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3 years ago

Which of the following are mathematical sentences? Check all that apply.

Mathematics

2 answers:

Paraphin [41]3 years ago

5 0

A, C, E

any mathematical expression that then includes an equal sign becomes a sentence or equation

Paraphin [41]3 years ago

5 0

Answer: A. 4 - d = 8

C. 3 + 2 = 5

E. 1 < 2

Step-by-step explanation:

A mathematical sentence makes by combining two expressions with a comparison operator (+,-,×,÷) to create a fact that it may be either true or false.

A. 4 - d = 8

It is a mathematical statement which says that the difference between 4 and d is 8.

B. 4 - v

It is not a mathematical statement because it is neither true nor false. It is just a variable expression.

C. 3 + 2 = 5

It is a mathematical statement which is true.

D. 6

It is not a mathematical statement because it is neither true nor false.

E. 1 < 2

It is not a mathematical statement which is false. It is just a numerical expression.

F. 5g

It is not a mathematical statement because it is neither true nor false.It is just a variable expression.

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What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?

Vesna [10]

Answer:

z = x^3 +1

Step-by-step explanation:

Noting the squared term, it makes sense to substitute for that term:

z = x^3 +1

gives ...

16z^2 -22z -3 = 0 . . . . the quadratic you want

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<em>Solutions derived from that substitution</em>

Factoring gives ...

16z^2 -24z +2z -3 = 0

8z(2z -3) +1(2z -3) = 0

(8z +1)(2z -3) = 0

z = -1/8 or 3/2

Then we can find x:

x^3 +1 = -1/8

x^3 = -9/8 . . . . . subtract 1

x = (-1/2)∛9 . . . . . one of the real solutions

x^3 +1 = 3/2

x^3 = 1/2 = 4/8 . . . . . . subtract 1

x = (1/2)∛4 . . . . . . the other real solution

The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.

7 0

3 years ago

Read 2 more answers

The difference of 4 minus 17 less the sum of 6 and 1

steposvetlana [31]

Answer:

4-(-10)

Step-by-step explanation:

17 less than 6+1 is negative 10 so 4 minus negative 10

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2 years ago

(10 pts) (a) (2 pts) What is the difference between an ordinary differential equation and an initial value problem? (b) (2 pts)

laiz [17]

Answer:

Step-by-step explanation:

(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.

(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.

(C) Example of a second order linear ODE:

M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)

The equation will be homogeneous if K(t)=0 and heterogeneous if $K(t)\neq 0$

Example of a second order nonlinear ODE:

$Y=-3K(Y){2}$

(D) Example of a nonlinear fourth order ODE:

$K^4(x) - \beta f [x, k(x)] = 0$

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3 years ago

Zaria wants you to solve this puzzle: “I am thinking of a number.

pshichka [43]

Answer:

first what you do is divide two and then for and then after you divide them together you can get your number so I'm going to show you example how to do it

Step-by-step explanation:

first divide 4 / 2 and then you can get your answer after you divide that

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2 years ago

I need help this is hard for me and I have a few

VLD [36.1K]

Step-by-step explanation:

Subtracting N by T

(3a2 + 2a - 5) - (2a2 + a + 6)

Subtracting like terms

a2 + a - 11

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2 years ago