What are the x-intercepts of the graph of y = 6x2 + 7x – 5?

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point \((x_1,y_1)\) with slope m, then the point slope form of the line is

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

(2, 4) and (3, 3) are on the line. So, slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{3-4}{3-2}\)

\(m=\dfrac{-1}{1}\)

\(m=-1\)

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

\(y-4=-1(x-2)\)

Therefore, an equation of the line in point slope form is \(y-4=-1(x-2)\).

Answer:

sorry ima need to use your page

Step-by-step explanation:

Answer:

sorry ima need to use ur page

Step-by-step explanation:

the partial derivatives ∂z/∂x and ∂z/∂y, as implicit functions of x and y by the given equation, are ∂z/∂x = -2xy - 3x^2z / (3z^2 + 6xy) and ∂z/∂y = -2yx - 3y^2z / (3z^2 + 6xy), respectively.

To find the partial derivatives ∂z/∂x and ∂z/∂y as functions of x and y, we use implicit differentiation. Differentiating the equation x^3 + y^3 + z^3 + 6xyz = 1 with respect to x, we obtain:

\(3x^2 + 6yz + 3z^2(dz/dx) + 6xy(dz/dx) = 0.\)

Rearranging terms, we have:

\((3z^2 + 6xy) (dz/dx) = -3x^2 - 6yz.\)

Dividing both sides by (3z^2 + 6xy), we find:

dz/dx = (-3x^2 - 6yz) / (3z^2 + 6xy).

Similarly, differentiating the equation with respect to y, we get:

(3z^2 + 6xy) (dz/dy) = -3y^2 - 6xz,which gives us:

dz/dy = (-3y^2 - 6xz) / (3z^2 + 6xy).

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a) The possible outcomes are:

⇒ black, black, black, black, black, green, green, green, red.

b) The probability of getting a green pebble is,

⇒ 1/3.

c) The probability of not getting a black pebble is,

⇒ 4/9.

d) The probability of getting a red pebble is,

⇒ 1/9.

Given that;

A bag contains 9 pebbles which are equal in size and shape. 5 are black 3 are green 1 is red A pebble is taken out random.

Hence,

a) The possible outcomes are:

⇒ black, black, black, black, black, green, green, green, red.

b) The probability of getting a green pebble is,

⇒ 3/9

⇒ 1/3.

c) The probability of not getting a black pebble is,

⇒ (3+1)/9

⇒ 4/9.

This is because there are 3 green pebbles and 1 red pebble, which are not black.

d) The probability of getting a red pebble is,

⇒ 1/9.

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The answer choice which is incorrect about the "rating of perceived exertion (RPE)" is; The rating applies to the feeling of your whole body.

Rate of perceived exertion (RPE) is simply a measure of the level of exertion a person feels during physical activity. This measure is a useful tool that helps people manage the intensity of their physical exercise.

The Borg Rating of Perceived Exertion Scale is used when reporting RPE.

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Answer:

1 because it is going by 3's

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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The function v(t) is a composite function of the stock functions f(t) and g(t)

The functions are given as:

f(t) = 12(1.20)^t

g(t) = -4.5t

When both functions are added, we have:

v(t) = 12(1.20)^t - 4.5t

See attachment for the graph of the function v(t)

This is the point where t = 0

From the graph of the function, the initial value is 12

This is the point where t = 8

From the graph of the function, the final value at the end of the day is 15.598

From the graph, we can see that the stock value decreases to a minimum and then increases.

From the graph, we can see that the stock value is at t = 3.955

This means that the stock is at the lowest after about 4 hours

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The type of transformation shown using the image is (d) vertical translation

The given parameter is represented on the image

From the image, we can see that:

The shape ABCD is directly above the shape A'B'C'D'

Also, both shapes have the same orientation and they have the same size

The statement that the shape ABCD is directly above the shape A'B'C'D' means that the transformation is a vertical translation

Hence, the type of transformation shown using the image is (d) vertical translation

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Answer:

8762

Step-by-step explanation:

hope its correct and have a nice Day ❤

Answer:

Step-by-step explanation:

Equation of Red Line

Equation of Blue Line

Answer: 77 minutes

Step-by-step explanation:

Answer:

y=x, x axis,  y=x, y axis

Step-by-step explanation:

If a point A(x, y) is reflected along the y = x line, the new coordinates would be A'(y, x)

If a point A(x, y) is reflected across the x axis, the new coordinates would be A'(x, -y)

If a point A(x, y) is reflected along the y axis, the new coordinates would be A'(-x, y)

Firstly reflect Trapezoid ABCD along the y = x line to give:

