If a + b ≤ 8 and a = 2, then b ≤ 5.Which of the following would be a counterexample?
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].
Suppose the equation of line t is y = x. Which shows the graph of ΔA'B'C' for Rt? Triangle A B C graphed on a coordinate plane with vertices at A negative 1 comma 1, B 1 comma negative 1, and C negative 3 comma negative 1. Group of answer choices Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime 3 comma negative 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime 2 comma negative 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3. Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime negative 3 comma negative 1, B prime negative 1 comma 2, and C prime negative 3 comma negative 5.
Answer:
The correct option is;
Triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3
Step-by-step explanation:
The given parameters are;
The equation of the line t over which ΔABC is reflected is given by y = x
The coordinates of the vertices of ΔABC are given as follows;
A(-1, 1), B(1, -1), and C(-3, -1)
The reflection of a preimage (x, y) across the line y = x gives an image with coordinates at (y, x)
Therefore, the coordinates of the vertices of the image ΔA'B'C' after the reflection of the preimage ΔABC over the line, y = x are given as follows;
Coordinates of preimage → Reflection across y = x → Coordinates of image
A(-1, 1) [tex]{}[/tex] Reflection across the line y = x A'(1, -1)
B(1, -1) [tex]{}[/tex] Reflection across the line y = x B'(-1, 1)
C(-3, -1) [tex]{}[/tex] Reflection across the line y = x C'(-1, -3)
Therefore, the correct option is triangle A prime B prime C prime graphed on a coordinate plane with vertices at A prime 1 comma negative 1, B prime negative 1 comma 1, and C prime negative 1 comma negative 3.
Answer:
A
Step-by-step explanation:
There is no dialation of the figure. Simply a rigidmotion. There is no need to change the shape, merely the sign befre the number.
Which organism shares the most similarities with humans?
fern
jellyfish
lobster
snake
Answer:
snake
Step-by-step explanation:
Snake, being a reptile, is the closest to humans as per the phylogenetic analysis. In this case which is the lobster. Then comes the jelly fish according to the tree of life.
Answer:
snake
I took the test
In an arithmetic sequence, the sum of the 3rd and 8th term is 1. Given that the sum of the first seven terms is 35, determine the first term and the common difference.
Answer:
first term: a₁ = 14 the common difference: d = -3Step-by-step explanation:
The sum of the 3rd and 8th term is:
[tex]a_3+a_8=1\\\\a_1+2d+a_1+7d=1\\\\\underline{2a_1+9d=1}[/tex]
The sum of the first seven terms is 35:
[tex]S_7=35\\\\\dfrac{a_1+a_7}2\cdot7=35\\{}\qquad\quad^{\div7\qquad\div7}\\ \dfrac{a_1+a_1+d}2=5\\{}\qquad\qquad^{\cdot2\qquad\cdot2}\\2a_1+6d=10\\{}\qquad\ ^{\div2\qquad\div2}\\a_1+3d=5\\{}\quad\ ^{-3d\quad\ -3d}\\a_1=5-3d[/tex]
[tex]2a_1+9d=1\\\\2(5-3d)+9d=1\\\\10-6d+9d=1\\{}\qquad\qquad^{-10\quad-10}\\{}\qquad3d=-9\\{}\qquad^{\div3\qquad\div3}\\{}\qquad d=-3\\\\\\a_1=5-3(-3)=5+9=14[/tex]
If gas costs $2.49 per gallon, how many whole gallons of gas could you buy with $15.00?
(Make sure to answer with a whole number.
Answer: 6.02
Step-by-step explanation:
If we know 1 gallon = 2.49
We would have to do 15.00 divided by 2.49 in order to figure out how many gallons we need. When we do that we would get 6.024 but you can round by the nearest tenth because you need to have a whole number and you would get 6 ·ω·
What is 5.2 as a mixed number in simplest form?
1. 5 and 1/2
2. 52/100
3.5 and 20/10
4.5 and 1/5
How can you solve kx-4=90 for x
Answer:
x = 94/k
Step-by-step explanation:
kx-4=90
Add 4 to each side
kx-4+4=90+4
kx = 94
Divide each side by k
kx/k = 94/k
x = 94/k
solve this equation step by step x+3*2=12-2*2
Answer:
Step-by-step explanation:
x+3*2=12-2*2
x+6=12-4
x+6=8
-6 -6
x=2
What is 5,200,000 written in scientific notation
Answer: 5.2 x 10⁶
Step-by-step explanation:
The number 45 is no
more than the difference of 2 times a number m and 3.
