Which statement correctly compares the function on this graph with the function y=2x-5?

As per area of rectangle, the dimensions of the box that yield the lowest cost is (1,1,6)

Area of rectangle:

The standard formula for area of rectangle is calculated as,

A = length x breadth

Given,

A closed rectangular box with volume 6 cubic feet is made from two different types of cardboard. the top and bottom are made with a heavy-duty cardboard that costs 30 cents per square foot. The sides are made from a light-weight cardboard that costs 5 cents per square foot.

Here find the dimensions of the box that yield the lowest cost.

Here let's consider the dimensions of the rectangular box be length l, breadth is b, and height is h.

Now, from the given information, the total cost can be derived as,

=> C=2lb×48+(2bh+2lh)×8

=> C=96lb+16bh+16lh

=> C=16(6lb+bh+lh) -----------------→(1)

Then the given volume is, V = lbh = 6 ---------------→(2) cubic feet.

Then the equation 2,

=> lbh = 6h = 6/lb

And then we have to substitute the value of h in equation 1, we get

=> C(l,b,h)=16(6lb+6/l+6/b)

Now we need to minimize the resulting function of two variables.

Therefore, we need to partially derivative the above function with respect to l,b. And set these equal to zero.

And the for l=0,b is undefined. So we can eliminate l=0.

Here we have to substitute l=1,b=112⇒1 in equation 2, we get

=> lbh=6(1)(1)h=6h=6h=6

Therefore, the critical point is, (1,1,6)

To know more about Area of rectangle here.

https://brainly.com/question/20693059

#SPJ4

Answer:

3x2a2-15xa+10

Step-by-step explanation:

[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands

The inverse of the function f(x) = 4x is inverse of f(x) = x/4.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

F(x)= 4x

Let , y=4x

Now we will switch the variables x to y,

x= 4y

Simplify the expression so that y is by itself. And divide each side by 4

x/4= y

or f(x)= x/4.

Therefore, the inverse of the function f(x) = 4x is inverse of f(x) = x/4.

To learn more about the function;

https://brainly.com/question/28303908

#SPJ1

Answer: 29%

Step-by-step explanation:

To find the percent of decrease, you need to first calculate the difference between the original cost and the current cost of the TV. You can do this by subtracting the current cost from the original cost: $700 - $500 = $200.

Next, divide the difference by the original cost and multiply by 100% to express the result as a percentage: ($200 / $700) * 100% = 28.57%.

Rounding this result to the nearest whole percent, we get that the percent of decrease is 29%.

Rounded to the nearest whole percent, the answer is 29%.

Answer:

x = 2

Step-by-step explanation:

6 : 4 = 3 : x

x = 4 * 3 / 6

x = 4/2

x = 2

The value of x in the given figure is 2

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Given that, Triangle ABC is dilated into A'B'C'

We know that dilated triangles are similar

Hence, their corresponding sides are in equal ratio,

BC : B'C' = AC : A'C'

6 : 4 = 3 : x

x = 4 × 3 / 6

x = 4/2

x = 2

Hence, The value of x in the given figure is 2

For more references on dilation, click;

https://brainly.com/question/13176891

#SPJ2

The probability that the two pets selected are of the same species  is 0.2426   .

In the question ,

it is given that ,

the number of puppies in the pet store = 6

the number of kittens in the pet store = 9

the number of lizards in the pet store = 4

the number of snakes in the pet store = 5

total animals = 24

the probability of selecting 2 puppies = ⁶C₂/²⁴C₂

the probability of selecting 2 kittens = ⁹C₂/²⁴C₂

the probability of selecting 2 lizards = ⁴C₂/²⁴C₂

the probability of selecting 2 snakes = ⁵C₂/²⁴C₂

So , the required probability is

= ⁶C₂/²⁴C₂  + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂  + ⁵C₂/²⁴C₂  

Simplifying further ,

we get ,

= 5/92 + 3/23 + 1/46 + 5/138

= 0.0543 + 0.1304 + 0.0217 + 0.0362

= 0.2426

Therefore , the required probability is 0.2426   .

The given question is incomplete , the complete question is

The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?

Learn more about Probability here

https://brainly.com/question/14570375

#SPJ4

The equation that represents the number of pages Ben can read per minute is p = (3/4)m.

