The graph below represents the following system of inequalities.

Answer:

52, 43

Step-by-step explanation:

the first instinct might be to make the first number as big as possible : 54

that leaves for the second number 2 and 3, and the largest combination here is 32 (larger than 23).

54×32 = 1728

but, the area of a rectangle (and that is what we are calculating here) is the larger, the closer the lengths of its side are.

so, a bigger difference between length and width creates a smaller area, than a smaller difference between length and width for similar lengths.

so, what if we sacrifice just a little bit of the length, and make it 53 ? that opens up 4 for the second number, giving us 42 as width. they are much closer to each other with still very similar length.

53×42 = 2226

you see ? much bigger.

let's experiment further and pick 52 as length.

that gives us 43 as width.

52×43 = 2236

and again a little bit closer and with bigger result.

you see, in the previous case we "added" comparably to this last case a 42 (53×42 instead of 52×42), and in the last case we added a 52 (52×43 instead of 52×42) creating the difference of 10.

but of course, this only works, if we don't decrease the length too much.

Answer:

Using each of the digits 2 through 5 only once, write 2 two-digit whole numbers whose product is as large as possible.

Answer:

It means that the project is in good shape, within budget an d it would finish early

Step-by-step explanation:

The answer to this question is pretty straight forward. If a project has the percent spent fine 90 percent, the scheduled has percentage of 85 percent and the complete is at the percentage of 95, what it means is that this project is in good shape, the project being carried out is still being done within the proposed budget and at 95% complete, it means that the project is going to finish early.

9514 1404 393

Answer:

  C, E

Step-by-step explanation:

The solutions are found by setting each of the factors to zero:

  3x -4 = 0 . . . . . matches C

  x +2 = 0 . . . . . matches E

Answer:

a) r ⋀~p

b)(r⋀p)⟶q

c) ~r ⟶ ~q

d) (~p ⋀r) ⟶q

Step-by-step explanation:

To solve this question we will make use of logic symbols in truth table.

We are told that;

p means "The user enters

a valid password,”

q means “Access is granted,”

r means “The user has paid the

subscription fee”

A) The user has paid the subscription fee, but does not enter a valid

password.”

Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p

B) Still using logic symbols, we have;

(r⋀p)⟶q

⟶ means q is true when r and p are true.

C) correct symbol is ~r ⟶ ~q

Since both statements are negation of the question. And also, if ~r is true then ~q is also true.

D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q

Answer:

-7

Step-by-step explanation:

If it is 7 below (a key word, which you can connect to 'negative'), then you just write it as -7.

Step-by-step explanation:

we cannot see the diagram, so we don't know how many layers of bricks are used. and therefore it is impossible to tell the height of the wall.

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = [tex]\frac{1}{2}aP[/tex]

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = [tex]\frac{1}{2}(4.1)(30)[/tex]

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

Answer:

Eh whats the question? it takes 30 days for the assignemnt to be zero if that is the question.

Step-by-step explanation:

Answer:

points = 300 - 10 L

x = 300 - 10Y

x = points, Y = days late

Step-by-step explanation:

Answer:

[tex]y = -\frac{3}{4}x + 5[/tex]

Step-by-step explanation:

Given equation  y = -3/4x  - 5

Step 1 : Find slope.

           Since the lines are parallel to each other, the slopes are same.

          [tex]therefore, m = \frac{-3}{4}[/tex]

Step 2 : Find the equation of the line.

           [tex]( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2[/tex]

            [tex]( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5[/tex]

Answer:

f(h(x)) = 2•(x²-1)² -4•(x²-1)

Answer:

x = 5 and y = 1.5

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer: [tex]7\sqrt{42}[/tex]

Step-by-step explanation:

42 students divided equally into 7 groups means 42 divided by 7, and [tex]7\sqrt{42}[/tex] is the only choice that shows that.

7√42. is the expressions would represent a class of 42 students divided equally into 7 groups

A division is a process of splitting a specific amount into equal parts.

Given,

A class of forty two Forty two students divided equally into 7 groups.

Forty two students divided equally into seven groups means forty two divided by seven, and

this can be done by using 7√42.

42 students divided equally into 7 groups means forty two divided by seven

Hence  7√42. is the expressions would represent a class of 42 students divided equally into 7 groups

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Step-by-step explanation:

1) = Solution

(3x+2)(x-1) = 3x^2 - 3x+2x-2

= 3x^2 - x - 2

2) = (x-5)(2x+3)

= 2x^2 + 3x - 10x - 15

= 2x^2 - 7x - 15

3) = (2x+5)(3x-2)

= 6x^2 - 4x + 15x - 10

= 6x^2 + 11x - 10

Answer:

x^2+y^2=r^2 is quation of circle whose centre is (0,0)

Answer:

3

Step-by-step explanation:

Skip,Flip,Multiply Method

[tex] \frac{8}{ \frac{1}{3} } = \frac{8}{1} \times 3 = 24[/tex]

Answer:

3

Step-by-step explanation:

Answer: 24 ft I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

every thing looks good,  except the question says  "round"   and soooooo,  if you are rounding to the 2nd decimal place,  then the next two decimal places are  54,      or  50.2654   so, to round that, round up , so your final answer would look like   50.27   :)  see?

9514 1404 393

Answer:

  50.24 inches  (or 50.2 inches)

Step-by-step explanation:

The formula for circumference in terms of radius is ...

