Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set

Write A System Of Inequalities To Match The Graph And Prove That The Coordinate Point (-10, -14) Is In

Answers

Answer 1

Answer:

y < x - 2

y ≥ 2x + 5

Step-by-step explanation:

For the equation of the dotted line,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the dotted lines passes through the points (-7, -9) and (2, 0)

Slope = [tex]\frac{-9-0}{-7-2}[/tex]

    [tex]m_1[/tex] = 1

Therefore, equation of the line passing through (2, 0) and slope = 1 will be,

y - y' = m₁(x - x')

y - 0 = 1(x - 2)

y = x - 2

Since, shaded area is below the dotted line,

y < x - 2 will be the inequality.

Slope of the solid line passing through (-7, -9) and (0, 5) is,

[tex]m_2=\frac{-9-5}{-7-0}[/tex]

     = 2

Therefore, equation of the line passing through (0, 5) and slope = 2 will be,

y - 5 = 2(x - 0)

y = 2x + 5

Since, the given line is a solid line and shaded area is above the line,

y ≥ 2x + 5 will be the inequality.

Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.


Related Questions

Solve 5x - 4< 2x + 5. Enter your answer as an inequality.

Answers

Answer:

x < 3

Step-by-step explanation:

5x - 4 < 2x + 5

Subtract 2x from both sides

5x - 4 - 2x < 2x + 5 - 2x

5x - 2x - 4 < 2x - 2x + 5

3x - 4 < 0 + 5

3x - 4 < 5

Add 4 to both sides

3x - 4 + 4 < 5 + 4

3x < 9

Divide both sides by 3

3x/3 < 9/3

x < 3

Twelve more than x is greater than fourteen

Answers

X=3 because x has to be greater than 14 so 2 is not enough but 3 makes it so that the number would be 15. So x=3.

Answer:

x > 2

Step-by-step explanation:

12 + x > 14

x > 14 - 12

x > 2

If (7^ 0)=1what are the possible values of x

Answers

Answer: 1

Explanation: anything to the power of 0 is 1 so if it is x to the power of 0 it would be 1

Answer: I would say that any number

Step-by-step explanation:

I think so because any number to the 0 power is going to be 1.

For example: 6^0=1 21^0=1

Hope it helped!! ;)

How many at-bats did the player have?

Answers

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

3.) Yvonne's hourly wage is raised from $11.09 per hour to $12.35 per hour. She works 40 hours
per week. How much more does she earn per week at the new rate?

Answers

Answer: She earns 50.4 much than she did on her other pay per hour.

Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.

Hope this helps. :)

its a image, i attached here.

Answers

Answer:

Step-by-step explanation:

First expression

54+11 =65

second expression

7x+13x= 20x

Third expression

(7x+54)+(13x+11)

7x+54+13x+11    

(7x+13x)+(54+11)      

20x+65

Fourth expression

In your own opinion, how does the problem in the middle relate to the problems on the side?

from the above first two expression

first value of each expression was combined to make 7x+54

second value of each expression was combined to make 13x+11

ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?

Answers

It’s true because of the a

Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough colories to lose 4 pounds per week, then how many weeks will poss before Mr. Andrews weighs 228 pounds? Variable: bit bin Solutions​

Answers

Answer:

6.5

Step-by-step explanation:

it will take Me. andrews 6.5 weeks to get to 228 pounds

andrea is three times older than eliza. suzie is 4 years older then eliza. if eliza's age can be represented by x, create an expression that represents the combined age of all three girls

Answers

Answer:

Combined age = 5x+4 years

Step-by-step explanation:

let Eliza's age be x

given that Andrea is three times older than Eliza, hence Andrea's age is

= 3x years

it is also given that Suzie is 4 years older than eliza, hence Suzie's age is

= (x + 4) years

Therefore the combined age

= Eliza's age + Andrea's age + Suzie's age

= x   +   3x     +     (x+4)

= x + 3x + x + 4

= 5x + 4

A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

D. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

80 + (-25) =
integers

Answers

The answer is 55 because 80-25=55.

Adding a negative is the same as subtracting a positive number.

80 + (-25)

80 - 25

= 55

Best of Luck!

