what is 8x+y=-16 -3x+y=-15

The solution to the given system of equations y = x² + 10x + 11, y = x² + x - 7 is x = -2, y = -5.

The given set of equations

y = x² + 10x + 11 --- eqn(1)

y = x² + x - 7 --- eqn(2)

Solving the equations by elimination method

⇒ Subtracting eqn 2 from eqn 1, we get

⇒ y - y = x² + 10x + 11 - (x² + x - 7)

⇒ 0 = x² + 10x + 11 - x² - x + 7

⇒ 0 = 9x + 18

⇒ 9x = -18

⇒ x = -2

Put the value of x in eqn 1, and we get

⇒ y = (-2)² + 10(-2) + 11

⇒ y = 4 - 20 + 11

⇒ y = -5

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To graph 3-dimensional coordinates, you will need a 3-dimensional graph or plot. As with 2-dimensional coordinates, each point is labeled with three coordinates (x, y, z). You can then plot the point on a 3-dimensional graph by connecting the x, y and z coordinates with 3 lines.

1. Determine the coordinates of the point you want to plot.

2. Draw 3 axes on a graph paper or use a 3D graph on your computer.

3. Label each axis with the corresponding coordinate (x, y, z).

4. Plot the point by connecting the corresponding coordinates with 3 lines.

5. Add labels to the point to indicate which point it is and what the coordinates are.

To graph 3-dimensional coordinates, you will need a 3-dimensional graph or plot. As with 2-dimensional coordinates, each point is labeled with three coordinates (x, y, z). You can then plot the point on a 3-dimensional graph by connecting the x, y and z coordinates with 3 lines.

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Answer:

We can start by using algebra to represent the given information in the problem in terms of variables. Let x be the cost of each candy bar. Then we can write the following equation:

3 + 7x = 31

This equation states that the total cost of the soft drink and the candy bars is $31, and the cost of the candy bars is 7 times the cost of each candy bar.

Now we can solve for x, the cost of each candy bar:

3 + 7x = 31

7x = 31 - 3

7x = 28

x = 28/7

x = 4

Each candy bar cost $4.

We can also check this by substituting this value back into the original equation to see if it is true:

3 + 7(4) = 31

3 + 28 = 31

31 = 31

This confirms that the cost of each candy bar is $4.

Step-by-step explanation:

The definite integral is [tex]$$\left(r^{\wedge} 3\right) /\left(\text { sqrt }\left(4+r^{\wedge} 2\right)\right) d r$$[/tex] [tex]=0.116[/tex].

As per given data,

Definite Integral helps to find the area of a curve in a graph. It has limits, which are the start and the endpoints, within which the area under a curve is calculated. The limit points can be taken as [a, b], to find the area of the curve f(x), with respect to the x-axis.

Here,

∫ = Integration symbol

a = Lower limit

b = Upper limit

f(x) = Integrand

dx = Integrating agent

Thus, ∫ab f(x) dx is read as the definite integral of f(x) with respect to dx from a to b.

Indefinite integrals are implemented when the boundaries of the integrand are not specified.

Consider the following integral:

[tex]$$\int_0^1 \frac{r^3}{\sqrt{4+r^2}} d r$$[/tex]

The objective is to evaluate the integral, using substitution method.

Let [tex]$u=4+r^2 \rightarrow r^2=u-4$[/tex]

[tex]$$\begin{aligned}& d u=2 r d r \\& r d r=\frac{d u}{2}\end{aligned}$$[/tex]

when [tex]$r=0$[/tex], then [tex]$u=4$[/tex]

When [tex]r =1[/tex], then [tex]u=5[/tex]

Use the above details to evaluate the integral.

[tex]& =\frac{1}{2}\left[\frac{2 u^{\frac{3}{2}}}{3}-8 \sqrt{u}\right]_4^5 \\& =\left[\frac{u^{\frac{3}{2}}}{3}-4 \sqrt{u}\right]_4^5 \\& =0.116 \\& =\frac{5^{\frac{3}{2}}}{3}-4 \sqrt{5}-\frac{4^{\frac{3}{2}}}{3}+8 \\& =0.11585 \\& \left.=\left[\frac{5^{\frac{3}{2}}}{3}-4 \sqrt{5}\right]^{-}\left(\frac{4^{\frac{3}{2}}}{3}-4 \sqrt{4}\right)\right][/tex]

