The equations x minus 3 y = negative 3, 2 x y = 2, x 3 y = 3, and 2 x minus y = negative 2 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2) and (negative 1, 0). Blue line goes through (0, 2) and (1, 0). Pink line goes through (negative 1. 5, 1. 5), and (1. 5, 0. 5). Orange line goes through (negative 1. 5, 0. 5) and (1. 5, 1. 5). Which system of equations has a solution of approximately (–0. 4, 1. 1)? x 3 y = 3 and 2 x minus y = negative 2 x minus 3 y = negative 3 and 2 x y = 2 x minus 3 y = negative 3 and 2 x minus y = negative 2 x 3 y = 3 and 2 x y =2.

According to the Transformation rules for functions:

1) When a function f(x) is shifted left "k" units:

2) When it is shifted right "k" units:

3) When it is shifted up "k" units:

4) When it is shifted down "k" units:

Observe in the graph attached that the vertex of the following parent function is located at the origin:

Knowing that the function g(x) is:

You can determine that the function g(x) is the function f(x) but shifted left 1 unit and shifted up 3 units.

The SDI deduction of her groo earning is

$15.02. Option 3 is the right answer

To calculate the SDI (State Disability Insurance) deduction, we need to first determine the taxable income for the next payday of July 15. We know that the SDI rate is 1% on the first $31,800 of income. Therefore, the maximum SDI deduction for the year is $318.

Janet's gross earnings through June 30 were $30,298, which means she has earned $1,502 less than the taxable income limit of $31,800. Therefore, we can subtract $30,298 from $31,800 to get the amount of taxable income for the next payday, which is $1,502.

To calculate the SDI deduction, we multiply the taxable income by the SDI rate:

$1,502 x 0.01 = $15.02

Therefore, the SDI deduction for Janet's next payday of July 15 is $15.02.

The answer is $15.02.

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The pond will lose about 17.89 gallons of water in 17 hours.

Given that the leaking pond loses 20 gallons of water in 19 hours. To find out how many gallons of water it will lose in 17 hours we have to use the unitary method.

We will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here's how to solve the problem.Let the number of gallons the pond loses in 17 hours be x gallons.Then, the ratio of gallons of water lost to hours taken is 20:19Therefore, 20 gallons of water are lost in 19 hoursi.e., (20/19) gallons of water are lost in 1 hourThen, the number of gallons of water lost in 17 hours will be:More than 100 words17 hours is less than 19 hours.

Therefore, the number of gallons of water lost in 17 hours will be less than 20 gallons. So, to find out how many gallons of water it will lose in 17 hours, we will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here, we know that 20 gallons of water are lost in 19 hours, thus the ratio of gallons of water lost to hours taken is 20:19.

Therefore, (20/19) gallons of water are lost in 1 hour.

Thus, the number of gallons of water lost in 17 hours will be:17 × (20/19) = 17.89 gallons.

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Answer:

0.26x

Step-by-step explanation:

If x is decreased by 74% then new value of x

= x - 74% of x

74% as decimal = 74/100 = 0.74

New value of x
= x - 0.74x

=x(1 - 0.74)

=0.26x

The exact value of A in the general solution is 0 and B is 0

From the question, we have the following parameters that can be used in our computation:

\(y = Ax + Cx^B\)

The differential equation is given as

dx - 4xdy = 0

Divide through the equation by dx

So, we have

1 - 4xdy/dx = 0

This gives

dy/dx = 1/(4x)

When \(y = Ax + Cx^B\) is differentiated, we have

\(\frac{dy}{dx} = A + BCx^{B-1}\)

So, we have

\(A + BCx^{B-1} = \frac{1}{4x}\)

Rewrite as

\(A + BCx^{B-1} = \frac{1}{4}x^{-1}\)

By comparing both sides of the equation, we have

A = 0

B - 1 = -1

When solved for A and B, we have

A = 0 and B = 0

Hence, the value of A in the general solution is 0 and B is 0

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Answer:

A= 10x^2 + 7/ 2 xy − 3y^2

Step-by-step explanation:

( 1/ 2) (5x−2y))(4x+3y)

= ( 1/ 2(5x−2y)) (4x+3y)

= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)

= 10x^2 − 4xy +  15/ 2 xy − 3y^2

= 10x^2 + 7/ 2 xy − 3y^2

Answer:  y = (1/3)x - 5

This is the same as writing \(y = \frac{1}{3}x-5\)

======================================================

Explanation:

Assume we have a linear pattern matching the form y = mx+b.

