Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
From the above, the answer to the question is choices B, C, and D
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
PLEASE HELP
3/4x - 7 = 3 (1/6x +1)
Solve the linear equation and determine whether it’s one solution or infinite solution or no solution
Answer:
One SolutionStep-by-step explanation:
[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]
[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]
[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]
[tex] = > \frac{3 - 2}{4} x = 10[/tex]
[tex] = > \frac{1}{4} x = 10[/tex]
=> x = 10 × 4
=> x = 40
Here,
The variable x whose only one value 40 will solve the equation.
Hence,
It has only one solution. (Ans)
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.
Answer:
1.6 laps
Step-by-step explanation:
Simply divide 3 over 1.8 to get the number of laps.
-2y + x +
3
How many terms are in the expression
Answer:3
Step-by-step explanation:
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17
Some one help please
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
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Step-by-step explanation:
yiutujhyyiiyttthhuijc
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Its says in question 4 tue horizontal translation is A right.?
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
Easy problem just look at the photo
Answer:
55
Step-by-step explanation:
a triangle adds up to 180°
25+30+x= 180
55+x=180
x=180-55
x=125
x and y is a straight line so it adds up to 180°
x=125 y=?
x+y=180
125+y=180
y=180-125
y=55°
y= 55°
Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
What’s the volume of 9 cm 6 cm 4 cm
Answer:
bro tell me the shape
Step-by-step explanation:
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
The least common multiple of 3, 4, 6, and 8 is
Answer:
24 is the least common multiple of 3, 4, 6, and 8 is
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.
Answer:
1078in
Step-by-step explanation:
Surface area =2(wl+hl+hw)
2·(17·19+6·19+6·17)=1078in
x=1 and y=3
2x+3y-2
plsss helpp <3
Answer:
9
Step-by-step explanation:
2x + 3y - 2 =9
(2) + (9) -2 =9
Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:2.65
Step-by-step explanation:
The answer is 2.65
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answer: 20 cups :DD
Step-by-step explanation:
I need this today plz help
Answer:
the answer is either A or C
Step-by-step explanation:
I'm not sure if it's going from Triangle O to Triangle N
Or if its going from Triangle N to O
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute? There are 60 minutes in 1 hour.
The answer is .25 kilometers a minute.
This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer
You can check this answer by doing 15÷60 which comes out to .25 km a minute.
Answer:0.25m per minute
Step-by-step explanation:
You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes
Hope this helped :)
Tell me if it’s wrong :]
Help me please and thank
Answer:
Step-by-step explanation:
well just go throught the factors as far as you can ik from my personal mindset that 14*14= 196 so if i go bk and calculate 13*13=169 which means its gonna be in between 13 and 14. so to figure this out we have to write it out. so we can try 13.5*13.5=182.25 so we have to go higher 13.89*13.89=192.9321 which means it has to be 13.89 rounded to the nearest hundreth.
The question is on the problem no links please I will give brainliest
Answer:
54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2
Step-by-step explanation:
Equation for a triangle is A = (1/2) * b * h
Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2
Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2
Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
Are these triangles similar? If yes, write a similarity statement.
