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kupik [55]
2 years ago
10

2x+1<9 I need help with this question

Mathematics
1 answer:
tia_tia [17]2 years ago
4 0

Answer: x<4

Step-by-step explanation: Let's solve your inequality step-by-step.

2x+1<9

Step 1: Subtract 1 from both sides.

2x+1−1<9−1

2x < 8

Step 2: Divide both sides by 2.

2x /2  <  8 /2

x<4

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Let c be the curve which is the union of two line segments, the first going from (0, 0) to (4, 4) and the second going from (4,
victus00 [196]
First of all we need to find a representation of C, so this is shown in the figure below.

So the integral we need to compute is this:

I=\int_c 4dy-4dx

So, as shown in the figure, C = C1 + C2, so:

I=\int_{c_{1}} (4dy-4dx)+\int_{c_{2}} (4dy-4dx)=I_{1}+I_{2}

Computing first integral:

c_{1}: y-y_{0}=m(x-x_{0}) \rightarrow y=x

Applying derivative:

dy=dx

Substituting this value into I_{1}

I_{1}=\int_{c_{1}} (4dx-4dx)=\int_{c_{1}} 0 \rightarrow \boxed{I_{1}=0}

Computing second integral:

c_{2}: y-y_{0}=m(x-x_{0}) \rightarrow y-0=-(x-8) \rightarrow y=-x+8

Applying derivative:

dy=-dx

Substituting this differential into I_{2}

I_{2}=\int_{c_{2}} 4(-dx)-4dx=\int_{c_{2}} -8dx=-8\int_{c_{2}}dx

We need to know the limits of our integral, so given that the variable we are using in this integral is x, then the limits are the x coordinates of the extreme points of the straight line C2, so:

 I_{2}= -8\int_{4}^{8}}dx=-8[x]\right|_4 ^{8}=-8(8-4) \rightarrow \boxed{I_{2}=-32}

Finally:

I=\int_c 4dy-4dx=0-32 \rightarrow \boxed{I=-32}
4 0
3 years ago
Will give brainliest Please help
statuscvo [17]

Answer:

QR=RS

Step-by-step explanation:

She knows that PRQ=TRS because of vertical angles.

She needs to know the length of the lines QR and RS are equal, that is the line between the two angles.

5 0
3 years ago
23.
guajiro [1.7K]

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 90, 95, 80, 84, 75, 80.
  • The values of y are: 80, 90, 90, 95, 75, 85.

Using a calculator, the coefficient is of 0.35.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

5 0
1 year ago
9 + 15m<br><br><br><br>factorisation of algebraic expression that contain common factor​
Svet_ta [14]
The common factor would be 3 because 3 is the highest multiple of 15 and 9
6 0
3 years ago
Read 2 more answers
What is the next fraction in this sequence? Simplify your answer. 3/4, 1/4, 1/12, 1/36
antiseptic1488 [7]
Hey their,

3/4 
1/4
1/12
1/36
0/60

The pattern is -1/x every 2 +x/8 

How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12

Hopethis helped


7 0
3 years ago
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