In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Answer:

n= -2 and m=3

Step-by-step explanation:

3 x 3= 9

11- 9 = 2

Answer:

the answer is im in college and wait nope im in middle school cant help sorry

Step-by-step explanation:

Answer:

Yes. They are equal.

Step-by-step explanation:

Let's simplify 5x-3(2x-4)

5x-3(2x-4)

5x-6x-12 (distribute)

-x+12

-x+12 and 12-x is the same thing just reversed.

so they are equal.

hope this helps

brainliest?

Answer:

The width is 3 inches.

Step-by-step explanation:

First, let's identify our variables.

L=Length

W=Width

P=Perimeter

P=2W+2L

We know that L=W+6

We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:

8W=2W+2(w+6)

If you go through all the steps to isolate the variable W, you'll end up with W=3

Answer:

Step-by-step explanation:

The slope is -1!

Btw the y intercept is (0,-4)

The answer is b.) -2

Answer:

slope would be -2

Step-by-step explanation:

slope formula

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

We know: (1, 9) and (4, 3)

plug in the numbers

[tex] \frac{9 - 3}{1 - 4} [/tex]

subtract

[tex] \frac{6}{ - 3} [/tex]

divide

[tex] - 2[/tex]

Tadaaaa

Answer:

1/5, 2/5, 3/5, and 4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The weights in pounds of the defensive linemen were :

254,311, 297, 323, 260, 242, 300, 252, 303, 274

Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

The weights in pounds of the offensive linemen were :

310 ,315, 305, 318, 298, 301, 321, 332, 320

Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

a)

Offensive line       Stem        Defensive line

                               24     |            2

                               25     |            2 , 4

                               26     |            0

                               27     |            4

         8             |      29     |           7

      1,5              |      30     |           0,3

     0,5,8           |      31      |           1

     0,1               |      32     |           3

      2                |      33     |

Five number summary of offensive line:

1) minimum: 298

2) maximum: 332

3)

Lower quartile:298 ,301 ,305 ,310

Q1 is the median of lower quartile

[tex]Q1=\frac{301+305}{2}=303[/tex]

4)

Upper quartile:318 ,320 ,321 ,332

Q3 is the median of upper quartile

[tex]Q3=\frac{320+321}{2}=320.5[/tex]

5)

Q2 is the median

 298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315

Q2=315

Five number summary of defensive line:

1) minimum: 242

2) maximum: 323

3)

Lower quartile:242 ,252 ,254 ,260 ,274

Q1 is the median of lower quartile

Q1=254

4)

Upper quartile:297 ,300 ,303 ,311 ,323

Q3 is the median of upper quartile

Q3=303

5)

Q2 is the median

 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

Mid value =\frac{274+297}{2}=285.5

Q2=285.5

c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]

Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]

Mean weight of offensive line is more

So, Offensive group of players tends to be heavier

Answer:

x = 5

Step-by-step explanation:

This uses the altitude on hypotenuse theorem

The 2 triangles formed are similar to the given triangle and to each other.

Δ ADB ~ Δ BDC

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values

[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Answer:

f en el chat box

Step-by-step explanation:

Answer:

Multiple 234 denomitor to that

Step-by-step explanation:

!!!!

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.

Average speed is the total distance travelled per time. It is used to determine the total distance per time.

Average speed = total distance / total time

644 / 8 = 80.50 km/h.

To learn more about average speed, please check: https://brainly.com/question/21734785

Answer:

y = 5x -15

Step-by-step explanation:

slope/y-int from = y =mx+b

slope = y2-y1/x2-x2

slope = 0--15 / 3-0

slope = 15 / 3

slope = 5

y-int = -15

y = 5x-15

Answer:

False

Step-by-step explanation:

This statement is false. If you multiply two negative rational numbers together, say -8 and -7, you get 56. In fact, you cannot multiply any two negative rational numbers and get zero.

Answer:

sign C, sign B, sign A

Step-by-step explanation:

Given the vertices of triangular post A as (2, 2) , (2, 12) , and (17, 7). Let us find the length of side of the post using the formula for calculating distance between 2 points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

For the coordinate (2, 2) , (2, 12)

S₁ = √(12-2)²+(2-2)²

S₁ = √(10)²+(0)²

S₁ = √100

S₁ = 10

For the coordinate (2, 2) , (17, 7)

S₂ = √(7-2)²+(17-2)²

S₂ = √(5)²+(15)²

S₂ = √25+225

S₂ = √250

S₂ = 15.8

For the coordinate (2, 12) , (17, 7)

S₃ = √(7-12)²+(17-2)²

S₃ = √(-5)²+(15)²

S₃ = √25+225

S₃ = √250

S₃ = 15.8

Perimeter of sign A = S₁+S₂+S₃

Perimeter of sign A = 10+15.8+15.8

Perimeter of sign A = 41.6

FOR SIGN B with coordinate of vertices (4,4),(11, 19) and (18, 4)

