(a) has no solutions.
(b) has infinitely many solutions.
(c) has exactly one solution.
Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?
Answer:
2x^2
Step-by-step explanation:
X^2*2= 2x^2
Big brain strat :)
9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.
can someone give me a hand
Answer:
Where's the table
Step-by-step explanation:
The ratio of Miles to Minutes is 3:1. How many minutes would it take to go 12 Miles
Answer:
4 minutes
Step-by-step explanation:
Miles to Minutes = 3:1
Miles to Minutes = 12:?
12/3=4
Miles to Minutes = 12:(1x4)
Miles to Minutes = 12:4
Miles = 12
Minutes = 4
Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.
Naviah got a new job that requires her to commute. She drives at least 30 miles but less than 50 miles each week.
Part A. First write the compound inequality representing all possible disances in miles (x) Naviah could drive for 4 weeks.
Part B. Explain while you chose the symbols you used for the endpoints of the compound inequality in Part A.
Part C. Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from $2.25 to $2.50 per gallon each week. Write a compound inequality to model all of the possible amounts of money (m) Naviah spends on gas each week. Show or explain all work in detail
Step-by-step explanation:
Part AAt least 30 miles but less than 50 miles each week.
Required inequality:
30 ≤ x < 50In 4 weeks:
120 ≤ 4x < 200Part B"At least" means equal or more than 30, hence 30 ≤ xLess than 50, hence x < 50Part CAt least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.
Match the lowest and highest ends. This is converted as:
8*$2.25 ≤ m ≤ 12*$2.50Simplified:
$18 ≤ m ≤ $30The total age of 5 children aged 3 years is 50 years. Find the age of the youngest and oldest child?
Given:
Consider the total age of 5 children with age difference 3 years is 50 years.
To find:
The age of the youngest and oldest child.
Solution:
Let the ages of the 5 children are x-6, x-3, x, x+3, x+6.
Sum of their ages is 50 years.
[tex](x-6)+(x-3)+x+(x+3)+(x+6)=50[/tex]
[tex]5x=50[/tex]
[tex]x=\dfrac{50}{5}[/tex]
[tex]x=10[/tex]
The age of the youngest child is
[tex]10-6=4[/tex]
The age of the oldest child is
[tex]10+6=16[/tex]
Therefore, the age of youngest child is 4 years and the age of the oldest child is 16 years.
Simplify -1-5/2-12
Divide: -27/10 divide 18/75
Measurement of angles
Answer:
Measuring an angle using a protractor in anticlockwise direction:
This is measurement in anticlockwise direction. Thus, we will use the inner scale to measure the angle.
The centre of the protractor is placed on the vertex B of the angle ABC. The base line of the protractor should coincide...
Read the markings where the arm BC overlaps the markings on the protractor.
Step-by-step explanation: Hope this helps :)
find the slope of the line
-6/1 it said i wont letme give u the answer unless i do this so ywahhhhhhhhh
5z+7=3 what solution
Answer:
z = -4/5
Step-by-step explanation:
5z + 7 = 3
5z = -7 + 3
5z = -4
z = -4/5
Hope this helps :)
Let me know if there are any mistakes!!
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
guys I really need help plsss
Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
what is the coefficient of x in the equation?
y=x+4
Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
Each tile is 3/2 feet by 3/2 feet. There are 10 tiles on the bathroom floor.
What is the area covered by the tiles?
Explain how you know.
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
Solve the equation d- 1/4 = 3
Answer:
d = 13/4
Step-by-step explanation:
Answer:
d= 13/4 or 3.25
plz give brainliest
Step-by-step explanation:
.................................................
Answer:
(7,-4)
Step-by-step explanation:
3+2=5. 5+2=7
6-5=1 1-5=-4
(7,-4)
The radius of a circle is 7 centimeters. What is the circle’s circumference?
Use 3.14 for pi
Answer:
43.96
Step-by-step explanation:
Circumference formula: 2 x r x pi
2 x 7 x 3.14= 43.96
The table shows a function. Is the function linear or nonlinear?
x y
7 20
8 12
9 7
Answer:
Non-linear because none of them repeat.
Step-by-step explanation:
Can someone tell me the answers ?
Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.
Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.
7-4/2-1 = 3/1= 3
4-3/1-0= 1/1= 1
Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)
The second one has an exponent on the x, so it is not linear.
The third is a line so it is linear.
Answer:
Nonlinear, Nonlinear, Linear
Step-by-step explanation:
For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.
What is the decimal equivalent of 3/6%
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.
What is the multiplicative rate of change of the function?
Answer:
b. x/8 + x/16 = 3/4
4 miles
Step-by-step explanation:
edge
you have a pie with 6 pieces and you eat 2. what fraction is that?
Answer:
1/3 is eaten and 2/3 is left
Step-by-step explanation:
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?
Answer: 6/14
Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14
on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
11-
10
9
OP
7
6
Weight (kilograms)
01
NO
X
1
2
3
8
9
10
4 5 6 7
Age (months)
The scatter plot shows the weight of a child each month.
per month.
kilograms. The child gains an average of
The birth weight of the child is
Reset
Next
Answer:
13 kg
Step-by-step explanation:
I'm 14 years old so my weight was 50 kg
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group
has 25 students and 4 adult chaperones.
The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations
below.
30s + 4a = 720
25s + 4a = 620
What is the cost for each student ticket?
Answer:
Step-by-step explanation:
Given AB congruent to EB and BD congruent to BC why is angle ABC congruent to EBD
Answer:
SAS
Step-by-step explanation:
Side angle side Test
2 sides are given equal and angle between these two side is equal in both triangle
hence by SAS test
Triangle ABC and EBD are congruent
