Complete the square to solve the equation below.
Check all that apply.
will mark brainliest
x2 + 8x- 5 = 15
A. x=3
B. x=-2
C. x= -10
D. x= 2

Answer:

answer is 24.56cm

perimeter of half/semi circle =  \(\pi\) r + 2r

one semi circle semi circles perimeter:  \(\pi\)*2+2*2 =10.283cm,

for two semi circles= 2*10.283 =20.566cm

without the line below for two semi circle: 20.566-4-4=12.566 cm

both da side of rectangle is 6cm+6cm=12cm

now add the 12.566+12=24.56cm

Answer:

x = 22/3 = 7.333

Step-by-step explanation:

Answer:

Ok, the first step is to count all the possible selections that we have and the number of options in each selection:

1) Sandwich: 2 options, ham or turkey.

2) Soup, 2 options, tomato or vegetable.

3) Drink, 2 options, coffee or milk.

(i assume that the sandwich and the soup are separated selections)

Now, if the customer chooses at random, the probability that in one given selection he selects a given outcome is equal to the number of options that match the outcome divided by the total number of options for that selection.

Then in the soup selection we have: options that match the outcome (one, is the vegetable soup). Total number of options = 2.

Then the probability is:

P = 1/2 = 0.5

or 0.5*100% = 50% in percentage form.

Answer:

1/2

Step-by-step explanation:

Answer:

TV = 8 , SV = 8\(\sqrt{2}\)

Step-by-step explanation:

given ST = TV , then

TV = 8

using Pythagoras' identity in the right triangle

SV² = ST² + TV² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

SV = \(\sqrt{128}\) = \(\sqrt{64(2)}\) = \(\sqrt{64}\) × \(\sqrt{2}\) = 8\(\sqrt{2}\)

Answer: perfect squares are the squares of the whole numbers: 1, 4, 9,25,36,49,64,81,100...... For example, 9 is a squared number because it can be written as 3x3. However, imperfect squares are numbers whose square roots contain fractions or decimals. For example square root of 20 = 4 1/2

The square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.

We need to compare and contrast perfect squares and imperfect squares.

Perfect squares: When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square.

Imperfect squares: Numbers with fractional or decimal square roots are considered imperfect squares.

Therefore, the square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.

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Answer:

Answer 1008

Step-by-step explanation:

The ratio of money earned in August to July is 5/4.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Give, Mason worked at the water park over the summer. He made $425 in June and $680 in July.

And if he made twice as much money In August as he did in June.

That means, he made $850 in August.

The ratio of,

August / June

= 850/680

= 5/4

Therefore, the ratio is 5/4.

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Answer:

\(f(-1) = -6\)

Step-by-step explanation:

The given function is a piecewise function.  Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

\(f(x)=\begin{cases}2x+8\;\;\;\text{for}\;\;\;-5 \leq x < -1\\-6\;\;\;\;\;\;\:\:\:\text{for}\;\;\;\:x=-1\\x+5\;\;\;\;\:\text{for}\;\;\;-1 < x\leq2\end{cases}\)

To find f(-1), find the value of the function f(x) when x = -1.

From the given pieces function, we can see f(x) = -6 when x = -1.

Therefore:

\(f(-1) = -6\)

Answer:

The answer is (-2,2).

Step-by-step explanation:

Reflect across the x axis rule. (x,-y)

Reflect across the y axis rule. (-x,y)

H' = (2,2)

H'' = (-2,2)

Hope it helps!

Answer:

6k + 31

Step-by-step explanation:

19 - 6(- k - 2) ← multiply each term in the parenthesis by - 6

= 19 + 6k + 12 ← collect like terms

= 6k + 31

Answer and Step-by-step explanation:

To solve for x, we need to look at 2 deciding factors that allows us to be able to find x.

We are given 2 parallel lines, denoted by the arrow pointing right on the end of both of them, and a transversal line that cuts through the two lines. Because the lines are parallel, the angles that are formed by the transversal like will be equal or correspondent to each other in a few ways.

For the angles we are given, the angles are on the same side of the transversal line, and on the top of their respective parallel lines. Because of this, the angles are equal to each other.

To solve, set the two angles equal to each other.

4x + 20 = 2x + 60

Subtract the 2x from both sides of the equation.

2x + 20 = 60

Subtract the 20 from both sides of the equation.

2x = 40

Divide both sides by 2.

x = 20

x is equal to 20.

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I hope this helps!

Given -

two parallel lines with a transversal.

To find -

to find the value for x.

Concept applied -

Here in the figure, these two angles let's say 1 = 4x + 20° and 2 = 2x + 60° are corresponding angles. And we know that corresponding angles are equal. As all these angles that have the same position in leu the parallel lines and the transversal are corresponding pairs. Therefore, 1 = 2

Solution -

➙ 4x + 20° = 2x + 60°

➙ 4x - 2x = 60° - 20°

➙ 2x = 40°

➙ x = 40°/2

➙ x = 20°

Henceforth, the value of x = 20°.

We have to find the price of one senior ticket and the the price of one child ticket.

We have to construct a system of equations from the information given and solve it.

Let S be the price of a senior ticket and C the price of a child ticket.

On the first day, they sold 5 senior tickets and 8 child tickets for $103.

