What is the slope and y-intercept of the linear equation y = 5x - 4

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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According to the table, the rate of change of the function is of -3.

The rate of change of a function is given by the change in the output y divided by the change in the input x.

In this problem, when x changes by 3, y changes by -9, hence:

\(m = \frac{-9}{3} = -3\)

The rate of change of the function is of -3.

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Answer:

C

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

Which one?

Step-by-step explanation:

There is no diagram tho

Answer:

V=1008π units³

Step-by-step explanation:

don’t know what cylendier your talking about but if its the picture below then that’s the answer

Answer: dont you have the numbers on the side

Step-by-step explanation:

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Therefore , the solution of the given problem of function comes out to be  G'(t) = (3t² + 18t)/(2√(t³+9t²+16)).

Each subject will have a range of questions on the final test, including questions about both real and imagined locations as well as questions on the establishment of numerical factors. a diagram illustrating the connections between various components that work together to produce the same outcome.

Here,

To determine the derivative of G(t), we can apply the power rule and chain rule:

=>  G(t) = √(t³+9t²+16)

=>  G'(t) = [1/(2√(t³+9t²+16))] * d/dt (t³+9t²+16)

We may determine the derivative of t3+9t2+16 with respect to t using the power rule:

=>  d/dt (t³+9t²+16) = 3t² + 18t

We thus have:

=>  G'(t) = [1/(2√(t³+9t²+16))] * (3t² + 18t)

Further simplification results in:

=>  G'(t) = (3t² + 18t)/(2√(t³+9t²+16))

The derivative of G(t) is thus:

=> G'(t) = (3t² + 18t)/(2√(t³+9t²+16))

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The values of x after solving the quadratic equation x²+14x-1 , using completing the square method is -√50-7 or +√50-7.

A Quadratic equations is second-degree algebraic expressions and is of the form ax² + bx + c = 0.

Uisng the method of completing the square to solve the equation below, we following the steps.

Equation ⇒ x²+14x-1 = 0

Step 1:

Take the constant to the other side of the equation

Step 2:

Find half the coefficient of x, square, and  add it to both side of the equation.

There,

Step 3:

Express the trinomial on the left side as a square of binomial

Step 4:

Take the square root of both side.

Step 5:

Make x the subject of the equation by moving 7 to the other side of the equation

Step 6:

Seperate the expression for each value of x

Hence, the value of x is  -√50-7 or +√50-7.

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(C)

Step-by-step explanation:

We are going to use the following conversions for this problem:

1 km = 1000 m

1 hr = 60 min

The key is to multiply the given quantity with factors such that the unwanted units cancel out, leaving only the ones we need. In this case, we need meters and minutes. The set up goes like this:

\(8\dfrac{\text{km}}{\text{hr}}×\dfrac{1000\:\text{m}}{1\:\text{km}}×\dfrac{1\:\text{hr}}{60\:\text{min}}\)

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

\(x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9\)

Answer:

x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9

Step-by-step explanation:

Hiya! The answer is 5.

I hope I was of assistance! #SpreadTheLove <3

The value of a is 5/9 if  y = a(x - 2)(x + 6) and (3,5) is a point on the graph.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

A quadratic relation has the equation y= a(x - s )(x – t).

y = a(x - 2)(x + 6) and (3,5) is a point on the graph

Plug x = 3 and y = 5

5 = a(3 - 2)(3 + 6)

a = 5/9

The parabola has zeros of 4 and -2 and a y-intercept of 1

y= a(x - s )(x – t)

0= a(4 - s )(4 – t)

0= a(-2 - s )(-2 – t)

1= a(0 - s )(0 – t)

No solution.

Similarly, it can find the equation of the parabola in the remaining part,

Thus, the value of a is 5/9 if  y = a(x - 2)(x + 6) and (3,5) is a point on the graph.

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Step-by-step explanation:

Infinity means that it has no end to something

And undefined means something can't be defined

Answer:

Undefined means, it is impossible to solve.

Infinity means, it is without bound.

The equation of the line perpendicular to the tangent line is y = -x + 5.

Since the given tangent line has a slope of 1, the line perpendicular to it will have a slope of -1 (the negative reciprocal). The point (2, 3) is on the line, so we can use the point-slope form of a line to write the equation:

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

y - 3 = -x + 2

y = -x + 5

Therefore, the equation of the line perpendicular to the tangent line is y = -x + 5.