  C = 2πr

Using the given values for radius and for pi, the circumference is ...

  C = 2(3.14)(8 in) = 50.24 in

__

Additional comment

If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.

If you like, you can round to 50.2, since only one decimal place is required in the result.

Answer:

[tex]T_n = \frac{1}{4^{n-1}}[/tex]

Step-by-step explanation:

Given

[tex]({)1, 1/4, 1/16, 1/64, 1/256, ... (})[/tex]

Required

The general term

The given sequence is geometric.

So first, we calculate the common ratio (r)

[tex]r = T_2/T_1[/tex]

So, we have:

[tex]r = 1/4 \div 1[/tex]

[tex]r = 1/4[/tex]

The function is then calculated using:

[tex]T_n =T_1 * r^{n-1}[/tex]

This gives

[tex]T_n =1 * 1/4^{n-1}[/tex]

[tex]T_n = \frac{1}{4^{n-1}}[/tex]

Answer:

2 hours

Step-by-step explanation:

Since Tory and Emilio's motorboats travel at the same speed, they are traveling at the speed of 30 km/h. Therefore, it should take Tory two hours to travel 60 km.

Tory took 2 hours to navigate the 60 kilometers.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Tory pilots her boat 60 km before docking.

Emilio continues for another 4 hours traveling, a total of 120 km before docking.

The speed of Emilio's boat = 120 / 4 = 30 kilometers per hour.

Tory and Emilio's motorboats travel at the same speed.

Tory's boat speed,

= 60/30 = 2 hours.

Therefore, Tory takes 2 hours.

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Answer:

-2 and -4

Step-by-step explanation:

When the quadratic equation equals 0, that means when y = 0.

By looking at the graph, whenever y = 0 is when the graph crosses the x-axis.

The graph crosses the x-axis at only two points:

(-4, 0) and (-2, 0)

So the solutions to the graph when  -x^2 - 6x - 8 equals 0 is -2 & -4.

Hope it helps (●'◡'●)

Answer:

-2 and -4

Step-by-step explanation:

if you'll notice the function goes through the x axis at -2 and -4

Answer:

[tex]x =10[/tex]

Step-by-step explanation:

Given

[tex]AB = 12[/tex]

[tex]BC = 18[/tex]

[tex]AC = 3x[/tex]

Required

Solve for x

Since B is in between both points, then:

[tex]AC = AB + BC[/tex]

This gives

[tex]3x = 12 + 18[/tex]

[tex]3x = 30[/tex]

Divide by 3

[tex]x =10[/tex]

Answer:

[tex](x,y) = (-3,2)[/tex] is a solution

Step-by-step explanation:

Given

[tex]y \le -4x + 3[/tex]

[tex]x + 8y \ge 7[/tex]

Required

Determine if [tex](x,y) = (-3,2)[/tex] is a solution

[tex]y \le -4x + 3[/tex] becomes

[tex]2 \le -4 * -3 + 3[/tex]

[tex]2 \le 15[/tex] --- this is true

[tex]x + 8y \ge 7[/tex]

[tex]-3+ 8 * 2 \ge 7[/tex]

[tex]13 \ge 7[/tex] --- this is also true

Hence,

[tex](x,y) = (-3,2)[/tex] is a solution

Answer:

The null hypothesis is [tex]H_0: p = 0.4[/tex]

The alternative hypothesis is [tex]H_a: p < 0.4[/tex]

Step-by-step explanation:

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4.

At the null hypothesis, we test if the proportion is of 0.4, that is:

[tex]H_0: p = 0.4[/tex]

You believe that at your university the proportion is actually less than 0.4.

This means that at the alternative hypothesis, we test if the proportion is less than 0.4, that is:

[tex]H_a: p < 0.4[/tex]

Answer:

n(B) = 1350

Step-by-step explanation:

Using Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

Three values are given in the exercise.

The other is n(B), which we have to find. So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

[tex]2290 = 1300 + n(B) - 360[/tex]

[tex]940 + n(B) = 2290[/tex]

[tex]n(B) = 2290 - 940 = 1350[/tex]

So

n(B) = 1350

Answer:

D

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

C.

Step-by-step explanation:

For an angle to be supplementary to another angle, they must be equal to 180. Angles 6, 10, 13, and 9 are all supplementary to angle 16. Although there are more choices in different answers it wouldn't work with question, so C is the right answer.

Angle 16 is supplementary to angle 9 by the Same Side Interior Angles Theorem, which makes it supplementary to angle 10 by the Alternate Exterior Angles Theorem, which is also congruent to angle 13 by the Vertical Angles Theorem, which is also supplementary to angle 6 by the Alternate Exterior Angles Theorem.

Answer:

Tisco: 12 for £5.16

Azda: 12 for £5.04

Azda has the better value.

Step-by-step explanation:

Tisco: 3 for £1.29

Multiply both numbers by 4.

12 for £5.16

Azda:

4 for £1.68

Multiply both numbers by 3.

12 for £5.04

Azda has the better value.

Answer:

20

Step-by-step explanation:

a)x^2+16^2=a^2

b)x^2+25^2=b^2

c)a^2+b^2=(16+25)^2

a+b)2x^2+25^2+16^2=41^2=a^2+b^2

2x^2=800

x=20