[tex]$$& \int_0^1 \frac{r^3}{\sqrt{4+r^2}} d r=\int_0^1 \frac{r^2}{\sqrt{4+r^2}}(r d r) \\& =\int_4^5 \frac{(u-4)}{\sqrt{u}}\left(\frac{d u}{2}\right) \\& =\frac{1}{2} \int_4^5 \frac{(u-4)}{\sqrt{u}} d u \\& =\frac{1}{2} \int_4^5\left(\sqrt{u}-\frac{4}{\sqrt{u}}\right)^{d u} \\[/tex]

[tex]& =\left[\frac{u^{\frac{3}{2}}}{3}-4 \sqrt{u}\right]_4^5 \\& =0.116 \\& =\frac{5^{\frac{3}{2}}}{3}-4 \sqrt{5}-\frac{4^{\frac{3}{2}}}{3}+8 \\& =0.11585 \\& \left.=\left[\frac{5^{\frac{3}{2}}}{3}-4 \sqrt{5}\right]^{-}\left(\frac{4^{\frac{3}{2}}}{3}-4 \sqrt{4}\right)\right][/tex]

Therefore, the evaluated integral is 0.116.

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The cost of 1 water canteen will be $12.6 using the equation 54+10w=182.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations.

When performing calculations but unsure of the precise amount, algebra is used.

So, we have:

Subtotal of $182.

Each lantern costs $5.40 and each water canteen costs w dollars.

Now, an equation that will determine total cost using w will be:

Let C be the total cost, then calculate as the cost of 1 water canteen:

10*5.40 + 10w = 182

54+10w=182

10w = 180 - 54

10w = 126

w = 126/10

w = $12.6

Therefore, the cost of 1 water canteen will be $12.6 using the equation 54+10w=182.

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The types of stakeholders are internal, external, Primary and secondary

Stakeholders are a group that expresses interest in the firm and whose activities, whether professional or personal, have an impact on its operations. The four types of stakeholders can be noted as -

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The number of meters that he travel farther will be 2,000 meters.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

Shawn take 2 minutes to cycle 800 m. Then the average speed is calculated as,

Average speed = 800 / 2

Average speed = 400 meters per minute

If he continues to cycle for another 5 minutes at the same average speed. Then the total distance is calculated as,

400 = Total distance / 5

Total distance = 400 x 5

Total distance = 2,000 meters

The number of meters that he travel farther will be 2,000 meters.

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The average speed is 400 m/ min and the distance covered in 5 minutes is 2000 m.

Given:

Time= 2 min

Distance = 800 m

So, speed= Distance / time

speed = 800/ 2

speed = 400 m/ min

Now, fir time= 5 min

Distance= speed x time

D = 400 x 5

D= 2000m

Hence, the distance covered is 2000m.

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Answer:

66, 68, 70, 72

Answer:

66 68 70 72

Step-by-step explanation:

it is what it is

The color of Everett's jumpsuit is given as follows:

Pink.

The color of Everett's jumpsuit is obtained considering the patterns in this problem, which are given by each of the sentences.

The jumper who wears the yellow suit started skydiving 1 year after Everett, which means that Everett does not wear yellow.

The jumper who wears the aquamarine suit started skydiving sometime before Gordon, which means that Everett could have worn the aquamarine suit.

Francisco started skydiving 2 years after Everett, which means that Everett jumped either in 1982 or in 1983.

Rodney started skydiving sometime after the skydiver who wears the pink suit, hence the order is given as follows:

Everett - Rodney - Francisco - Gordon.

From 4, we have that Everett wore the pink suit.

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Finding a line equation that can roughly represent the data is your goal. the best-fit line or regression line.

A mathematical equation is a formula that connects two statements using the equal sign (=) to signify equivalence.  For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematically, the connection between two phrases on either side of a letter is stated. The symbol doubles as the sole variable most of the time. for illustration, 2x - 4 = 2.

given

Perfect or exact lines are not present in real-world data sets.

Your task is to identify a line equation that can roughly reflect the data. The regression line or line of best fit is what we refer to as here.

You might draw a line by eye from the graph, choose some random integers, and do this.

Finding a line equation that can roughly represent the data is your goal. the best-fit line or regression line.

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Calculation for the videorecorder:

A) Hire Purchase Price: $2700

B) Monthly Instalment: $233.33

C) Difference between the hire purchase price and the cash price: $540

D) Difference as a percentage of the cash price: 20%

Solution:

A) The hire purchase price is the total cost of the item, which in this case is $2700.

B) The monthly instalment is calculated by taking the total cost of the item and subtracting the initial deposit (20% of the cash price), which is $540, and then dividing this amount by 12 (the number of months). Therefore, the monthly instalment is $233.33.

