Graph the solution to the system
-x+y>2
X+2y>2

Answers

Answer 1

Answer:

[tex]\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}[/tex]

Step-by-step explanation:

Step 1: Solve the system of equations

[tex]\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}[/tex]

Isolate [tex]y[/tex] for [tex]-x+y>2[/tex]

[tex]\mathrm{Add\:}x\mathrm{\:to\:both\:sides}[/tex]

[tex]-x+y+x>2+x[/tex]

[tex]y>2+x[/tex]

Isolate [tex]y[/tex] for [tex]x+2y>2[/tex]

[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]

[tex]2y>2-x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}[/tex]

[tex]y>\frac{2-x}{2}[/tex]

[tex]\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}[/tex]

Step 2: Graph

Instructions for graphing:

[tex]\mathrm{1.\:Graph\:each\:inequality\:separately.}[/tex]

[tex]\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}[/tex]

[tex]3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}[/tex]

When done, it should look like this:

Graph The Solution To The System-x+y>2X+2y>2

Related Questions

What is 7C3? Thanks.

Answers

Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

Answer:

7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!

= Homework: Mo...
Ben bowled 122 and 188 in his first two games. What must he bowl in his third game to have an average of at least 160?
HOM

Answers

Answer:

i think its 195 but i am not for sure correct me if i am wrong

Step-by-step explanation:

it would 170
if you want to find the average of something you want to add up all the numbers and then divide that number by the amount of number there is
so for this i did (122+188+170)/3 which equals 160

hey guys I could really use some help on this.

Answers

Answer:

y = - [tex]\frac{10}{3}[/tex] x - 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )

m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then

y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 3 ) , then

- 3 = 20 + c ⇒ c = - 3 - 20 = - 23

y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line

Answer:

y= -10x/3 + 1

Step-by-step explanation:

gradient of a line= (Y2-Y1)/(X2-X1)

= (-3-7)/[-6-(-9)]

=-10/3

equation of a line

(Y-Y1)/(X-X1)= gradient

(Y-7)/(X+9)= -10/3

3(Y-7)= -1d0(X+9)

3y-21= -10x -19

3y= -10x + 3

dividing both sides by 3

y= -10x/3 + 1

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

Look at the top questions. Pls I need help asap I don’t get it

Answers

X is the bottom and y is the left side an it should be straight

Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?

Answers

Probabilities are used to determine the chances of events.

The given parameters:

[tex]n = 5[/tex] ---- the number of candy bars

[tex]p = 40\%[/tex] ---- the probability of selling a candy bar

(a) Name distributions

The distribution of X is represented as:

[tex]X \sim(r,p)[/tex]

Where:

[tex]r = 5[/tex]

[tex]p= \frac{5\times 40\%}{10}[/tex]

[tex]p= 0.2[/tex]

So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]

(b) The probability that the last candy is sold at the 11th house

This means that:

[tex]n = 10[/tex] --- the number of previous houses

[tex]r = 4[/tex] --- the previous number of candies

[tex]p = 0.4[/tex] --- the given probability of selling a candy

The probability is calculated using:

[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]

This gives

[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]

[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]

[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]

[tex]P(x = 11) = 0.1003290624[/tex]

Approximate

[tex]P(x = 11) = 0.1003[/tex]

Hence, the probability that the last candy is sold at the 11th house is 0.1003

(b) The probability he sells the candies on or before the 8th house

The probability is calculated using:

[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]

This gives

[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]

[tex]P(x = 11) = 0.1737[/tex] ---- approximated

Hence, the probability he sells the candies on or before the 8th house is 0.1737

Read more about probabilities at:

https://brainly.com/question/251701

(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: 1 m
(b) The area of a rectangular painting is 8712 cm?
If the width of the painting is 88 cm, what is its length?
Length of the painting: 1 cm

Answers

Answer:

(a) 63               (b) 99

Step-by-step explanation:

(a)

length x 2 = 150

275-150=126/2= 63

(b)

8712/88= 99

Write the following phrases as ratios in lowest terms. 1) 3 out of 8 balloons, 2) 5 losses to 7 wins,3) 4 girls to 5 boys,4) 6 books for every 18 students, 5) 2 cars to 3 trucks,6) 11 out of 18 games​

Answers

Answer:

1) 3:8

2)5:7

3)4:5

4)1:3

5)2:3

6)11:18

TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!

Answers

Answer:

d x 7 = 105

Step-by-step explanation:

Keith bought 4 new baseball trading cards to add to his collection. The next day his dog at half of his collection. There is now 25 cards left. How many cards did Keith start with?

Answers

Keith started with 42 cards.

Answer:

46 cards

Step-by-step explanation:

We can use a variable to represent the starting amount of cards: (x)

Keith bought 4 new cards: (+4)

His dog ate half of the collection: (x/2)

There are now 25 cards: (=25)

So we can use this expression to find the starting amount: (x+4)/2=25

Start by multiplying both sides by 2 to get rid of the (x/2).

