1. Is the equation true, false or open? Explain. 8 + 4 = -5 + 7
2. Which ordered pair is a solution of the equation y = -11x + 4? Make sure you show work! a.
(0,-7) b.(-1, -7) c, (1, -7) d. (2,26)
3. Complete the table and state the rule.

1. Is The Equation True, False Or Open? Explain. 8 + 4 = -5 + 72. Which Ordered Pair Is A Solution Of

Answers

Answer 1

Answer:

1. False

2. c. (1, -7)

3. Input= 1 and 4; Output=6, 12 and 18. The rule is the input×3

Step-by-step explanation:

1. 8+4=±5+7

8+4= 12 & ±5+7= 2

The left side  12  does not equal to the right side  2 , which means that the given statement is false.  

2. I'm not sure how to show my work.

3.

Input: 0, 1, 2, 3, 4, 5, 6

Output: 0, 3, 6, 9, 12, 15, 18

0×3=0; 1×3=3; 2×3=6; 3×3=9; 4×3=12; 5×3=15; 6×3=18

Answer 2

1. The equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

3. The rule for the table is to square the input and add 3.

Why is the equation false?

1. Given

8 + 4 = -5 + 7

12 = 2

The left side of the equation is 12, and the right side of the equation is 2. 12 is not equal to 2, so the equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

To see this, we can substitute the x-value of -1 into the equation and solve for y:

y = -11(-1) + 4

y = 11 + 4

y = 15

We can also substitute the y-value of -7 into the equation and solve for x:

-7 = -11x + 4

-11x = -11

x = 1

Therefore, the ordered pair (-1, -7) satisfies both sides of the equation, so it is a solution.

The other ordered pairs do not satisfy both sides of the equation. For example, if we substitute the x-value of 0 into the equation, we get y = 4, which does not equal -7.

3. The rule for the table is square the input and add 3.

To see this, we can look at the first few rows of the table:

Input | Output

-------|--------

0      | 3

3      | 12

9      | 28

We can see that squaring the input and adding 3 gives us the output for each row. For example, squaring the input of 0 gives us 0, and adding 3 gives us 3, which is the output for the first row.

We can also see that this rule works for all of the rows in the table. Therefore, the rule for the table is to square the input and add 3.

Here is the completed table:

Input | Output

-------|--------

0      |    3

3      |    12

9      |    28

16     |    45

25    |    64

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Related Questions

URGENT!! PLEASE ANSWER!
After completing the wood trim on her kitchen​ cabinets, Candice has 38 inches of trim left. She decides to make a picture frame out of the wood. She wants to make the frame so that the length is 5 inches less than three times the width. What must the dimensions​ be?

Answers

Answer:

The dimensions of the frame must be 13 inches and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the lengths of its sides

- The rectangle is a quadrilateral with each two opposite sides are

 equal so the perimeter of the rectangle = 2l + 2w, l and w are the

 length and the width of it

- Candice has 38 inches of trim

- She wants to make a picture frame

- The frame is shaped a rectangle where its length is 5 inches less

  than three times the width

- Assume that the length is l and the width is w are the dimensions

 of the frame

l = 3w -5 ⇒ (1)

∵ The perimeter of the frame is the length of trim

∵ The length of the trim is 38 inches

∴ The perimeter of the frame is 38 inches

∵ Perimeter of the frame = 2l + 2w

2l + 2w = 38 ⇒ (2)

- Substitute equation (1) in equation (2)

∴ 2(3w - 5) + 2w = 38

- Multiply the bracket by 2 and add like terms

∴ 6w - 10 + 2w = 38

∴ 8w - 10 = 38

- Add 10 for both sides

∴ 8w = 48

- divide both sides by 8

w = 6

- Substitute the value of w in equation (1) to find l

∵ l = 3w - 5

∴ l = 3(6) - 5 = 18 - 5 = 13

l = 13

∵ l and w represent the length and the width of the frame

The dimensions of the frame must be 13 inches and 6 inches

"One less than
half a number is
a maximum of 19"

Answers

1/2x-1 < 19
But for the less than sign there should be a line underneath it for less than or equal to. My keyboard dosent have that symbol
Explanation: less than is subtraction
Half a number means you multiply a number by 1/2 so that’s why I used the variable x
And no more than 19 means that the solution can be less than or the same as 19 so that’s why you would use < with a line underneath it

Please help me find the pattern will give brainlist
1:3
3:17
10:66
6:38
Could be any pattern as long as it’s a pattern please help ASAP

Answers

Answer: 1:3 2:6 3:9  1:3 is answer

Step-by-step explanation:

A person who weighs 125 pounds on Earth would weigh 47 2/10 pounds on Mercury. Set up a proportion and solve using means and extremes to determine how much a child who weighs 50 pounds on Earth would weigh on mercury.