For the coordinate (4, 4) , (11, 19)

S₁ = √(19-4)²+(11-4)²

S₁ = √(15)²+(7)²

S₁ = √225+49

S₁ = 16.6

For the coordinate (4, 4) , (18, 4)

S₂ = √(4-4)²+(18-4)²

S₂ = √(0)²+(14)²

S₂ = √196

S₂ = 14

For the coordinate (11, 19) , (18, 4)

S₃ = √(4-19)²+(18-11)²

S₃ = √(-15)²+(7)²

S₃ = √225+49

S₃ = 16.6

Perimeter of sign B = S₁+S₂+S₃

Perimeter of sign B = 14+16.6+16.6

Perimeter of sign B = 47.2

FOR SIGN C with coordinate of vertices (4, 8), (24, 1) , and (24, 15)

For the coordinate (4, 8) , (24, 1)

S₁ = √(1-8)²+(24-4)²

S₁ = √(-7)²+(20)²

S₁ = √49+400

S₁ = 21.2

For the coordinate (4, 8) , (24, 15)

S₂ = √(15-8)²+(24-4)²

S₂ = √(7)²+(20)²

S₂ = √49+400

S₂ = 21.2

For the coordinate (24, 1) , (24, 15)

S₃ = √(15-1)²+(24-24)²

S₃ = √(14)²+(0)²

S₃ = √196+0

S₃ = 14

Perimeter of sign C = S₁+S₂+S₃

Perimeter of sign C = 14+21.2+21.2

Perimeter of sign C = 56.4

Arranging in order from largest to smallest perimeter, Sign C(56.4), Sign B (47.2), sign A (41.6)

Answer:

i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplicative inverse is the reciprocal of a number.

Example:

15 x ? =1

The reciprocal of 15 is 1/15 therefore,

15 x 1/15 =1

You would cross cancel the 15 integers. Leaving 1 on bothsidea

Answer:

its b) -2

Step-by-step explanation:

i just did it

Answer:

A. 6 ∙ (30 - 1)

Step-by-step explanation:

How can we re-write the expression below into “friendlier” terms? 6 ∙ 29

options:

A. 6 ∙ (30 - 1)

B. 6 ∙ (16 + 13)

C. 6 ∙ (19 + 10)

D. 6 ∙ (21 + 8)

Re-writing an expression in friendlier term means expressing the term using numbers that are closest to the expression.

Checking all options,

A. 6 ∙ (30 - 1)

Option A seems closer to 6 ∙ 29 because, 30 - 1 which is very easy to evaluate gives 29

Moreover, 29 is very close to 30

Compared to other options, which have values that requires more thinking in evaluation

tabulate the of value x and y. i don't y so if u hv it in the question then u put maybe when x=0 then find value of y and all intergers near zero of ur choice in the x value.

eg x= -1, find value of y

after draw the x,y plane and graph ur answers.

Answer:

A

Step-by-step explanation:

we know that xoy is 90° on every quadrant

also the origine where p start is a little bit down from x axis so A is the right answer as it is the most logical point

D and C cant be P because are a very large angle of rotation than 105.B is smaller then 105 rotation of p so A is the right one.

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

Explanation:

The expression 7^(-2)*7^6 simplifies to 7^4

We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6

In short, we add the exponents.

----------

In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.

Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4

This is why choice A is one equivalent expression.

----------

Choice D is the other equivalent expression since

(7^2)^2 = 7^(2*2) = 7^4

The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.

-----------

Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.

Then go through each answer choice to see which also produce a result of 2401.

Answer:

5 liters

Step-by-step explanation:

Let x represent the number of liters of the 17% solution, and represent the percentages as decimal values:

0.1(2) + (0.17)(x) = 0.15(x + 2)

Simplify:

0.2 + 0.17x = 0.15x + 0.3

Solve for x:

0.17x = 0.15x + 0.1

0.02x = 0.1

x = 5

So, you would need 5 liters of a 17% solution to get a 15% solution

Answer:

x = -9

Step-by-step explanation:

Step 1: Write equation

2 + x = -7

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

A

Step-by-step explanation:

42-34=8

3/4

6/8-1/8=5/8

8+5/8= 8 5/8

Answer:

A) 8 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Answer: m/_ = 50

m/_= 130

Step-by-step explanation:

Answer:

The answer is d. (0,-6)

Step-by-step explanation:

Answer:

The bananas weigh 3 3/4 pounds.

Answer: 3 3/4

Step-by-step explanation:

All we have to do is multiply the weight of the grapes by 2 1/4.

= 1 2/3 x 2 1/4

= 5/3 x 9/4

= 45/12

= 3 9/12

= 3 3/4