5х^2= 10X this is a quadratic

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The solution of the system of linear equations is 6x + 7y = 594x + 5y = 41 is x = 4, y = 5.

A system of linear equations is a set of two or more equations with the same variables. To solve a system of linear equations, we can use different methods like substitution, elimination, or matrices.

To solve the system of linear equations:

6x + 7y = 59

4x + 5y = 41

One method is to use substitution. To use substitution, we can solve one of the equations for one of the variables and then substitute it into the other equation.

Solve the first equation for x:

6x + 7y = 59  

x = (59 - 7y) / 6

Substitute this expression for x into the second equation:

4((59 - 7y) / 6) + 5y = 41

118/3 - 14y/3 + 5y = 41

y/3 = 5/3

Solve the equation for y:

y = 5

Now use the value of y to find x in the first equation

x = (59 - 7(5))/6

= (59 - 35)/6

= 4

To know more on substitution method

https://brainly.com/question/14619835

#SPJ4

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

for such more question on sequence

https://brainly.com/question/27555792

#SPJ8

X(u, v) = (sqrt(1-u^2)cos(v), sqrt(1-u^2)sin(v), u) is indeed a coordinate patch, satisfying both conditions.

To show that X(u, v) = (sqrt(1-u^2)cos(v), sqrt(1-u^2)sin(v), u) is a coordinate patch, we need to verify two conditions:

X is a differentiable map.

The Jacobian matrix of X has rank 2 everywhere on the domain.

Let's analyze each condition:

X is a differentiable map:

The components of X are composed of elementary functions (square root, cosine, sine, and linear functions), which are all differentiable. Therefore, X is a differentiable map.

Jacobian matrix:

The Jacobian matrix of X is given by:

J = [ ∂x/∂u ∂x/∂v ]

[ ∂y/∂u ∂y/∂v ]

[ ∂z/∂u ∂z/∂v ]

Taking the partial derivatives, we have:

∂x/∂u = (-u/sqrt(1-u^2))cos(v)

∂x/∂v = -sqrt(1-u^2)sin(v)

∂y/∂u = (-u/sqrt(1-u^2))sin(v)

∂y/∂v = sqrt(1-u^2)cos(v)

∂z/∂u = 1

∂z/∂v = 0

The Jacobian matrix becomes:

J = [ (-u/sqrt(1-u^2))cos(v) -sqrt(1-u^2)sin(v) ]

[ (-u/sqrt(1-u^2))sin(v) sqrt(1-u^2)cos(v) ]

[ 1 0 ]

To determine the rank of the Jacobian matrix, we can perform row operations to simplify it:

R2 = R2 + R1(sin(v)/cos(v))

R1 = R1(cos(v))

After simplification, we have:

J = [ -u 0 ]

[ -u 0 ]

[ 1 0 ]

The rank of the Jacobian matrix is 2, which implies that it has full rank everywhere on the domain.

Therefore, X(u, v) = (sqrt(1-u^2)cos(v), sqrt(1-u^2)sin(v), u) is indeed a coordinate patch, satisfying both conditions.

Learn more about coordinate here

https://brainly.com/question/18269861

#SPJ11

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

It is given to us that -

A basketball player claims to make 47% of her shots from the field

The player takes sets of 10 shots

Assuming that her claim is true, a total of 25 repetitions of a simulation were performed

The number of makes in each set of 10 simulated shots was recorded on the dot plot

We have to suppose this player attempts 10 shots in a game and makes only 3 of them.

For the simulation of the player taking sets of 10 shots, we have to determine if we have enough convincing evidence that she is less than a 47% shooter.

From the given information, the approximate probability of finding out that a 47% shooter makes only 3 of the 10 attempted shots can be determined as -

P (x = 3) = 3/10 = 0.33 = 33%

Since the probability is 33% which is less than 47% as claimed by the basketball player, it can be concluded that there is convincing evidence that she is less than a 47% shooter.

To learn more about probability visit https://brainly.com/question/29381779

#SPJ4

Answer:

f(x)=xy3 -4xy2 -7x+10

Step-by-step explanation:

the xy3 and xy2 means x to the 3rd power and x to the second power

Answer:

37

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

2x + 2

Step-by-step explanation:

Combine all the like terms:

-5x + 7x -12 + 14 = 2x + 2

Answer:

2x + 2

Step-by-step explanation:

(- 5x - 12) + (14 + 7x) ← remove parenthesis

= - 5x - 12 + 14 + 7x ← collect like terms

= (- 5x + 7x) + (- 12 + 14)

= 2x + 2

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

Learn more about sales tax -

https://brainly.com/question/9437038

#SPJ4

Learn more

To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

Learn more about integral here : brainly.com/question/31059545

#SPJ11

Answer:

it would be A

Step-by-step explanation:

Answer:

15 inches

Step-by-step explanation:

18/90= price for 18 inches.

To get to 75 cents, we have to make the top equal to 1. We can do this by dividing the numerator and denominator by 18. That leaves us with 1/5.

Now, we can multiply the top and bottom by 15. This is because 5 x 15= 75.

What you do to the bottom of the fraction you also do to the top. This leaves us with the answer: 15/75. That means you can buy 15 inches of wire for 75 cents.

Answer:

The area will decrease by 9%.

Step-by-step explanation:

The area of a rectange is given by the formula below.

\(\boxed{\text{Area of rectangle}= \text{length}×\text{width}}\)

Let the original length and width of the rectangle be L and W respectively.

Start by finding the original area:

Original dimensions

Length= L= 100%L

Width= W= 100%W

Original area= LW

Let's find the dimensions of the new rectangle in terms of L and W.

