I need help on thisChange the equation into a equivalent equation written in the Slope-intercept form. x -7y + 5 =0

The given matrices are in the following form,

Reduced echelon form is Matrix A .

Only echelon form is Matrix B.

Neither echelon form nor reduced echelon form is Matrix C.

Matrix A is in reduced echelon form.

In matrix A,

Each row has a leading entry of 1

That is farther to the right than the leading entry of the row above it.

Additionally, all entries below a leading 1 are 0.

This meets the requirements for a matrix to be in reduced echelon form.

Matrix B is in echelon form only.

In matrix B,

Each row has a leading entry

That is farther to the right than the leading entry of the row above it.

However, not all entries below a leading entry are 0.

In the third row, there is a leading 1.

But the entries below it are not all 0.

Matrix is in echelon form only, but not in reduced echelon form.

Matrix C is in neither echelon form nor reduced echelon form.

In matrix C,

The first and third rows have leading entries.

But the second row does not.

In the first row, the leading 1 is not farther to the right than the leading entry of the row below it.

This matrix does not meet the requirements for echelon form or reduced echelon form.

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The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

We have,

The actual dimensions of the island are 3 1/2 feet by 1 3/4 feet.

We need to find the dimensions of the island on the blueprint, given that the scale of the blueprint is 1 inch = 2 feet.

To convert the actual dimensions to the dimensions on the blueprint, we need to use the scale factor of 1 inch = 2 feet.

We can set up a proportion to relate the actual dimensions to the dimensions on the blueprint:

Actual dimension/blueprint dimension = scale factor

Let x be the length of the island on the blueprint.

Then we can set up the following proportion:

3.5 feet / (1.75 feet)

= x inches / 7 inches

Simplifying,

2 = x / 7

Multiplying both sides by 7, we get:

x = 14 inches

The length of the island on the blueprint is 14 inches.

Similarly, we can find the width of the island on the blueprint:

1.75 feet / 3.5 feet

= y inches / 7 inches

Simplifying, we have:

0.5 = y / 7

Multiplying both sides by 7, we get:

y = 3.5 inches

The width of the island on the blueprint is 3.5 inches.

Thus,

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

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Answer:

y³+y²-30y=0

Step-by-step explanation:

(y-0)(y+6)(y-5)=0

y(y+6)(y-5)=0

y(y²-5y+6y-30)=0

y³+y²-30y=0

Answer:1.325

Step-by-step explanation:

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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The sales revenue necessary to generate net income of $100,000 is: $416,667.

Using this formula to find the sales revenue

Sales revenue = Sales revenue + (Sales revenue × Net income / Fixed costs)

Let plug in the formula

Sales revenue =  $250,000 + ($250,000 × $100,000 /$150,000)

Sales revenue = $250,000 + ($250,000 ×0.6666666)

Sales revenue = $250,000 + $166,666.65

Sales revenue = $416,666.65

Sales revenue = $416,667 (Approximately)

Therefore the correct option  is E.

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Answer:

Step-by-step explanation:

I dont know it can you help me

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

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

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Answer:

A) (1)/(7)

B) 33

Step-by-step explanation:

For (A), the sequence follows in 1 divided by numbers in a consecutive order, therefore after (1)/(6), the next term is (1)/(7)

For(B), the sequence follows in multiples of three but skips one in between

Example: Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36...

In the sequence, 6, 12, 18 and 24 are skipped, meaning that the next number to be skipped is 30, hence 33 is the next number in the sequence.

Because all the numbers in the sequence are odd numbers we can say that the sequence follows in odd consecutive numbers which are multiples of 3.

We conclude that after 7/4 years the value of the jet ski is $4,784

The value of the jet ski is given by the exponential equation:

f(t) = 8,500*(0.72)^t

Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:

f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55

If now we need to round it to the nearest dollar, then we round upwards to 4,784

In this way, we conclude that after 7/4 years the value of the jet ski is $4,784

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Answer:

 y = 4.87x + 2.28 Is the answer

Step-by-step explanation:

( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )

using a:

THE ULTIMATE LINEAR REGRESSION CACLAULTOR

yes it is the epic i get:

y = 4.87x + 2.28

Nothing more noting less ikr

y = 4.87x + 2.28 Being the answer

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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The equation of line that passes through (2,3) and (-2,5) is y  = (-1/2)x + 4.