Answers

I hope this helps you

The amount of weight for a child who weighs 50 pounds on Earth would weigh on mercury would be = 18.88Ib.

How to calculate the weight of a child in Mercury?

To determine the weight of a child using means and extremes, the following steps should be taken as follows;

The ratio of the weight of the child on Earth and Moon = 125: 47 2/10

That is; 125: 47.2

Therefore 50Ib on earth would= ?

That I ;

125 = 47.2

50 = X

make X the subject of formula;

X = 50× 47.2/125

= 2360/125

= 18.88Ib.

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Which table represents a linear function?

Answers

The answer would be the fourth option. A linear function would be like a adding rule. For example +4 on the left side and +1 on the other side. In this case the answer would be the fourth option because the adding rule is +1 and +2.

Hope this helps.

Please only do 40 (a,b, and c)

Answers

a)

well, we know the final score is just the sum of "t" and "i", so hmmm we can just call the final score say "f", thus  f = t + i.

b)

student A

f = 30 + 40 => f = 70.

student B

f = 40 + 20 => f = 60.

student C

f = 30 + 50 => f = 80.

c)

the highest score above is from student C or 80, in order to have a higher score than that you would need a final score of 81.  You already earned 35 points for "t", so from "i" you'd need 81 - 35 = 46, so if you earn for interpretation 46 points, your final score will be f = 35 + 46 => f = 81.

five less than the product of 3 and a number of 40 . Write in an equation

Answers

Answer:

I don't get the "number of 40" part, but here's my best shot!

3(40x)-5

Step-by-step explanation:

Answer:

(3*40)-5=115

Step-by-step explanation:

In the past,younglin has painted a total of 5 pictures.She now intends to paint 7 pictures every two weeks.Make a table showing the total number of pictures younglin will have painted at the end of every two weeks.

Answers

Answer:  see table

Step-by-step explanation:

The number of weeks are multiples of 2 (every 2 weeks) and the number of paintings are multiples of 7 (7 paintings every 2 weeks).

[tex]\begin{array}{c|c}\underline{\text{Week}}&\underline{\text{Paintings}}\\2&7\\4&14\\6&21\\8&28\\10&35\\12&42\\14&49\\16&56\\18&63\\20&70\end{array}[/tex]

Maria has 8n-30 marbles, her brother has 5n marbles. How many more marbles does Maria have than her brother

Answers

Answer:

3n-30

Step-by-step explanation:

Answer: 3n-30

Step-by-step explanation: plato

What is the area of the shaded region?
21 mm
24 mm
42 mm
48mm

Answers

It’s 21.

For the height it’s 6+4+2 = 12
Area of complete triangle is 1/2(b)(h):

(1/2)(12)(5) = 30

Area of small triangle:
(1/2)(4)(3) = 9

30 - 21 = 9

Which is an algebraic expression for the word phrase "8 less than the product of 12 and a number x"? A. 12x – 8 B. 8 – 12x C. 12 – 8x D. 8x – 12

Answers

Answer:

A

Step-by-step explanation:

A product is the answer you get when you multiply 2 numbers together.

So you are starting backwards. Get the product first.

12*x

Now you want to take 8 away from it.

12x - 8 is what you get.

A

Answer:

A

Step-by-step explanation:

How many factors of 3 does the number 135 have?

Answers

Answer:Prime factorization:  

135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5. 1 + 3 + 5 = 9. Nine is a multiple of both 3 and 9, so this quick divisibility trick lets us know that both 3 and 9 are factors of 135. 135 = 1⁵ x 3³ x 5¹.

Answer:

The answer is three times 3.

Step-by-step explanation:

In order to determine the answer, we have to know about factorization.

Any number can be expressed by prime numbers. The procedure is:

if the number is even, to divide the number by the first prime number, 2.if the number is odd, to divide the number by some odd prime number.