I need to change the subject to x

Answers

(x - 4y) / w = 9

Multiply both sides by w

x - 4y = 9w

Add 4y to both sides

x = 9w + 4y

Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)

Answers

Step-by-step explanation:

(f o g)(x)

= f(g(x))

= f(2x - 3)

= |2x - 3|

17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)

Answers

Answer:

A) f(n) = 12 + 2(n-1)

Step-by-step explanation:

Arithmetic Sequence Formula:

a(n) = a(1) + (n-1)d

d = 2

a(1) = 12

a(n) = 12 + 2(n-1)

Answer:

Step-by-step explanation:

A) f(n) = 12 + 2(n-1)

If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)

Answers

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

The cost of  building the new road is $4,160,000.

Calculation of the cost of building:

here we determine the length by using the Pythagorean Theorem.

So,

[tex]c^2 = a^2 + b^2[/tex]

Here

c is the longest leg

And, a and b are the 2 other legs of the ∆.

Now

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

So,

[tex]c^2 = 24^2 + 10^2[/tex]

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Now the cost should be

= 160,000(26)

= $4,160,000

learn more about cost here: https://brainly.com/question/18313009

Figure STOP is reflected about the y-axis to obtain figure STO′P: A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5. Which statement best describes the relationship between the two figures? (4 points) The measure of angle S is equal to the measure of angle P′. The measure of angle P is equal to the measure of angle T′. Figure STOP is congruent to figure S′T′O′P′.

Answers

Answer:

Figure STOP is congruent to figure S′T′O′P′.

Step-by-step explanation:

I just took the test

Answer:

Figure STOP is congruent to figure S′T′O′P′.

Step-by-step explanation:

Just finished test and got 100%

what is the expression equivalent to 5(6+4)​

Answers

Answer:

2(15+10)

Step-by-step explanation:

when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.

Answer
50
How to get it
So start to add in the parenthesis 6+4 is 10
Then erase the parentheses since we got the answer but turn it into an multiplication sign
5 times 10 is 50
Hope this helped :)

A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the triangle is translated 3 units right and 4 units up?

Answers

Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

Find the Slope using the Slope Formula 1. (8.6).(2-8)​

Answers

Answer: 2.3 repeating

Please mark me as Brainliest

8×4-5×(3⅕-2½)+(4-1)²​

Answers

Answer:

101/2

Step-by-step explanation:

Answer:

75/2

Step-by-step explanation:

Simplify the following:

8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2

Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:

8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2

2×2 = 4:

8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2

4/2 + 1/2 = (4 + 1)/2:

8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2

4 + 1 = 5:

8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2

Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:

8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2

10×3 = 30:

8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2

5 (-5) = -25:

8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2

30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:

8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2

30 + 2 = 32:

8×4 - 5 (32 - 25)/10 + (4 - 1)^2

| 2 | 12

| 3 | 2

- | 2 | 5

| 0 | 7:

8×4 - 5×7/10 + (4 - 1)^2

-5×7/10 = (-5×7)/10:

8×4 + (-5×7)/10 + (4 - 1)^2

The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:

8×4 + (-1×7)/2 + (4 - 1)^2

4 - 1 = 3:

8×4 - 7/2 + 3^2

8×4 = 32:

32 - 7/2 + 3^2

3^2 = 9:

32 - 7/2 + 9

Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:

(2×32)/2 - 7/2 + (2×9)/2

2×32 = 64:

64/2 - 7/2 + (2×9)/2

2×9 = 18:

64/2 - 7/2 + 18/2

64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:

(64 - 7 + 18)/2

| 1 |  

| 6 | 4

+ | 1 | 8

| 8 | 2:

(82 - 7)/2

| 7 | 12

| 8 | 2

- | | 7

| 7 | 5:

Answer: 75/2

A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?

Answers

Answer: 0.04

Step-by-step explanation:

Number of trips (n) = 40

Red = 30 seconds, Green = 30 seconds

P(red) = p(green) = 30/ (30+30) = 0.5

P(not red) = p(not green) = 1 - 0.5 = 0.5

P(x) = nCx * p^x * (1-p)^(n-x)

n = number of trials

x = number of outcome desired

P = probability of success of desired outcome

P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)

Hence, to save computation time, we use the binomial distribution probability calculator :

P(X > 25) = 0.04

find the domain of the function, picture included

Answers

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

which is right??????

