Rectangle ABCD is shown on the grid.
A
(-1,4) 14
3
+2+
4
-6-5-4-312-3₁
(-3-b
B(3,3)
34
C(1-5)
X
What is the area of rectangle ABCD in square units?
O 3√17 square units
O 6√17 square units
O
17 square units
O 34 square units

Answer:

option c is correct....

Using it's concepts, we have that:

Hence:

A relation represents a function when each value of the input is mapped to only one value of the output.

From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.

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Answer:

y = 6x - 2

Step-by-step explanation:

We will use the slope-intercept form of a line to help us.  We know the slope, we need to determine the y-intercept.  To find this, we need an x and y on the line and the slope.  Fortunately, they have given us all of the information.  An ordered pair is in the form (x,y)  So we will use x = 1 and y = 4 from the point they have given us (1,4)  They have also given us the slope of 6.  We will plug this all into our equation and solve for b  the y-intercept.

y = mx + b

4 = 6(1) + b  

4 = 6 + b  Subtract 6 from both sides of the equation.

-2 = b

Now, write the equation

y = mx + b

y = 6x -2

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

      = -192 - 16

      = -208

8 will be your x value since it's implied within the question itself.

Answer:

-208

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-3x^2-2x[/tex]

To find f(8), substitute x = 8 into the function:

[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]

Therefore, f(8) = -208.

The number of subsets of A is 16

Given that the numbers in the subset are 1,2,3,4

The number of elements are 4

The number of subsets can be calculated as follows

2⁴

= 16

Hence the number of subsets of A is 16

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Answer: -30

Step-by-step explanation:

Answer:

the answer would be -30!!!

Step-by-step explanation:

i took the quiz.

The perimeter of the figure is 8 + √14 units

The coordinates are given as

X(0,1), Y(4, -2), Z(-5, -2)​

Next, we plot the above coordinates on a coordinate plane

See attachment for the plot of the coordinates on a coordinate plane

Next, we calculate the distance between the points using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have

XY = √(0 - 4)^2 + (1 + 2)^2 = 5

XZ = √(0 + 5)^2 + (1 + 2)^2 = √14

YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3

The perimeter is calculated as

P = XY + XZ + YZ

So, we have

P = 5 + √14 + 3

Evaluate

P = 8 + √14

Hence, the perimeter of the figure is 8 + √14 units

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Answer:

4n^2 + 5n.

Step-by-step explanation:

If the number is n, then:

4n^2 + 5n.

Answer:

3/12 or 1/4 in simplest fraction form

Step-by-step explanation:

Slope is given by the formula rise/run

Here rise = 3, run = 12  

So slope = 3/12 = 1/4

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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Answer:

2 hours

Step-by-step explanation:

Rate_Sally=1/3, Rate_Steve=1/6, Rate_Together=Rate_Sally+Rate_Steve;

T_Together=1/Rate_Together

               =1/(1/3+1/6)=1/(1/2)=2 hours

Step-by-step explanation:

As we know that the value of Complementary angle is always 90°

9x° + 6° + 3x° = 90°

12x° + 6° = 90°

12x° = 90° - 6

12x° = 84°

[tex]x° = \frac{84°}{12°} \\ [/tex]

x° = 7°

☘️☘️☘️ ...

Answer: 45,000,000,000 dl

Step-by-step explanation:

10,000,000,000 dl=1 gl

4.5 gl * 10,000,000,000 dl/1 gl =

4.5 * 10,000,000,000 dl = 45,000,000,000 dl

Answer:

Any line with a slope of -5/8 would be parallel to this line.

Step-by-step explanation:

First write this in the slope intercept form of a line

y = mx + b.  The number before the x will be the slope.

5x + 8y = 24  Subtract 5x from both sides of the equation

8y = -5x +24 Divide everything by 8

y = -5/8x + 3

If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%

A region's average movie ticket price in 2007 was $6. 51

A region's average movie ticket price in 2017 was $8. 57

Increase in price = 8.57 - 6. 51 = $1.06

Percentage of increase = (increase in price / original price)*100

= (1.06/6.51)*100

16%

If a region’s average movie theater ticket price in 2007 was $6.51. For 2017, it was estimated to be $8.57, the percent of increase in average movie theater ticket price is 16%

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Explanation:

A = last year's value = 290,700

B = this year's value = 312,000

C = change in values

C = B - A

C = 312,000 - 290,700 = 21,300

The positive result shows the increase of 21,300 more motorcycles made this year, compared to last year. A negative C value would represent a percent decrease.