This sales amount, $103, is the sum of the sales of senior tickets and the sales of child tickets.

The sum of senior tickets can be expressed as the number of tickets, which is 5, and the price of the senior ticket, which we don't know the value but we can express it as S. Then, the sales of senior tickets is 5*S.

The same can be said for child tickets, where the sales amount can be expressed as 8*C.

Then, we can write:

On the second day, they sold 5 senior tickets and 4 child tickets, totalling $79 in sales.

We can express this as:

Now we have a system of equations, with 2 equations and 2 unknowns:

As we have 5S in both equations, we can solve for C with the elimination method: we will substract the second equation from the first.

Knowing that C = 6, we can use any of the two equations and solve for S:

Answer: A senior citizen ticket costs $11 and a child ticket costs $6.

Answer:

part A is 32 and part b is 7.42

Step-by-step explanation:

i think im right i did all the calculations

Answer:

A=32

B=14

Step-by-step explanation:

To get the Mean Add the 7#’s then divide by 7

For the absolute deviation you need the POSITIVE difference Between the mean and each number. Add these numbers and divide by 7.

32-24=8

32-19=13

32-25 = 7

32-20 = 12

32-23 = 9

32-58 = 26 Do you not make this a negative number

32-55 = 23

Therefore , to calculate the  average AVC, use the formula: TC at 0 output is 5, which equals fixed cost (FC) of 5.

The fixed cost per unit of output is known as the AFC, and the variable cost per unit of output is known as the AVC. We previously stated that Bob's Bakery can produce 100 loaves with FC = 40, VC = 500, and TC = 540. ATC = TC/Q = 540/100 = 5.4 as a result. Additionally, AVC = 500/100 = 5 and AFC = 40/100 = 0.4.

Here,

Total cost is equal to total fixed cost plus total variable cost, or TC.

In order to obtain the VC at each output, we must first subtract 5 from the TCs for all subsequent output levels.

AVC is now equal to VC divided by Q.

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Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Cost reduction is the process of lowering a business's expenses in order to increase profits.

Every year you are in school, start looking and applying. See if merit-based aid is offered by contacting the financial aid office at your institution. You may need to fulfil specific requirements in order to be eligible for merit-based funding.

Utilize tax-advantaged saving tools like Coverdell Education Savings Plans and 529 plans to start saving for college expenses as early as feasible (ESAs). However, only 529 plans are the sole means of education savings that also provide state tax advantages. Both plans offer federal tax advantages.

In order to increase earnings, a company's costs must be reduced. In addition to process optimization to increase productivity, it entails identifying and eliminating expenses that do not offer value for customers. Short-term savings are often the main goal of cost reduction.

Therefore, the correct answer is option d) Eat at restaurants and fast food places regularly.

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Answer:

3x-2

Step-by-step explanation:

f(x) + g(x)

(2x+1)+(x-3)

2x+1+x-3

3x+1-3

3x-2

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:

2ft

Step-by-step explanation:

(3)2 2/3= 8

10-8 = 2ft left

Subtraction is a mathematical operation that reflects the removal of things from a collection.  The length of the plank after Carrie cuts off the three pieces is 2 ft.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. Therefore, the length of the plank after she cut off the three pieces is,

Length of the plank afterward = 10ft - 2⅔ ft - 2⅔ ft - 2⅔ ft

                                                  = 10ft - 2.6667 ft - 2.6667 ft - 2.6667 ft

                                                  = 2 ft

Hence, the length of the plank after Carrie cuts off the three pieces is 2 ft.

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Answer:

=540

Step-by-step explanation:

10(3(25−6(22−19)+11))

=10(3(25−(6)(3)+11))

=10(3(25−18+11))

=10(3(7+11))

=10(3)(18)

=(10)(54)

=540

- it's a simplification process

Answer:

166,000(1 + 0.085)^t ; $195,000 ; $230,000

Step-by-step explanation:

Given that :

Rate of increase = 8.5% = 0.085 per year

Initial value ; price in 2011 (A) = $166,000

Formula to predict the median price t years after 2011 ;

At a continous rate :

Median price, P:

P = initial price (1 + rate)^t

P = 166,000(1 + 0.085)^t

t = time since 2011 ;

Median price of home in 2013:

t = 2013 - 2011 = 2

P = 166,000(1 + 0.085)^2

P = 166000(1.085)^2

P = 166000(1.177225)

P = 195419.35

P = $195,000 ( nearest $1000)

Median price of home in 2013:

t = 2015 - 2011 = 4

P = 166,000(1 + 0.085)^4

P = 166000(1.085)^4

P = 166000(1.385858700625)

P = 230052.54430375

P = $230,000 ( nearest $1000)

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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Answer:

b is 42

hope that helpssss

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

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The scatter plot that displays the relationship between the bench press and squat weights for this sample is given by the second image at the end of the answer.

From the scatter plot, it can be taken that the relationship is that the variables have a positive association, as when the bench press weight increases, so does the squat weight. The relationship, however, is not strong, as the scatter plot is not 100% increasing.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(bench press weight, squat weight).

From the table given by the first image at the end of the answer, the points are listed as follows:

(95, 141), (111, 208), (113, 100), (125, 218), (135, 284), (145, 275), (165, 338), (180, 338), (140, 420), (196, 420), (95, 141), (111, 208).

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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