C) The difference between the hire purchase price and the cash price is calculated by taking the hire purchase price of $2700 and subtracting the cash price of $2160 (which is 80% of the hire purchase price). Therefore, the difference is $540.

D) The difference as a percentage of the cash price is calculated by taking the difference between the hire purchase price and the cash price ($540) and dividing it by the cash price ($2160). Therefore, the difference is 20%.

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The perimeter of the rectangle is 19.93 meter and the area of the rectangle is 22.22 sq. meter.

Here one side of the rectangle is 3( 3/10 ) and the other side is 6 (2/3 ) meter respectively.

Perimeter of the rectangle is 2 ( l + w ) and the Area of the rectangle is (l)*(w), where l is the length and w is the width of the rectangle.

Perimeter = 2(3 3/10 + 6 2/3) = 2(3.3 + 6.666667) = 2(9.96667) = 19.93334 meters

To find the area of a rectangle, we multiply the length by the width. The area of a rectangle with side lengths of 3 3/10 meters and 6 2/3 meters is:

Area = (3 3/10) * (6 2/3) = 3.3 * 6.666667 = 22.222222 square meters

Note that you can convert the mixed numbers to decimals, since it's more convenient to work with decimals when solving arithmetic problems.

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Answer: 25,000

Step-by-step explanation: 125,000 x 0.2 = 25,000

Answer:

  (d)  24,057

Step-by-step explanation:

Starting with 11 bacteria in a culture that triples in size every hour, you want to know the number grown in the 7th hour.

In hour 0, we have 11, and the growth factor per hour is 3. That means the population can be modeled by ...

  p = 11·3^t

where t is in hours.

In the 7th hour, the population will grow to 11·3^7 = 24,057.

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The range of the given constant function y = -5 is {-5}.

The range of a function is the set of all possible output values (y-values) that the function can produce for any input value (x-value).

y = -5 is a constant function, which means that the output value is always equal to -5 for any input value, the range of this function would be the set of real numbers that contain only the value -5.

So the range of y = -5 is {-5}.

A constant function is a special kind of function that always returns the same output value regardless of the input value.

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The required representation of given number line is x ∈ (-10,  ∞).

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently means different things to different people, it is prone to confusion in public discourse.

We have number line,

By using baby curve method.

The representation of the line is ,

Let the line is x axis

Then

x ≥-10

x ∈ (-10,  ∞)

Thus, the required inequality is  (-10,  ∞).

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To enlarge a shape by a scale factor of 1/3, you would need to reduce its size by multiplying the dimensions of the shape by 1/3. This can be done by dividing the length and width of the shape by 3.

when we say "enlarge a shape by a scale factor" it means to change the size of the shape by a certain percentage. A scale factor of 1/3 means that the new shape will be 1/3 the size of the original.

To accomplish this, you would need to multiply the length and width of each side of the shape by 1/3.

For example, If a shape has a length of 6 and a width of 4, to reduce it by 1/3, the new shape will have a length of 61/3=2 and a width of 41/3=1.3(approximately).

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Answer:

To find the final balance of an account earning interest compounded continuously, you can use the formula:

A = Pe^(rt)

where A is the final account balance, P is the initial principal (or starting) amount, r is the interest rate, and t is the time (in years) for which the interest is being calculated.

Substituting in the given values:

A = 500 * e^(0.07 * 20)

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”.

Now, According to the question:

What is inequality?

A statement involving the symbols '>', '<', ' ≥', '≤' is called an inequality. For example 5 > 3, x ≤ 4, x + y ≥ 9.

(i) Inequalities which do not involve variables are called numerical inequalities. For example 3 < 8, 5 ≥ 2.

We use the equal sign "=" to say that two things are the same. However, sometimes we just want to show that something is bigger or smaller than something else. Or maybe we just want to say that two things are not equal. These cases are called inequalities.

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Answer:

Three lines of symmetry.

Step-by-step explanation:

A figure is symmetrical when it is made up of exactly similar parts facing each other or around an axis.

See the attached photo.

There are 3 symmetrical lines:

Please let me know it this helped!!!

What graph are you talking about?

Answer:

Exact Form:

r=√143.36346562,    −√143.36346562

Decimal Form:

r

=

11.97344835

…

,

−

11.97344835

…

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

17°

Step-by-step explanation:

m∠1 = m∠2.

Set the expressions for 1 and 2 equal to each other.

