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astra-53 [7]
3 years ago
9

Graph the inequality y> 2x +3

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Graph the inequality y> 2x +3

Solution

<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.

<u>Step 2:</u> Forming the table.

Let's take x = -1 and find the value of y.

Plug in x = -1 and find the value of y.

y = 2(-1) + 3 = -2 + 3 = 1

When x = -1, the value of y is 1.

So the coordinates are (-1, 1)

Plug in x = 0 and find the value of y.

y = 2(0) + 3 = 3

The coordinates are (0, 3)

Plug in x =1 and find the value of y.

y = 2(1) + 3 = 2 + 3 = 5

The coordinates are (1, 5)

<u>Steo 3: </u>Now let's plot the points and draw the graph.

Since the graph is greater than, we have to draw the dotted lines and shade the region above.

Note: You can find the graph in the attachment.

Thank you :)

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A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence
Sindrei [870]
ANSWER

a_{55}=161


EXPLANATION

The general term for the sequence is


a_n=-1+3(n-1)


To find the 55th term, we have to substitute
n = 55
in to the general term and simplify.



This implies that,

a_{55}=-1+3(55-1)



a_{55}=-1+3(54)




a_{55}=-1+162



a_{55}=161


Therefore the 55th term is 161.
8 0
3 years ago
Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre
Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups =25\cdot (1+0.2)=1.2\cdot 25=30

Number of squats =x\cdot (1+0.2)=1.2x

Total number =30+1.2x

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40

6 0
3 years ago
Find the value of +c15 when =c4.
Montano1993 [528]
It equals 60 u do 15* 4
6 0
3 years ago
Solve for x.<br> 3(x + 2) + 4(x - 5) = 10
____ [38]

Step-by-step explanation:

3x+6+4x-20=10

7x-14=10

7x=24

x=24/7

6 0
3 years ago
Read 2 more answers
If f(x) = √ x + 11, what is f (20)?
mylen [45]

Answer:

2sqrt(5)+11

Step-by-step explanation:

f(x)=sqrt(x)+11

f(20)=sqrt(20)+11

f(20)=sqrt(4*5)+11

f(20)=sqrt(4)*sqrt(5)+11

f(20)=2*sqrt(5)+11

8 0
3 years ago
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