taking algebra (9th grade) pls helpp

Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:

The domain is the set of all real numbers.

The range is y > 0

As x increases by 1, each y-value is one-seventh of the previous y-value.

Step-by-step explanation:

Edge

Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6

The correct option is D)\(2+\sqrt{6z} /4-6z\) .The choice is equivalent to the given fraction when x is an appropriate value is \(2+\sqrt{6z} /4-6z\)

Let's rationalize the denominator of the given fraction as shown below:

\($4 - \sqrt{6z} = \frac{(4 - \sqrt{6z}) (\overline{4 + \sqrt{6z}})}{(4 - \sqrt{6z}) (\overline{4 + \sqrt{6z}})}$\)

Here, the denominator is of the form\($(a-b)(a+b)$\), which can be written as \($a^2 - b^2$\).

Therefore, the above expression can be simplified as:

\(\[\frac{(4 - \sqrt{6z}) (\overline{4 + \sqrt{6z}})}{(4 - \sqrt{6z}) (\overline{4 + \sqrt{6z}})} \\= \frac{(4^2 - \sqrt{(6z)^2})}{(4 - \sqrt{6z}) (\overline{4 + \sqrt{6z}})}\\\\= \frac{16 - 6z}{16 - (6z)}\\\\= \frac{16 - 6z}{10} = \frac{8-3z}{5}\]\)

Therefore, we can see that choice D) \(2+\sqrt{6z} /4-6z\) is equivalent to the given fraction when x is an appropriate value.

Thus, the correct option is D) \(2+\sqrt{6z} /4-6z\)

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Answer:

format is wrone

i will answer then

Step-by-step explanation:

Answer:

x = 21

y = 29

Step-by-step explanation:

Because of the parallel lines and the transversal, angles 3x - 3 and 60 are alternate interior angles that are congruent.

3x - 3 = 60

3x = 63

x = 21

Angles 4y + 4 and 60 are a linear pair, so they are supplementary, and their measures add to 180°.

4y + 4 + 60 = 180

4y + 64 = 180

4y = 116

y = 29

Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself

3-year treasury securities as calculated from the data will now have a rate of 3.70%.

Current interest rate is calculated as Current Interest Rate + Liquidity Premium.

Average interest for 3 Year = (3.45% + 3.95% +3.25%)/3   = 3.55

3 year security liquidity premium = 0.15%

3 year Treasury security's current rate is 3.55% +0.15%.

= 3.70%

Therefore, The current rate be on 3-year treasury securities is 3.70%.

Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR).

The compensation a lender or financial organisation receives for giving out money is called interest. The percentage of a stockholder's ownership in a corporation that is also referred to as interest.

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Answer : The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation :

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

First we have to calculate the area of parallelogram.

Area of parallelogram = Base × Height

Given:

Base = 10 in

Height = 3.5 in

Area of parallelogram = 10 in × 3.5 in

Area of parallelogram = 35 in²

Now we have to calculate the area of square.

Area of square = (Side)²

Given:

Side = 4 in

Area of square = (4 in)²

Area of square = 16 in²

Now we have to calculate the area of rectangle.

Area of rectangle = Length × Breadth

Given:

Length = 12.5 in

Breadth = 6 in

Area of rectangle = 12.5 in × 6 in

Area of rectangle = 75 in²

Now we have to calculate the composed figure.

Area of composed figure = Area of parallelogram + Area of square + Area of rectangle

Area of composed figure = 35 in² + 16 in² + 75 in²

Area of composed figure = 126 in²

Therefore, the area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

The area of the given figure is 126in²

The given figure is a composite figure composed of a parallelogram, a square and a rectangle.

Get the area of the square

Area = L²

Area of the square = 4² = 16in²

Area of the rectangle = 6 * 12.5

Area of the rectangle = 75in²

For the parallelogram:

Area of the parallelogram = Base * Height

Area of the parallelogram = 10 * 3.5

Area of the parallelogram  = 35 in²

Area of the figure = 75in² + 35in² + 16in²

Area of the figure = 126in²

Hence the area of the figure is 126in²

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Answer:

16.278

Step-by-step explanation:

L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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Answer:

Step-by-step explanation: i think it is a 1.50

There is no solution to the problem. We cannot determine how much each of them has.

