What is the difference between slope and average rate of change ?

Answer:

y=-2/3x

I think that's the simplest form

Answer:

-17

Step-by-step explanation:

[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]

[tex]-3y^{2}-6y-17[/tex]

Answer: C

i hope this helps

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]

Given:

The system of equations that represent the constraints for the given situation is

[tex]x+y=4.25[/tex]

[tex]16.90x+4y=36.35[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]x+y=4.25[/tex]           ...(i)

[tex]16.90x+4y=36.35[/tex]           ...(ii)

Multiply equation (i) by 4.

[tex]4x+4y=17[/tex]           ...(iii)

Subtracting (iii) from (ii), we get

[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]

[tex]16.90x+4y-4x-4y=19.35[/tex]

[tex]12.90x=19.35[/tex]

Divide both sides by 12.90.

[tex]x=\dfrac{19.35}{12.90}[/tex]

[tex]x=1.5[/tex]

Put this value in (i).

[tex]1.5+y=4.25[/tex]

[tex]y=4.25-1.5[/tex]

[tex]y=2.75[/tex]

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

Answer:

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.

Correct calculation

8 ÷ 1/6

= 8 × 6/1

= 48

Check:

1/6 * 48

= 48 / 6

= 8

Patel's calculation

1/48 * 6

= 1/48 * 6/1

= 6/48

= 1/8

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answer:

D on edge

Step-by-step explanation:

have a great day :)

hope this helps :)

What the government is trying to achieve is to incease the output within the borders of the country which will result to: D. increasing GDP.

GDP stands for gross domestic product. It is the monetary value of of goods and services produced in a country over a period of time by the final user.

GDP aacounts for all output that are generated within a country's border.

Therefore, the macroeconmic goal that the government aims to achieve through its given actions is: D. increasing GDP.

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Answer:reducing unemployment

Step-by-step explanation:just took test

Answer:

0.83

Step-by-step explanation:

Answer:

0.83 A

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

divide 135 by 45 to get your answer

Answer:

x = 4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex]x^3-3x^2-10x+24[/tex]

Step-by-step explanation:

The first thing that you have to do is take the roots that you're given and write binomial products.

[tex]x= 2, -3, 4[/tex]

[tex](x-2)(x+3)(x-4)[/tex]

Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.

The next thing you have to do is multiply the roots together. A good way to do this is the "box method."

(See attachment below for the multiplication of [tex](x-2)[/tex] and [tex]x+3[/tex]. )

Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of [tex](x^2+x-6)[/tex] and [tex](x-4)[/tex])

The resulting polynomial is [tex]x^3-3x^2-10x+24[/tex].

Answer:

33

Step-by-step explanation:

Answer:

29c

Step-by-step explanation:

Answer:

(8 + 9) ÷ 3 = x

Step-by-step explanation:

You first need to add 8+9, so you put them in parenthesis for PEMDAS

Then you divide them by 3

Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given

Answer:

3 or 2 is the answer to the question

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

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Answer:

C. Angle MNP

Step-by-step explanation:

Check the corresponding equal sides with congruent angles

Answer: Third choice. [tex]\angle MNP[/tex]

=======================================================

Explanation:

We want to find something congruent to angle ABC.

With angle ABC, we have

The order is important.

Looking at the triangle on the right, we see that

The sequence of arc markings can be written as 3,1,2

Now focus your attention on the triangle on the left. Start with the triple arc angle, move to the single arc angle, then go to the double arc angle. You should trace out M, N then P in that exact order.

Therefore [tex]\angle ABC \cong \angle MNP[/tex]

Note how M is first, N is second, then P is third.

This lets us form these pairs of congruences

Answer:

$75

Step-by-step explanation:

30*2.5 = 75

Answer:

x = -1/7

Step-by-step explanation:

simplify by bringing all the x to the left and all the constants to the right:

6x + x = 1 - 2

7x = -1  (divide by 7)

x = -1/7

x=1/5

Step-by-step explanation:

2+6x= 1-x

=> Transfer the same algebraic terms in one side

2-1 = -x+6x

{things get negavtive sign when they are transfered to another side}

1=5x

x=1/5

Answer: 1,3,5

Step-by-step explanation:

Just took the quiz

Answer:

2,3,5

Step-by-step explanation: i got it right on my test

i hope this helps sorry if it didn't

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]6a^{2} - 24 = 0\\6a^{2} - 24 + 24 = 0 + 24 \\6a^{2} = 24\\\frac{6a^{2}}{6} = \frac{24}{6} \\a^2 = 4\\a = \sqrt{4} \\a = +2, -2[/tex]

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

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Answer:

f(5) = 82

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82

Answer:

The least number of plates and cups she can buy is 24

She will buy 3 packs of plates

She will buy 2 packs of cup

Step-by-step explanation:

Plates = 8 per pack

Cups = 12 per pack

Find the Lowest common multiple of 8 and 12

8 = 16, 24, 32, 40, 48, 56, 64, 72, 80

12 = 24, 36, 48, 60, 72

What is the least number of plates and cups she can buy?

The Lowest common multiple of 8 and 12 is 24

The least number of plates and cups she can buy is 24

How many packs of plates?

Packs of plates = 24 plates / 8 per pack

= 3 packs

She will buy 3 packs of plates

How many packs of cups?

Packs of cups = 24 / 12 per pack

= 2 packs

She will buy 2 packs of cup

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

Answer:

1900

Step-by-step explanation:

26,000,000,000 cells = 2.6 x 10^10 (baby cells)

An adult has about 4.94 times 10 to the thirteenth power

(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900

Answer:

I think d or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 11 1/3 (eleven and one third)

Step-by-step explanation:

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0