Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4

2

The line y = [tex]\frac{2}{3}[/tex] x - 4

has slope m = [tex]\frac{2}{3}[/tex] → B

Answer:

11.slope intercept form:

y=2/3x-4

2. slope;

2/3

Step-by-step explanation:

1. make y the subject

2. =mx+c

m is the slope therefore 2/3 is the slope

Answer:

35

Step-by-step explanation:

Answer:

As we know:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

Here is what Robert had:

Number of nickles (a)

Number of dimes (b)

Number of quarters (c)

Here is assumption:

5a + 10b + 25c = 850

a = 3b

c = b + 10

=> 5(3b) + 10b + 25(b + 10) = 850

=> 50b + 250 = 850

=> 50b = 600

=> b = 600/50 = 12

=> a = 3b = 3 x 12 = 36

=> c = b + 10 = 12 + 10 = 22

=> Number of nickles: 36

=> Number of dimes: 12

=> Number of quarters: 22

Hope this helps!

:)

Answer:

the answer is the fourth row

Answer:

hi! the answer is row four.

Step-by-step explanation:

it contains 14, 7, 2, -7, and -14

14 and -14 are opposite integers

&

7 and -7 are opposite integers

so, the row that has opposite integers would be row four.

It's A, 1/5^9.

Ya take the two exponents, and subtract them. Now ya have 5^-9/5.

Since we can't have a negative exponent, we put it on the bottom.

So we get the answer 1/5^9. Hope this helps!

Answer:

1/5^9

Step-by-step explanation:

5^-6 goes down and become 5^6

then 5^3 is times 5^6, when multiplying two same bases their power has to be added not multiplied. so 6 plus 3 is 9. the nine is the power.

the final answer is 1/5^9 or the first choice

Answer:

Step-by-step explanation:

889

Answer:

e = a

f = c

Angles a, b and c add up to 180°

Angles a, f and b also add up to 180°

Answer:

Step-by-step explanation:

2x^2-10x+7         A=1, B=-10. C=7

-(-10)±√-10^2-4(1)(7)

------------------------------

2(1)

10±√100-28

----------------

2

10±√72

-----------

2

10±8.485281374

            2

10+8.485281374 =9.24

10-8.485281374 =0.76

               2

Weight of wood block is 15.543 ounces.

Given that;

Height of block = 4 inches

Diameter of block = 3 inches

1 cubic inch of wood = 0.55 ounces

Find:

Weight of wood block

Computation:

Radius of block = 3 / 2

Radius of block = 1.5 inches

Volume of toy = πr²h

Volume of toy = (3.14)(1.5)²(4)

Volume of toy = (3.14)(2.25)(4)

Volume of toy = 28.26 cubic inch

Weight of wood block = Volume of toy × 0.55 ounces

Weight of wood block = 28.26 × 0.55 ounces

Weight of wood block = 15.543 ounces

Find out more information about 'Weight of wood'.

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-3x + 8 < 23

- 8 on both sides

-3x < 15

/ -3 on both sides

x > -5

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Answer:

It is x > -5

Step-by-step explanation:

Equation: -3x + 8 < 23

First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.

Now we simplify: 23 - 8 becomes 15

New equation: -3x < 15

Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.

[tex]\frac{-3x}{-3}[/tex]<[tex]\frac{15}{-3}[/tex] = x > -5

Answer:

.

Step-by-step explanation:

Answer:

i say 2

Step-by-step explanation:

i may be wrong

sorry:(

Answer:

Its 2  I think

Answer:

True

Step-by-step explanation:

As long as the relationships are the same they are proportional.

Answer:

72.5 meters

29 seconds

Step-by-step explanation:

Answer: Answer is B

Step-by-step explanation: I hope it help

;)

Answer:

It is y= -3x + 2

Step-by-step explanation:

If you plug the x value into the equation, it make sense.

y= -3 (2) + 2 is equal to -6 + 2 which is -4

and so on..

Answer:

D No. as there are only 12 bolts longer than 1inch.

Mr. Slivka needs 16 bolts of greater than 1 measure, and there are only 12.

Step-by-step explanation:

We cannot include 1 inch data as this is not over 1 inch like the 1inch 2/8 and 1inch 4/8 etc. the greater measures of over 1 inch count to 12.

We know they are greater as they do not have a negative sign next to the added fraction of 1 2/8 or 1 4/8.

Answer:

D

Step-by-step explanation:

I HAVE NONE

Answer:

True

Step-by-step explanation:

It's true by the transitive property of equality which is

If A=B and B=C then A=C

Exactly one solution means the quadratic is a perfect square, so the usual two solutions coincide.  When we have repeated roots that means the discriminant is zero.

Answer: 0

Answer:

0

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

227° is in the third quadrant. To find the reference angle subtract 180° from it.

reference angle = 227° - 180° = 47° → c

Answer:

1075 ft^2

Step-by-step explanation:

The figure shows two rectangles. In order to get the two areas, we should be able to find the area of each and add them together.

