Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20

Answers

Answer 1

Answer:

  It is a solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

  4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

  -2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.

Is (-4,4) The Solution Of The System. 4x+5y>-6 And -2x+7y>20

Related Questions

i need help please for this picture

Answers

Answer:

3,500

Step-by-step explanation:

The community center has a pottery class each month. Each student pays​ $15 for the class and​ $27 for materials. This month the pottery class brought in a total of​ $714. How many students are in the class this​ month?

Answers

Answer:

17

Step-by-step explanation:

$15+$27=$42

$712 divided by $42 is 17 meaning there are 17 kids in the class.

What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
units

Answers

Final answer:

The distance between the points (-5,3) and (1,-1) is found using the distance formula and is approximately 7.2 units when rounded to the nearest tenth.

Explanation:

To find the distance between two points (-5,3) and (1,-1), we can use the distance formula: √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we get the distance as √((1 - (-5))² + (-1 - 3)²) = √(6² + (-4)²) = √(36 + 16) = √52. To round to the nearest tenth, we calculate √52 and find it is approximately 7.2. Therefore, the distance between the points, rounded to the nearest tenth, is 7.2 units.

Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).

2x^2−5x+1=0



Enter your answers in the boxes.

x =
or x =

Answers

x=2.28
x=0.21 ........

The solutions to the quadratic equation are x= 0.22 and x= -0.22.

The given quadratic formula is 2x²-5x+1=0.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

Here, x= [5± √(25 - 4×2×1)]/2×2

x= [5± √(25 - 8)]/4

x= (5± √17)/4

x= (5± 4.12)/4

x= 0.88/4 and x= -0.88/4

x= 0.22 and x= -0.22

Therefore, the solutions to the quadratic equation are x= 0.22 and x= -0.22.

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Compare the period of y = 2x with the period of y= sin x

Answers

Final answer:

The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.

Explanation:

The period of a function is the length of the interval over which it repeats.

The function y = 2x is a linear function, not a periodic function, and thus does not have a period.

In contrast, the function y = sin x is a periodic function and has a period of 2π radians.

This means that the sine function repeats its values every 2π radians.

Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.

Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table
below and used the shaded columns to calculate three sample means. What is the range of the values for the sample
means?
Hours of Swim Practice
ON
00
5

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

What is the surface area of the triangular prism?
square feet ___

Answers

1.35 or if not jus add first & then multiply them

Answer: 168 because (9 × 6) + (9 × 5) + (9 × 5) + (6 × 4 × 0.5) + (6 × 4 × 0.5)  equals 168 :) good day humans

What is the mean price for the sneakers?

Answers

Answer:

38

Step-by-step explanation:

You need to add all of numbers together and then divide by the total number of numbers.

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.



What type of function is represented?

exponential
quadratic
linear
logarithmic

Answers

Answer:

quadratic

Step-by-step explanation:

i just took it on edge

Answer:

Step-by-step explanation:

Find the length of arc AB. leave your answers in terms of pi

Answers

Answer:

arc AB = 60°

Step-by-step explanation:

The diameter splits the circle into two semi circles.

in the semicircle above the diameter, you can do 180° - 120° = 60°

so arc AB = 60°

( I'm sorry; I'm not sure how to get the answer in terms of pi. )

Need Help What is l9l

Answers

Answer:

the absolute value of l9l is 9

Step-by-step explanation:

because if you look on a number line when you are calculating the absolute value it is how many numbers away from zero so it is always positive.

Answer: +9

Step-by-step explanation: When an integer is written with vertical bars on either side, it means that we take the absolute value of that integer.

The absolute value of an integer is its

distance from zero on a number line.

|9| is +9 because it's 9 units from zero on the number line.

Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer:

5 units.

Step-by-step explanation:

For this problem, you will need to use the distance formula. The distance formula is as shown:

d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]

We can plug in the points which would result in:

d=  [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]

When solved:

d= [tex]\sqrt{25}[/tex]

d= 5 units

A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25%

Answers

Answer:

75%

Step-by-step explanation:

20+55=75

so 75/100 or 75%

hope this helped! :)

Answer:

it's 75%

Step-by-step explanation:

i dont know the answer please help me​

Answers

the answer is D). X>_2

Which expression is a factor of x2 – 9x + 14?
A not factorable
B (x + 2)(x - 7)
C (x-2)(x + 7)
D (x-2)(x - 7)

Answers

Answer:

x² - 9x + 14 = (x - 2)(x - 7)

The correct answer is D.

I need help ASAP!!!!

Answers

Answer:

A

Step-by-step explanation:

1/1-2/5

the answer would be A: 1/5 gallon per minute

What is the solution of the system of equations shown in the graph below?

Answers

(-1, -2) is your answer if the key is by ones. To find the solution of the system of equations, you find the coordinates of the point in which the two lines given are join or meet.

Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

A 12 foot ladder is placed 4 foot from the bottom of the house. How high will the ladder reach the house?

Answers

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]

Hence, the ladder reaches 11.31 ft height of the house.

An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vitamin c is left after 6 hours?