The first row has x = 12 lead to y = -1

The second row has x = 3 lead to y = -4

This produces the two points (12,-1) and (3,-4)

Let's find the slope through those points.

m = (y2-y1)/(x2-x1)

m = (-4-(-1))/(3-12)

m = (-4+1)/(3-12)

m = -3/(-9)

m = 1/3

The slope is 1/3.

The y intercept is b = -5 since x = 0 leads to y = -5

We go from y = mx+b to y = (1/3)x - 5

--------------------------

To verify we have the correct equation, plug in each left side value as x values.

Let's try x = 12

y = (1/3)x - 5

y = (1/3)*12 - 5

y = 4 - 5

y = -1

This shows that the input x = 12 maps to the output y = -1

i.e.  12 ↦ −1 is the case here.

Repeat for x = 3

y = (1/3)x - 5

y = (1/3)*3 - 5

y = 1 - 5

y = -4

We can see that 3 ↦ −4 occurs.

I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.

Answer:

3x^2-9y+z+x is the answer.

Step-by-step explanation:

steps to follow:

1:write the question nicely again.

2:collect the like and unlike terms.

3:add subtract them according to their like and unlike terms.

Answer:

Step-by-step explanation:

80%

Answer:

-------------------------------------

Solve the following equation:

Answer:

dl5fgtrrfhrruf ofender fkufgj jjgglr

Step-by-step explanation:

a) Area=144m²

side²= 144

side=12m

b) perimeter=32m

4×side=32

side=32/4

side=8m

Answer:

"subset"

Step-by-step explanation:

The "set within a set" is called a "subset."

The smaller cannonball weighs approximately 89% less than the larger cannonball.

Step 1 - Identify the Formula for the Bigger Spherical Cannonball.

Recall that the volume of a  sphere is given as V = (4/3)π(db/2)³........1

Expanding the bracket, we have V = (4/3)πdb³/8

Divide all though by 8 and the result is

⇒ Vb = (1/6)πdb³..........2

Recall that we know that mass is given as Density multiplied by Volume; that is

m = DV

Therefore,

m = (1/6)πdb³*463..........3

Step 2 - Let us assume that the mass of the bigger sphere is 1 pound. So we set equation 3 to 1.

1 = (1/6)πdb³*463.

Work to make db the subject of the formula; and we have

⇒ db³ = 6/463*π

⇒ db = ∛6/(463*π)

⇒ db = 0.160 ft.

From the question, we know that the diameter of the smaller sphere is 1 inch less than the diameter of the larger cannonball.

Hence,

1 inch = 0.0833 foot

⇒ ds = db - 0.0833

⇒ ds = 0.160 - 0.0833

⇒ ds = 0.077 ft

Step 3  - to find the volume of the smaller sphere we state:

Vs = (4/3)π(ds/2)³

⇒ Vs = (4/3)π(0.077/2)³

⇒ Vs = 0.000239

Recall that mass of a sphere is m = DV. Therefore, the  mass of the smaller cannonball is:

m = 463*0.000239

⇒ m = 0.1106 lb

Step 4 - find the percentage difference in the mass of both spheres:

Percentage Difference in Mass of both sphere = (1 - 0.1106/1)*100

Hence the difference = 88.94% which is approximately 89%.

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The required Domain and range are Domain = {x | 20 ≤ x ≤ 30} and Range = {c | 271.95 ≤ c ≤ 406.95}.