A (-5, 1) ⇒ A'(1, -5). B (-4, 3) ⇒ B'(3, -4). C (-2, 3) ⇒C'(3, -2). D (-1, 1) ⇒ D'(1, -1)

Secondly reflect along the x axis to give:

A'(1, -5)⇒ A"(1,5). B'(3, -4)⇒ B"(3,4), C'(3, -2)⇒C"(3, 2), D'(1, -1) ⇒ D"(1, 1)

Thirdly reflect along the y = x line to give:

A"(1,5) ⇒ A"'(5, 1). B"(3,4) ⇒ B"'(4, 3). C"(3, 2) ⇒ C"'(2, 3). D"(1, 1) ⇒ D"'(1, 1)

Lastly reflect along the y axis to give:

A"'(5, 1) ⇒ A""(-5, 1), B"'(4, 3) ⇒ B""(-4, 3), C"'(2, 3) ⇒ C""(-2, 3), D"'(1, 1) ⇒ D""(-1.1)

Answer:

y-axis, x-axis, y-axis, x-axis

Sorry for being really late but i hope this helps someone out there. I took the test and that was the correct answer.

Answer:

A= -8

B= 0

C= 0

D= 8

Step-by-step explanation:

Using derivatives, it is found that:

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

The first step is finding the critical points of f(x), which are the points in which \(f^{\prime(x)} = 0\)

The function is: \(f(x) = -x^2 + 4\).

Thus, the derivative is:

\(f^{\prime}(x) = -2x\)

The critical point is:

\(-2x = 0 \rightarrow x = 0\)

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Answer:

-3/5

Step-by-step explanation:

Y axis is the positive numbers

X axis is the negative numbers

The first cirle which is the -3 count upwards and the answer is 5.

Based on my knowledge the answer is -3 and 2 and i guess we have different lesson.

The x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.

What is parabola?

A parabolic function is a type of mathematical function that describes a parabolic curve or parabola. A parabola is a U-shaped curve that is symmetrical about its axis of symmetry.

The equation y = x^2 - 3x - 7 represents a parabolic function with its vertex located at (-3/2, -7). To find the x-coordinates of the x-intercepts (also known as the roots or zeros), we need to solve the equation x^2 - 3x - 7 = 0. This can be done using various methods, such as the quadratic formula or factoring.

Using the quadratic formula, the x-intercepts can be found as follows:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -3, c = -7, and √ represents the square root symbol.

So,

x = (-(-3) ± √((-3)^2 - 4(1)(-7))) / 2(1)

x = (3 ± √(9 + 28)) / 2

x = (3 ± √37) / 2

Hence, the x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.

So the answer to the question is:

1.305, 5.695

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Let x be the amount of fruit drink in the barrel initially. 60 liters of water was added to the barrel, making the total volume of fruit drink equal to x + 60 liters.Since the fruit drink is made up of 25% pure fruit juice and 75% water, the amount of pure fruit juice in x liters of fruit drink is: 0.25x liters

To calculate the amount of pure fruit juice in (x + 60) liters of fruit drink, the following formula can be used: 0.25(x + 60) liters The expression can be simplified to: 0.25x + 15 liters Since the desired fruit drink is again 25% pure fruit juice, the equation can be set up as follows:

=0.25(x + 60)

= 0.25x + y

Where y is the amount of pure fruit juice that must be added to the barrel.To find y, the equation can be solved for y by simplifying:

=0.25x + 15

= 0.25x + y

Simplifying: 15 = y Therefore, y = 15 liters of pure fruit juice must be added to the barrel to correct the mistake, so the barrel would again contain fruit drink with 25% pure fruit juice.

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The complete statement is:

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = 36°

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

The sum of angles in a triangle is 180°

So, we have the following representation

m∠F + m∠G + m∠H = 180°

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

54 + 90 + m∠H = 180°

Evaluate the sum in the above equation

This gives

144 + m∠H = 180°

Collect the like terms

m∠H = 180 - 144°

So, we have

m∠H = 36°

Hence, the value that completes the blank is 36°

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Complete question

Fill in the gap

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = °

Answer:

Q = 4

Step-by-step explanation:

Q = 13 - 9

\(\huge\text{Hey there!}\)

\(\large\text{Equation: q + 9 = 13}\)

\(\large\text{SUBTRACT both sides by 9}\)

\(\large\text{q + 9 - 9 = 13 - 9}\)

\(\large\text{Cancel out: 9 - 9 because that gives you 0}\)

\(\large\text{Keep: 13 - 9 because that gives you the value of q}\)

\(\large\text{q = 13 - 9}\)

