Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is largest. (Hint: Let =− and express in terms of alone.)

Answers

Answer 1

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12         Product       Difference               Product- Difference  

11 +1                   11                    10                                1

10 +2                20                   8                                 12

9 +3                  27                   6                                 21

 8 +4                 32                   4                                 28

7  +5                  35                   2                                33

6+6                    36                   0                                36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6


Related Questions

Home help plz really appreciate it!!!!!

Answers

Answer:

angle AGE=113.5

Step-by-step explanation:

3x-28=66-x

4x=94

x=23.5

23.5+90=113.5

Answer: 113.5° is 100% the correct answer.

Step-by-step explanation:

Help please i need the correct answer
it's important that i pass
ASAP!!
I will mark you brainliest
I need both answers to both pics

Answers

Answer:

the first one will be a positive correlation

the answer for the second Q will be 16

Step-by-step explanation:

have a nice day

PLEASE HELP IM BEGGING YOU. PLEASE DONT ANSWER IF YOU DONT KNOW.

Answers

Answer:

5.460

Step-by-step explanation:

Answer:

6.24

Step-by-step explanation:

The formula for finding the area of a triangle is A = 1/2 b x h, (A meaning area, B meaning the base of the triangle, and H meaning the height of the triangle.)  Plug in the values for the formula and you get A = 1/2 (4.8) x (2.6)  Multiply 4.8 and 2.6 to get 12.48.  1/2 of 12.48 is 6.24, so that is the answer.  

Sorry if I'm wrong, but I hoped this helped!  :)

find the value of given expression

[tex] \sqrt{25 \times 2} \times \sqrt{50} [/tex]

Answers

the answer is fifty :)

which could be the value of x in the triangle below ​

Answers

Answer:

C, D

Step-by-step explanation:

In a triangle, the length of any side must be least than the sum of the lengths of the other 2 sides.

That means

3x < 19 + 6

3x < 25

x < 25/3

x < 8 1/3

Answer: C, D

6. Solve for x and y 7x+4 5y 9x-2

Answers

Answer:

=45xy9+7x−2

Step-by-step explanation:

3(x+5)^2-12=0. What does x equal

Answers

Answer:

x=−3 or x=−7

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x+5)2−12=0

Step 1: Simplify both sides of the equation.

3x2+30x+63=0

Step 2: Factor left side of equation.

3(x+3)(x+7)=0

Step 3: Set factors equal to 0.

x+3=0 or x+7=0

x=−3 or x=−7

Answer: x=-3 and x=-7

work is in the attachment provided.

It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...

Answers

Answer:

which question is it? and please take the picture from the top.

Step-by-step explanation:

And Also will answer in the replies.

(x-1²) +2 (x-1) - 29
hola alguien me puede ayudar a factorizar esto doy 20 puntos!!

Answers

Answer:

(x+2x)+(−30−2) = 3x−32

3(x+7) simplify the expressions

Answers

Answer:

3x+21

Step-by-step explanation:

you distribute the 3 which gives you 3x and 7x3 which is 21.

Answer:

3x + 21

Step-by-step explanation:

(3 × x) + (3 × 7)

3x + (3 × 7)

3x + 21

A sector of a circle has a central angle measure of 300°. The diameter of the circle is 26 centimeters.
What is the approximate area of the sector?

Plss helpppp I need it now

Answers

The formula is
SA=x/360 multiplied by pi multiplied by the squared radius
So therefore you substitute the values you have into the equation so:
SA= 300/360 x pi x 13 squared (radius is half of diameter so half of 26 is 13)
Therefore the answer should be
442.440
442.4 to one decimal place

. Find the slope of the line passing through the points (-3,5) and (7,6).

Answers

Answer:

Answer is in the photo below.

Slope= 0.1

Step-by-step explanation:

a)
सीमा रेखाको समीकरण 2x + 3y = 6 र हल समूहमा
बिन्दु (0,0) भएको असमानता पत्ता लगाउनुहोस् ।
Find the inequality whose boundary line is
2x+3y= 6 and the solution set contains (0,0).​

Answers

Given:

The boundary line of an inequality is:

[tex]2x+3y=6[/tex]

The solution set contains (0,0).

To find:

The inequality.

Solution:

The boundary line of an inequality is

[tex]2x+3y=6[/tex]

Since (0,0) is in the solution set, therefore (0,0) satisfies the required inequality.

Taking LHS, we get

[tex]LHS=2x+3y[/tex]

Substitute x=0 and y=0.

[tex]LHS=2(0)+3(0)[/tex]

[tex]LHS=0+0[/tex]

[tex]LHS=0[/tex]

The right hand side of the given equation is 6.

[tex]RHS=6[/tex]

We know that,

[tex]0<6[/tex]

[tex]LHS<RHS[/tex]

[tex]2x+3y<6[/tex]

The boundary line is not a dotted line, it means the points on the boundary line are also included in the solution set. So, the inequality sign must be [tex]\leq [/tex].

[tex]2x+3y\leq 6[/tex]

Therefore, the required inequality is [tex]2x+3y\leq 6[/tex].