The formula of the area of the rectangle = L * W

First rectangle [tex]= 25 * 8[/tex] = 200

Second rectangle =  25 * 35 = 875

Adding them together would yield 1075 sq ft.

Hope this helps

Hello there!

Mean is the average of a set of numbers.

To find the mean, we have to add all the numbers and divide by how many there are.

Add: 68 + 55 + 72  

Equals: 195

However, we have to find the mean of the 3 rounds in the 4th fight.

Add: 55 + 42 + 40

Equals: 137

Then, we divide it by 3.

Equals: 45.7

Next, add it to 195 since it was of 3 separate fights.

195 + 45.7 = 242.5

Lastly, divide it by 6 since there were 6 numbers in the data set.

Divide: 242.5/6

Equals: 40.42

Therefore, our mean for the 4 fights is 40.42 or 40.

There's another answer that we can get by simply adding up all the numbers and dividing it by 6.

Add: 68 + 55 + 72 + 55 + 42 + 40

Equals: 332

Then, we divide by 6.

Divide: 332/6

Equals: 55.33

So, yeah 55.33 would be the better mean then 40 since 40 makes it seem very low.

Answer:

Mean x¯¯¯ 55.333333333333

Median x˜ 55

Mode 55

Range 32

Minimum 40

Maximum 72

Count n 6

Sum 332

Step-by-step explanation:

All you have to do is add all the number together and divide.

Also i put more info encase you need it

hope this helps!:)

Answer:

see explanation

Step-by-step explanation:

Differentiate [tex]\frac{4-x}{x}[/tex] using the quotient rule, given

y = [tex]\frac{f(x)}{g(x)}[/tex] , then

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}[/tex]

Here f(x) = 4 - x ⇒ f'(x) = - 1

g(x) = x ⇒ g'(x) = 1 , thus

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-x-(4-x)}{x^2}[/tex] = [tex]\frac{-x-4+x}{x^2}[/tex] = - [tex]\frac{4}{x^2}[/tex]

-----------------------------------------

Given

y = 3x² + [tex]\frac{4-x}{x}[/tex], then

[tex]\frac{dy}{dx}[/tex] = 6x - [tex]\frac{4}{x^2}[/tex] ← evaluate for x = 2

[tex]\frac{dy}{dx}[/tex] = 6(2) - [tex]\frac{4}{4}[/tex] = 12 - 1 = 11 ← as required

Let me know if you require assistance on (b) and (c)

Answer:

Step-by-step explanation:

from left to right

1. 2400+280=2680

second row

2.540+63=603

third row

2940+343       =3283

top to bottom last row

2680

  +

603

=3283

=

Answer:

yes 54.5 is passing a grade

Step-by-step explanation:

Answer:

Step-by-step explanation:

no 54.5% is not passing...  and the lowest you can have and still pass is 59%... well if you consider a D passing

Answer:you still on it ?

Step-by-step explanation:

Answer:

-6 is the answer.

Step-by-step explanation:

SO to do this:

given y=x-6

plug in 0 for x and solve for y

y = 0-6

y= -6

Answer:

the answer is 6 if I had time to explain how I got this but I have to walk my dog after put my phone down then watch tv sorry for the extra stuff.

Step-by-step explanation:

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

Answer:

b) x=13

Step-by-step explanation:

first divide 10 by 2 to get the base of one side of the triangle

the answer will be 5

Then using the Pythagorean theorem

a2+b2=c2

12^2+5^2=169

the square root of 169 will be 13

Answer:

Direct variation: y = 3x, y = (2/7)x, and -0.5x = y

Not direct variation: x = -1, y = 2.2x + 7, and y = 4

Step-by-step explanation:

We know that the equation for direct variation is y = k · x, where you can fill in for k whatever number you want.

So, let’s figure this out by looking at the equations.

Equation 1: y = 3x

We know this is a direct variation equation because it all fits together and the 3 is a substitute for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because:

1) the variable by itself on one side is x, when it is supposed to be y

2) there is only one number, -1, when instead it should say, -1x.

Equation 3: y= (2/7)x

This is an example of direct variation because the 2/7 is filling in for the k, and everything else matched the direct variation equation.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, let’s just turn the equation around to make it simpler.

Now we have:

y = -0.5x

This makes sense because we have everything a direct variation equation needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also not an example of direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x in here! We have a k, but not an x!

Hope this helps! :)

The equations represent Direct variation are y = 3x, y = (2/7)x, and -0.5x = y

The equations represent Not direct variation: x = -1, y = 2.2x + 7, and y = 4

An equation is an expression that shows the relationship between two or more numbers and variables.

We know that the equation for direct variation can be written as;

y = kx,  

Equation 1; y = 3x

This is a direct variation equation because the 3 is a correct value for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because the variable by itself on one side is x, when it is supposed to be y at that place.

Equation 3: y= (2/7)x

This is direct variation because the 2/7 is filling in for the k.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, then just turn the equation around to make it simpler.

Now we have;

y = -0.5x

This is a direct variation equation that needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also a direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x. We have a k, but not an x!

Learn more about equations here;

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