Let's solve this problem using algebraic equations. Let x represent the amount Yi Hao has and y represent the amount Vani has. From the first statement, we can set up the equation y + 3 = 2(x - 3), because if Vani receives $3, she will have twice as much as Yi Hao. Simplifying this equation, we get y + 3 = 2x - 6.

From the second statement, we can set up the equation x + 5 = 2(y - 5), because if Yi Hao receives $5, he will have twice as much as Vani. Simplifying this equation, we get x + 5 = 2y - 10.

Now, we can solve these two equations simultaneously. By substituting the value of x from the first equation into the second equation, we get (2x - 9) + 5 = 2x - 10. Simplifying this equation, we get 2x - 4 = 2x - 10. This equation is not possible to solve because the equation simplifies to -4 = -10, which is not true. Therefore, there is no solution to this problem. We cannot determine how much each of them has.

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False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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The graph of y = |x| + 2 is a translation of the graph of y = |x| by 2 units left and 3 units down.

The graph of y = |x| is a V-shaped graph that intersects the x-axis at 0 and changes direction at 0. The graph of y = |x| + 2 is the same graph, but it is shifted 2 units left and 3 units down.

To see this, consider the point (0, 2) on the graph of y = |x| + 2. This point is 2 units to the left of the point (0, 0) on the graph of y = |x|. It is also 3 units below the point (0, 0) on the graph of y = |x|.

Therefore, the translation that takes y = |x+2|-1 to y = |x|+2 is 2 units left and 3 units down.

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Answer:

28 inches

Step-by-step explanation:

\(P = 2(l+w)\)

\(P=2(9+5)\)

\(P=2(14)\)

\(P=28\)

Answer:

Your answer would be C

Step-by-step explanation:

Hope I helped!! :)

81 must be the bare minimum acceptable sample size for a real-world computation.

The mean of a group of two or more integers is the straightforward mathematical average. The geometric mean approach, which uses the average of a set of products, and the arithmetic mean technique, which uses the sum of the series' values, are only two of the techniques available to calculate the mean for a given set of data.

Given: For the population of healthy people, the mean IQ score is μ =100 and the standard deviation is б =14.

Significance level : 1-0.99=.01

Critical value : zₐ/2=2.576

Margin of error : E=4

Standard deviation : б =14

The following equation determines the sample size:

n=( zₐ/2×б /E)²

n=(2.576×14/4)²

n=81.288≈81

Hence, the minimum reasonable sample size for a real world calculation must be 81.

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Answer:

1, 3, 5, 7 and 19

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 - 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

the first 4 terms are 1, 3, 5, 7

to find the 10th term , substitute n = 10 into the rule

a₁₀ = 2(20) - 1 = 20 - 1 = 19

10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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Answer: 3

Step-by-step explanation:

The index is the number that multiplies with the radicand. The radicand in this equation is 6 and 3 is the index.

Step-by-step explanation:

For X   from -2  to   10   is + 12 units ...1/6th of this is 2

                              add this to -2   to get   x = 0

For Y  from 3 to 3   is  0       so y = 0

(0,0)

find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Step-by-step explanation:

I guess you mean 1cm:100000cm

Hence, for every 1 cm on the map 100000 cm is covered on the land.

Take the distance on the map for 20 km be x

Hence, 1:100000:: x: 2000000 cm

In order to solve this ratio, you must multiply the extremes and the moderates (nears).

Hence, 2000000×1=100000×x [1km=100000 cm]

Hence, 2000000= 100000x

Hence, x=2000000/100000 cm

Hence, x=20 cm

Hence, 20 cm on the map

Answer: 90 degrees

Step-by-step explanation:

BD=CD

2(BD)= BC

2

The volume of the shape will be 50cm3.

It should be noted that the volume van be found by multiplying the area by the height. The volume will be:

= 10 × 5

= 50cm³

The standard deviation volume will be:

= 0.1 × 50

= 5cm

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