The graph of the equation y = x^2 − x − 6 is shown below


For what value or values of x is y=0?

x=−2 and x=3

x=2 and x=−3

x=−6 only

x=−2 only

Answer:10+x

Step-by-step explanation:

Answer:

C. 5.8

Step-by-step explanation:

We use the Pythagoras theorem here. which is a²+b²=c².

a and b are the replacements for the 5miles and  3miles here.

They are a and b because a  and b are always on the right angle side.

The longest side of this triangle is called a hypotenuse which is the c in this case.

the other sides (a and b) are called the adjacent and the opposite.

it doesn't matter if you use adjacent or opposite for a and b in this case.

the only important thing is the hypotenuse here.

So it's a²+b²=c², which is 5²+3²=c².

5² is 25 and 3² is 9, so we add them and we get 34.

so c²=34, we don't want the square on c  so we send it to 34 which becomes √34.

√34 gives us 5.8 miles which is up to just only one decimal place.

You might need to use calculators for square roots because they take long to calculate.

Using proportions, it is found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

A proportional relationship is modeled by:

\(y = kx\)

In which k is the constant of proportionality.

In this problem, the ratio between the weighs loss after x days in hibernation is given by:

\(k = \frac{0.24}{8} = \frac{0.84}{28} = \frac{2.25}{75} = \frac{2.79}{93} = 0.03\)

Since this ratio is constant, the relationship is proportional, modeled by:

\(y = 0.03x\)

The weight lost after 115 days of hibernation is y(115), hence:

\(y = 0.03(115) = 3.45\)

The hedgehog loses 3.45 ounces after 115 days of hibernation.

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\( \: \)

Explanation :

So, here we are to factor the polynomial :

\(\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\\)

\( \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\\)

Some points to know :

Answer:

\(\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}\)

Step-by-step explanation:

\(10m ^ { 2n } +30mn ^ { 2 } +5mn\)

Factor out the common factor: 5

\(=5\left(2m^{2n}+6mn^{2}+mn\right) \)

\(=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)\)

=》This expression cannot be further simplified.

___________

Hope it helps ⚜

Answer:

They can bring up to 22 players

Step-by-step explanation:

They raised $1,724.00. They rented a bus for $948.50

$1,724.00 - $948.50 = 775.50

Since a meal costs $35.25, we will divide $775.50 by $35.25

$775.50 / $35.25 = 22

Which means they can bring 22 players to the tournament.

Answer:

2x - 5 if x ≤ 2

f(-1) = -7

Step-by-step explanation:

x ≤ 2 = (-1) ≤ 2

x > 2 = (-1) > 2

2x - 5

2(-1) - 5

-2 - 5

-7

48,000 people are in car pools in the city.

Because Carpooling is a type of car sharing in which several individuals travel in a single vehicle. It enables people to save money on transportation and decrease their environmental footprint. The issue of carpooling is of vital importance today because of its benefits, which include saving money, reducing air pollution, and reducing traffic congestion. The majority of people who carpool do so to save money on transportation. Approximately 15 out of every 100 individuals carpool to work, according to the question.

Therefore, the percentage of people who carpool to work is 15/100 or 0.15.The number of individuals who carpool to work is calculated using the percentage. The total number of people who work in the city is approximately 320,000. The number of individuals who carpool is calculated by multiplying the percentage by the total number of people who work in the city. The result will be the number of individuals who carpool to work in the city.Using the percentage of people who carpool to work and the total number of people who work in the city:15/100 * 320,000 = 48,000The estimated number of people who carpool to work in the city is 48,000. Therefore, 48,000 people are in car pools in the city.

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Answer:

The surface area of the rectangular pyramid can be calculated using the formula:

Surface area = (B + (4 x L))

Where B is the area of the base and L is the area of each side.

In this case, the area of the base is 14 x 17 = 238 in2 and the area of each side is 1/2 x 12 x 12.9 = 77.35 in2

Substituting these values into the formula, we get:

Surface area = (238 + (4 x 77.35)) = 441.3 in2.

Therefore, the surface area of the pyramid is 441.3 in2.

Answer: c

Step-by-step explanation:

Cuz its c

Two ounces of liquid is equivalent to four tablespoons. both are unit of measurement of volume

This can be useful when converting recipes or measuring ingredients. A tablespoon is a unit of measurement that is typically used to measure small amounts of ingredients such as spices, butter, oil, and other liquids. It typically holds three teaspoons of liquid or dry ingredients.

One tablespoon is equivalent to 15 milliliters, which is equal to 0.51 fluid ounces in the United States. Therefore, two ounces is equal to four tablespoons. When measuring ingredients, be sure to use the appropriate measurements for accuracy and to avoid over- or under-measuring.

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The house is 0 miles east of the center of the town.

To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.

Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.

Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).

Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).

Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.

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Answer:

\(x = 8\frac{1}{12}\)

Step-by-step explanation:

\(\frac{17}{15} =\frac{10}{2x-2}\)

\(17 ( 2x - 2 ) = 150\)

\(34x - 34 = 150\)

\(34x = 184\)

\(x = \frac{97}{12} = 8\frac{1}{12}\)

Answer:

Step-by-step explanation:

\(\frac{17}{15}= \frac{10}{2x-2}\)

\((2x-2 )*\frac{17}{15} =\frac{10}{2x-2} *(2x-2)\)

\(\frac{34x-34}{15} = 10\)

\(15*\frac{34x-34}{15} = 10*15\)

\(34x-34=150\)

\(34x=150+34\)

\(34x=184\)

\(x=\frac{92}{17}\)

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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To find the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5), we need to find the slope of the tangent line at that point.

