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stich3 [128]
3 years ago
5

3x²+x=2solve by factoring ?

Mathematics
2 answers:
lara [203]3 years ago
8 0
3x^2+x=2\\\\3x^2+x-2=0\\\\3x^2+3x-2x-2=0\\\\3x(x+1)-2(x+1)=0\\\\(x+1)(3x-2)=0\\\\x+1=0\ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ 3x-2=0\\x=-1\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ 3x=2\\x=-1\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ x=\frac{2}{3}\\\\
kondor19780726 [428]3 years ago
7 0
3x^2+x=2\\
3x^2+x-2=0\\
3x^2+3x-2x-2=0\\
3x(x+1)-2(x+1)=0\\
(3x-2)(x+1)=0\\
x=\frac{2}{3} \vee x=-1
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Help me with my math quiz from friday 4/1 <br> SHOW STEPS
malfutka [58]

Hie!! I will be solving the questions in the sequence of the attachments.

_______________________________________

4. As line SU and TV are intersecting each other at O.

A.T.Q, ∠UOV = (7x - 4)°

∠SOT = 87°

Then, ∠UOV = ∠SOT {Vertically Opposite Angles}

\rightarrow\sf{7x - 4=87}

\rightarrow\sf{7x =87+4}

\rightarrow\sf{7x =91}

\rightarrow\sf{x =\frac{91}{7}}

\rightarrow\boxed{\bf{x =13}}

_______________________________________

5. radius = 17ft

circumference of circle = 2πr

\rightarrow\sf{circumference=2\times\frac{22}{7}\times17}

\rightarrow\boxed{\bf{circumference=106.8ft}}

_______________________________________

3. ∠1 and ∠2 - add to 180 (linear pair)

∠1 and ∠3 - equal (Vertically Opposite Angles)

∠3 and ∠4 - add to 180 (linear pair)

∠2 and ∠4 - equal (Vertically Opposite Angles)

_______________________________________

2. 160° + (6x - 16)° = 180° (linear pair)

\rightarrow\sf{6x - 16 = 180-160}

\rightarrow\sf{6x - 16 = 20}

\rightarrow\sf{6x = 20+16}

\rightarrow\sf{6x =36}

\rightarrow\sf{x =\frac{36}{6}}

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8 0
2 years ago
an online movie stream plan charges an annual fee of $45 plus $2.50 per movie watched.Another plan has no annual fee but charges
Anastasy [175]
Ah, great question. Let me help you on this one.

We need to balance both equations for this to work out. This is needed because question asks us for an x variable that will make both equations equal to each other.

Let's write it out so it's easier for us to understand.

Let's not forget to multiply both sides by 100.

4500+(250x)=375x

Let's start by subtracting 45 from both sides.

4500+(250x)-4500=375x-4500

Let's simplify it.

250x=375x-4500

Now, we need to subtract 375 from both sides.

250x - 375=375x-4500+(-375)

Simplify it once again.

-125x=-4500

Divide both sides by -125

x=36

This plan will be the same cost after 36 movies.


7 0
3 years ago
Suppose human weights are normally distributed with mean 175 and standard deviation 36 pounds. A helicopter is evacuating people
Anuta_ua [19.1K]

Answer:

0.9812

Step-by-step explanation:

Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds

For a sample of 9 people std error of sample would be

\frac{36}{\sqrt{9} } =12

Thus we find that sample mean is N(175, 12)

The plane will lift safely if sample average <200 pounds

i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)

= P(\bar x

~0.981

8 0
3 years ago
Why would using a net and needing to know how to calculate surface area be an important part of designing a three-dimensional ob
son4ous [18]

Answer:

A net is a pattern made when the surface of a three-dimensional figure or solid is laid out flat showing each face of the figure. It is then possible to use the net to calculate the surface area of the solid. Surface Area of a Cube using Nets. A cube is a three-dimensional figure with six matching square faces.

Step-by-step explanation:

hope it helps

4 0
4 years ago
Suppose you have a 100-ml cup a 300-ml cup and a 500-ml cup. List two different ways you can measure exactly 1 L.
Vera_Pavlovna [14]
500ml + 500ml=1L
300ml+100ml+100ml=1L
5 0
4 years ago
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