Answer:
I think it is positive.
Step-by-step explanation:
Iam soory if Iam wrong.
James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and b is 6. The product of a and c is -4. The product of b and c is -6.
Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
[tex]ab=6[/tex] ...(i)
[tex]ac=-4[/tex] ...(ii)
[tex]bc=-6[/tex] ...(iii)
From (ii), we get
[tex]a=-\dfrsc{4}{c}[/tex] ...(iv)
From (iii), we get
[tex]b=-\dfrsc{6}{c}[/tex] ...(v)
Putting [tex]a=-\dfrsc{4}{c}[/tex] and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get
[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]
[tex]\dfrac{24}{c^2}=6[/tex]
[tex]\dfrac{24}{6}=c^2[/tex]
[tex]4=c^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{4}=c[/tex]
[tex]\pm 2=c[/tex]
It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].
Putting [tex]c=2[/tex] in (iv), we get
[tex]a=-\dfrsc{4}{2}[/tex]
[tex]a=-2[/tex]
Putting [tex]c=2[/tex] in (v), we get
[tex]b=-\dfrsc{6}{2}[/tex]
[tex]b=-3[/tex]
Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.
How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answer:
-4 and 1, the answer is C
Step-by-step explanation:
The arrow points at the lines, the trace the lines to the nearest numbers :)
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
Solve for the missing side. Round to the nearest tenth.
Answer:
? = 7.2
Step-by-step explanation:
Remark
Is that a misshapen circle or is it an ellipse? I'm going to assume it is a circle, but if I am wrong, leave a comment. A tangent will meet a diameter's end at right angles which allows you to use the Pythagorean theorem.
Formula
a^2 + b^2 = c^2
Givens
c = 12
a = 9.6
b = ?
Solution
c^2 - a^2 = b^2
144 - 92.16 = b^2
b^2 = 51.84 Take the square root of both sides
sqrt(b^2) = sqrt(51.84)
b = 7.2
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
Jon is taking a 625 mile trip. On the first day, he drove 183 miles.
How many more miles does he have to drive?
Answer:
442
Step-by-step explanation:
625-183=442
The more miles he have to drive is 442miles.
We have given that,Jon is taking a 625 mile trip.On the first day, he drove 183 miles.
We have to find the how many more miles does he have to drive.
What is the formula for the total miles drive?Total distace mile drove =mile drove first day+Remaining drove in miles
So we can write it as,
Total distance miles-Miles drove first day= Remaining miles
Total distance=625
first day distance=183
Remaining distance
=625-183
=442
Therefore the remaining distance is 442miles.
To learn more about the distance visit:
https://brainly.com/question/23848540
Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.
Answer: 300
Step-by-step explanation: Math - 35X10-50
I may be wrong sorry!
Replace x with 10 in the given function.
We are seeking f(10).
f(10) = 35(10) - 50
f(10) = 350 - 50
f(10) = 300
After 10 hours, Bill's profit is $300.
I need help can someone help me pls
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404
9514 1404 393
Answer:
48
Step-by-step explanation:
Put 16 where x is and do the arithmetic.
f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)
f(16) = 48
WHAT X !!!!! PLEASE HELP !!!
Which one is it ? NO LINKS
245
55
180
65
Answer:
245 is the best answer. I am right ta boy
Answer: 245
Step-by-step explanation:
60 + 120 + 65 = 245
The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded
Answer:
c
Step-by-step explanation:
24×12=288 songs downloaded
this is because you have to do opposite operations according to one of the operations of math
An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.
Let the number of songs downloaded be d.
So, the equation is d/12 =24
d=288
The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Simplify. 9 - 5x + 8 - 4x
Answer:
− 9 + 1 7
Step-by-step explanation:
Hope this helps!
help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
What 3-D object can be created by fol this net? A. Cube B. Rectangular prism C cyclinder D. Triangular prism
Answer:
C. cyilender
Step-by-step explanation:
Hope this helps <3 if it does plz give me a thx<33└(^o^)┘
The area is approximately ___ square units.
Use 3.14 for π.
Answer:
A = 914 units
Step-by-step explanation:
The figure consists of a rectangle and a circle.
The sides of rectangle are 30 units and 20 units
The diameter of circle is 20 unit
Radius = 10 units
Required area = area of rectangle + area of circle
[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]
So, the area of the figure is equal to 914 units.
Substitution
3x+y=-8, -8x-3y=21
PLEASE HELPP ME<3
A store gives reward points for every dollar
spent. The number of reward points varies
directly with the total amount spent.
Sofia spends $300 and receives 15 reward
points.
Juan spends $900. He receives reward points
at the same rate as Sofia.
How many more reward points will Juan
receive than Sofia?
Please help me I give u 14 points please only correct answers ,!!!
helppppppppppppppppppppp plzzzzzzzzzzz answer
Answer:
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Step-by-step explanation:
so fd jwshydd +3 b4--
Answer:
3/2
Step-by-step explanation:
4x+17=23
-17 on both sides
4x=6
divided by 4
x=3/2
Bob bought a broken motor scooter for, repaired it installed the scooter for $150. That was $50 less than 1.5 times what he paid for. Write an equation that matches the situation
PLS help with this immediately no links or guesses
Answer:
B all real numbers greater than 0
Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters
Answer:
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Step-by-step explanation:
The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
Reason -
Option A is incorrect because the statistics can not be incorrect.
Option B is incorrect because they are not talking about the city.
Option C is correct because Urban rail reduces congestion.
Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.
Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.
please help im not good at this kind of math T-T 20 points :)
Answer:
Step-by-step explanation:
huh
Answer:
Step-by-step explanation:
y=13-3x
when x=0
y=13-3(0)
y=13
when x=1
y=13-3(1)
y=13-3
y=10
when x=2
y=13-3(2)
y=13-6
y=7
when x=3
y=13-3(3)
y=13-9
y=4
when x=4
y=13-3(4)
y=13-12
y=1
Help me with this please
Answer:
6a is 80 6b120
Step-by-step explanation:
If your grandmother had a cousin what would she be to you??
Answer:
Wouldn't he be like a second cousin or something?
Step-by-step explanation:
Answer:
I think she would be your second cousin.
Step-by-step explanation:
Hope this helps!!
Please mark this answer as Brainiest!!
To determine the amount of peanuts a bag will hold, Toby needs to find the
A: Area
B: Length
C: Perimeter
D: Volume
Answer:
D: Volume
Step-by-step explanation:
Answer:
area
Step-by-step explanation:
(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)
Given two similar figures, if AB = 17 when DE = 4, and
AC = 6, then DF = ?
Round your answer to the nearest hundredth if necessary.