Divide this change over the original.

C/A = (21,300)/(290,700) = 0.07327141382869

which is approximate. Let's say we rounded to four decimal places to get 0.0733 which then converts to the percentage 7.33%

No, 12 17 and 14 19 determined ratio are not proportional.

If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.

We can observe that 17 and 19 are prime numbers,

So, 12 : 17 cannot be simplified further,

Neither 14 : 19 can be simplified.

⇒ 12 : 17 ≠ 14 : 19

∴ We can say that 12 17 and 14 19 determined ratio are not proportional.

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The ascending order is: 2/8 < 1/3 < 5/12 < 3/4.

The given order is;

1/3 , 3/4 , 5/12 ,2/8​

Write the values in the decimal forms;

0.33, 0.75, 0.416, 0.25.

Now arrange the sequence is the ascending order;

0.25, 0.33, 0.416, 0.75

Again transform them in fraction form;

2/8 < 1/3 < 5/12 < 3/4

Thus, the ascending order is found as 2/8, 1/3, 5/12, 3/4.

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The factors to consider before choosing a bank are;

1) The security of your funds.

2) The type of account you want to open.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates.

5) Cash Limits

6) Online Banking.

7) Trust factor.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

The factors to consider before choosing a bank are;

1) The security of your funds; This is important so that your funds are well protected against any type of fraud.

2) The type of account you want to open; This is also key because of operations.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates; This is important as one would like a higher interest rates on his savings.

5) Cash Limits; This is important because some banks have a withdrawal limit per day.

6) Online Banking; This is important as banking is now global and as such online presence is very key.

7) Trust factor; You need to be able to trust this bank enough to put your money there.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

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The amount paid for the refrigerator is $740.25.

From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.

The price of the refrigerator will be:

= $705 + (0.05 × $705)

= $705 + $35.25

= $740.25

Therefore, the amount paid for the refrigerator is $740.25

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Answer:

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

Step-by-step explanation:

(Only in 7th so might be wrong)

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

look at the range of where the x and y is at (1-2 included = 1<x≤2)

(3, -1)

Any point can be located using a Cartesian coordinate system or coordinate system, and that point can be displayed as an ordered pair (x, y) known as Coordinates. The origin, denoted by the letter "O," is the point where the two number lines intersect. The horizontal number line is known as the X-axis, and the vertical number line is known as the Y-axis.

Reflection of a coordinate in x-axis, negates the y - coordinate.

So, negation of 1 = -1

So, the new coordinate is ( 3, -1)

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The value of x is 7. The correct option is A. 7

From the question, we are to determine the value of x

From the given information,

Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session

Also,

She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions

Then, we can write that

x × $15 + (x -2) × $25 = $230

Solve for x in the equation

15x + 25(x -2) = 230

15x + 25x - 50 = 230

40x - 50 = 230

40x = 230 + 50

40x = 280

x = 280/40

x = 7

Hence, the value of x is 7. The correct option is A. 7

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Answer:

B. 7

Step-by-step explanation:

Correct on edmentum!

Answer:

b

Step-by-step explanation:

earned at the end of one year? How much interest would you have earned compounded annually after 2 years?

Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.

Remember: Interest - Principal x Rate x Time

Answer:

Monday.

Step-by-step explanation:

total money = the cost of one day x the number of students

$64 > $52 > $36

$64 is the greatest, so the correct answer is monday.

If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.

The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.

Functions may be found almost everywhere, and creating links between physical objects requires their use.

Given

The answer to the question f(x) is.

(x+3)^2 -10

The left side by three units serves as the axis of symmetry for the function f(x).

The axis of symmetry for g(x) may be found five units to the right of where f is located (x).

If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.

After that, the expression for g(x) will be g(x) = (x-2)2 +k.

Therefore, option A is the one to choose.

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The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.

Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Answer:

57.3

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]

[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]

[tex]\mathsf{= \dfrac{172}{3}}[/tex]

[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

95 + (15 x n)  n = number of people attending

Step-by-step explanation:

the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$