The domain is the set of all possible values for the independent variable, x, in the function. In this case, the domain is the set of all possible numbers of packages of colored pencils that can be purchased by the Math Department. We know that the department purchased at least 20 and no more than 30 packages, so the domain is:

Domain = {x | 20 ≤ x ≤ 30}

The range is the set of all possible values for the dependent variable, c, in the function. In this case, the range is the set of all possible costs for the packages of colored pencils that the Math Department purchased. We can find the range by plugging in the values of x that are in the domain and seeing what values of c we get:

When x = 20: c = 12.95(20) + 7.95 = 271.95

When x = 30: c = 12.95(30) + 7.95 = 406.95

So the range is:

Range = {c | 271.95 ≤ c ≤ 406.95}

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

Outlier: Value that is extremely to the right or the left due to an external cause

For math: 1 is the outlier

Answer:

I am not 100% but I believe they are 1 and 6 if there are 2 answer options

Step-by-step explanation:

Answer:

The magnitude of the upward acceleration on the object is 0.2 m/s²

Step-by-step explanation:

The given parameters are;

The net upward force applied to the object, F = 2 Newtons

The mass of the object, m = 10-kg

According to Newton's second law of motion, Force, F, is directly proportional to acceleration, a, of the object to which the force is applied, and the direction of the acceleration is in the direction of the applied force, therefore, we have;

Force, F = Mass, m × Acceleration, a

From which we have;

Acceleration, a = F/m which gives;

a = 2-N /10-kg = 0.2 m/s²

The magnitude of the upward acceleration on the object, a = 0.2 m/s².

Answer:

42 cm A

Step-by-step explanation:

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

$188

Step-by-step explanation:

23.5x$8.00=$188.

Hope this helps. (:

Could I please have BRAINLIEST.

Answer:

Seth earned $188 last week

Step-by-step explanation:

23.5 hours worked last week x $8.00 per hour = $188 dollars made in 23.5 hours

Mrs. Pruitt's conclusion does not sound right because there were 96 soda cans in total.

Word problem is a topic in mathematics which deals with expressing a given statement in a mathematical form so as to determine the value of the unknown.

Analyzing the given statement in the question, we have;

Mrs. Pruitt bought 4 cases of soda which consists of 24 cans each.

Thus total cans of soda bought = 4 * 24

                                                     = 96

But after the party, 11 cans were left.

The number of soda cans used for the party = 96 - 11

                                                                    = 85

The total number of cans is therefore not 157. Thus her conclusion does not sound right.

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The original price of the bracelet, before tax $0.68

From the question, we have the following parameters that can be used in our computation:

Amount = $0.72

Sales tax = 6%

Using the above as a guide, we have the following:

Amount = Original amount * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

0.72 = Original amount * (1.06)

So, we have

Original amount = 0.68

Hence, the original amount = 0.68

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Answer: c. a = 2y and b = -3

Step-by-step explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

\(\cos t=\frac{1}{\sec t}\)

So, the equation will be

\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

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Using the concepts of Probability, we got 0.2743 is the probability that he/she plays the clarinet but not the flute.

Conditional probability is called as the possibility of an event or outcome happening, based on  existence of a previous event or outcome. It is calculated by the multiplying the probability of the preceding event by the renewed probability of  succeeding, or conditional, event.

We need to find those persons  who can play clarinet but not the flute,

So, we first subtract those person from the clarinets list who are able to paly both clarinet and flute.

Suppose, Number of person who can play clarinet=172

Number of person who are able to play both clarinet and flute=47

Therefore, number of person who are only able to play clarinet but not flute=172-47=125

Probability(P)= \(\frac{Number of perople who are only able to play clarinet}{Total number of people}\)

              =>P=( 125 / 350)

               =>P=0.2743.

Hence, if a single person is selected at random,0.2743 is the probability that he/she is able to play clarinet but not flute.

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After solving the equation, Mrs. Storey drove 700 miles, and Mr. Storey drove twice as much, or 2 * 700 = 1400 miles.

Let's use algebra to solve this problem. We know that Mr. Storey drove 2 times as many miles as Mrs. Storey, so:

y = 2x

We also know that the total distance they drove was 2,100 miles, so:

x + y = 2,100

Substituting the first equation into the second equation, we get:

x + 2x = 2,100

Combining like terms, we get:

3x = 2,100

Dividing both sides by 3, we get:

x = 700

So Mrs. Storey drove 700 miles, and Mr. Storey drove twice as much, or 2 * 700 = 1400 miles.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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