Please help me with this problem i am not sure if what I calculated is correct please help.Let f(x)=12x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)? Enter your answer in the box.g(x) = ---------

Answer: Say you have a line with a slope of -4. What is the slope of the line perpendicular to it? First, take the negative of the slope of your line -(-4) = 4 Second, take the inverse of that number. 4 is a whole number so its denominator is 1. The inverse of 4/1 is 1/4.

Step-by-step explanation:

The rate of change between a and b is -5, and between x and x + h is also -5.

For a function f(x) the formula for the rate of change on an interval [a, b] is:

( f(b) - f(a))/(b - a)

so if the function is f(x) = -5x - 8, the average rate of change will be:

( -5b - 8 + 5b + 8)/(b - a) = 5*(a - b)/(b - a) = -5

c) Now we want to use the interval [x, x + h], we will get:

( -5*(x + h) - 8 + 5*x + 8)/(x + h - x)

= (-5h)/h = -5

Again, the rate is -5

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Answer:

Step-by-step explanation

answer is f(x)=6x

The equation solved for the variable p is p = √Qt + r

A subject of formula can simply be defined as the variable in an equation or given expression that is being worked out.

The subject is mostly made to stand on its own on one end of the equality sign.

It is also described as the variable mathematical written in terms of other variables found in an equation or expression.

Given the expression;

Q = p^2 - r / t

To solve for , we take the following steps

cross multiply

p^2 - r  = Qt

Now, collect the variable 'r' over the equality sign, we have;

p² = Qt + r

Now, to make 'p' stand alone, find the square root of both sides

√p² = √Qt + r

p = √Qt + r

Hence, the expression is p = √Qt + r

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We know rate and time are inverses of each other.

Let's take the inverse of each time to find their rates.

Alberta Emery

It takes her 3 days to sew a dress. So, her rate is 1/3

Allison Taylor

It takes her 2 days to sew a dress. So, her rate is 1/2

Their combined rate (when working together) is '1/3 + 1/2'

We know

rate x time = job completed

We can use the combined rate (just found) and jobs = 30 dress, to find the time it will take both of them working together to sew 30 dresses.

The equation is,

Solving for "t", we get,

So, it will take them 36 days to sew 30 dresses if they work together.

Answer:

- From the information given, S and L was sold into a total of 46 shirts to get $718

- In terms of quantity of shirts; [1 st equation]

[tex]{ \rm{S + L = 46 \: - - - (eqn \: a)}} \\ [/tex]

- In terms of money income and outcome; [2 nd equation]

[tex]{ \rm{17S + 13L = 718 - - - (eqn \: b)}} \\ [/tex]

- Further more as per the question;

- From 1st equation;

[tex]{ \rm{S = 46 - L - - - (eqn \: c)}}[/tex]

- From equation c, substitute for S in equation b;

[tex]{ \rm{17(46 - L) + 13L = 718}} \\ \\ { \rm{782 - 17L + 13L = 718}} \\ \\ { \rm{ - 4L = - 64}} \\ \\ { \rm{L = 16}}[/tex]

- Substitute for L in equation c;

[tex]{ \rm{S = 46 - 16}} \\ { \rm{S = 30}}[/tex]

30 Short sleeved shirts were sold, earned $510

16 Long sleeved shirts were sold, earned $208

We need to find the value of x and y:

First, let solve the x variable:

Subtract 10y on both sides

Then divide by 8 into both sides :

Replace the x value into the first equation:

Now, solve the equation for y:

Let x is the number multiplied by 2.2 gives 15.51

So:

Hence option D is correct.

Solution

Given

Face value(pricipal), p = 12,000

Rate, r = 8%

Number of years, t = 1

Simple interest = prt/100

The simple interest = 960

Maturity value = Principal + interest

= 12,000 + 960

=12,960

The ordered quantity, 0.7 mg, is outside the recommended dosage permissible range.

The range is a statistical measure of dispersion in mathematics, or how widely spaced a given data collection is from smallest to largest. The range in a piece of data is the distinction between the highest and lowest value.

It is given the maximum, and minimum dosage of medicine is 0.35 and 0.175 mg, respectively.

So, permissible range=[0.175,0.35]

0.7 mg of medicine is ordered.

Note that 0.7>0.175.

Also, 0.7>0.35

That means 0.7 does not lie in the permissible range.

So, the ordered quantity, 0.7 mg, is outside the recommended dosage range.

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To solve this problem we can apply the rule of three, in our case

Then, 12 lb of oranges will cost

Therefore, 12 lb of orange will cost $27.72.

Given

Procedure

Rational numbers: In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Real numbers: In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).

Given data:

The given graph.

The range is the value of y, for which the given function is defined.

Thus, the range of the given graph is [0, ∞).

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph). Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Our function starts increasing, and approximately at x = 2, it starts decreasing, which means this is a relative maximum point, and this is also the greatest possible value for our function, therefore, this is also an absolute maximum. There are no further critical points.

SOLUTIONS

To solve for y in 2x – 17y = 13

Make y the subject of formular

divide both side by 17

Therefore the value of y is

The price of an ice cream, as calculated with the help of given function is 3.5

What is function in mathematics?

A function is a relationship between a set of inputs and a set of permitted outputs, and it has the property that every input is connected with exactly one output. If every element in set A has one end and only one image in set B, then the mapping from set A to set B is merely a function. Choose any two non-empty sets for A & B.

In order to get price of 1 ice cream, we will first calculate the amount left after purchasing 2 ice creams and the amount left after purchasing 1 ice cream with the help of given function. then we will do subtraction to get the answer.

