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

Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

Answer:

[tex]56[/tex] cents

Step-by-step explanation:

If [tex]18[/tex] inches of wire cost [tex]72[/tex] cents, then each inch of wire will cost [tex]\frac{72}{18}=4[/tex] cents. Therefore, 14 inches of wire will cost [tex]14*4=56[/tex] cents. Hope this helps!

Answer:

56 cents

Step-by-step explanation: 72 cents divided by 18= 4 so for one inch of wire it cost 4 cents       Then 14 inches times 4= 56  I think thats

the answer

A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find ​g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!

Answers

Answer:

5484 gallons

Step-by-step explanation:

Given that:

Delivery in 1 day = 457 dozen gallons

g = number of gallons delivered on that day

Recall :

1 dozen = 12

Therefore, the number of gallons delivered in 1 day :

457 gallons * 12 = 5484 gallons

A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?

Answers

Answer:

Ok me la p3l4swkekbdjwkkagdy2hk

====MATH QUESTION====Extra points

Answers

I think the answer is A :) i hope this helps

The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.

Answers

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

Product of square of x and cube of y

Answers

Where’s the image? I don’t see it

pls help will give brainiest
Find the length of A.

Answers

Answer:

5

Step-by-step explanation:

13^2=169

12^2=144

169-144=25

Root 25 is 5

A.) 5
use Pythagorean theorem: a^2+b^2=c^2
plug in the values
x^2+12^2=13^2
Move the 12^2 to the other side
x^2=13^2-12^2
x^2=25
Take the square root from both sides
x=5

Ivan has 17 times as many nickels as Nicole.Select the variable expression that shows how many nickels Ivan has if n is the number of nickels that Nicole has.

Answers

Answer:

17 n

Step-by-step explanation:

Ivan has 17 times as many nickels as Nicole.

Let Nicole has n nickels.

It would mean that,

No. of nickels Ivan have = 17n

Hence, there are 17n nickels Ivan has.

Answer:

17n

Step-by-step explanation:

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

So it shows that B is 20, and this is a right triangle, so O is more than likely equal to P. So you would multiply 20 by 29 to get your answer. This would be 580. I’m pretty sure this is right if not close. I’m so sorry of wrong.... but good luck! :)))

Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END

Answers

Hmmm ik it’s called the hot dog method

Please help


Complete the square for the following equation x^2-18x

Answers

Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math


Write 8 x 10^-4 in standard notation.

Answers

Answer:

0.0008

Step-by-step explanation:

[tex]8 \times {10}^{ - 4} = 0.0008[/tex]

the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club

Answers

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

Learn more details about  line here:

https://brainly.com/question/2696693

#SPJ1

What is the correct equation to solve for x ?

Answers

x=15.96

x=17.6

x=11.81

x=12.23

if you increase an amount by 3 percent what is the single multiplyer

Answers

1.03 should be the answer

Answer:

1.03% is the answer

Step-by-step explanation:

Someone pls help what would this slope be ?

Answers

Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

What is the value of the growth factor of the function?
A) 1/5
B) 1/3
C) 2
D) 6

Answers

Answer:

B

Step-by-step explanation:

Divide 18 by one third and see what ya get

then 6, then 2. BOOM!

Thissss answerrrrrrrrrrrrrrrrrrr

Answers

Answer: J. Five Ones.

pls help meh on this ty u get brian

Answers

Answer:

2 to the power of 7

Step-by-step explanation:

Since base equal base then subtract the powers

12-5 =7

The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.

Find the equation of the parabola

Answers

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )

if a car travels 120 miles in 4 hours. what is its speed per hour

Answers

Answer:

v = 30 km/h

Step-by-step explanation:

Given that,

Distance covered by a car, d = 120 miles

Time, t = 4 hours

We need to find the speed of the car. The speed of an object is equal to the distance covered divided by the time taken. It can be given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{120\ \text{miles}}{4\ \text{hour}}\\\\v=30\ \text{mph}[/tex]

So, the speed of the car is 30 km/h.

Here is a number line write down the inequality shown on the number line

Answers

Answer:

[tex] - 3 < x \leqslant 2[/tex]

Answer:

-3<p<2

Step-by-step explanation:

simplify the equations below

Answers

Answer:

Problem 1:  1/64x^8

Problem 2: y^8/9x^2

Step-by-step explanation:

In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.

For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.

Answer:

1/64x^8 and y^8/9x^2

Step-by-step explanation:

hope this helps have a good night :)

a half of 48 divided by6multiplied by4 plus 3 minus 2

Answers

Answer:

17

Step-by-step explanation:

follow the order of operations (PEMDAS):   half of 48 is 24

24 / 6 = 4

4 x 4 = 16

16 + 3 = 19

19 - 2 = 17

Answer:

17

Step-by-step explanation:

half of 48 is 24

24 divided by 6 is 4

4× 4= 16

16+3= 19

19-2=17

Which of the following represents the solution to the equation 4x - 2 = 10?

Answers

Answer:

the top option

Step-by-step explanation:

solve 4x - 2 = 10 and you get

4x = 12

x = 3

this means there is only one solution and only 3 should be filled in

I WILL GIVE YOU BRAINLY PLSS


Victor scored a 9, 7, and 10 on his first three math tests. What score must he get
on his fourth test to have a score of at least 34 points?
A. ≥ 8
B. 9
D. > 8


PLSS SHOW YOUR WORK PLSS

Answers

Answer:

9

Step-by-step explanation:

9+10+7=26. 9+26=35 so he has 35 points which is more than 34. hope this helps

The black graph is the graph of y=f(x). Choose the equation for the red graph.

Answers

Answer:

y-1 = f(x)

Step-by-step explanation:

Here, we want to choose the equation for the ref graph

The red graph as we can see is above the black

This means it is more positive

The difference between the two is just 1 unit

By the addition of 1 to the y-value of the black graph, we get the red

Thus, we have that;

y- 1 = f(x)

What is the geometric mean of 7 and 56

Answers

19.7989898732 or to simplify it 19.79
19.79 is the answer to your question
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