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3 years ago

If x+y = nx+2 then x equals

Mathematics

2 answers:

katrin2010 [14]3 years ago

8 0

Answer:

Hello,

Step-by-step explanation:

x+y=nx+2

x-nx=2-y

x(1-n)=2-y

if 1-n ≠0 (or n≠1) then

$x=\dfrac{2-y}{1-x}$

MaRussiya [10]3 years ago

5 0

Answer:

x+y = nx+2

⇔x-nx = 2-y

⇔x(1-n) = 2-y

⇔x = (2-y)/(1-n)

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6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4

Gwar [14]

Answer:

k = 1

Step-by-step explanation:

Discriminant

$b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0$

$\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}$

$\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}$

$\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}$

As we need to determine the value of k that will give one solution, set the discriminant to zero.

Given equation:

$y=kx^2-4x+4$

Therefore:

a = k
b = -4
c = 4

Substitute these values into the discriminant and solve for k:

$\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}$

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1 year ago

Write your answer as a whole number and remainder. 31+4=R

ki77a [65]

Answer:

Step-by-step explanation:

Add 31 and 4 to get 35.

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3 years ago

Which of the following statements is false?

Sauron [17]

A and B

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2 years ago

Read 2 more answers

Write the sentence as an inequality. A number t multiplied by -4 is at least −2/5

OleMash [197]

Answer:

We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

-4t ≥ -2/5

Step-by-step explanation:

Given

A number t multiplied by -4 is at least −2/5

To determine

Write the sentence as an inequality.

For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.

It is stated that A number t multiplied by -4 is at least −2/5.

Let 't' be the number.

Multiplying t by -4 is: -4t

Thus, A number t multiplied by -4 is at least −2/5 will be written as:

-4t ≥ -2/5

Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

-4t ≥ -2/5

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