In this case, we need to know how many factors of 3 have the number.

[tex]135/3=45\\45/3=15\\15/3=5\\5/5=1\\\\135=3^3*5[/tex]

As we can see, there are three times the factor 3.

Finally, the answer is three times 3.

Perpendicular to y=1/2-1, x-intercept at4

Answers

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

Point I is on line segment HJ. Given H I = x, H J = 3x – 9, and
IJ = x + 5, determine the numerical length of HJ.

Answers

Answer:

HJ = 33

Step-by-step explanation:

Given that point I is on segment HJ, then

HJ = HI + IJ ← substitute values

3x - 9 = x + x + 5, that is

3x - 9 = 2x + 5 ( subtract 2x from both sides )

x - 9 = 5 ( add 9 to both sides )

x = 14

Hence

HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

the numerical length of HJ

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

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How many liters are in 14 quarts?

Answers

Answer:

13.2 liters

Step-by-step explanation:

Answer:

13.2489412

Step-by-step explanation:

When multiplying more than two integers how can you determine the sign of the product

Answers

When you multiply two numbers, let’s say x and y, there are no negatives, so you know that it is positive. So that means it’s xy. Now, imagine we make that a -x times y. Since there is only 1 negative, it is negative. So that would be -xy. Now, imagine you have -x times -y. Since there are an even number of negatives, they cancel out!! (Magic). So -x times -y is xy.

With a tank of gas, if you can drive 475 miles, your car uses 12 miles per gallon. Write an equation to model this situation

Answers

12mi=1gal
475mi=(475/12)=39.583gal

Solve the system. -4= x - y 4= -x + y

Answers

Answer:

x-y=-4

y-x=4

y=x+4

(x,y)=(1,5),(2,6),(3,7),...

u see it doesn't have a particular answer any pair of numbers with 4 difference will do

need an answer for this equation in geometry plz

Answers

Answer:

120 degrees

Step-by-step explanation:

These are called supplementary angles. These are angles that add up to 180 degrees.

To solve this, you need to know that a triangle's interior angles should all add up to 180 degrees, no matter how weird the triangle looks.

For squares and other stuff it's 360 degrees

But as shown, all three interior angles of this triangle are the same. This means each of them is 60 degrees.

60 + 60 + 60 = 180

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

To find X, we know that the angle of a straight line is 180 degrees. Since X and that one interior angle share the same line,

we subtract 60 from 180 to get the remaining angle of X.

180 - 60 = 120 degrees.

123,608,902.904.Written in words​

Answers

Answer:

One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!

What inequality is graphed below?

x < -4
x ≤ -4
x ≥ -4
x > -4

Answers

Answer:

The answer is x>-4

Answer:

2342423

Step-by-step explanation:

asdadadsada

Solve 36+57 on a number line

Answers

36

+57

------

93

On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.

Jessica bought a soft drink for 2 dollars and 6 candy bars she spent a total of 14 dollars how much did each candy bar cost?

Answers

Answer:2 per candy bar

Step-by-step explanation:

14-2=12 12/6=2

Choose the equation that represents a line that passes through points (-6,4) and (2,0).

A) x+2y= 2
B) 2x-y= -16
C) x+2y= -8
D) 2x+y= 4

Please give a detailed explanation on how you solved the problem.

Answers

Answer:

A.

Explanation:

Just plug in the points to each equation.

A.  x + 2y = 2

Plugging in (-6,4) (-6) + 2(4) = 2 ---> -6 + 8 = 2

Plugging in (2,0)  (2) + 2(0) = 2 ---> 2 + 0 = 2

B. 2x + y = -16

Plugging in (-6.4)  2(-6) + (4) = -16 ---> -12 + 4 = -16 --> -8 [tex]\neq -16[/tex]

Because the first point didn't work there is no need to check the second one.

C. x + 2y = -8

Plugging in (-6,4)  (-6) + 2(4) = -8 ---> -6 + 8 = -8 --> 2[tex]\neq -8[/tex]

Again, because the first point didn't work there is no need to chek the next.

D. 2x + y = 4

Plugging in (-6,4)  2(-6) + (4) = 4 ---> -12 + 4 = 4 --> -8[tex]\neq 4[/tex]

Even though the answer was A. you should still check each on of them because there can always be a mistake in your work.

