If a + b ≤ 8 and a = 2, then b ≤ 5.Which of the following would be a counterexample?

Answers

Answer 1

Answer:

The correct counterexample is [tex]b \leq 6[/tex].

Step-by-step explanation:

We proceed to demonstrate the validity of given implication by direct demonstration and use of our knowledge in algebra:

1) [tex]a + b \leq 8[/tex] Given.

2) [tex]a = 2[/tex] Given.

3) [tex]2+b \leq 8[/tex] 2) in 1)

4) [tex]2 + b +(-2) \leq 8 +(-2)[/tex] Compatibility with addition.

5) [tex]b+[2+(-2)]\leq 6[/tex] Commutative and associative properties/Definition of subtraction

6) [tex]b \leq 6[/tex] Existence of additive inverse/Modulative property/Result.

This contradicts what implies the given proposition. The correct counterexample is [tex]b \leq 6[/tex].


Related Questions

PLSSSS HELP ME TwT 100 pts

Answers

Answer:

first one is lined correctly second one is lined up to the last one third one is lined perfectly and fourth is lined to the second one

Step-by-step explanation:

Answer:

don t know

Step-by-step explanation:

5000 jumps for 8 hours ___ per hour

Answers

Answer:

This is 625 jumps an hour.

ano ang kahulugan ng kaluwagang palad​

Answers

Answer:

pagiging matulungin sa kapwa

based on the scores in the chart below which restaurant is the best choice for the dinner tonight and why
A.Ku's Chinese buffet, because it had a total score of +2
B ku's Chinese buffet, because it has s total score of +12
C Umberots Italian Restaurant, because it has a total score of +3
D Umberots Itaian Restaurant, because it has a total score of +9​

Answers

Answer:

B

Step-by-step explanation:

Ku's since it has the highest score with +12

Choose all of the numbers below that are perfect squares. You must select all that apply.



200


361


121


50


225


4



please help meh

Answers

Answer:

361 121 225 4

Step-by-step explanation:

you can square root these numbers to get a whole number

Helpppppppp ill give brainliest
1. |-19-12|
2. |19-(-12)|
3. |10 - (-42)|
4. |-10 - 43|
5. |-1 - (-16)|
6. | 1-16|
7. | 0 - (-9) |
8. |0 - 9|
9. |-14.5 - 13|
10. | 14.5 - (-13)|

Answers

Answer:

1. -31

2. 31

3. 42

4. -53

5. 15

6. -15

7. 9

8. -9

9. -27.5

10. 27.5

Step-by-step explanation:

Sorry if some of them are wrong.

Lana collects 20-cent and 50-cent coins. The total value of her coins is currently $9.70. If Lana has 4 more 50-cent coins than 20-cent coins, how many of each type does she have? Thanks.

Answers

15 50-cent coins and 11 20-cent coins

What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?

Answers

Answer:  y= 1/5 x + 8

Step-by-step explanation:

To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.

- 5 becomes +1/5

Then substitute the y and x values from the given coordinate into the new equation and solve for b

y= mx+b

6=1/5 (-10) + b

6 = -2 +b

8 = b   rewrite the new equation and substitute  8 for b

y= 1/5 x + 8

The attached screenshot shows the lines and the point.

More than question on this check my page for more and please give me step for step thanks

Answers

Answer:

the angle measures of 14° and x° are adjacent angles that makes the right angle. Therefore the sum of the angle is 90. This then gives x+14=90 x=76

AND OMG HIII ARMY !

A turtle travels one half of a foot in 4 seconds. How many feet will a turtle travel in 7 seconds?

Answers

Answer: 10.5 inches or .875 feet.

Step-by-step explanation:

First calculate the SPEED = Distance /Time.  So 1/2 of a foot = 6 inches  so distance of 6 inches divided by time of 4 sec = s 1.5 (inches) per sec.  So using Distance = speed x time we calculate 1.5in x 7 sec= a distance of 10.5 inches or 10.5 inches divided by 12in that is in a foot = .875 feet.

PLEASE ANSWER ASAP!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!

Which equation represents a proportional relationship that has a constant of proportionality equal to 5?

y= x - 1/5
y= x+ 1/5
y= 1/5x
y= 5x​

Answers

Answer:

Y=5x

Step-by-step explanation:

The first the options aren’t even whole numbers

y=5x

that is the correct answer because the constant is 5 and as long as the constant is 5 the upcoming numbers after that will the a multiple of 5. I hope the helps!!

Christina buys a balance beam priced at $251.80. Shipping and handling are an additional
30% of the price. How much shipping and handling will Christina pay?

Answers

Answer: $75.54

Because 30% of 251.80 is 75.54

Answer:

$75.54

Step-by-step explanation:

30% of 251.80 is 75.54 hope that helped :3

36 x 79 whats the answer show your work pls

Answers

79×36=2,844 is the multiplied amswer

PLZ HELP QUICK ILL MARK BRAINLEIST!!!

Answers

hmm through my critical thinking I belive it's B

what is the slope if the line is 5y= 10x-15

Answers

Answer:

slope = 2

Step-by-step explanation:

y = mx + b

M is the slope

5y = 10x - 15

y = 2x - 3

2 is the m in this equation

I hope this helped!

12 miles below sea level

Answers

Answer:

12 miles below sea level

Step-by-step explanation:

Michael's family was traveling to visit prospective colleges
They drove to the closest college that
interested him, took a tour, and then drove to another
college a little farther from home. The graph shown
represents the situation.

Answers

Answer:

Step-by-step explanation:

Domain is defined by the input values (x-values) on the graph.

Range is defined by the output values (y-values) on the graph.

