at where x = 0 is in the table and see the y-value which corresponds to it. The y-value in this case would be -0.25. To find the rate of change, assuming Table II is changing at a constant rate, subtract the subsequent y-value from a proceeding y-value and divide that by subtracting the corresponding x-values (any two sets of x and y-values should work): (3.75 - 7.75)/(-1 - -2) = -4/(-1 + 2) = -4/-1 = 4.

Thus, we know that the rates of change are different and the y-intercepts are different for both functions.

Answer: The answer is (A) ∠T.

Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

C. 15 1/4

Quadratic function have a vertex point that it either there lowest or highest point. In this particular case the vertex point would be (0.875, 15.25) which can be turned into a fraction.

Step-by-step explanation:

Option B. Here Adam Ct. is perpendicular to Betha Dr. and Charles. So, St. Bertha Dr. || Charles St. Since they are parallel to each other

Answer: Bertha Dr. || Charles St.

Step-by-step explanation:

Parallel lines are lines in a plane that do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

A line is said to be perpendicular to another line if the two lines intersect at a right angle.

Adam Court is perpendicular to Edward Road.

Bertha Drive is parallel to Charles St.

Dana Lane is perpendicular to Edward Road.

Answer:

Solving Absolute Value Inequalities. As we know, the absolute value of a quantity is a positive number or zero. From the origin, a point located at [latex]\left(-x,0\right)[/latex] has an absolute value of [latex]x[/latex] as it is x units away. Consider absolute value as the distance from one point to another point.

Step-by-step explanation:

Answer:

Well you see an absolute value means that it will be absolute value, and inequality means not equal. (I had to make the answer more advanced ;)

Step-by-step explanation:

But thanks for the points ;)))

Answer:

A) growth; B) decay; C) growth; D) decay

A is growth because the value of b raised to the exponent is larger than 1.

B is decay because the value of b raised to the exponent is smaller than 1.

C is growth because the value of b raised to the exponent is larger than 1.

D is decay because the value of b raised to the exponent is smaller than 1.

Step-by-step explanation:

Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

Answer:

x has to be greater than or equal to 10 (x ≥ 10)

Step-by-step explanation:

x + 3 ≥ 13

x ≥ 13 - 3

x ≥ 10

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

Answer:

2.41 × 10⁻⁴

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form

\(a \times 10^n\) , where \(1\leq a < 10\) and \(n\) is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 (the value of n).

Therefore, to convert 0.000241 to scientific notation, move the decimal point 4 places to the right so that \(a\) is 2.41.  As the decimal point has been moved 4 places the right, we need to multiply 2.41 by 10⁻⁴.

Therefore,  0.000241 = 2.41 × 10⁻⁴.

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

For more such question on resistor visit:

https://brainly.com/question/4703820

#SPJ8

The product between functions f(x) and g(x) gives:

(f·g)(x) = x⁵ - 2x³ + 2x² - 8x + 4

Here we have the functions:

f(x) = x³ - 4x + 2

g(x) = x² + 2

The product:

(f·g)(x) is just the product between the two functions, this gives:

f(x)·g(x)

Replacing these functions we will get.

(x³ - 4x + 2)*( x² + 2)

Expanding that product, we will get:

x³*x² + 2x³ - 4x*x² - 8x + 2x² + 4

x⁵ - 2x³ + 2x² - 8x + 4

That is the product.

Learn more about products between functions at:

https://brainly.com/question/25638609

#SPJ1

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17  Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17  Subtract 5 from both sides

4x = 12  Divide both sides by 4

x = 3  

Three is the smaller integer and 4 is the greater integer.

The slope of the graph of this linear function is -1/2 in decimal form.

What is slope?

The formula to find the slope between 2 coordinates of a line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (6, 1) and (x2, y2) = (-6, -5)

slope = (-5 - 1) / (-6 - 6)

slope = -6/12

slope = -1/2

Therefore, the slope of the graph of this linear function is -1/2 in decimal form.

To know more about slope visit,

https://brainly.com/question/3493733

#SPJ1

Answer:

x=−x9+2x2+8

Step-by-step explanation:

Answer:

625 sq ft.

Step-by-step explanation:

25 cm is close to 25.3 so our estimate is 25 * 25 = 625.

Answer:

Area=2044..... perimeter=221

Step-by-step explanation:

Step1:- Area =1/2×breath×height

1/2×73×56

1/2×4088

= 2044

Area =2044cm^2

Step2:- Perimeter= a+b+c

=73+56+92

=221

Perimeter=221cm

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Seriously dude, c'mon

Answer:

16

Step-by-step explanation:

Here let say people drop out of the study due to relapse is x

E [x] = 10, with SD [x] = 4

let SD be the standard deviation

let say people drop out of the study area is y.

E [y] = 6, with SD [y] = 3

Now to calculate the expected number of people who will drop out due to either relapse or moving away:

E [x] + E [y] = 10 + 6

E [x] + E [y] = 16

The equation of the line in slope - intercept form is -

y = - 5x + 77.

The equation of a straight line in slope - intercept form is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation as -

77 - y = 5x

We have the equation in the slope - intercept form as -

77 - y = 5x

y = 77 - 5x

y = - 5x + 77

Therefore, the equation of the line in slope - intercept form is -

y = - 5x + 77.

To solve more questions on straight lines, visit the link below -

brainly.com/question/28951560

#SPJ1

Answer:

JKL

Step-by-step explanation:

where is the problem