New dimensions

Length= (100% +30%)L= 130%L

Width= (100%-30%)W= 70%W

New area

\( = \frac{130}{100} L \times \frac{70}{100} W\)

\( = \frac{91}{100} LW\)

= 91% LW

Comparing the new area with the original area:

100% LW- 91% LW= 9% LW

∴ The area will decrease by 9%.

*Note that percentage is equivalent to dividing a number by 100.

Answer:

the answer is 17.75

Step-by-step explanation:

Answer:

17.75

Step-by-step explanation:

i took the test

Step-by-step explanation:

consecutive numbers follow each other thus if the first is x the second will be x+1 e.t.c:

1. x+x+1+x+2+x+3=2

x+x+x+x+1+2+3=2

4x=2-6

4x= -4

x= -1

The numbers are -1, 0, 1 and 2

2.x+x+1+x+2= -6

3x+3=-6

3x= -6-3

3x= -9

x=-3

The numbers are -3,-2 and -1

Answer:

This is your answer ☺️

To find the integral representing the volume of the solid that the cylinder with base r, we can use cylindrical coordinates. The volume of the cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height.

Using cylindrical coordinates, the solid can be represented as the region bounded by the planes z=0, z=h, and the cylinder \(x^2+y^2=r^2\). The integral to find the volume of this solid is then given by the triple integral over the region in cylindrical coordinates, i.e., ∭E r dr dθ dz

where E is the region bounded by the planes z=0, z=h, and the cylinder \(x^2+y^2=r^2\), and the limits of integration are r=0 to r=r, θ=0 to 2π, and z=0 to h. In this integral, the integrand is simply r, which represents the infinitesimal volume of the solid element at each point in the region E. Integrating this over the entire region E gives the total volume of the solid.

Learn more about integration here:

https://brainly.com/question/31744185

#SPJ11

Answer:

Step-by-step explanation:

The negative sign in y = -2x + 2 tells us immediately that the y intercept of the graph of this function is (0, 2).  If we start at (0, 2) and increase x by multiples of 1, y decreases by 2 in each case (the slope of this line is -2).  Thus, we begin a table as follows:

 x   y = -2x + 2

 0   2

 1    -2(1) + 2 = 0

 2   -2(2) + 2 = -4 + 2 = -2

and so on:

 x   y = -2x + 2

 0   2

 1    0

 2  -2

 3   -4

 4    -6

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

The slope of the line is -7 and the y-intercept is negative 3. The line is drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = -7x - 3

More about the graph of the function link is given below.

https://brainly.com/question/27757761

#SPJ1

The expression 4 10/5 is the same as 4 + 10/5. It has a whole part (4) and a fraction part (10/5).

To find out if this expression is equivalent to 6, we need to simplify the fraction part:

We can simplify the fraction part in a whole number (2), so we have that:

So the answer is Yes, 4 10/5 is equivalent to 6.

When a 6-foot tall man walks at a rate of 10 ft per second away from a light that is 15 ft above the ground. when he is 13 ft from the base of the light, the rate at which  the tip of his shadow changing is 16.66 ft/s

Given, that the height of a man = is 6 feet

Height of the light = 15 feet

Rate of walk by man, dx/dt = 10 feet per second.

Here, in this question, we have to find out the rate at which the tip of his shadow is moving when the man is 13 feet from the base of the light.

By using the ratio of similar triangles we find that

⇒15/y = 6/(y - x)

⇒15(y - x) = 6y

⇒15y - 15x = 6y

⇒15y - 6y = 15x

⇒9y = 15x

Now dividing both sides 3 we will get

3y = 5x

Differentiating both sides with respect to t, we get

3(dy/dt) = 5(dx/dt)

⇒dy/dt = (5/3)(dx/dt)

⇒dy/dt = (5/3)(10)

⇒dy/dt = 50/3

⇒dy/dt = 16.66 ft/s

Therefore the rate at which the tip of his shadow will change when he is walking at a rate of 10ft/s is 16.66ft/s

Learn more about rate of change:

https://brainly.com/question/25184007

#SPJ4

The floor area of the bedroom is equal to: 3. 225√3 square feet.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle = 1/2 × b × h

Where:

Since line segment EF is parallel to line segment BC, we can logically deduce that the corresponding angles of triangles AEF and ABC would  be congruent (equal). Therefore, we have the following proportional sides;

AE/ AB = A-F/FC

30/(30 + 30) = x/(x + 15)

x = 15

Length AC = x + 15

Length AC = 15 + 15

Length AC = 30 feet.

Now, we can determine the floor area of the bedroom in square feet as follows:

Floor area of the bedroom = Area of triangle ACD

Floor area of the bedroom = √3/4 × 30²

Floor area of the bedroom = √3/4 × 900

Floor area of the bedroom = 225√3 square feet.

Read more on area of triangle here: brainly.com/question/12548135

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a=3 b=6

Step-by-step explanation:

I just answered that question correctly on Edgeunity.

Answer:

3, 6. just answered it and got it right.

Step-by-step explanation:

If you add a small imperfection to a system that has saddle-node bifurcation, the system will experience a phenomenon known as "imperfect bifurcation."

This means that the bifurcation will not occur at a single, well-defined point, but rather over a range of parameter values. This can lead to a change in the dynamics of the system, such as the appearance of new attractors or the disappearance of existing ones. In general, imperfect bifurcation can make the behavior of a system more complex and difficult to predict.

Moreover, the specific effect of the imperfection will depend on its size, location, and nature, and can vary between different types of saddle-node bifurcations, such as fold or transcritical bifurcations. Therefore, the analysis of imperfect bifurcation requires a detailed understanding of the system's dynamics and the effects of perturbations.

Learn more about saddle-node bifurcation https://brainly.com/question/29659727

#SPJ11