The two quantities are said to be in a directly proportionate relation when the connection between them is such that if we increase one, the other will also increase, and if we reduce one, the other quantity will also drop.

If x and y are in direct proportion then

=>  x ∝ y

=>  x = ky  [ where k is constant ]

Here we have,

Ben reads 6 pages in 8 minutes

9 pages can be read in 12 minutes

30 pages can be read in 40 minutes

And the number of minutes = m

Number of pages = p

If observe the given data,

When the number of pages increases, the number of minutes are also increasing, So here we can conclude that the number of minutes is directly proportional to the number of pages

=> p ∝ m

=> p = km --- (1)  

[ where k is constant ]  

From the given data,

At p = 6 pages, m = 8 minutes

=> 6 = k(8)

=> k = 6/8 = 3/4

From (1)

=> p = (3/4)m

Therefore,

The equation that represents the number of pages Ben can read per minute is p = (3/4)m

Learn more about Direct Proportion at  

https://brainly.com/question/28730073

#SPJ1

∫[tex]r(t)dt=[/tex][tex](0,t,\frac{t^2}{2} )+c[/tex] is accurate in its statement.

A definite integral whose limits are functions of the differential variable can be differentiated using Newton Leibniz Theorem's formula. Differentiation under the integral sign is another name for this. When limits are functions of the differential variable, the Newton Leibniz Theorem makes it simple to handle problems involving the differentiation of a definite integral.

Suppose that F(x) is a function whose derivative is f(x). Consequently, abf(x) dx = F(b) - F (a).

The Newton Leibniz Theorem can be used to determine the derivative of a definite integral when the limits of a definite integral are functions of t and the integrands are functions of x or vice versa.

As a result, statement C is the appropriate response.

To learn more about limits, refer:-

https://brainly.com/question/12207539

#SPJ4

For the subintervals -

For the stated intervals;

interval [-4,4]

Total interval length;

= 4 - (-4)

= 4 + 4

= 8

Divide the interval in n=4 equal subintervals.

8/ 4 =2

First subinterval;  [-4,-2]

Second subinterval;  [-2,0]

Third subinterval;  [0,2]

Fourth subinterval;  [2,4]

Thus,

right endpoints:  [2,4]

left endpoints: [-4,-2]

midpoints: [-2,0] and [0,2]

Thus, the subintervals of the given interval [-4,4] is obtained.

To know more about the subintervals, here

https://brainly.com/question/13977414

#SPJ4

Answer: 12 years

Step-by-step explanation:

We know that the population decrease rate is 4% each year

So take 7900 times 0.04% = decrease 316 people each year

Then take 7900 - 4300 = 3600 people need to get there

Then take 3600 divided by 316 = 12 years

1) The probability of F2 seed chosen at random will be yellow is the same as asking about the probability of forming a yellow seed in that generation. The answer is 3/4 (75%) because 1/4 = 25% GG is homozygous dominant and the rest 2/4 = 50% Gg are heterozygous.

2) In the F2 generation there are two genotypes that will breed true, which is homozygotic genotypes: GG and gg. But of these two, only one of them is yellow. The answer is 1/3 because from all the yellow seeds that resulted (GG, Gg and gG) only one has the genotype for true breeding.

3) The probability of taking out three seeds in which a least one is yellow can be calculated by subtracting the only  probability that doesn't fit the criterion, which is taking out a green seed 3 times:   = 1/64.

Then subtract that to 1  =  63/64

4) there are three possible groupings in which the green is taken once and the yellow seeds taken twice. The first possibility (follow the example) is the green being the first to come out, another possibility is being the second and the last possibility is being taken in the third time.

For example, Green yellow yellow- probability :

= 9/64

This is one possibily, but since there are 3, multiply it by 3 and you obtain the final answer:27/64.

Learn more about probability at :

https://brainly.com/question/29676631

#SPJ4

The disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values ​​is m, the alternative will be -1/m.

A relationship between two terms on either side of an equal sign is depicted by a straightforward equation.

Simple equations also pursue one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.

There are three basic forms of the system of equations: point-slope form, standard form, and slope-intercept form.

So, Shannon's error:

In a rectangle, the neighboring sides are perpendicular to one other, whereas parallel runs between the opposing sides.

