in the four graphs below, determine what transformation was used to transform ABC to A’B’C’. then, for each one, write the correct description of the transformation along with the algebraic notation

This refers to the tax paid to a governing body for the sales of certain goods and services.

In  Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5

In Davidson County , the sales tax rate is 9.25% =  9.25%  × $1,000 = $1,092.5

The amount saved will therefore be $1,097.5 - $1,092.5 = $5.

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Answer:

x = 3 , x = 7

Step-by-step explanation:

3(x - 5)² - 17 = - 5 ( add 17 to both sides )

3(x - 5)² = 12 ( divide both sides by 3 )

(x - 5)² = 4 ( take square root of both sides )

x - 5 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 5 to both sides )

x = 5 ± 2

then

x = 5 - 2 = 3

x = 5 + 2 = 7

Answer:

101828.833333

Step-by-step explanation:

you have to multiply the two numbers then divide by 12

Answer: Look at the screenshot

Step-by-step explanation:

Ive added a screenshot of what this graph should look like

Answer:

*View attached graph*

Step-by-step explanation:

I graphed 6 points, so you are able to choose the ones you want :)

*View attached graph*

Hope this helps!

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

[tex]2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Let the simplified form of the above expression is n. Thus,

[tex]n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}[/tex]

Rewrite the equation to solve it further as,

[tex]n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}[/tex]

The square of the term cancel out the square root of it. Thus,

[tex]n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}[/tex]

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

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Answer:

Step-by-step explanation:

∠ABD is the complementary angle to ∠BDC.

Two angles are complementary when they add up to 90°

Step-by-step explanation:

input is C and D and output is A and B

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

The height is 36, but since the units are feet, it is 36 feet.

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

Here,

To calculate :

We have :

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

Answer:

x=0

Step-by-step explanation:

because you divide by x^12

x^n=x^0

x=0

Answer: 31

Step-by-step explanation:

25+6 which equals the answer 31!

The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).

Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.

An example of equivalent statement besides the one given already is:

A cat is an animal.

A pet is an animal you own.

Therefore owning a cat is the same as owning a pet.

Therefore:

If Jake owns a cat then he owns a pet.

If Jake doesn't own a pet then he doesn't own a cat.

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Answer:

4.8 ounces

Step-by-step explanation:

X= number of ounces for the $3.00 mixture of seasoning

$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture

X + 24-X = 24OZ To get the missing term we will subtract what we have from X

100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100

(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis

300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200

300X - 175X = 4,800 - 4,200 Combine Like Terms

125X = 600 Get X alone

125 125 To get X, we will divide both sides by 125

X = 4.8 OZ

The chef used 4.8 ounces of the $3.00 seasoning

Answer:

The mass of the ring is 12 grams.

Step-by-step explanation:

Total 20 parts

Gold 3/4 total mass (15/20)

3/4=9g

1/4=3g

4/4=12g

Answer:

mass of the ring = 12 g

Step-by-step explanation:

Given ratio

gold : palladium : nickel : zinc = 15 : 2 : 2 : 1

Add the ratios:  15 + 2 + 2 + 1 = 20

Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.

Let the mass of the ring = x

As the ring containts 9 g of gold

[tex]\sf \implies \dfrac34x=9[/tex]

[tex]\sf \implies x=9 \cdot \dfrac43[/tex]

[tex]\sf \implies x=12[/tex]

Therefore, the mass of the ring is 12 g

comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.

Answer:

y:  13, 22, 25, 28

ordered pairs: (3, 13)  (6, 22)  (7, 25)  (8, 28)

Step-by-step explanation:

Given:

To find the y-values, substitute the x-values into the function and solve.

when x = 3

y = 3(3) + 4

  = 9 + 4

  = 13

when x = 6

y = 3(6) + 4

   = 18 + 4

   = 22

when x = 7

y = 3(7) + 4

   = 21 + 4

   = 25

when x = 8

y = 3(8) + 4

  = 24 + 4

  = 28

Therefore, the ordered pairs are;  (3, 13)  (6, 22)  (7, 25)  (8, 28)

Answer:

 2a2 • (a + 1) • (a - 3)

Step-by-step explanation:

Answer:

I need to know the dimensions to solve

Answer:

A = 3x² - x - 10

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

   = 3x² - 6x + 5x - 10 ← collect like terms

   = 3x² - x - 10

Answer:

A = 3x² - x - 10

Step-by-step explanation:

A = length × width

A = (3x + 5)(x - 2)

A = 3x(x - 2) + 5(x - 2)

A = 3x² - 6x + 5x - 10

A = 3x² - x - 10

Answer:

Step-by-step explanation:

Answer:

8.16, 8.2, 8.245, 8.25

Step-by-step explanation:

8 1/6 = 8.16

41/5 = 8.2

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

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Answer: c-3

Step-by-step explanation:

it is wanting you to take c minus 3

Answer:

g is 50 degrees

g is a supplement of 130 so they add up to 180

Answer:

The angel G:
= 50 degrees

A straight line is 180 degrees. The is already an angel has shown that takes up the majority of the line which is 130 degrees.

180 degrees - 130 degrees = 50 degrees

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

angle 1=angle 4 ( vertical opposite angle)

Answer:270

Step-by-step explanation:

Length:

U = 3 inches

W = 7 inches

Y = 8 inches

Add them up: 18 inches all together.

Width:

V = 4 inches

X = 7 inches
Z = 4 inches

Add them up: 15

A= L x W —>  15 x 18 = 270

Answer:

a)  0.905 (3 dp)

Step-by-step explanation:

Binomial distribution X ~ B(n, p)

where n is the the number of trials and p is the probability of success

Binomial formula:

[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]

Given:  X ~ B(100, 0.001)

Therefore, n = 100 and p = 0.001

Substituting these values into the binomial formula and solving for x = 0:

[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]

[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]

[tex]\implies P(X=0)=0.9047921471...[/tex]

[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]

Answer:

Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.

Based on the amount that London deposited every month and the number of years involved, London would have $57,515.16.

The amount that London deposits every month is an annuity because it is a fixed amount.

The value in 11 years is therefore the future value of an annuity which can be found as:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

The number of periods is:

= 11 years x 12 months

= 132 months

Future value is:
= 320 x ( ( 1 + 0.45%)¹³² - 1) / 0.45%

= $57,515.16

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Check the picture below.

Answer:

  x = 43°

Step-by-step explanation:

The three angles to the right of the diagonal line add up to give the angle measure of the line:

  x +90° +47° = 180°

  x = 43° . . . . . . . . . . . . . subtract 137° from both sides

Answer:

a₁₂ = - 4194304

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then

a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304