From the graph attached,

Domain: [0, 5]

Range: [0, 300]

Maximum point of the graph is (5, 300). It denotes that Michael's family took 5 hours to reach the maximum point which is 300 miles from their home.

Please help with this question!!

The distance, d, that a certain car is from Math City after h hours, can be determined by the equation d=45h. The distance that a second car is from Math City can be determined by the equation d=25h+80. After how many hours will the two cars be the same distance from the Math City?

Answers

Answer:

4 hours

Step-by-step explanation:

First car distance

d = 45h

Second car distance

d = 25h + 80

After how many hours will the two cars be the same distance from the Math City?

Equate both car's distances

45h = 25h + 80

Collect like terms

45h - 25h = 80

20h = 80

Divide both sides by 20

h = 80 / 20

= 4

h = 4 hours

The two cars will be at the same distance from the Math City in 4 hours

What are the roots of the equation x²
14x + 53 = 0 in simplest a + bi form?

Answers

Answer:

The answer is  7±2i

Step-by-step explanation:

THIS IS ONE HUNDRED PERCENT CORRECT. My teacher told me. So the symbol between them is like an underscore an a plus in one. I cant type is that easy so I tried my best.

Write an equation of a line with the given slope and y-intercept:
m=1, b=4
y = 4x + 1
y = x - 4
OA)
OB)
y=-1x + 4
y = x +4

Answers

Answer:

y=x+4

Step-by-step explanation:

y=mx+b

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?

Answers

Answer:

$4.7

Step-by-step explanation:

step one:

Let the cost be y

to solve for the cost of  a movie ticket, we need to solve the expression

y=2.75+0.10x

step two:

given that x is the number of years between 1980-2000

the number of years is 20years

put x= 20 in the expression for the cost we have

y=2.75+0.10(20)

y=2.7+2

y=$4.7

I need help with this please

Answers

Answer:

the bottom answer choice : segment TD

Step-by-step explanation:

Hello.

We know that ΔSJL ≅ ΔDMT

∠S ≅ ∠D

∠J ≅ ∠M

∠L ≅ ∠T

                            __                                             __

So the segment  LS  corresponds to segment  TD

Jeremy stands on the edge of a river and throws a rock into the water. The rock leaves his hand at a height 4 feet above the water. The rock reaches the highest point along its path when it is a horizontal distance of 28 feet from his hand and 17 feet above the water. Write a function to represent the height of the rock in terms of its distance from Jeremy’s hand.

Answers

Answer:

The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17

Step-by-step explanation:

The given parameters are;

The height of the rock above the water when it leaves Jeremy's hand = feet

The maximum height of the rock = 28 feet

The horizontal distance at maximum height = 17 feet

Therefore, the given coordinates of the maximum height = (28, 17)

The equation of a parabola in vertex form is f(x) = a(x - h)² + k

Taking the maximum point as the vertex of the parabola, we have;

(h, k) = (28, 17)

Substituting the values gives;

f(x) = a·(x - 28)² + 17

At x = 0, the height = 4, we have;

f(0) = 4 = a·(0 - 28)² + 17

4 - 17 = a×28²

-13 = 784 × a

a = -13/784

Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;

f(x) = h = -13/784·(x - 28)² + 17

Find the values of x and y.
18.
120°=(2x + y)°
(2x - y)°=140°

Answers

Answer:

x = 65, y = - 10

Step-by-step explanation:

Given the 2 equations

2x + y = 120 → (1)

2x - y = 140 → (2)

Adding the 2 equations term by term will eliminate y, that is

4x = 260 ( divide both sides by 4 )

x = 65

Substitute x = 65 into either of the 2 equations and evaluate for y

Substituting into (1)

2(65) + y = 120

130 + y = 120 ( subtract 130 from both sides )

y = - 10


A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a
circular cylinder with radius 3 inches and height 6 inches, how much volume will need to be filled with
4
padding? (The volume of a sphere with radius r is ar?, and the volume of a right circular cylinder with
radius r and height is arh.) Use "pi" for 7.
of padding will be needed.

Answers

Long one will let me give a guess try them on other one
Gujarati h CB hhff G Fr

Зn + 16 = 7n help pls

Answers

Answer:

n = 4

Step-by-step explanation:

3n + 16 = 7n

Cancel out the 3n by subtracting it from both sides

16 = 4n

Divide both sides by 4 so you are left with n=

4 = n

Answer:

[tex]n=4[/tex]

Step-by-step explanation:

To start off you need to subtract 3n from both sides. That would leave you with:

[tex]16=4n[/tex]

Next, you need to divide both sides by 4, since this equation is equal to [tex]n*4[/tex] and we only want a single n, not multiple. That would give us the answer:

[tex]4=n[/tex]

ZB
Round your answer to the nearest hundredth.
А
5
B
4
C

Answers

Answer:

The answer is 36.87°

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of B

To find the value of B we use cosine

That's

cos∅ = adjacent / hypotenuse

From the question

adjacent = 4

hypotenuse = 5

We have

[tex] \cos(B) = \frac{4}{5} \\ B = { \cos }^{ - 1} ( \frac{4}{5}) \\ = 36.869897645...[/tex]

We have the final answer as

36.87° to the nearest hundredth

Hope this helps you

Solve for s.



2/3s+5/6s=2/1
all the numbers are fractions

Answers

Answer:

s = [tex]\frac{4}{3}[/tex]

10x - 12 = ??? plz help me out ❤

Answers

Answer:

-120

Step-by-step explanation:

Find the rate of discount being given on a shirt whose selling price is $ 546 after deducting a discount of $ 104 on its marked price.

Answers

19% of 546 is 103.7 approximately $104 so the answer is 19%
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