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2 years ago

Please help it’s multiple choice! No links

Mathematics

1 answer:

konstantin123 [22]2 years ago

4 0

Answer:

Option A, B, and D are true.

Explanation:

A coefficient is the number that is being multiplied by a variable. For example, in 7b, 7 would be the coefficient.

Terms are the numbers used in the equation. For example, in 3 + 2, 3 and 2 would be the terms.

3n and 5m are not coefficients as there are variables included. 3n and 5m are examples of a variable.

A constant is a number that is not multiplied by a variable. For example, in 8x + 3 + 2b, 3 would be the constant.

Hope this helped :)

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Prove that for every pair of integers m and n, if n − m is even, then n 2 − m is also even. (You may freely use the fact that th

Romashka [77]

Answer with Step-by-step explanation:

We are given that n and m are two integers

We have to prove that if n-m is even , then $n^2-m$ is also even.

We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.

Product of an odd number and even number is even.

Case 1.Suppose m and n are both even n=4 , m=2

$4-2=2$

$(4)^2-2=14 =Even$

Case 2.Suppose m odd and n odd

n=9,m=5

$9-5=4$

$(9)^2-5=76=Even$

Hence, proved.

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3 years ago

Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there

True [87]

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

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3 years ago

Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

$3.1111...-0.31111...=9n$

All of the 1s will cancel. So:

$3.1-0.3=9n$

Subtract:

$2.8=9n$

Divide both sides by 9:

$n=2.8/9$

Remove the decimal by multiplying both sides by 10:

$n=28/90$

Reduce:

$n=14/45$

And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

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