Answer:

A

Step-by-step explanation:

To find the equation of a line, the first thing that must be determined is the lines gradient. This can be determined by using the formula:

m = (Δy) / (Δx)

m = (4-0) / (-6-2)

m = 4 / -8

m = -0.5

The gradient has been determined, now we determine the y-intercept by using a point it passes through (either point cant be used because the line will pass through bother coordinates given)

y = mx + c       (Using the point (2,0))

0 = (-0.5)(2) + c

c = 1

Since we have the y-intercept, a formula can be created for the line, and rearranging it, we can then find the correct option.

y = mx + c

y = (-0.5)x + 1

2y = -x + 2

x + 2y = 2

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set
of this problem?
-

Answers

Answer:

x-1÷2/5=x+1÷3/5

Step-by-step explanation:

Hint: Is means equals.

Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging​ (in millions) from the years 2000 to 2009 is given by the equation y equals x plus 16​, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair ​(2​, ​ ).
b. Write a sentence explaining the meaning of the answer to part​ (a).
c. If this trend​ continues, how many joggers will there be in 2023​?

Answers

Answer:

a. The ordered pair is (2 , 18)

b. The number of people jogging in year 2002 was 18 millions

c. There will be 39 millions joggers in year 2023

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation y = x + 16 represents the number of people jogging

   in millions from year 2000 to 2009 where y is the number of people

   and x is the number of years after 2000

- That means at year 2000 the value of x = 0 and the number of people

   jogging was 16 millions

- The equation represented graphically by line

a.

- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2

- Substitute x by 2 in the equation

∵ y = x + 16

∵ x = 2

∴ y = 2 + 16 = 18

* The ordered pair is (2 , 18)

b.

∵ y represents the number of people jogging in millions

∵ x represents the number of years from year 2000

- That means the number of people jogging in year 2002 was 18

  millions

* The meaning of the answer of part (a) is :

  The number of people jogging in year 2002 was 18 millions

c.

-  If this trend​ continues means the equation will be the same for years

   after 2009

∵ In year 2023 ⇒ x = 23

∵ y = x + 16

∴ y = 23 + 16 = 39

* There will be 39 millions joggers in year 2023

Why is a parallelogram not the same of quadrilateral as a trapezoid? Explain how you know.

Answers

A parallelogram has 2 sets of parallel sides. However, a trapezoid only has 1 set.

...........help pleaseeee

Answers

What is your question?

9. An Integer is 10 times the difference of a rational number and
what is the value of the rational number?
tonal number and 5. If the value of the integer is 124,
Equation​

Answers

Final answer:

To find the value of the rational number, set up an equation using the representation of the integer as 10 times the difference of the rational number and 5. Solve the equation to find the value of the rational number, which is 17.4.

Explanation:

To find the value of the rational number, we can use the given equation: An Integer = 10 times the difference of the rational number and 5.

Let's denote the rational number as x. According to the equation, the integer can be represented as 10(x - 5).

Since the value of the integer is 124, we can set up the equation: 10(x - 5) = 124.

Solving for x, we can divide both sides of the equation by 10 to isolate x: x - 5 = 12.4.

Finally, add 5 to both sides to find the value of x: x = 17.4.

Therefore, the value of the rational number is 17.4.

Find the value of x. If necessary, round to the nearest tenth.


7.3 in.

10.4 in.

5.2 in.

8.8 in.

Answers

Answer:

7.3 in

Step-by-step explanation:

area = 27 = 54/2 = (x^2)/2

so what squared is 54?

7.34 whatever inches.

round it down, that's 7.3.

Answer: 7.3 in

Step-by-step explanation:

To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.

From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is  27 sq. in

Area of a triangle =  [tex]\frac{1}{2}[/tex]  base × height

              27             =  [tex]\frac{1}{2}[/tex]   ×   x ×  x

              27               = [tex]\frac{1}{2}[/tex]   ×       x²

                27              =    [tex]\frac{x^{2} }{2}[/tex]

          cross  multiply

                    2   ×  27   =  x²

                        54    =    x²

Take the square roots of both-side

                    √54       =       √x²

                      7.3        =         x

                       x         =       7.3

Therefore the value of x is 7.3 in.

                   

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