Mathematics High School

solving systems of linear inequalities

Solving Systems Of Linear Inequalities

Answers

Answer 1

Answer:

YES. (2, 7) is a solution of the system.

Step-by-step explanation:

System of linear inequalities has been given as,

y ≥ -x + 1 --------(1)

y < 4x + 2 ------(2)

If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.

By substituting the coordinates of point (2, 7) in inequality (1),

7 ≥ -2 + 1

7 ≥ -1

True.

By substituting the coordinates of point (2, 7) in inequality (2),

7 < 4(2) + 1

7 < 9

True.

Therefore, point (2, 7) lie in the solution area of system of inequalities.

YES. (2, 7) is a solution of the system.

Related Questions

Isabel finished her history assignment in 1/5 hours. Then she completed her math assignment in 1/2 hours. What was the total amount of time Isabel spent doing these two assignments?

Write your answer as a fraction in simplest form.

Answers

Answer:70/100 or 7/10

Step-by-step explanation:

one hour is 60 mins

1/5 of an hour is 12 mins

1/2 of an hour is 30

30 + 12 = 42

42/60 simplified is 7/10

The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km

Answers

It will take them 2 weeks

Half a number decreased by 25 put into a equation

Answers

a/2-25 i feel like that’s correct ...

Answer:

1/2 - 25

Sana nakatulong

The number 1-50 are placed in a bag. What is the probability of selecting:

A) a number greater than 50______
B) multiple of 5________
C) a prime number _________
D) a composite number_______

Answers

A: 0

B: 10/50

C: 15/50

D: 34/50

Answers:

A)  0B)  1/5 = 0.2C) 3/10 = 0.3D) 17/25 = 0.68

Nearly all of those answers involve a fraction form and an equivalent decimal form.

===========================================

Work Shown:

Part A

The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0

----------------------------

Part B

List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}

Note how 50/5 = 10, which shows there are 10 multiples listed above.

We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2

----------------------------

Part C

The prime numbers between 1 and 50 are:

{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}

There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3

----------------------------

Part D

There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.

We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68

Can someone plz help me with the red #6 the graph is on the screen plz anyone fast ☹️

Answers

The answers is Y=-1x+5
The 1 is negative because it’s going down

Find the value of x. ​

Answers

Answer:

x = 12

Step-by-step explanation:

1) Write an equation of a line that
is parallel to y = -5x + 2 and
passes through (-1, 4).

Answers

Answer:

y=-5x + 4

Step-by-step explanation:

Answer:

y=-5x-1

Step-by-step explanation:

It goes through the point (-1,4)

Ill give brainliest

Describe a situation where you might need to know the percent that something changed.

Answers

Answer:

Change: subtract old value from new value. Example: You had 5 books, but now have 7. The change is: 7−5 = 2. Percentage Change is all about comparing old to new values.

Step-by-step explanation:

hope this helps :)

Answer:

When finding the climate of an area

Step-by-step explanation:

Ex. Rainfall increased 30% since 2019 in florida (not true just an example)

Find the measure of the missing angle.

Answers

Answer:

Hi

U should do like this

90-51=39...

Answer: 39 degrees

Step-by-step explanation:

Right angle is 90 degrees so 51 plus a will equal 90

A is 39 degrees

A little girl is looking to select one crayon and one coloring book to do some drawing. She has 6 different colored crayons and 3 coloring books. How many different combinations of crayons and coloring books can she make if she selects one crayon and one coloring book to use?

Answers

6x3 equals 18 which if she take one crayon & 4 coloring books

(-5,2) and (1,-2) what’s the rise/run?

Answers

Answer:

m= -2/3

Step-by-step explanation:

Use the slope formula to find the slope m .

-3/2 is correctttttttttttttttt

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Answers

Answer:

Domain: Al real values

Range: All real numbers

Step-by-step explanation:

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Given the functions'

f(x)=e^x and g(x)=x+6.

gof(x) = g(f(x))

g(f(x)) = g(e^x)

Substitute x with e^x in g(x) as shown:

g(f(x)) = e^x + 6

The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values

Simplify the following by combining like terms: 10 + 7r+b-4r*
10+ 3r
O 10 + 3r + b
O 13r + b

Answers

10+3r+b
Explanation trust in de way

For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).

Answers

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

Which equation requires the division property of equality to be solved? 201.6 = 11.2 f 35.4 = z divided by 3.1 StartFraction t Over 3.2 EndFraction = 15.1 201.6 = 11.2 + c

Answers

Answer:

c and a

Step-by-step explanation:

Answer:

A for a Edge ppl out dere

Step-by-step explanation:

im right

Two rectangles are similar. The
ratio of the length of rectangle A
to the length of rectangle B
is 1:4. If the length of rectangle
B is 14 meters, what is the
length of rectangle A?

Answers

3.5 meters
length of rectangle A

Can you guys help meh pls

Answers

16500, 1650, ?, 0.165
This pattern is to move the the number to the right by 2 decimal places.
So pattern number 3 is 16.50

simplify 3 to the 2nd power + 1 x 2

Answers

18 i’m pretty sure (:


Convert 60 inches to feet. There are 12 inches in a foot

Answers

Answer:

60/12= 5

5 feet

Answer:

5 feet

Step-by-step explanation:

Divide the length value (inches) by 12.

Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?

Answers

Answer:

11

Step-by-step explanation:

Help I will mark brainliestttt

Answers

Answer:

11 or more

Step-by-step explanation:

55-40=15

160/15=10.666

11 or more

How many solutions will this system of equations have??
Please explain your thinking

Answers

7 because I’m smart and I have the expect same problem


ﾟ+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)


♡━━━━━━━━━♡
︎thank you! ♡´･ᴗ･`♡

Answers

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Help me on this new one please

Answers

4 and 19/20 Yw brainly pleas

which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8

Answers

Answer:

<1 and <8

Step-by-step explanation:

<1 and <8 are alternate angles and has same measurement.


2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side

Answers

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?

a) 3x + 10y = 44
b) 3x + 10y = -50
c) 3x + 10y = -44
d) 3x +10y = 50

Answers

Answer:

a it's a :)

Step-by-step explanation:

Simplify the expression:
4+4+7d

Answers

Answer:

8+7d

Step-by-step explanation:

So forest you combine like terms

4+4=8

There are no longer any like terms so your finished product is 8+7d

HELP!!! NEED ANSWER ASAP!

Answers

Answer:

Yeah he's right...

Step-by-step explanation:

Find the value of x.

Answers

Answer:

81 degrees

Step-by-step explanation:

Step-by-step explanation:

Here,

X+128+100+51=360

X+279=360

X=360-279

:.x=81

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