PLEASE THIS IS URGENT!!!!! Compare the intervals over which each function is increasing. Complete the sentences.

a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.

(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:

0² + y² + 6(0) - 4y = 12

y² - 4y = 12

y² - 4y - 12 = 0

To solve this quadratic equation, we can factor it:

(y - 6)(y + 2) = 0

Setting each factor to zero, we find two possible values for y:

y - 6 = 0 => y = 6

y + 2 = 0 => y = -2

Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).

(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:

x² + y² + 6x - 4y = 12

(x² + 6x) + (y² - 4y) = 12

(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25

Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.

Therefore, the radius of the circle is 5.

(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates into the formula, we have:

CP = √((2 - (-3))² + (5 - 2)²)

= √(5² + 3²)

= √(25 + 9)

= √34

Therefore, the length of CP is √34.

(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.

Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.

Therefore, the length of PQ is equal to 2 times the length of CP:

PQ = 2 * CP

= 2 * 5

= 10

Therefore, the length of PQ is 10.

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The value of variable x is 16.5 using the cross-multiplication method.

The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.

In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.

So, the value of x will be:

Use the cross-multiplication method as follows:

2x-7/4 = x+3/3

3(2x-7) = 4(x+3)

6x - 21 = 4x + 12

2x = 12 + 21

2x = 33

x = 33/2

x = 16.5

Therefore, the value of variable x is 16.5 using the cross-multiplication method.

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Correct question:
Obtain the value of x.

option third "The area of parallelogram ABCD is equal to the area of parallelogram EFGH" is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The area of the parallelogram is:

A = b×h

Here b is the base length and h is the height

In ABCD parallelogram:

A = (3)×(3)

A = 9 square units

EFGH parallelogram:

a = (3)×(3)

A = 9  square units

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

Thus, option third "The area of parallelogram ABCD is equal to the area of parallelogram EFGH" is correct.

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Answer:

36.5

Step-by-step explanation:

Answer:

292 divided by 8 is 36.5

However, 8 divided by 292  is 0.02739726027

Step-by-step explanation:

We know this by dividing, plus if you want to double check answers, go ogle is always there for you!

For an increase of 6% the multiplier is 1.06

If we have a value A, and we want to increase it by a percentage X, the formula that we need to use to find the new value is:

new value = A*(1 + X/100%)

Where the multiplier is (1 + X/100%).

Here the percentage is 6%, then the multiplier for this case will be:

(1 + 6%/100%) = (1 + 0.06) = 1.06

The new value would be:

new value = A*1.06

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Answer:

x = 2

Step-by-step explanation:

We are given the equation 3 - 4x - 2 = 2x - 11;

\(3 - 4x - 2 = 2x - 11,\\3 - 2 = 6x - 11,\\1 = 6x - 11,\\12 = 6x,\\\\x = 2\\Conclusion, x = 2\)

If you want this explanation in a " statement reasoning " format refer to the attachment below;

The best predicted value given that a person has an IQ of 91 is 94.03.

Here, we are given that-

sample size n = 20

sample mean for the independent value x = 100.39

sample mean for the dependent value y = 103.6

coefficient of correlation r = 0.925

The general expression for representing a linear model is given by-

y = β₀ + β₁x

where β₀ is the intercept and β₁ is the slope

For the above given case, the linear model will be given as-

y = -3.34 + 1.07x

where -3.34 is the intercept and 1.07 the slope.

To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-

y = -3.34 + 1.07(91)

y = 94.03

Thus, the best predicted value given that a person has an IQ of 91 is 94.03.

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Answer:

Step-by-step explanation:

Use this formula:

y - y1 = m ( x - x1 )

We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5

Put these values into the formula above and you get:

y - y1 = m ( x - x1 )

y - 5 = -3 ( x - 12 )

y - 5 = -3x + 36

y = -3x + 36 + 5

y = -3x + 41

Answer:

exact form: 1/2

decimal form: 0.5

Step-by-step explanation:

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5  = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

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Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

Answer:

9x-18=y

Step-by-step explanation:

by switching the places of x and y and solving for y

The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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The rank of the standard matrix for T is 2, which is determined by the number of linearly independent columns in the matrix.