Answers

Answer:

Point D

Step-by-step explanation:

To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D

Find the next two terms of the sequence 1,5,14,30,50,...

Answers

Answer:

If the number were 55, then the next number is 72

Step-by-step explanation:

I think you wrote the number wrong?

Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200

Answers

Answer:

  - 250

Step-by-step explanation:

Pick two points along the line of the graph

(4,7000) and (8,6000)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (6000-7000)/(8-4)

    -1000/4

   - 250

Answer:

-250

Step-by-step explanation:

Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity

Answers

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

For more about the equation,

brainly.com/question/10413253

#SPJ6

I need help on this assignment

Answers

Answer:

11. X'( 1 , 6 )

12. Y'( 5 , 1 )

13. Z'( 6 , 4 )

14. X"( -1 , -6 )

15. Y"( -5 , -1 )

16. Z"( -6 , -4 )

Only had time for the coordinates-!

A line passing through the points (6,-2) and (-2,4). Complete the work shown

Answers

Answer:

2.5

Step-by-step explanation:

Find the decimal that is equivalent to: 3/11
A: .27
B:0.3
C: 3.6
D: 0.27

Answers

the answer is D 0.27

Answer:

D

Step-by-step explanation:

What are the coordinates of r

Answers

the coordinates of r is ( 4, -1 )
The coordinate of r is (4,-1)
Other Questions
If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) (4x+43) (x^2+1) What is the absolute value of -10? How do you know this? please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp please Choose the answer that is true about factors that can influence a writer's style. A. The intended audience affects style, and writers should choose a style that will appeal to them. B. There is only a loose connection between genre and style; each writer has his or her own style. C. Writers can choose whether to write in a formal or informal manner depending on their personal style. D. Conventions of a genre are difficult to pinpoint, and most writers ignore them. name the blood vessels that convey blood to the brain Explain what the South African government is doing to promote equal access to basic services suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. What are the integers? Handsaw teeth are very sharp: to avoid being cut by the teeth, keep hands and fingers well away from thepath of the blade 1. Round off each of the following to the nearest whole number.(a) 8.71(b) 26.01(c) 69.48(d) 103.72(e) 49.84(f) 101.35(g) 39.814(h) 1.23 What other country do you think provides more freedom and opportunities than the United States? What is 24% of 162.5? Which statement best explains the value of 18 (5)? The additive inverse of 5 is +5, so 18 (5) = 23. The additive inverse of 5 is 5, so 18 (5) = 23. The additive inverse of 5 is 5, so 18 (5) = 13. The additive inverse of 5 is +5, so 18 (5) = 13. A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tablesseat 6. Let x represent the number of large tables and y represent the number of small tables. Theexpression 10A +6B, which represents the total number of people you can seat using a large tables andB small tables, is called a linear combination. For instance, 150 people could be seated using 3 largetables and 20 small tables. Use that expression to enter an equation in standard form that models all thedifferent combinations of tables the restaurant could use. Then identify at least one possible combinationof tables other than (3, 20).The equation isAnother possible combination is). What is the Regional Term for the back of your head? How would I start this question?Btw I need to find the X and the Y ASAP MULTIPLE CHOICEWhat makes a balanced lifestyle so important to health?It allows one to get enough sleep at night.It protects one from any possible injury while exercising.It ensures one of immunity against seasonal illnesses.It provides the opportunity to try various world cuisines. Which sentence contains a present tense verb?A.Who will care for Megan after school?B. Megan's older sister cared for Megan when she was smal.OC. Megan cares for her younger sister after school. What are 2 of the natural resources found in Kansas and Missouri? *WILL GIVE BRAINLIEIST! can someone tell me if these are in preterite tense and written correctly? El mes pasado nosotras fuimos a comer a un restaurante. El mes pasado, sal a correr con mi perro. El mes pasado mi mam me tuvo limpiar mi habitacion. Cuando estuve aburrida tuve que leer unos libros. El mes pasado al abrir un armario encontre mis ropas de cuando era pequea. What is the value of y? 3y = 5x+8Simplify it in y = mx + bForm