The slope of line segments is equal, and the slope, of a perpendicular line to some other line with a slope, m, is -1/m , thus the slopes of the axis of symmetry should be equal, which gives:

The equation should consist of two sets of linear equations with equal slopes: B. Pair y = -x + 6 and y = -x - 5

Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 respectively.

Therefore, the disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values ​​is m, the alternative will be -1/m.

Know more about equations here:

brainly.com/question/28937794

#SPJ4

Answer: whats up

hello

Step-by-step explanation:

The expression when Ahmad thinks of a number, n. He adds 4 then multiplies the result by 3 is 3(n + 4).

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this scenario, Ahmad thinks of a number, n. He adds 4 then multiplies the result by 3.

This will be:

= (n + 4) × 3

= 3(n + 4).

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Hi how are you call 112 you will get nice

1.9 × 10³ is 2.15 times more than 4.085 × 10⁵  

To find how many times a number can be smaller than another number we need to divide the large number by the smaller number.  

Example: how many times 5 is smaller than 25

               => 25/5 = 5   [ Since 5(5) = 25 ]  

Here we have

1.9 × 10³ and 4.085 × 10⁵

Let the number 1.9 × 10³ is x times smaller than 4.085 × 10⁵

Then 1.9 × 10³ (x) must be equal to 4.085 × 10⁵  

=>  1.9 × 103 (x) = 4.085 × 105  

=>  x = [tex]\frac{4.085 \times 105 }{1.9\times 103 }[/tex]  

=>  x = [tex]\frac{428.925 }{195.7 }[/tex]  

=>  x = 2.1917475 ≅ 2.15

Therefore,

1.9 × 10³ is 2.15 times smaller than 4.085 × 10⁵  

Learn more about Small and Large numbers problems at

https://brainly.com/question/29239648

#SPJ1

Answer:

5.4* 10^-2

Step-by-step explanation:

The value of the exponential equation is A = 5.4 x 10⁻²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the number be represented as n

The value of n = 0.054

On simplifying the equation , we get

A = 5.4 x 10⁻²

On further simplification , we get

A = 0.054

Hence , the exponential equation is A = 5.4 x 10⁻²

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ2

the truth table of expression (A+B).A is T ,T ,F,F . A truth table has one column for each input variable (such as P and Q) and a final column that lists all potential outcomes.

Truth tables are mathematical tables that are used in logic, specifically in relation to Boolean algebra, Boolean functions, and propositional calculus. They contain the functional values of logical expressions on each of their functional arguments, or more specifically, for each combination of values that their logical variables can take.

given

( A+B) . A

A          B      (A + B)      (A+B).A

T           T         T                  T

T           F         T                 T

F           T         T                 F

F           F         F                 F

So , the truth table of expression (A+B).A is T ,T ,F,F .

To know more about truth tables visit:-

https://brainly.com/question/29155453

#SPJ1

An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.

Step 1: Arrange the data in the worksheet's columns and rows.

Step 2: Choose the information.

Step 3: Click the Combo chart icon on the Ribbon under the Charts group on the INSERT tab.

Step 4: Click each icon with your mouse.

step 5 Double-click the chart type that suits your data.

A combo chart combines two column charts, two line graphs, or a column chart and a line graph into one visual representation.

An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.

To learn more about combo chart visit:

https://brainly.com/question/11209222

#SPJ4

Answer:

first option

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 , then the 2 roots are real and irrational

• If b² - 4ac > 0, and a perfect square, then 2 roots are real and rational

• If b² - 4ac = 0 , then 2 roots are real and equal

• If b² - 4ac < 0 , then 2 roots are not real

3x² + 4x - 2 = 0 ← is in standard form

with a = 3, b = 4 and c = - 2 , then

b² - 4ac = 4² - (4 × 3 × - 2) = 16 - (- 24) = 16 + 24 = 40

since b² - 4ac > 0 , then 2 real and irrational roots

Answer:

2. d = 40; 2 rational

Step-by-step explanation:

The discriminant (d) of a quadratic equation [tex]ax^2 + bx + c = 0[/tex] is:

[tex]\boxed{\mathrm{d =} \ b^2 - 4ac}[/tex].