Now subtract 4 from both sides to get rid of the (+4).

Finally, we know x= 46

Thus, Keith started with 46 cards.

Expand and simplify 4(x-3)+3(2x-5).

Answers

[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]

Choose the symbol that correctly compares the fractions below.

Answers

Answer:

[tex] \frac{1}{8} < \frac{2}{7} [/tex]

1/8 < 2/7

Answer: B

#CarryOnLearning

A circle has a radius of 2/2 units and a center at (-5, 1). Which point is located on the circle?
(-3,1)
(-3,2)
(-3,3)
(-3,4)

Answers

Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)

Domain and Range from this functions

F(x)= (1/4x-1)^3 +2

Answers

Answer:

Domain:(−∞,2)∪(2,∞),{x|x≠2}

Range:(−∞,0)∪(0,∞),{y|y≠0}

Please look for the question in the picture.

Answers

Answer:

I beleive the missing value is -3

Step-by-step explanation:

if you plug -3 into the pink box it will give you the result of -5

(anyone is free to correct me)

f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).

Answers

[tex]\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)[/tex]

In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.

Answers

Step-by-step explanation:

happy to you are you happy

Please help ASAP!!! Will give 10 pts!!​

Answers

A. Mixed
B. Proper
C. Mixed
D. Proper
E. Improper
F. Improper
G. Improper
H. Mixed
I. Improper
J. Improper
K. Mixed
L. Mixed
M. Proper
N. Proper
O. Mixed

Which angle is this could u plz tell​

Answers

Step-by-step explanation:

please, this is so easy !

so, please, burn this into your brain forever : the sum of all angles in a triangle is always (really, always) 180°.

so,

180 = 25 + 100 + A

A = 55°

ΔABC has: ∠CAB + ∠ABC + ∠ACB = 180°

so:  ∠CAB = 180° - ∠ABC - ∠ACB = 180° - 100° - 25° = 55°

ANSWER: ∠CAB = 55°

ok done. Thank to me :>

Help help math math math

Answers

Answer:

[tex]\displaystyle m = 3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (8, 1)

Point (11, 10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{10 - 1}{11 - 8}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{9}{3}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 3[/tex]

Answer:

m=3

Step-by-step explanation:

PLEASE HELP ASAP mark brainlist

Answers

Answer:

whats the question, tell me it and i'll help you

Step-by-step explanation:

Factor the expression completely: 4x - 48
-
A) 2x - 12
B) 2x - 48
C) 4(x + 12)
D) 4(x - 12)

Answers

Answer:

D

Step-by-step explanation:

D) 4(x-12) because math

someone pleaseeee answer!!!

Answers

Answer:

7.79

Step-by-step explanation:

in 30, 60, 90 triangle, hypotenuse is equal to "2x", shortest length is equal to "x" and second longest is equal to "x × square root of 3". hope this helps

Find the least common denominator for these fractions. Enter your answer in
the space provided.

Answers

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

what is the slope of (-1,-2) and (-2,2)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,-2)~~ \text{and}~~ (x_2,y_2) = (-2,2)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{2 -(-2)}{-2-(-1)} = \dfrac{2+2}{-2+1} = \dfrac{4}{-1} = -4[/tex]

-4 used slope formula y2-y1/x2-x1
2--2/-2--1 =4/-1 or -4

Can anyone please help? im running out of time and im so confused.

Answers

Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

I need help with this math problem please... 6x+2 if x=3

Answers

Answer:

20 is answer, hope it helps ypi

Answer:

20

Explanation:
6x + 2 if x = 3
6(3)+2
18+2 =20

You only have to substitute x

Hope this helps!

Evaluate g(10) of g(x) =1/2x -4

Answers

Answer:

g(x)= 1

Step-by-step explanation:

[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]

One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.

Answers

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex]. To find the y-intercept, substitute in  [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .

[tex]f(x)=y[/tex]

[tex](x)=x[/tex]

x-intercept

To find the x-intercept(s), substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex] .

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]

[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]

[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]

[tex]=0=10x^3-80x^2+65x+525[/tex]

[tex]=10x^3-80x^2+65x+525=0[/tex]

[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]

[tex]\bold{x\approx \:-1.99007\dots}[/tex]

y-intercept

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]

[tex]=y=0-0+0-\left(-52.5\right)[/tex]

[tex]=0-0+0+52.5[/tex]

[tex]\bold{y=52.5}[/tex]

-8 = m/3 + 2

Solve the equation.
m=?
Please explain using 2-step version

Answers

-8 = m/3 + 2

Subtract 2 from both sides

-10 = m/3

Multiply both sides by 3

M = -30

Answer:

[tex]m=-30[/tex]

Step-by-step explanation:

[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation

[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction

[tex]-24=m+6[/tex]

[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"

[tex]-30=m[/tex] <-- Final Solution

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