What is the value of x if 5^ x+2 =5^ 9 ? O x = - 11 O x = - 7 x = 7 x = 11 O O

Answers

Answer:

Step-by-step explanation:

5ˣ⁺² = 5⁹

log₅(5ˣ⁺²) = log₅(5⁹)

x+2 = 9

x = 7

PLEASE HELPPPP FIND THE SURFACE AREA OF THE PYRAMID.

Answers

Answer:

4ft

Step-by-step explanation:

Please help me solve the algebraic expressions

Answers

[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]

[tex] \frac{ {d}^{3} + 6 }{3 {d}^{2} } [/tex]

[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]

[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]

A car travels 420 miles in 7 hours. If the rate remains the same, how far does it travel in 11 hours?
A. 660 miles
B. 480 miles
C. 270 miles
D. 60 miles

Answers

Answer:

A. 660 miles

Step-by-step explanation:

420 ÷ 7 = 60 60 x 4 = 240 240 + 420 = 660

name all of the radii of the circle shown in the figure.

PLS HELP ME ASAP

Answers

All the lines are radii

Help please
Brainiest answer to whoever is first

Answers

You see two rectangles and draw a line straight down making two rectangles

HELP ME?!?!?
Jamie is making a mosaic out of tiles cut in the shape of equilateral triangles. What is the perimeter of each triangle?

Answers

Answer:

its 3 inches

Step-by-step explanation:

Because 9 divided by 3 is 3 (in.) as well as 6 divided by 2 and if its equilateral, all sides are the same (i hope this makes sense)

Answer:

3 inches because you split the 2 bottomed ones 3 in for both 6

If the area of a circle is
7.7 cm2, what is the
circumference of the
circle? (I need a step-by-step answer for further understanding please!!)

Answers

Answer:

Since area =7.7

[tex]area = \frac{22}{7} {(r)}^{2} \\ {(r)}^{2} = 2.45 \\ r = 1.57[/tex]

Then the circumference is

[tex]c = 2pi\times r \\ = 2 \times 3.14 \times 1.57 \\ = 9.859[/tex]

A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?

Answers

Answer:

A

Step-by-step explanation:

43560/360 = 121

131x15 = 1815 rocks per acre

1815 x 10 acres = 18150 rocks

I NEED HELP OMG SOMEONE PLS HELP ME IM FAILING AND MY PARENTS ARE BIG MAD
I HAVE NO IDEA HOW TO DO ST MATH BUT PLS HELP ME (MULTIPLICATION AND DIVISION WITH NEGATIVE NUMBERS) JELLY BLOCK INTEGERS ​

Answers

Answer:

where the question?

Step-by-step explanation:

can I see.i will see if I can do it to answer

ahaha please help. Find the area of the right triangle

Answers

Answer:

8 units

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

= 1/2 × 8 ×2

= 8

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.

Answers

Answer:

1.5

Step-by-step explanation:

Please I need help ASAP

Answers

you just answer ths but here this might help

plz mark as brainliest

4x-9=2x+5..solve for X..Help?

Answers

Answer:

x = 7

Step-by-step explanation:

4x - 9 = 2x +5        add 9 from both sides

4x = 2x +14            subtract 2x from both sides

2x = 14.                   divide both sides by 2

x = 7

Answer:

x = 7

Step-by-step explanation:

Rewrite equation

4x - 9 = 2x + 5

Add 9 on both sides

4x -9 +9 = 2x + 5 + 9

Simplify

4x = 2x + 14

Subtract 2x on both sides

4x - 2x = 2x + 14 - 2x

2x = 14

Finally divide both sides by 2

2x/2 = 14/2

x = 7

Hope this helps :)

Given are the graphs of the functions f(x)=√x and g(x)=2 sin⁡x. Use the graph or graph the functions on your own and determine all values of x that solve the equation f(x)=g(x). Explain how you identified the solutions.

Answers

The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

How to solve graphically two equations by graphic approach

In this question we must look for all points where each curve intersects each other. By direct inspection on figure given, we conclude that [tex]f(x) = g(x)[/tex] happens in thrice: (i) [tex](x,y) = (0, 0)[/tex], (ii) [tex](x,y) = (0.256, 0.505)[/tex], (iii) [tex](x,y) = (2.285, 1.512)[/tex]

Hence, the values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.

To learn more on solving equations, we kindly invite to check this verified question: https://brainly.com/question/11897796

NY Giants jackets sell for $80, there's a 8% sales tax. find the total cost.

Answers

Answer:

the total cost is $86.40

A function C(x) = 8x + 15 represents the cost C. in dollars of producing x, T-shirts for
the marching band.

what would be the cost of producing 60 t shirts?
find the number of t shirts if c(x)=303

Answers

Answer:

The cost of producing 60 t-shirts is $495.

36 t-shirts will let the cost, C(x) = 303

Step-by-step explanation:

If we producing 60 t-shirts, then we plug in 60 for the x, which x represents t-shirts for the marching band.

C(x) = 8x + 15

C(x) = 8(60) + 15

C(x) = 480 + 15

C(x) = 495

If the cost of the t-shirts is 303, we plug in 303 for the cost,C(x).

C(x) = 8x + 15

303 = 8x + 15

288 = 8x

x = 36

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