Given the formula x, + x2 y + y2 2 2 and the points (-2,3) and (6,-1). What is the midpoint between the two points? ) Round your answer to the nearest tenth if necessary.

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

answers are 6, and -29

Answer:

4

6

y=4x+6

Step-by-step explanation:

check the attached file

Answer:

See below.

Step-by-step explanation:

a. 5 points have names.  There is an infinite number of points in the plane, but most of them are nameless!

b. two

c. one

d. line a.  Also known as \(\overleftrightarrow{VW}, \overleftrightarrow{VX}, \overleftrightarrow{WX}\)

e. W

f. \(\overleftrightarrow{YW}, \overleftrightarrow{YZ}, \overleftrightarrow{WZ}\) are all good names

g. V, W, Z is just one of several sets of 3 non-collinear points.

h. plane XWZ  (name it using 3 non-collinear points

Answer:

57,000

Step-by-step explanation:

Answer:

12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.

Step-by-step explanation:

12 is the number that comes after 11 and before 13.

12 represents the number between 11 and 13. 12 is a composite number.

We want to know how money Jessie's friend would need if he wants to ride 6 rides.

We know that the Amusement Park charges a $7 admission fee plus $1.75 per ride. We can write this as:

Where y is the cost of doing x rides on the amusement park. If we want to find the cost for 6 rides, then we should replace x for 6, and we get:

This means that the cost of Jessie's friend for 6 rides would be $17.5.

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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The solution of the expression \(\sqrt{z^4\times z^{\frac{-3}{2}}\) will be z⁵.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The expression will be solved as:-

\(E = \sqrt{z^4\times z^{\frac{-3}{2}}\)

\(E = \sqrt{(z)^{4- {\frac{3}{2}\)

E = z⁵

Therefore, the solution of the expression is z⁵.

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Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

Answer:

cos E = 6/10

cos G = 8/10

sin E = 8/10

sin G = 6/10

tan E = 8/6

tan G = 6/8

Answer:

$1

Step-by-step explanation:

1.50/3=0.5

unit price is $0.5

$0.5 * 2 kg = 1

Answer:

$1

Step-by-step explanation:All you do is divide 1.5 by 3 and you get .5 and because you need the cost for 2 kg you would add .5+.5=1

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

40.5

Step-by-step explanation:

The augmented matrix corresponding to the system of equations in this problem is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

The first row is constructed according to the coefficients of the first equation, hence it is given as follows:

[-6 -5 -4 7].

The second row is constructed according to the coefficients of the second equation, hence it is given as follows:

[7 -9 -1 -7].

The third row is constructed according to the coefficients of the third equation, hence it is given as follows:

[-9 -3 -6 7].

Hence the matrix is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

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Answer:

7.5 dollars per yard

Step-by-step explanation:

you have 0.2 yards and constant of proportionality is when its constant so you make 0.2 into 1. you multiply it 5 times. so you also multiply 1.50 5 times too. which gets you to 7.5 or $7.50.

In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C

When a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.

To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.

It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis

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Answer:

x= -1

Step-by-step explanation:

-x+2= y =2x+5

-x+2=2x+5 /+x

2=3x+5 /-5

-3=3x

x= -1

Answer:

1.8?

Step-by-step explanation:

Answer:

its 1 4/5 your welcome

Step-by-step explanation:

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer: 4 hours

Step-by-step explanation:

okay so you have to know your times tables 2*4=8 so 20*40=80 then if he paid a tip of 10$ that would equal $90 witch is what he paid.

Answer:

153.86

Step-by-step explanation:

formula - A = π × r2

3.14 x 7^2

= 153.86

Answer: 106.76 Millimeters

Step-by-step explanation:

The radius is 17 millimeters. Replace r by 17 in the formula.

C = 2​r

≈2 x 3.14 x 17

≈106.76

The circumference is about 106.76 millimeters.

Answer:

-3

Step-by-step explanation:

-(absolute value of -3)

-(3)

-3

Answer:

114ft

Step-by-step explanation:

3 times 3=9

9times 2=18

8 times 3=24

24 times 2=48

8 times 3 = 24

24 times 2 =48

48+48+18=114

Answer:

The cost of one petunia is

⇒(6-6.5)/(8-8)

⇒-0.5/6

⇒-1/12

hope it helps..

have a great day!!

b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

a. This scenario is an example of II. future value of a periodic deposit investment, as you are making regular quarterly deposits and calculating the future value after 4 years.

b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

c. This case represents III. present value of a periodic deposit investment, as you are determining the amount to deposit monthly in order to reach a specific future value in 5 years.

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Answer:

Equation: (14.71-4.48) [divided by] 3 =x

"Answer x": 3.41

Explanation:

14.71-4.48=10.23

10.23/3 = 3.41

3.41

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Answer:

You can't answer this because there isn't a regular x value, there is only a x squared

Step-by-step explanation:

\(~~~~~~x^2 +9 = 0\\\\\implies x^2 = -9\\\\\implies x = \pm\sqrt{-9}\\\\\implies x=\pm 3i\\\\\text{Which is not real, so the given expression can't be factored for} ~x \in \mathbb{R}.\)

Answer:

the approximate range of change is 150 for 3

the approximate range of change is 1600 for 4

between 1970 and 1975

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