\(\boxed{\boxed{\large\text{Answer: \bf q = 4 }}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1049:)}\)\(\large\text{SUBTRACT BOTH SIDES by 9}\)

Answer:

option D

Step-by-step explanation:

The volume of the garage is 64 times the volume of the model

Answer:

see explanation

Step-by-step explanation:

If (2x + 1) is a factor then x = - \(\frac{1}{2}\) is a root and P(- \(\frac{1}{2}\) ) = 0 ← Factor theorem

P(- \(\frac{1}{2}\) )

= 2(- \(\frac{1}{2}\) )³ - 11(- \(\frac{1}{2}\) )² - 4(- \(\frac{1}{2}\) ) + 1

= - \(\frac{1}{4}\) - \(\frac{11}{4}\) + 2 + 1

= - \(\frac{12}{4}\) + 3

= - 3 + 3

= 0

Since P(- \(\frac{1}{2}\) ) = 0 then g(x) is a factor of P(x)

Place value of 432 is 400 +30+02 .

What is place value?

In math, each digit in a very variety features a place value. Place value is outlined because the price pictured by a digit in a very variety on the premise of its position within the variety.

Main body:

The place value of a digit will increase by 10 times as we move  left on the place worth chart and reduces by ten times as we tend to move right.

The place of digit 4 will be hundreds.

The place of digit 3 will be tens.

The place of digit 2 will be ones.

Hence place value of 432 is  400 +30+02 .

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Step-by-step explanation:

y=mx+b (m is the slope, b is the y-intercept)

To come with sope choose two points from the graph (6,20), (4,30)

Then

m=(Y2-Y1)/(X2-X1) =(4-6)/(30-20)=-1/5

b= 50 (y-intercept)

SO    y=-1/5x-50

I hope this helps

y = -5x + 50

y-intercept is 50, slope is -5

Answer:

your answer would be 929.24856 or

≈ 929.2

Step-by-step explanation:

tan15∘ = opposite/adjacent​= x/17

tan15 ∘= x/17

tan15 /1 = x/17

1/2= 4.55514 ·17

=38.718689

38.718689 · 2 = 77.43738

(77.43738)(12)(multiply the 2)

and your answer should then be....929.24856 or 929.2

i hope i was able to help you!!!

The area of the regular pentagon is 929.2486 or 929.2.

A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .

According to the question,

The regular pentagon has 'O' as its center and radius of regular pentagon is 17.

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

Find the length of the apothem

tan θ = \(\frac{opposite}{adajacent}\)

To find θ

The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.

(12-2)180 = (10)(180).55

             = 1800.

To find entire interior angle 1800 divided by 8 we get 225.For the triangle  at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.  

tan 15° = \(\frac{x}{17}\)

(0.2679) 17 = x

x = 4.5543

Perimeter of the polygon = (4.5543)(17)

                                          = 77.4231

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

=77.4231 × 12

=929.2476

Hence, The area of the regular pentagon is 929.2486 or 929.2.

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So, the variance of the number of tornadoes in a year given that at least one tornado occurs is 3.

The Poisson distribution is a discrete probability distribution that describes the number of events that occur in a fixed interval of time or space, given the average number of events per interval.

For a Poisson distribution with mean λ, the variance is equal to λ.

Given that at least one tornado occurs in a year, the mean number of tornadoes is 3. Therefore, the variance is also equal to 3.

So, the variance of the number of tornadoes in a year given that at least one tornado occurs is 3.

It's worth noting that this result is based on the assumption that the number of tornadoes follows a Poisson distribution with mean 3, which may not always be the case in real-world scenarios. The actual number of tornadoes in a given year can be influenced by various factors such as climate, weather patterns, and geography.

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Answer:

9 gal

Step-by-step explanation:

The value returned by the call binary Search(values, target) is 5.

Let's perform a binary search on the given array:

The code segment provided is: int[] values = {1, 2, 3, 4, 5, 8, 8, 8}; int target = 8;

1. Initialize variables: low = 0, high = 7 (length of array - 1)
2. Calculate mid: mid = (low + high) / 2 = (0 + 7) / 2 = 3
3. Check if the target is equal to the middle element: values[3] = 4, which is not equal to 8
4. Since the target (8) is greater than the middle element (4), update low: low = mid + 1 = 3 + 1 = 4
5. Calculate mid again: mid = (low + high) / 2 = (4 + 7) / 2 = 5
6. Check if the target is equal to the middle element: values[5] = 8, which is equal to the target

As a result, the binary search function returns the index of the target, which is 5.

Therefore, the value returned by the call binary Search(values, target) is 5.

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