Answer:
m ∈ <24, ∞)Step-by-step explanation:
m - given number
2m - 2 times the number m
2m-3 - the difference of 2 times the number m and 3
the number 45 is no more than the difference of 2 times a number m and 3
45 ≤ 2m - 3
-2m -2m
45 - 2m ≤ -3
-45 -45
- 2m ≤ -48
÷(-2) ÷(-2)
m ≥ 24
m ∈ <24, ∞)
whats 811 divide by 25
Answer:
the answer would be 32.44
Step-by-step explanation:
JUST HELP. HATE MATH! SKSJSJD
Answer:
56.5
Step-by-step explanation:
its just division
Answer:
226/4 = 56.5
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[tex]4 \sqrt{226[/tex]
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ANSWER THIS CORRECTLY AND GET 100 PTS AND BRAINLIEST
Answer:
4y+6x2-6+y is not equivalent3y+6x2+6 is equivalent, but not fully simplified5y-6x2-5+1 is not equivalent5y-8x2-6+14x2 is equivalent and simplified fully3y+6x2-5-1 is equivalent and simplified fully5y+6x2-6 is not equivalent4y-8x2-5+14x2+y-1 is equivalent, but not fully simplifiedHope I helped!! :)Answer:
nmnm
Step-by-step explanation:
nmnmnm
look at each expression. is it equivalent to "the quotient of 10 plus x and y minus 3"?
Answer:
B
Step-by-step explanation:
B
The numerator is 10 + x.
The denominator is y - 3.
John drove 504 miles in 8 hours. At the same rate, how many miles would he drive in 13 hours?
The distance travelled by John in 13 hours is 819 miles.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total distance covered in 8 hours is 504 miles.
Then in one hour, distance covered is given as below,
⇒ Number of miles ÷ Number of hours
⇒ 504 ÷ 8 = 63
Then, the distance covered in 13 hours is given as,
⇒ Unit distance in 1 hour × Number of hours
⇒ 63 × 13 = 819
Hence, the miles travelled in 1 hour is given as 819 miles.
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Let’s see how good are you with numbers what’s the answer to both of these?
Answer:
A. 22,075.06
B. 17,422.44
Answer:
A. $22,074.94
B. $12,422.44
Step-by-step explanation:
28,485.34 25,405.56
- 6,410.28 - 7, 983.12
= 22,074.94 = 12,422.44
I need you guys help simplifying these questions!!
1. 6n+5(10n−7)
2. 3−10(4p−1)
3. −4(8k+5)−5(9k+4)
Answer:
Hello thanks for the question, if my answqers are correcrt pls mark brain liest
1. 56 n − 35
2. − 40 p + 13
3. − 77 k − 40
Step-by-step explanation:
F(x)=(X+1)(x+3)(x-4)
Answer:
y=x3−13x−12
Step-by-step explanation:
I need help pls anyone
Answer: they are different because h=50 means that h and 50 are equal meaning that h is 50. H>50 means that h is not 50 but could be anything greater than 50
Step-by-step explanation:
Step-by-step explanation:
i think the difference between h=50 and h>50 is that if h=50 then h is 50 but if h>50 then h is larger than 50
A rectangular swimming pool measures 50 meters in length and 25 meters in width. What are the length and width of your scaled drawing with a scale of 1 centimeter represents 5 meters?
Answer:
10 cm by 5cm
Step-by-step explanation:
We know that for every 5 meters, there will be 1 centimeter. The pool is 50 meters by 25 meters. So to find this in terms of centimters, divide by 5 to get 10 cm by 5 cm.
If using the method of completing the square to solve the quadratic equation
x2 - 6x – 34 = 0, which number would have to be added to "complete the
square"?
Answer:
9
Step-by-step explanation:
divide -6 by 2 then square the answer(-3)=9
The solution of x² - 6x – 34 = 0 by completing square method is
⇒x = 3 ±√43
The given quadratic equation is
x² - 6x – 34 = 0,
We know that whole square formula
(p+q)² = p² + q² + 2pq
Now convert the given expression into this form
So adding 9 both sides
⇒ x² - 6x – 34 + 9 = 9
⇒ x² - 6x + 9 = 43
⇒ x² - (2)(3)x + 3² = 43
⇒ (x - 3)² = 43
Taking square root both sides we get
⇒ (x - 3) = ±√43
Add 3 both sides we get
⇒ x = 3 ±√43
Thus the solution of the given quadratic equation is
x = 3 ±√43
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Can someone answer this question and make sure they show working out. Will reward brainliest to the best answer.