Answers

Answer:

1

Step-by-step explanation:

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6

Answers

Answer:

-6 is the slope

Step-by-step explanation:

y = −6x + 5

This is of the form

y = mx+b where m is the slope and b is the y intercept

-6 is the slope and 5 is the y intercept

The difference in their ages is 12 and the sum of their ages is 50. Find the age of each. Jim is older than Ken.

Answers

Answer:

REMA = 31

KEN = 19

Step-by-step explanation:

Let R be Rema

Let K be Ken

 

 

R+K = 50

R-K= 12

 

R-12= K

 

R+ R-12= 50

2R= 50+12

2R= 62

R= 31

 

R- 12= K

31-12= K

19= K

Which number line shows the solution set for |8 - 2p| = 6
A) Number Line 1
B) Number Line 2
C) Number Line 3
D) Number Line 4

Answers

Answer:

B) And D)

Step-by-step explanation:

8-2x1 = 6

Option B number line shows the solution set for |8 - 2p| = 6

What is number line?

A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.

According to the question the given expression is  |8 - 2p| = 6

Here the value of "p" is unknown. We have to assume a number and equate it to 6.

Let "p" be ±2, On applying ±2 in the set  |8 - 2(±2)| =0

so not ±2

Now assume ±1, On applying ±1 in the set  |8 - 2(±1)| =6

Value ±1 is shown in the 2nd number line.

Thus the correct option is B

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What is the simplified form of this expression? (8x − 7) + (-2x − 9) − (4x − 3) A. 2x – 13 B. 2x − 19 C. 2x − 5 D. 2x + 1

Answers

Answer:

A. 2x-13

Step-by-step explanation:

if there are 10 apples in the fridge and 7 on the table what is the ratio of apples in the fridge to apples on the table​

Answers

Answer:

The correct answer would be 10 : 7

( OPINION ) I say this because we are comparing the apples in the fridge(10) to the apples on the table(7).

I hope this was helpful :3

STAY SAFE!! :)

Final answer:

The ratio of apples in the fridge to apples on the table is 10:7. This is calculated by dividing the number of apples in the fridge by the number on the table.

Explanation:

The question asks for the ratio of apples in the fridge to the apples on the table. In order to solve this, you need to understand what a ratio is. A ratio is a way of comparing quantities. Here, the quantity being compared is apples: those in the fridge versus those on the table.

To calculate the ratio, you simply divide the first quantity by the second quantity. So in this case, you have 10 apples in the fridge and 7 apples on the table.

The ratio is therefore 10/7. This can also be written as 10:7.

Learn more about ratios here:

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What does (3x-1)^2 equal?

Answers

Look at the attached picture

Hope it will help u ....

It would be 3e^2 x-e^2 I believe


If you were a college professor taking a survey of how many hours of
homework students were assigned, which visual tool would you use if you
organized students in hour ranges?
A. Line plot
B. Bar graph
C. Frequency table
D. None of the above

Answers

Final answer:

If I were a college professor taking a survey of how many hours of homework students were assigned and I wanted to organize the data by hour ranges, the visual tool that I would use is C) a frequency table.

Explanation:

A frequency table would be the best visual tool to organize students in hour ranges for a survey of how many hours of homework students were assigned.

A frequency table is a way to organize data into different intervals, or ranges, and count how many data points fall into each interval. In this case, I would create intervals such as 0-1 hour, 1-2 hours, 2-3 hours, and so on, and then count the number of students assigned homework in each interval. This would give me a clear picture of the distribution of homework hours among the students. Therefore the correct answer is C) a frequency table.

Find the slope of the line that goes through the points (-3, -4) and (0, -1).

A. LaTeX: \frac{4}{3}4 3

B. -1

C. LaTeX: \frac{3}{4}3 4

D. 1

Answers

Answer:

D

Step-by-step explanation:

The slope is the change in y-coordinates divided by the change in x-coordinates.

Here, the y-coordinates are -4 and -1, and the x-coordinates are -3 and 0, so:

slope = m = (-4 - (-1)) / (-3 - 0) = -3 / -3 = 1

The slope is thus 1, so the answer is D.

We can use the points (-3, -4) and (0, -1) to solve.

Slope formula: y2-y1/x2-x1

= -1-(-4)/0-(-3)

= 3/3

= 1 (Option D)

Best of Luck!

Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:

the numbers formed must be divisible by 25

or

the odd digits must occupy even positions (i.e. 2nd, 4th, and 6th) and the even digits must occupy odd positions (i.e. 1st, 3rd and 5th)

Answers

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit.

Answers

Answer:

47 inches.

I hope this helped!! :3

Edit- to find the height of a rectangular prism with a known volume, use the formula

V= AH.

3995= lwH

3995= 85h

If you don’t have the area, multiply the width and the length of one side to get that value.

a round clock has a radius of 5 cm. what is the approximate area of the clock? use 3.14

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

The area of a circle can be found using:

[tex]a=\pi r^2[/tex]

We know that the radius is 5 cm. We also know that we are using 3.14 for pi. Therefore, we can substitute 5 in for r, and 3.14 in for pi.

a=3.14*5^2

Evaluate the exponent

a=3.14*(5*5)

a=3.14*25

Multiply

a=78.5

The area of the clock is 78.5 cm^2

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