If:

• d > 0, then there are two real solutions

• d = 0, then there is a repeated real solution

• d < 0, then there is no real solution.

In this question, we are given the quadratic equation [tex]3x^2 + 4x - 2 = 0[/tex]. Therefore, the discriminant of the equation is:
b² - 4ac = (4)² - 4(3)(-2)

             = 16 - (-24)

             = 40

Since the discriminant, 40, is greater than zero, the quadratic equation has 2 rational solutions.

The graph that shows the function with the determined behavior is the last graph, circled on the image given at the end of the answer.

The graph of a function is classified as either increasing, decreasing or constant, as follows:

Hence the fourth graph on the image given at the end of the answer is the one with the desired behavior on each interval.

The graphs are given by the image shown at the end of the answer.

More can be learned about increasing and decreasing functions at https://brainly.com/question/1503051

#SPJ1

Answer:

533

Step-by-step explanation:

3 hours = 180 minutes

2400 : 180 = x : 40

x = 2400 * 40 / 180

x = 2400 * 4 / 18

x = 2400 * 2 /9

x = 800 * 2 / 3

x = 1600/3

x = 533.333333

x = 533

The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.

Given that,

We have to find the system of linear equation in which (2,-1) is a solution of the first equation but not for the second equation and (5,5) is a solution for system of equation.

We know that,

To find the system of equation we have a formula that is

y=mx-mx₁+y₂

Here m is slope

m=-1-5/2-5

m=-6/-3

m=2

The equation is

y=2x-2(5)+5

y=2x-10+5

y=2x-5

Therefore, The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.

To learn more about equation visit: https://brainly.com/question/29657983

#SPJ4

43920  is the lowest amount that a teacher needs to make and still be one of the top 7% earners with a mean of $38,000 and a standard deviation of $4,000

According to information provided to us, the pay for elementary school teachers in a certain nation is generally distributed, with a mean of $38,000 and a standard deviation of $4,000 per year.

To resolve the issue at hand, we shall make use of the normal distribution table. Finding the z-score corresponding to the top 7% or the 93% probability from the normal distribution table (0.93).

The normal distribution table provides us with the 1.48 z-score we need.

We will now solve for the sample score using the z-score formula as follows:

z = x - μ/σ

1.48 = x - 38,000/4000

1.48 × 4000 = x - 38,000

5920 = x - 38000

x = 5920+38000

x = 43920

To learn more about mean:

https://brainly.com/question/20747890

#SPJ4

Answer:

Step-by-step explanation:

The required graph of the given function d(x)=−1/2x−3 has been shown.

Given that, to plot the graph of the linear function,  d(x)=−1/2x−3.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.

At x = 0

d(0) = -1/2 * (0) - 3

d(0) = -3

So, the ordered pair will be (0, -3).

Now, put x = 2

d(2) = -1/2 * 2 - 3

d(2) = -1 - 3

d(2) = - 4

So the ordered pair will be (2, -4)

joining these two points will show the graph of the given equation d(x)=−1/2x−3.

Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

For the given conditions convention B attendance is decreasing at a greater rate.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the number of people attending convention A can be modeled by the function as,

f(x) = 1200 • 0.95ˣ

where x is the number of years that the convention has been occurring.

The number of people attending convention A in year 1,

f(x) = 1200 × 0.95¹

f(x) = 1140

The number of people attending convention A in year 2,

f(x) = 1200 × 0.95²

f(x) = 1083

The number of people decreasing in the Convention A,

=1140 - 1083

=57

If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,

=2200-2100

=100

Thus, for the given conditions convention B attendance is decreasing at a greater rate.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6[tex]C_2[/tex] = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

Learn more about combination here

brainly.com/question/28720645

#SPJ4

Therefore, option (c)normality assumption is checked when looking at a  Q–Q plot in one-way ANOVA model.

In statistics, a Q–Q plot is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against each other. A point on the plot corresponds to one of the quantiles of the second distribution plotted against the same quantile of the first distribution

Here,

normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.

Explanation: The core tenet of the assumption of normality states that the sample mean distribution (across independent variables) is normal. Technically speaking, the Assumption of Normality asserts that the mean's sampling distribution or the distribution of means among samples is normal.

To know more about Q–Q plot , visit

https://brainly.com/question/14004140

#SPJ4