To find the rank of the standard matrix for the linear transformation T: R^5 → R^3, we need to determine the number of linearly independent columns in the matrix.

The standard matrix for T can be obtained by applying the transformation T to the standard basis vectors of R^5.

The standard basis vectors for R^5 are:

e1 = (1, 0, 0, 0, 0),

e2 = (0, 1, 0, 0, 0),

e3 = (0, 0, 1, 0, 0),

e4 = (0, 0, 0, 1, 0),

e5 = (0, 0, 0, 0, 1).

Applying the transformation T to these vectors, we get:

T(e1) = (1 + 0, 0 + 0 + 0, 0 + 0) = (1, 0, 0),

T(e2) = (0 + 1, 1 + 0 + 0, 0 + 0) = (1, 1, 0),

T(e3) = (0 + 0, 0 + 1 + 0, 0 + 0) = (0, 1, 0),

T(e4) = (0 + 0, 0 + 0 + 1, 1 + 0) = (0, 1, 1),

T(e5) = (0 + 0, 0 + 0 + 0, 0 + 1) = (0, 0, 1).

The standard matrix for T is then:

[1 0 0 0 0]

[1 1 0 1 0]

[0 1 0 1 1]

To find the rank of this matrix, we can perform row reduction or use the concept of linearly independent columns. By observing the columns, we see that the second column is a linear combination of the first and fourth columns. Hence, the rank of the matrix is 2.

Therefore, the rank of the standard matrix for T is 2.

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COMPLETE QUESTION - Let T: R5-+ R3 be the linear transformation defined by the formula T(x1, x2, x3, x4, x5) = (x1 + x2, x2 + x3 + x4, x4 + x5). (a) Find the rank of the standard matrix for T.

The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is π/24 units cube.

option D.

The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is calculated as follows;

y = 2x²

x² = y/2

x = √(y/2) ----- (1)

x = y -------- (2)

Solve (1) and (2) to obtain the limit of the integration.

y =  √(y/2)

y² = y/2

y = 1/2 or 0

The volume obtained by the rotation is calculated as follows;

V = 2π∫(R² - r²)

V = 2π ∫[(√(y/2)² - (y)² ] dy

V = 2π ∫ [ y/2  - y² ] dy

V = 2π [ y²/4 - y³/3 ]

Substitute the limit of the integration as follows;

y = 1/2 to 0

V = 2π [ 1/16  -  1/24 ]

V = 2π [1/48]

V = π/24 units cube

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Answer:

y = 28

Step-by-step explanation:

Answer:

The answer is explained below

Step-by-step explanation:

Let x be the price of fertilizer A, y be the price of fertilizer B, and z be the price of fertilizer C

The first combination  costs $384 and consists of 6 liters of fertilizer A, 5 liters of fertilizer B, and 3 liters of fertilizer C. The first combination is given by the equation:

6X + 5Y + 3Z = 384

The second combination consists of 10 liters of A, 2 liters of B, and 6 liters of C, and it costs $516. The second combination is given by the equation:

10X + 2Y + 6Z = 516

The last combination consists of 4 liters of A, 8 liters of B, and 2 liters of C,  with a cost of $368. The last combination is given by the equation:

4X + 8Y + 2Z = 368

In Matrix form it can be represented as:

\(\left[\begin{array}{ccc}6&5&3\\10&2&6\\4&8&2\end{array}\right]\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{c}384\\516\\368\end{array}\right]\)

\(\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{ccc}6&5&3\\10&2&6\\4&8&2\end{array}\right]^{-1}\left[\begin{array}{c}384\\516\\368\end{array}\right]\\\\\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{ccc}1.5714&-0.5&-0.857\\-0.142&0&0.2142\\-2.571&1&1.3571\end{array}\right]\left[\begin{array}{c}384\\516\\368\end{array}\right]\\\\\left[\begin{array}{c}X\\Y\\Z\end{array}\right]=\left[\begin{array}{c}30\\24\\28\end{array}\right]\)

Therefore:

X = $30, Y = $24, Z = $28

The price of fertilizer A = $30 per liter, The price of fertilizer B = $24 per liter and The price of fertilizer c = $28 per liter

Answer:

X = $30, Y = $24, Z = $28

Step-by-step explanation:

PLATO <3

To find the value of (g∘g)(−2) for the function g(x) = x^2 - 2x - 9, we need to evaluate the composition of g with itself at x = -2. This involves substituting the output of g(-2) into the function g.

