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2 years ago

Combine the like terms to create an equivalent expression: 7n+4+(-2n)

Mathematics

2 answers:

Paul [167]2 years ago

6 0

Answer:

5n+4

Step-by-step explanation:

7n - 2n= 5n

TEA [102]2 years ago

3 0

Answer:

5n + 4

Step-by-step explanation:

7n + 4 + (-2n)

= 7n + 4 - 2n

= 5n + 4

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For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

What is the slope of the line with the equation 8x + 3y = 9?

Sidana [21]

8x+3y=9
-8x. -8x
3y = -8x+9
3y/3 = (-8x+9)/3
y = -8/3x +3
so, slope is -8/3

6 0

3 years ago

Does this seem answer seem correct?

Blababa [14]

I mean I think so I’m not completely sure it’s a really hard question

5 0

3 years ago

Will crown brainiest for the correct answer plz read and answer try ur best and good luck

eduard

Answer:

53%

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The equations of two functions are y =-28x + 8 and y=-29x + 7. Which function is changing more

irinina [24]

Answer:

$y=-29x+7$ is changing more quickly.

Step-by-step explanation:

This is because the equation $y=-29x+7$ has a larger slope. The speed of change is determined entirely by the slope; the larger the slope, the faster the line goes up or down. It doesn't matter if it's negative or positive. -29 is the slope of the equation.

Please mark Brainliest.

4 0

2 years ago