The amount left after purchasing 2 ice creams:

given function is: g(c)=75-3.5c

putting c = 2

g(2) = 75 - 3.5(2)

g(2) = 68

So, the amount left after purchasing 2 ice creams.

The amount left after purchasing 1 ice cream1:

given function is: g(c)=75-3.5c

putting c = 1

g(2) = 75 - 3.5(1)

g(2) = 71.5

So, the amount left after purchasing 1 ice cream.

Subtracting the amount left after purchasing 2 ice cream from the amount left after purchasing 1 ice cream.

71.5 - 68

= 3.5

Hence, the price of an ice cream is 3.5.

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this is:

grade = g, so

The slope of the line that passes through 3, 9  and 1, 12 is -3/2

From the question, the points are given as

3, 9  and 1, 12

Rewrite the above points properly

So, we have the following ordered pairs

(3, 9)  and (1, 12)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (3, 9)  and (1, 12)

Substitute the known values in the above equation

So, we have the following equation

Slope = (12 - 9)/(1 - 3)

Evaluate

Slope = -3/2

Hence, the slope of the line is -3/2

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Let:

Answer:

Step-by-step explanation:

Equation of the line in point-slope form:

Convert the equation into slope-intercept form of y = mx + b:

Correct choice is D

Answer:

[tex]\textsf{D.} \quad y=\dfrac{2}{3}x+\dfrac{10}{3}[/tex]

Step-by-step explanation:

Given equation:

[tex]y-4=\dfrac{2}{3}(x-1)[/tex]

Distribute the parentheses on the right side of the equation:

[tex]\implies y-4=\dfrac{2}{3}x-\dfrac{2}{3}[/tex]

Add 4 to both sides:

[tex]\implies y-4+4=\dfrac{2}{3}x-\dfrac{2}{3}+4[/tex]

[tex]\implies y=\dfrac{2}{3}x-\dfrac{2}{3}+4[/tex]

Rewrite 4 as 12/3:

[tex]\implies y=\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{12}{3}[/tex]

[tex]\implies y=\dfrac{2}{3}x+\dfrac{12}{3}-\dfrac{2}{3}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]

[tex]\implies y=\dfrac{2}{3}x+\dfrac{12-2}{3}[/tex]

[tex]\implies y=\dfrac{2}{3}x+\dfrac{10}{3}[/tex]

Therefore, the equation that is equivalent to the given equation is:

[tex]\boxed{y=\dfrac{2}{3}x+\dfrac{10}{3}}[/tex]

Answer:

Domain: A, [tex][2, \infty)[/tex]

Range: A, [tex](-\infty, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

you will suffer inpain with hell

To answer this question we will set and solve a system of equations.

Let A be the time (in hours) that it would take Company A to clear the parcel of land alone, and B be the time (in hours) that it would take Company B to clear the parcel of land alone.

Since working together, the two companies can clear the parcel of land in 8 hours, and wirking alone, it would take Company A 10 hours longer than Company B, then we can set the following system of equations:

Substituting the second equation in the first one we get:

Simplifying the above result we get:

Multiplying the above result by (B+10)B we get:

Simplifying the above result we get:

Subtracting 16B+80 from the above result we get:

Using the quadratic formula we get:

Since a negative value of B has no real meaning, we get that:

Answer: 12.4 hours.

Answer:

2

Step-by-step explanation:

because i say so and i am older

Given;

There are given that the 6 inches by 10-inch rectangle.

Explanation:

dilated by a factor of three means that the two dimensions needed for the area are multiplied by 3.

So,

The width of the rectangular is:

And,

The length of the rectangular is:

Then,

The area of dilated rectangular is:

Final answer:

Hence, the area of the dilated rectangle is 540 inch^2.

The given quadratic equation is;

This can be written properly as;

The discriminant is used to test for nature of roots of a quadratic equation and it is given by the equation;

From the given quadratic equation;

Thus, the discriminant will be;

Since the discrimiant has a value(-7) less than zero(0), thus it has two(2) complex roots.

Hence, the correct option is option B

In any experiment, all the possible out comes are well defined. So,

A process for which its result is well defined is called a/an experiment.

Answer: Experiment

We know that polar coordinates are defined as:

in this case we have the point (-2,-2); this means that x=-2 and y=-2. Plugging this value for the radius we have that:

Plugging the values for the angle we have:

for the angle we need to be careful, we know that the point (-2,-2) in on the third quadrant, this means that the angle is greater than pi but when we use the formula we got pi/4; this comes from the fact that the formula for the angle determines the angle measure in the quadrant we are at. This means that we need to add the appropiate amount to the angle found by this formula to find the correct one. In this case, since we are on the third quadrant, we need to add pi to the angle we found, then we have:

Hence the correct angle is 5pi/4.

Therefore the polar coordinates of the angle are:

By definition, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients.

In this case, the monomial with the highest degree is

Then, the degree of the polynomial is 9 and the correct answer is B. 9.

16 number of  Kwanzan cherry saplings he planted.

Let the gardener plant the no of Crab apple saplings was x

Since the no of  magnolia in saplings he planted was 3 less than crab apple saplings.

Therefore, the no. of magnolia Saplings planted was x-3

Also, the Kwanzan Cherry sapling planted amounted to twice the number of magnolia.

Therefore, the Kwanzan Cherry sapling was. planted by him 2(x-3)

Conditionally,

                   x+(x-3)+2(x-3) = 35

                    = x+x-3 +2x-6 = 35

                    4x = 44

                    x = 11

Hence the no. of kwanzan Cherry sapling. he planted was

                  =2(11-3).

                    2x8 = 16

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