MATHEMATICS MIDDLE SCHOOL

What type of conic section is given by the equation 4x^2+9y^2=36? What are its domain and range?

Answers

Answer 1

Answer:

Answer:

Ellipse

Domain:[-3,3]

Range:[-2,2]

Step-by-step explanation:

We are given that an equation

$4x^2+9y^2=36$

We have to find the type of conic section and find the domain and range of conic section.

Divide by 36 on both sides then, we get

$(x^2)/(9)+(y^2)/(4)=1$

$(x^2)/(3^2)+(y^2)/(2^2)=1$

It is an equation of ellipse.

Substitute y=0 then , we get

$(x^2)/(9)=1$

$x^2=9$

$x=\pm 3$

Domain :[-3,3]

Substitute x=0 then we get

$(y^2)/(4)=1$

$y^2=4$

$y=\pm 2$

Range=[-2,2]

Answer 2

Answer: $4x^2+9y^2=36\n \n (4x^2)/(36)+(9y^2)/(36)=(36)/(36)\n \n \boxed{(x^2)/(9)+(y^2)/(4)=1}$

This is a equation of a ellipse (0,0) centered

Domais: {x∈R/-3≤x≤3}
Range:{y∈R/-2≤y≤2}

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What is the type of fee charged for withdrawing money from a CD before thedate of maturation?
O
O
O
A. FDIC fee
B. Early redemption fee
C. Liquidity fee
SUBMIT
PREVIOUS

Answers

The type of fee charged for withdrawing money from a CD before the date of maturation is Early redemption fee.

We have to determine the type of fee charged for withdrawing money from a CD before the date of maturation.

We have given

A. FDIC fee

What is the FDIC fee?

It required the largest taxpayer bailout in the year 2008 financial crisis, explained in a footnote on its schedule of fees for business accounts in the nation's states that it charges an FDIC insurance fee at the annual rate of 13 cents per $100.

It related to insurance so it is not correct option.

B. Early redemption fee

The fee may be required to make to a lender if we pay off a loan or mortgage before the scheduled term of the credit facility.

So the Banks and credit unions often charge a fee if you withdraw money before maturity.

Therefore the Option B is correct.

C. Liquidity fee

This is nothing but the liquidity facility providers that the borrower may from time to time agree to pay.

Therefore this is not correct option

To learn more about withdrawing money from a CD visit:

brainly.com/question/1196494

Answer: early redemption fee

Step-by-step explanation:

If set D is not the empty set but is a subset of set E, then which of the following is true? D ∩ E = D D ∩ E = E D ∩ E = ∅

Answers

Answer:

$D\cap E$ =D

Step-by-step explanation:

We are given that D is not empty set but D is a subset of set E.

We have to find the true statement.

$D\neq \phi$

D is a subset of set E

Therefore, $D\subset E\neq \phi$

Intersection: It is the set of common elements of two sets.

Therefore, $D\cap E$ =D

Because E contains all elements of D .

Hence, Option A is true.

Answer:

D intersect E=D (the first one you have)

Step-by-step explanation:

D is a subset of E

That means all the elements in D are also in E

So the intersection of D and E is D.

The first thing you wrote is correct, that is, D intersect E=D is right

Solve: 3x - 2x + 4 = 5x - 4x - 8

Answers

Answer:

No solution for the given algebraic expression.

Step-by-step explanation:

To solve the algebraic equation we must isolating the variable or rewriting the equation so that the one expression is only the variable with the coefficient 1.

Solve: $3x-2x+4=5x-4x-8$

Now put every terms that contains variables on one side of the equation and those terms on the other side which does not contains the variable.

$3x-2x-5x+4x=-4-8$

Combine like terms:

$x-x=-12$

$0=-12$ which is not true.

therefore, the given expression have NO SOLUTION.

The equation $3x-2x+4=5x-4x-8$ has $\boxed{\text{\bf no solution}}$ .

Further explanation:

Given:

The equation is $3x-2x+4=5x-4x-8$ .

Calculation:

The above equation involves only one variable.

To solve a one variable linear equation, arrange all the terms that contain variable on one side and the terms that are free from variable on the other side.

Write the given equation by taking terms that contains variable on left side and the terms which are free from variables on right side.

Subtract $(5x-4x)$ from both the sides of the given equation.

$\begin{aligned}3x-2x+4&=5x-4x-8\n3x-2x-5x+4x+4&=5x-4x-8-5x+4x\n7x-7x+4&=-8\end{aligned}$

Subtract $4$ from both the sides of the above equation,

$\begin{aligned}7x-7x+4-4&=-8-4\n0&=-12\end{aligned}$

The above equation shows that the value of $0$ is equal to $-12$ .

The statement “0 is equal to -12” is a false statement.

Therefore, the equation $3x-2x+4=5x-4x-8$ has no solution.

No solution means there exists no value of $x$ that satisfies the given equation.

Learn more:

1. Solution of linear equation ://brainly.com/question/1682776

2. Equation of line brainly.com/question/1473992

3. A problem on intercept brainly.com/question/1473992

4. A problem on composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, variable, 3x - 2x + 4 = 5x - 4x – 8, constant, linear equation, no solution, solve, addition, subtraction, isolate, plug, substitute.

Round each decimal to the nearest whole number 30.92

Answers

The required rounded value of 30.92 to the nearest whole number is 31.

How to round the nearest whole number?

To round to the nearest whole number, you need to look at the digit in the whole number place, which is 5 in this case. If the digit in the tenth place is 5 or greater, you round up, otherwise, you round down.

We have to determine a value of 30.92 that rounded to the nearest whole number

To round down, simply remove all the digits after the whole number, so in this case, 30.92 rounded to the nearest whole number is equal to 31, which is equal to 31.

So, the rounded value of 30.92 to the nearest whole number is 31.

Learn more about approximation here:

brainly.com/question/11863074

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It would be 31. 31 is a whole number. since 0.91 is close to 1. We would round it to 31 because of that.

It has 2 fewer sides than a heptagon

Answers

a heptagon has 7 sides so it would be a pentagon (which has 5 sides)

The answer would be a nonagon

!!20 points!!! Determine which postulate or theorem can be used to prove that ABC =
DCB

Answers

I think the answer is A, SAS

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