For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.

Answer:

(1, -1)

Step-by-step explanation:

Given lines

They cross at:

The y coordinate is:

So the lines cross at point (1, -1)

Answer:

[tex]8x^3+28x^2-16x[/tex]

Step-by-step explanation:

Volume of rectangular prism: [tex]l*b*h[/tex] (l = length, b = breadth, h = height.)

Volume of rectangular prism:

[tex](x+4)*(2x-1)*4x[/tex]

[tex]4x\left(x+4\right)\left(2x-1\right)[/tex]

Expand the two brackets using FOIL:

[tex]4x(x* \:2x+x\left(-1\right)+4* \:2x+4\left(-1\right))[/tex]

[tex]4x\left(2x^2+7x-4\right)[/tex]

Expand:

[tex]4x* \:2x^2+4x* \:7x+4x\left(-4\right)[/tex]

[tex]8x^3+28x^2-16x[/tex]

Step-by-step explanation:

21 (2-x)+12x=44

first,open the brackets

42-21x+12x=44

second, collect like terms

42-9x=44

-9x=44-42

-9x=2

third, dived both sides by -9

-9x/-9 = 2/-9

[tex]x = \frac{2}{ - 9} [/tex]

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Answer:

Mean: 22

Median: 21

Mode: No mode

Step-by-step explanation:

Mean:

The sum is the value of all the values divided by the number of values:

[tex]13+30+16+19+20+22+25+31/8[/tex]  which is 22.

Median:

The median is the middle-most value of the data set when arranged from lowest to highest:

13, 16, 19, 20, 22, 25, 30, 31

Here, since there are two middle-most terms, the median would be the average of 20 and 22 (20+22/2), which is 21.

Mode:

The mode is the most occurring value in the data set.

13, 16, 19, 20, 22, 25, 30, 31

Since, in this data set, there is do value that occurs twice, we can say that there is no mode for this data set.

Answer:

The number is 15

Step-by-step explanation:

1/3(number) + 25 = 2(number)

subtract 1/3(number) from each side

25 = 2(number) - 1/3(number)

25 = 6/3(number) - 1/3(number)

25 = 5/3(number)

multiple each side by 3/5, which is the reciprocal of 5/3

25(3/5) = number

15 = number

Answer:

the answer your looking for is 3

Step-by-step explanation:

Answer:

-0.75

Step-by-step explanation:

Answer:

-0.75

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

2(x+5)=24

2(x)+2(5) =24

2x +10=24

    -  10  -10

2x=14

2x/2x  14/2x

x=7

Hope this helps :)

Answer:

Your answer would be:61

Answer:

9.7

Step-by-step explanation:

Subtract 4.6 from 14.3 to get 9.7

Answer:

9.7

Step-by-step explanation:

One side of the line is 4.6 The entire thing is 14.3 If you subtract 14.3-4.6, it equals 9.7

Answer:

2.7156

Step-by-step explanation:

14.549 - (8.131 + 3.7024) =

14.549 - 11.8334 =

2.7156

Hope this helps!

Answer:

2.7156

Step-by-step explanation:

Answer:

Step-by-step explanation:

Price assuming he bought all large flags: [tex]20*8=160[/tex]

Amount of money more: [tex]160-112=48[/tex]

Difference of price in both flags: [tex]20-12=8[/tex]

Medium Flags: [tex]48\div8=6[/tex]

Large Flags: [tex]8-6=2[/tex]

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The reason why this works, is because the amount of money more comes from the difference between both flags.

Answer:

h = 2.5

Step-by-step explanation:

This question deals with a translation applied to the parent function, f(x) = |x|.

The parent function of the absolute value equation is f(x) = |x|. The graph of f(x) = |x| is a V-shaped graph as shown in the graph, but the vertex of the V is at (0, 0).

When you substitute x - h for x, you translate the parent function h units horizontally. When you substitute y - k for y, you translate the parent function k units vertically.

Think of the parent function described above, f(x) = |x|.

Its vertex is at the origin, (0, 0).

Now look at the function in your graph. It is a horizontal and vertical translation of the parent function since the vertex is now at (2.5, 1.5).

The horizontal translation was from x = 0 to x = 2.5, so h is 2.5.

As mentioned above, when you substitute x - h for x, you translate the function h units horizontally. Since the horizontal translation is 2.5, h = 2.5.

Answer: h = 2.5

Answer:

5/6

Step-by-step explanation:

Answer:

The answer is 0

Step-by-step explanation: If you have -6 and you want to the answer to be -6, if you add anything to 0, it will be the same sum.

Answer:

x = 8

Step-by-step explanation:

remember:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

based on the figure given:

AB=8 is also equal to BC=x=8

therefore, your x value would be 8

Answer:

I'm pretty sure its 50 because 1/5 of 250 is 50

Answer:

50 students

Step-by-step explanation:

when you multiply 250 by 4/5 it gives you how many live within the 2 miles so subtract that number from the total and you get the 50 student who live farther.

The price of the ring before the tax was added is $1,600.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The price of the ring before the tax was added is,

106.7% ( x ) =  1707.20

( x ) = 1707.20/106.7

( x ) = 16

( x ) = 16x100 = $1,600

Therefore, the price of the ring before the tax was added is $1,600.

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Answer: x=-5

Step-by-step explanation: Plug -5 in for x

Answer:

I would prefer scientific because depending how big a the number is scientific makes it the number visible smaller

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

2/3y + 5 = 7/3y - 10 ( Rearrange expression )

2/3y - 7/3y = -10 -5 ( Combine like terms )

-5/3y = -15 ( Divide )

y = 9

Answer:

negative 1/3

Step-by-step explanation:

3n+2

3n= -2

n= -2/3

-4(-2/3) -3 = - 1/3

Answer:14

Step-by-step explanation:

Answer:

2) is addition property

3) is multiplication property

Step-by-step explanation:

The addition property and division properties are used to solve the inequality.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is  3x – 2 > -4.

Three times of x minus two is greater than minus four

By using addition property we add +2 on both the sides

3x – 2 +2 > -4+2

3x>-2

By using division property we divide  +3 on both the sides

x>-2/3

Hence, the addition property and division propertys are used to solve the inequality.

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