To find the point where the tangent line touches Circle N, we need to find the intersection point of the tangent line and Circle N. Since the tangent line has a slope of 1, we know that the line passing through the center of the circle and the point of tangency (point D) will be perpendicular to the tangent line. Let (x,y) be the coordinates of point D. Then the equation of the line passing through (x,y) and (2,3) is:

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

y - 3 = -x + 2

y = -x + 5

We can substitute this equation into the equation of Circle N to get:

(x - 2)^2 + (y - 3)^2 = r^2

(x - 2)^2 + (-x + 2)^2 = r^2

2x^2 - 8x + 8 + 4 = r^2

2x^2 - 8x + 12 = r^2

Now we can substitute the equation of the line into the above equation to eliminate y:

2x^2 - 8x + 12 = (y - 3)^2

2x^2 - 8x + 12 = (-x + 2)^2

2x^2 - 8x + 12 = x^2 - 4x + 4

x^2 - 4x - 8 = 0

Using the quadratic formula, we find that:

x = 2 ± 2√3

Since the circle is tangent to the line y = x + 7, we know that the y-coordinate of point D must be equal to x + 7. Therefore, the coordinates of point D are:

(2 + 2√3, 9 + 2√3) or (2 - 2√3, 5 - 2√3)

The distance from the center of Circle N to point D is the radius of the circle. Using the coordinates of point D found above, we can calculate the distance as follows:

r = sqrt((2 + 2√3 - 2)^2 + (9 + 2√3 - 3)^2)

r = sqrt(16 + 8√3)

r = 4√3 + 4

Therefore, the radius of Circle N is 4√3 + 4.

Using the center and radius of Circle N, we can write the equation of the circle as:

(x - 2)^2 + (y - 3)^2 = (4√3 + 4)^2

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Answer:

Total no. of students =175

percent of students athletes who attend a preseason meeting =84

No. of students who attend the meeting

= 84% of 175

=147

The solution that makes both expressions true is x = 8.55556 and y = 10.31746.

To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.

We can start by using the first equation to solve for x:

2x + 7x = 77

Combining like terms:

9x = 77

Dividing both sides by 9:

x = 8.55556 (rounded to six decimal places)

Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:

5x + 7y = 115

Substituting x = 8.55556:

5(8.55556) + 7y = 115

Simplifying:

42.7778 + 7y = 115

Subtracting 42.7778 from both sides:

7y = 72.2222

Dividing both sides by 7:

y = 10.31746 (rounded to six decimal places)

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x = -1.5

y = 8.5

hope it helps....!!!

\(4x-4y = 8~~~....(i)\\\\y+4x = 2.5~~~...(ii)\\\\(i)-(ii)\\\\~~~~4x-4y-y-4x = 8-2.5\\\\\implies -5y = 5.5\\\\\implies y = -\dfrac{5.5}5\\\\\implies y= -1.1\\\\\text{Substitute y= -1.1 in eq (i):}\\ \\~~~~4x-4(-1.1) = 8\\\\\implies 4x +4.4. =8\\ \\\implies 4x = 8-4.4\\\\\implies 4x = 3.6\\\\\implies x = \dfrac{3.6}4\\\\\implies x =0.9\\ \\\text{Hence,}~~ (x,y) = (0.9, ~-1.1)\)

Answer:

Id assume its 5 23/50..correct me if I'm wrong its been quite some time since I've dealed with decimals to fractions.

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Do you want to know how to write the decimal number 5.46 as a fraction?

Here we will show you step-by-step how to convert 5.46 so you can write it as a fraction.

You can take any number, such as 5.46, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

5.46 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.46, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

546 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 546 and 100 is 2. When we divide the numerator and denominator by 2, we get the following:

273 / 50

Therefore, 5.46 as a fractio

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

m perpendicular 1/3

Step-by-step explanation:

Have a nice evening.

Answer:

mechnical energy

Step-by-step explanation:

Average rate of change between interval 1 to 4.

Answer:

75

Step-by-step explanation:

Answer:

75 km

Step-by-step explanation:

Use the Pythagorean Theorem

c² = a² + b²

c² =  = 72² + 21²

c² = 5,184 + 441

c² = 5,625

Take the square root of both sides

c = 75 km

First find volume of both the cylinders:

Cylinder Volume Formula: πr²h

(r => radius, h => height)

*Container A:

r = 8

h = 15

πr²h = π(8)²(15) = 960π³

*Container B:

r = 11

h = 13

πr²h = π(11)²(13) = 1573π³

What % of container B is empty after the pumping is complete?

The water pumped from A to B, and we want to know remaining that is empty: A < B: 1573π³- 960π³ = 613π³. Now to find %:

\(\frac{613\pi^{3} }{1573\pi ^{3}} * 100 = 0.39 * 100 =\) 39% or 40% (Nearest Tenth)

Hope it helps!

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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