to solve the problem. A Jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?
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3a² - 24ab + 48b² = 3 ( a - 4b )²

We will start by rewriting the given quadratic polynomial,

3a² - 24ab + 48b²

Taking out the common "3",

=> 3 ( a² - 8ab + 16b² )

Splitting the middle term i.e. " - 8ab " appropriately,

=> 3 ( a² - 4ab - 4ab + 16b² )

=> 3 [ a ( a - 4b ) - 4b ( a + 4b ) ]

=> 3 ( a - 4b ) ( a - 4b )

Hence, option C is correct.

Answer:

[tex]\huge\boxed{\tt{ 3 (a-4b)(a-4b)}}[/tex]

Step-by-step explanation:

[tex]\sf 3a^2-24ab+48b^2\\\\Taking \ 3 \ as \ common\\\\= 3 (a^2-8ab+16b^2)\\\\= 3 [(a)^2 - 2 (a)(4) + (4b)^2]\\\\Using \ Formula \ a^2 - 2ab + b^2 = (a-b)^2\\\\= 3 (a-4b)^2\\\\= 3 (a-4b)(a-4b)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

You didn;t give any choices??

Step-by-step explanation:

Answer:

782

Step-by-step explanation:

Since it's asking for the before game miles youd have to take he total yards.

(871)

The you wanna take the total yards ran from that one game.

(89)

Then just subtract by the number of yards total and the number of yards ran in that one game.

871-89=782

Answer:

x +10 =0 (1)

-8x -9y=1 (2)

x=-10 => (2) 80-9y=1 =>y=9

=> x=-10, y=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

cc

Answer:

on product side there will also 6 carbon atom

Answer:

x = 0

Step-by-step explanation:

[tex]{2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\ \\ {2}^{x} - \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\ \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\ \\ {( {2}^{x} )}^{2} = {(\sqrt{ {6}^{x} })}^{2} \\ \\ {2}^{2x} = {6}^{x} \\ \\ {2}^{2x} = {(2 \times 3)}^{x} \\ \\ {2}^{2x} = {2 ^{x} \times 3}^{x} \\ \\ \frac{ {2}^{2x} }{ {2}^{x} } = 3^{x} \\ \\ {2}^{2x - x} = {3}^{x} \\ \\ {2}^{x} = {3}^{x} \\ \\ \frac{ {2}^{x} }{ {3}^{x} } = 1 \\ \\ \bigg( \frac{2}{3} \bigg)^{x} = 1 \\ \\ \implies \: x = 0 \\ \\ \because \: for \: x = 0 \\ \\ \bigg( \frac{2}{3} \bigg)^{0} = 1[/tex]

Answer:

541.1 square feet

Step-by-step explanation:

A = πr²

1) convert in. to ft because answer is in sq. ft

78 in => 6.5 ft

2) Find radius of entire area

6.5 ft + radius of inner circle

6.5 + 10 = 16.5

3) Calculate area of combined circles

A = π(16.5)²

A = 855.3 sq. ft

4) Find area of inner circle

A = π(10)²

A = 314.2 sq. ft

5) Subtract area of inner circle from combined area

855.3 sq ft - 314.2 sq. ft = 541.1 sq. ft

Answer:

The value of x is 3

Step-by-step explanation:

Here, we want to find the value of x

to do this, we apply the principle of similar triangles

That would work as follows;

4/x + 5 = 7/(2x + x + 5)

4/x + 5 = 7/3x + 5

4(3x + 5) = 7(x + 5)

12x + 20 = 7x + 35

12x - 7x = 35-20

5x = 15

x = 15/5

x = 3

Answer:

x= -8, y= -9

Step-by-step explanation:

(try and use m a t h w a y. It gives answers to everything) :)

Answer:

I don't know if I understood correctly but here is the answer I think could be right.

-5-(-8)=3

2+1=3

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Answer:

V≈113.1cm³  radius = 3 cm

Step-by-step explanation:

Answer:

v=113.1cm^3

Step-by-step explanation:

Answer: D.  T <-9, -2> (ΔABC) = ΔDEF

Step-by-step explanation:

D = A

A (3, 0) --> D (-6, -2)

To get the x-coordinate of D, you add -9 to 3

To get the y-coordinate of D, you add -2 to 0

T <-9, -2> (ΔABC) = ΔDEF

Hope this helped!

Answer:

77

Step-by-step explanation:

I am right for sure

Answer:

ab+c=d

  -c

ab=d-c

  /a

b=d-c/a

Step-by-step explanation:

Answer:c

Step-by-step explanations: you have to change the subtraction to addition which changes your negative to a positive so then you add those two together

Answer:

Step-by-step explanation:

Choose 0 to substitute in for x to find the ordered pair. Remove parentheses. Simplify 3(0)−10 3 ( 0 ) - 10 .

Answer:

-5

Step-by-step explanation:

The axis of symmetry is the x- axis of the vetex.

Answer:

I think It´s C

Step-by-step explanation:

Answer:

BD - AC = 0

Step-by-step explanation:

Given that:

BC = 36 , CD = 15 and BD = x

As these are forming right angled triangle,

Using Pythagorean theorem,

[tex](BD)^2+(CD)^2=x^2\\(36)^2+(15)^2 = x^2\\1296 + 225 = x^2\\1521 = x^2\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{1521}\\x=39[/tex]

As the given shape is rectangular, the sides parallel to each other will have same values.

AB = 15 , AD = 36 and AC = x

[tex](15)^2+(36)^2 = x^2 \\225 + 1296 = x^2 \\1521 = x^2 \\x = 39[/tex]

Now,

BD - AC = 39 - 39 = 0

Hence,

BD - AC = 0

Answer:

225%

Step-by-step explanation:

Find the difference between the two prices, then divide it by the original price:

78 - 24 = 54

54/24

= 2.25

So, the markup rate is 225%

Answer:

3/4

Step-by-step explanation:

f(0) - f(3) / 0 - 3

f(0) = -4

f(3) = 9/4 - 16/4  = -7/4

f(0) - f(3) = [-4 - (-7/4)]

f(0) - f(3) = [-16/4 + 7/4]

f(0) - f(3) = -9/4

-9/4 ÷ -3  =  -9/4 · -1/3  =  3/4