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3 years ago

I need lots of help on slope! Find the slope and the y-intercept of the line

Mathematics

2 answers:

Slav-nsk [51]3 years ago

6 0

Answer:

Slope:6x

Y-intercept:-9

Step-by-step explanation:

first you move -6x to the other side so it can be 3y=6x-9

now you can refer to y=mx+b , mx is the slope and b is the y-intercept!

Sergeu [11.5K]3 years ago

5 0

Slope formula states that y = mx + b where m is the slope, x is the variable and b is the y intercept

Rearrange the equation to look like the slope formula

-6x + 3y = -9 - - - - - 3y = 6x - 9 - - y = 6x/3 -9/3

Answer is <u><em>y = 6x/3 -9/3</em></u>

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3 years ago

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Answer:

Step-by-step explanation:

We have: (I rewrote the function)

$f(z_n)={z_{n-1}} ^2+c$

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$\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i$

The first iterate will be:

$\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}$

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$\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}$

And the third iterate will be:

$\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}$

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3 years ago

Solve for x. Round your answer to the nearest hundredth.

Zarrin [17]

Answer:

Option B is correct

Step-by-step explanation:

2x² - 6x + 3 = 0

Using Quadratic formula:

x = $\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$

a = 2, b = -6, c = 3

x = $\frac-(-6)+-{\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}$

x = $\frac{-(-6)+-\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}\\$

$=\frac{6+-\sqrt{36-24}}{4}\\\\=\frac{6+-\sqrt{12}}{4}\\\\=\frac{6+-3.46}{4}\\\\$

$=\frac{6+3.46}{4}$

x = 2.37

$=\frac{6-3.46}{4}$

x = 0.63

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