The point-slope form is expressed as;

( y - y₁ ) = m( x - x₁ )

Where m is slope, x₁ and y₁ are the coordinates of the point .

Given the data in the question;

Point 1 (2,3)

Point 2 (-2,5)

First, determine the slope.

Slope m = (y₂ - y₁)/(x₂ - x₁)

Slope m = ( 5 - 3 ) / ( -2  - 2)

Slope m = 2 / -4

Slope m = -1/2

Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 3 ) = (-1/2)( x - 2 )

y - 3 = (-1/2)x - (-1/2)2

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

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

y  = (-1/2)x + 4

Therefore, the equation of the line is y = (-1/2)x + 4.

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let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}}~\hfill \stackrel{mixed}{4\frac{1}{4}} \implies \cfrac{4\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{17}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{3}-\cfrac{17}{4}\implies \cfrac{(4)23~~ - ~~(3)17}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{92~~ - ~~51}{12}\implies \cfrac{41}{12}\implies 3\frac{5}{12}\)

Check the picture below.

Answer:

\(r=4\)

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

\(y-(3)=-1(x-(-9))\)

Simplify:

\(y-3=-(x+9)\)

Distribute:

\(y-3=-x-9\)

Add 3 to both sides. So, our equation is:

\(y=-x-6\)

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

\(r=-(-10)-6\)

Evaluate for r. Distribute:

\(r=10-6\)

Subtract:

\(r=4\)

So, the value of r is 4.

And we're done!

The probability that a student who attends the first session also attends the second session is 1/3

We can approach this problem by using conditional probability.

Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.

Then we can use the formula for conditional probability:

P(S2 | S1) = P(S1 and S2) / P(S1)

We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.

So we can plug in these values and solve for P(S2 | S1):

P(S2 | S1) = 0.2 / 0.6

P(S2 | S1) = 1/3

Therefore, the probability that a student who attends is 1/3 or approximately 0.333.

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Answer:

1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!

The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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Answer:

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

Step-by-step explanation:

For this case we have the following trinomial:-

6x^2-9x-6

Rewriting we have:-

3(2x^2-3x-2)

Factoring we have:-

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

So this is ur answer.. mark me as brainliest if answer is comfortable

Answer:

not finding the correct slope of the parallel and perpendicular line, forgetting to change an equation from standard form to slope-intercept form before finding the slope, and many more common mistakes

Step-by-step explanation:

Answer:

KM is 52.55

Step-by-step explanation:

Given that JKLM is a quadrilateral with a diagonal drawn from J to L, we have;

Sides KL is parallel to side JM

Side JK is congruent to side LM

Therefore, sides JK and LM are parallel being the equal distances between two parallel lines

JL = 18, JK = 16, therefore, LM = 16, JM = 40 therefore, KL = 40 (equal distances between parallel lines JK and LM)

∠M = 45° ∴ ∠L = 180° - 45° = 135° (sum of adjacent interior angles of a parallelogram)

By cosine rule, we have;

KM² = LM² + KL² - 2×KL×LM×cos(∠M) = 16² + 40² - 2×16×40×cos(135°)

KM² = 2761.0967

KM = √(2761.0967) = 52.55 units.

Answer:

18

Step-by-step explanation:

Edg 2021

Answer:

The answer is 26

Step-by-step explanation:

\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)

\( \: \: \: \: \: \: \: \: \: \orange{ \boxed{ \boxed{ \huge{ \tt{{ \: 26 \: }}}}}}\)

Answer:

x = 5

Step-by-step explanation:

To find the value of x make sure to get it on one side

First subtract 3x from each side. This makes the equation now

3x + 2 = -8 + 25

Now see what 25 subtract by 8 is (17)

3x + 2 = 17

Next subtract 2 from both sides

3x = 15

Lastly, divide 15 by 3, making x equal 5

x = 5

The answer you are looking for is a² + 2ab + b².

Solution/Explanation:

Writing out the mathematical expression first

(a + b)²

(a + b) (a + b)

a × a = a²

a × b = ab

a × b = ab

b × b = b²

Adding all of these terms together

a² + ab + ab + b²

Combining like terms with "ab" and "ab," to get 2ab.

You will get a² + 2ab + b².

So, therefore, the final answer to this problem is a² + 2ab + b².

Hope that this has helped answer your question for you. Good day.