6x + 5 = 9x - 46

Separate x's on one side.

3x = 51

x = 17

[tex]d-2=23[/tex]

Add 2 to both sides:

[tex]d-2+2=23+2[/tex]

[tex]\fbox{d = 25}[/tex]

The additive inverse of 11 /- 25 is -11 /+ 25. This means that the two numbers have opposite signs and the same absolute value.

The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. In other words, the two numbers have opposite signs and the same absolute value. For example, the additive inverse of 11 /- 25 is -11 /+ 25. This is because when adding 11 /- 25 and -11 /+ 25 together, the negative and positive signs cancel each other out and the absolute values add up to zero. The same concept applies to all numbers, not just integers. For example, the additive inverse of 4.7 is -4.7. When 4.7 and -4.7 are added together, the sum is 0. As such, the additive inverse of any number can be calculated by changing the sign of the number and leaving the absolute value the same.

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The smaller sail boat's height, x, is 10.5 inches.

Congruence describes two triangles that have the same number of sides and angles on each side.

The two sails in the hypothetical situation have the same sides, and their proportions are:

7/8 = x/12

x = 12.7 / 8

x = 10.5

Thus, the smaller sail boat's height, x, is 10.5 inches.

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The complete question is-

Hays build model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles.  The top angle on the sails are marked congruent to each other. The smaler sail has a a height of x and a base of 7 inches. The lareger sail has a height of 12 inches and a base of 8 inches.

There is percent decrease of 30%

50 pounds to 35 pounds

Original amount = 50 pounds

New amount= 35 pounds

Since, New amount is less than the original amount, this is a percentage of decrease.

Change in amount = 35 -50

Change in amount = -15 pounds

Substitute the given values we have;

% change = (change/original value) x 100

% change = -(15/50) x 100

% change = - 30%

Therefore, there is percent of decrease which is 30%.

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The area of the partial circle with a radius of 8 cm = 150.72 [tex]cm^{2}[/tex], then the we can use  [tex]\pi =3.14[/tex] value.

The circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.

Area of a circle is the region occupied by the circle in a two-dimensional plane.

It can be determined easily using a formula, A = [tex]\pi r^{2}[/tex] , (Pi r-squared) where r is the radius of the circle.

The unit of area is the square unit, such as [tex]m^{2}[/tex], [tex]cm^{2}[/tex], etc.

Area of Circle = [tex]\pi r^{2}[/tex] or [tex]\frac{\pi d^{2} }{4}[/tex], square units. where π = 22/7 or 3.14.

Area of a circle,

A = [tex]\pi r^{2}[/tex]      (Equation-1)

Where,

r = radius

Given that,

r = 8cm

We can substitute equation-1,

A = [tex]\pi 8^{2}[/tex] cm * cm

A = [tex]64\pi[/tex] [tex]cm^{2}[/tex]

So,

We can write,

Whole one quarter,

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

We can get,

= [tex]\frac{3}{4} *64\pi[/tex]

= 48[tex]\pi[/tex]

We can substitute [tex]\pi =3.14[/tex] value,

Then,

= 48 * 3.14

= 150.72 [tex]cm^{2}[/tex]

Therefore,

The area of the partial circle with a radius of 8 cm = 150.72 [tex]cm^{2}[/tex], then the we can use  [tex]\pi =3.14[/tex] value.

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The depreciation Straight Line Method charges a fixed depreciation amount on an annual basis for the duration of an asset. The original cost is the basis for computing the annual depreciation, which is constant year over year. This approach is additionally referred to as the "Original Cost method" or the "Fixed Instalment method."

What is straight line method answer?

  The value of an asset is steadily decreased via the Straight Line Method (SLM) of Depreciation until it reaches its scrap value. Depreciation is subtracted from the asset's value on an annual basis in a specified amount.

Why is the straight-line approach used?

The straight line approach is popular with accountants because it is simple to apply, produces fewer errors during the asset's lifetime, and costs the same amount for each accounting period.

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Answer:

Your Domain Will be (6,-12,-6,20)

Your Range will Be 36

Sorry i dont have work shown i just remember doing this problem and just gave answers glad to help and stay safe

Answer:

Domain: {6, -12, -6, 20}

Range: {0, -16 , 10 , -7}

Step-by-step explanation:

Domain and Range:

Domain: In the set of ordered pairs, domain is all the x-values.

Range: In the set of ordered pairs, range is all the y-values

Domain: {6, -12, -6, 20}

Range: {0, -16 , 10 , -7}