First, we find the derivative of y with respect to x:

dy/dx = 5ex (-sin(x)) + 5ex cos(x)

Next, we evaluate the derivative at x = 0:

dy/dx |x=0 = 5e0 (-sin(0)) + 5e0 cos(0) = 5

So the slope of the tangent line at (0, 5) is 5.

Now we use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is the given point.

Plugging in the values we have:

y - 5 = 5(x - 0)

Simplifying, we get:

y = 5x + 5

So the equation of the tangent line to the curve y = 5ex cos(x) at the point (0, 5) is y = 5x + 5.

Step 1: Find the derivative of the function y.
Given function y = 5e^x cos(x), we will differentiate it with respect to x using the product rule.

Product rule: (uv)' = u'v + uv'
Let u = 5e^x and v = cos(x).

Step 2: Find u' and v'.
u' = d(5e^x)/dx = 5e^x
v' = d(cos(x))/dx = -sin(x)

Step 3: Apply the product rule.
y' = u'v + uv'
y' = (5e^x)(cos(x)) + (5e^x)(-sin(x))
y' = 5e^x(cos(x) - sin(x))

Step 4: Find the slope of the tangent line at the given point (0, 5).
Substitute x = 0 in the derived equation.
y'(0) = 5e^0(cos(0) - sin(0)) = 5(1)(1 - 0) = 5

Step 5: Use the point-slope form to find the equation of the tangent line.
Point-slope form: y - y1 = m(x - x1)
Given point: (0, 5) => x1 = 0 and y1 = 5
Slope (m) = 5

Step 6: Plug the values into the point-slope form.
y - 5 = 5(x - 0)
y - 5 = 5x

Step 7: Rewrite the equation in slope-intercept form (y = mx + b).
y = 5x + 5

The equation of the tangent line to the curve y = 5e^x cos(x) at the point (0, 5) is y = 5x + 5.

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Answer:

xyz plz my answer as brainliest

Answer:

Angle XYZ

Step-by-step explanation:

An angle can be named by either of the ending points, however the center point must always be in the center of the angle name.

Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

Answer:

-11

Step-by-step explanation:

First we plug -2 in for c

4(-2)-3=-8-3=-11

Answer:

c.) b = a - 5

Step-by-step explanation:

To know how to do it, just plug in a and b into the equations

Ex: 0 = 5-5

1 = 6-5

2 = 7-5

Answer:

13

Step-by-step explanation:

because

Answer:

D

Step-by-step explanation:

7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7

count

Answer:

x = ln9

Step-by-step explanation:

Using the rule of logarithms

log \(x^{n}\) = nlogx , lne = 1

Given

\(e^{x}\) = 9 ( take the ln of both sides )

ln\(e^{x}\) = ln9, thus

xlne = ln9, that is

x = ln9

Answer: In point form it is (2,3)

Step-by-step explanation: Hope I helped

Answer:

(2,3)

Step-by-step explanation:

there you go !!

Answer:

x = \(\frac{b}{a}\)

Step-by-step explanation:

Given

ax - b = 0 ( add b to both sides )

ax = b ( divide both sides by a )

x = \(\frac{b}{a}\)

The values of x and y will be 5 and 0, respectively.

We can solve this system of equations by substitution or elimination. Here's how to do it by substitution:

Solve the first equation for x or y. Let's solve for y:

-x + y = -5

y = x - 5

Substitute the expression for y into the second equation and solve for x:

3x + 5y = 15

3x + 5(x - 5) = 15

3x + 5x - 25 = 15

8x = 40

x = 5

Substitute the value of x back into one of the original equations and solve for y:

-x + y = -5

-(5) + y = -5

y = 0

Therefore, the solution to the system of equations is (x, y) = (5, 0).

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The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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Answer:

a, b c, or d

Step-by-step explanation:

It has to be one of those answers so you have a 25% chance of getting it right

Answer:

The answer is C.

Step-by-step explanation:

Answer:if you are looking for the hypotenuse use Pythagoras theorem 17.2047

Step-by-step explanation:square both the base and height .Add their total then find the square root

Answer:

$16200

Step-by-step explanation:

24 times 350=8400

8400+7000+800

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

c=6

Answer:

-24

Step-by-step explanation:

=3×2-5×+6

=3×2-(5×+6)

=3×2-(+30)

=3×2-30

=6-30

=-24

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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The "central-tenet" in his system was : (d) Workers should earn "higher-wages" and work "shorter-hours", which creates new pool of consumers with income and leisure to purchase car.

Henry Ford's system, known as Fordism, was characterized by the belief that by paying workers higher wages and reducing their working hours, they would have the means and leisure time to become consumers of the products they were producing, particularly automobiles.

Ford implemented the 8-hour workday and a $5 daily wage for his workers, which was significantly higher than the prevailing wages at the time. This approach aimed to increase the purchasing-power of workers and stimulate consumer demand, ultimately benefiting the economy as a whole.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Henry Ford is known for refining the assembly line and the Model T. He also adopted an attitude that came to be known as Fordism. What was a central tenet in his system?

(a) Workers could easily tolerate working on an assembly line, so they should be paid lower wages and work longer hours.

(b) Workers should be drawn from a pool of immigrant labor, which was cheaper and willing to tolerate the grueling work of an assembly line.

(c) Workers should earn lower wages and work shorter hours, since they were easily replaced on the assembly line.

(d) Workers should earn higher wages and work shorter hours, creating a new pool of consumers with the income and leisure to purchase a car.

An appropriate tree diagram.
            /    \

           /      \

   0.6 /         \ 0.4

       /             \

     R               NR

    / \                /  \

  /     \             /       \

0.6    0.4    0.6    0.4

 R     NR     R        NR

Where R represents rain and NR represents no rain.

By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of

P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16

Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.

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