Answer:
8a²+8a+12b = 8a²+8a+12b
Step-by-step explanation:
first, expand the brackets
4a + 4a + 12a² + 8b + 4b - 4a²
then, collect like terms
8a + 8a² + 12b
then, rearrange
8a² + 8a + 12b
PLZ HELP ME I WILL CALL YOU BRILLIANT Austin is comparing the prices of two car rental companies. Company A charges $24 per day and an additional $25 as service charges. Company B charges $22 per day and an additional $40 as service charges.
Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used.
Part B: Which company would charge less for renting a car for 4 days? Justify your answer.
Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 6 days?
Answer
Step-by-step explanation:
Its A
HI um yeaaaa so do u still need help and um this is taylor megan is at school and aaahhhhh umm yea so................... bye bye
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simplify 2 x 5^2.
A- 49
B- 20
C- 100
D- 50
Use the function f(x) = 4x – 3 to determine g(x) if
g(x) = f(x) + 5
Answer:
g(x) = 4x + 2
Step-by-step explanation:
g(x) = f(x) + 5 = 4x - 3 + 5 = 4x + 2
The work W required to move a particle from a far distance to within radius r of another particle varies jointly as the product of the two particles' charges q1 and q2 and inversely as the radius r. Write a formula that models this proportion. (Use k as the constant of variation.)
Answer:
W = kq1q2 / r
Step-by-step explanation:
W varies jointly as the product of q1 and q2 and inversely as radius r
Product of q1 and q2 = q1q2
W = (k*q1"q2) / r
W = kq1q2 / r
Where,
W = work
q1 = particle 1
q2 = particle 2
r = radius
k = constant of proportionality
The answer is W = kq1q2 / r
Using proportions, it is found that the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
Work varies jointly as the charges, thus, the charges are in the numerator.Inversely as the radius, thus, the radius is in the denominator.There is a constant of proportionality k, which multiplies the fraction;Then, the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
A similar problem is given at https://brainly.com/question/18131403
If 3x+4y=4 and 2x+y=1, then the value of 2x+3y is equal to
Answer:
3.
Step-by-step explanation:
3x + 4y = 4..........1
2x + y = 1.............2 Multiply this by 4:
8x + 4y = 4 Subtract this from equation 1:
-5x = 0
x = 0.
So substituting in equation 2:
2(0) + y = 1
y = 1.
Therefore 2x + 3y = 2(0) + 3(1) = 3.
Nakisa spent 328 on a total of CDs and DvDs. If Cds coat 12.00 and DVDs coat 16.00 each, how many CDs did Nakisa buy?
Answer:
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
Step-by-step explanation:
1) Set up an equation
Let c be the number of CDs Nakisa bought.
Let d be the number of DVDs Nakisa bought.
[tex]328=12c+16d[/tex]
Explanation: Each CD costs $12 and each DVD costs $16. Nakisa spent $328 altogether, which means $12c+$16d is equal to $328.
The question is asking for the number of CDs that Nakisa bought, so our goal is to isolate c in the equation above.
2) Isolate c
[tex]328=12c+16d[/tex]
Subtract both sides by 16d
[tex]328-16d=12c+16d-16d\\328-16d=12c[/tex]
Divide both sides by 12
[tex]\frac{328-16d}{12}=\frac{12c}{12} \\\frac{82}{3}-\frac{4}{3}d=c[/tex]
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
I hope this helps!
Write an equation of the parabola shown.
a. x=3/28y²
b. x=7/12y²
Also please explain how you got the answer :)
Answer:
(B). x=7/12y²
Step-by-step explanation:
Determine an equation that has the solutions x = -4 and x = 3.
Work backward to find the equation:same equation1
We now have an equation answer:
( x=7/12y² )
Please help I don’t understand this. I suck at this. (Worth 15 points)
Answer:
0.00068
Step-by-step explanation:
By "hm" I think you mean hectometer, and 6.8 cm converted to hectometer is 0.00068. Hope this helped!
Answer:
6.8 cm is equal to 0.00068 hm
Step-by-step explanation:
Hope this helps!