First, let's find the value of g(-2) by substituting -2 into the function g(x):

g(-2) = (-2)^2 - 2(-2) - 9

      = 4 + 4 - 9

      = -1

Now, we can substitute this value back into the function g(x) to evaluate (g∘g)(−2):

(g∘g)(−2) = g(g(-2))

          = g(-1)

Substituting -1 into the function g(x):

g(-1) = (-1)^2 - 2(-1) - 9

      = 1 + 2 - 9

      = -6

Therefore, the value of (g∘g)(−2) for the given function g(x) = x^2 - 2x - 9 is -6.

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Answer:

Yes

Step-by-step explanation:

I feel like its yes because x and y share the numbers 1-4

Answer:

Whats BrainList

Step-by-step explanation:

Answer:

\(3x^2 + 15x - 252 = 0\)

Step-by-step explanation:

The volume of the prism is 252 cubic centimeters.

The volume of a rectangular prism is gotten by the formula:

V = l * w * h

where l = length

w = width

h = height

The height of the prism is 3 cm.

Let x be the width of the prism.

The length of the prism is 5 cm longer than the width.That is:

l = 5 + x

The volume of the prism is therefore:

V = (5 + x) * x * 3

\(=> 252 = (5x + x^2) * 3\\\\252 = 15x + 3x^2\\\\=> 3x^2 + 15x - 252 = 0\)

This is the equation that models the volume of the tray in terms of x.

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x^2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Answer:

The inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t)

We start by applying partial fraction decomposition to the given expression:

1/(s-1)^2 (s+1) = A/(s-1) + B/(s-1)^2 + C/(s+1)

Multiplying both sides by the denominator, we get:

1 = A(s-1)(s+1) + B(s+1) + C(s-1)^2

Substituting s=1 gives:

1 = 4C

So, C=1/4.

Substituting s=-1 gives:

1 = -4A

So, A=-1/4.

Substituting s=1 and simplifying gives:

B = 1/2.

Thus, we have:

1/(s-1)^2 (s+1) = (-1/4)/(s-1) + (1/2)/(s-1)^2 + (1/4)/(s+1)

Taking the inverse Laplace transform of each term using the table of Laplace transforms, we get:

L^(-1){(-1/4)/(s-1)} = -e^t

L^(-1){(1/2)/(s-1)^2} = te^t

L^(-1){(1/4)/(s+1)} = (1/2)e^(-t)

Hence, the inverse Laplace transform of 1/(s-1)^2 (s+1) is e^t - te^t + e^(-t).

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This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

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The circumference of a circle with a radius of 35 inches in terms of and to the nearest tenth of an inch is 219.8 inches.

The correct answer choice is option A.

Circumference of a circle, c = 2πr

Where,

radius, r = 35 inches

c = 2πr

= 2 × 3.14 × 35

= 219.8 inches

In conclusion, 219.8 inches is the circumference of the circle.

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the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

Using the formula

Rate of change = Slope =  [y₂ - y₁] /  [x₂ - x₁]

                                       =  [8 - 3 / [6 - 2]

                                       = 5 / 4

Thus, the rate of change of a linear function = 5/4

Answer:

Read the explanation

Step-by-step explanation:

Explanation:

When multiplying and dividing more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative. This problem has just one negative sign

Answer:

The answer should be 5

Step-by-step explanation: cause 3x5=15 which leaves 9 more shots that are equal to 2 2x9= 18 and 18+15= 33 which means the answer is 5

Answer:

B.) 5

Step-by-step explanation:

Edge2021

Answer:

x"2^^1/y

I took this test and got question 4 correct

:))))