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marusya05 [52]
3 years ago
9

What is the answer using synthetic division? -6x^3+18^2-7x-b divided by x-2

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

-6x^{3} + 322-7x - \frac{b}{x}

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

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<img src="https://tex.z-dn.net/?f=y%2B%20%20%5Cfrac%7B13%7D%7B4%7D%20%20%3D%20%28x%5E2-%20%5Cfrac%7B1%7D%7B2%7D%20%29%5E2" id="T
zhenek [66]

Answer:    \bold{y=\dfrac{1\pm \sqrt{4x+13}}{2}}

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and solve for y:

y+\dfrac{13}{4}=\bigg(x-\dfrac{1}{2}\bigg)^2\\\\\\x+\dfrac{13}{4}=\bigg(y-\dfrac{1}{2}\bigg)^2\rightarrow \text{(swapped the x's and y's)}\\\\\\\sqrt{x+\dfrac{13}{4}}=\sqrt{\bigg(y-\dfrac{1}{2}\bigg)^2}\rightarrow \text{(took square root of both sides)}\\\\\\\sqrt{\dfrac{4x+13}{4}}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(created common denominator in radical)}\\\\\\ \dfrac{\sqrt{4x+13}}{2}=\pm \bigg(y-\dfrac{1}{2}\bigg)}\rightarrow \text{(simplified radical)}

\pm \dfrac{\sqrt{4x+13}}{2}=y-\dfrac{1}{2}}\rightarrow \text{(divided both sides by}\ \pm )\\\\\\\dfrac{1}{2}\pm \dfrac{\sqrt{4x+13}}{2}=y\quad \rightarrow \text{(added}\ \dfrac{1}{2}\ \text{to both sides)}\\\\\\\dfrac{1\pm \sqrt{4x+13}}{2}=y\quad \rightarrow \text{(combined numerators)}

4 0
3 years ago
What is 46.273 rounded to the nearest whole number
MakcuM [25]

Answer:

46

Step-by-step explanation:

We notice that the digit in the tenth's position is the number 2. This is less than the number 5, hence we have to round this number 2 down to zero, which results in the entire number being 46.

3 0
3 years ago
Read 2 more answers
Ill give brainliest!
GaryK [48]

Answer:

if it does not overlap then you just find the possibility if one occurs.

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
WILL MARK AS BRAINLIEST
Stella [2.4K]
The general form for a sine function is: y = a sin(b[x + c]) + d
The amplitude is given by a, so a = 1.
The period is given by 2*pi/b, so 2*pi/b = pi/2, and b = 4.
The variable c gives the horizontal shift, of which there is none, so c = 0.
Finally, the vertical shift of 3 units means that d = 3.
So the equation is:
y = sin(4x) + 3
7 0
4 years ago
1Plss help,,,two to three sentences<br><br>Pythagorean theorem
saveliy_v [14]

Answer:

10

Step-by-step explanation:

so if u draw his paths you get a right triangle and so u can use Pythagoras theorem with is a²+b²=c²

so it will look like

c²= 8²+6²

c²=

\sqrt{100}

c²=10

6 0
2 years ago
Read 2 more answers
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