Answers
Answer:
The system has "infinitely many solutions; consistent and dependent" ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution.
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution.
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solutionIn the given system of equations
∵ r = -5s + 7
∵ r + 5s - 7 = 0
→ Put the equations in the form of equations above
∵ r = -5s + 7
→ Add -5s to both sides
∴ r + 5s = -5s + 5s + 7
∴ r + 5s = 7 ⇒ (1)
∵ r + 5s - 7 = 0
→ Add 7 to both sides
∴ r + 5s - 7 + 7 = 0 + 7
∴ r + 5s = 7
∴ r + 5s = 7 ⇒ (2)
→ By subtracting equations (1) and (2)
∵ (r - r) + (5s - 5s) = (7 - 7)
∴ 0 + 0 = 0
∴ 0 = 0
→ By using rule 1 above
∵ r = r
∵ 5s = 5s
∵ 7 = 7
∴ The system of equation is consistent dependent and has infinitely
many solutions
∴ The system has "infinitely many solutions; consistent and dependent"
Related Questions
-0.05w=14 what property did you use
Answers
Answer:
280.
Step-by-step explanation:
-0.05×14= 280 280× -0.05=280
(-2,11)slope -4 write the linear equation
Answers
Answer:
y = − 4 x + 3
Step-by-step explanation:
Ella bought some key chains and spent a total of $15. Each key chain cost the same whole-dollar amount. She bought between 4 and 9 key chains. How many key chains did Ella buy? Ella bought key chains
Answers
Answer:
5
Step-by-step explanation:
Total amount spent = $15
Number of chain purchased is between 4 and 9
Cost per chain is a the same (whole dollar)
Number of Chain purchased = (total cost / cost per chain)
Since the total cost = $15
The only whole number value which can divide $15 without a remainder and give a value between between 4 and 9 is 3.
Therefore, cost per chain = $3
Hence, number of chain purchased = $15 / $3
= 5
write two numbers that multiply to the value on top and add to the value on the bottom.
Answers
Answer:
2 and 22
Step-by-step explanation:
-2 x 22
and
22-2
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Answers
Answer:
x > 5
Step-by-step explanation:
In order to solve you need the variable alone.
x + (-2) > 3
x - 2 > 3
+2. +2
x > 5
Answer:
Add 2 to both sides.
Step-by-step explanation:
y
9
1
8
71
5-
4-
3
I
2
4 -3 -2
-2 -1
2.
3
4
5
6
7 8
Write down the 3 inequalities which define the unshaded region.
Answers
Answer:
what?????.. .to do........
HELP ASAP!! 10 POINTS!!
A student’s bank account is overdrawn. After making a deposit of $260, he finds that his account
is still overdrawn by $70. What was his balance before he made the deposit?
Answers
HELP HURRY GIVING BRAINLYEST Which division expression is equivalent to 4-1/3
O. ——
5 13. 5
O 83. ——
13 5. 6
0-13.00)
Answers
Select all the true statements about the graph of a line that slants downward from left to right.
Answers
Answer:
It's decreasing
Step-by-step explanation:
Bria works at an ice cream shop for every 20 scoops of ice cream Peyton uses 1 packet of sprinkles for every 80 scoops of ice cream how many packets of sprinkles does she use? Use a table to solve using rations show it to meeee
Answers
Answer:
4 packets
Step-by-step explanation:
If we were to have 1 packet per 20 scoops, then for 80 packets we would just multiply by 4. So 1 times 4 is well, 4.
1. The Vista Marina rents boats for $25 per hour. In addition to the rental fee,
there is a $12 charge for fuel. Use a table to determine if the number of hours
Guided Practice
you rent the boat is proportional to the total cost
. Explain. (Examples 1-3)
Rental Time (h)
Cost ($)
Nate Yourself!
Answers
Answer:
25+12=37 37 for the rental and fuel
1hr= 37
2hr=74
3hr= 111
n a circle graph displaying the most popular juice sold to students in the school cafeteria, the ratio of apple juice boxes to total juice boxes sold is 34
. What is the angle measure of the
Answers
what is the volume of this rectangular prism?
Answers
Answer:
Where?
Step-by-step explanation:
Where’s the rectangular prism?
Answer: no rectange
Step-by-step explanation:
I need help with is asap
Answers
Answer:
1) Δy = 9, Δx = -6, slope = Δy/Δx = -3/2
2) Δy = 7, Δx = -3, slope = Δy/Δx = -7-/3
3) Δy = -6, Δx = 6, slope = Δy/Δx = -1
4) Δy = 5, Δx = 8, slope = Δy/Δx = 5/8
5) Δy = 3, Δx = 11, slope = Δy/Δx = 3/11
6) Δy = 7, Δx = 6, slope = Δy/Δx = 7/6
7) Δy = 2, Δx = -5, slope = Δy/Δx = -2/5
8) Δy = 8, Δx = 4, slope = Δy/Δx = 2
Step-by-step explanation:
The rates of change of two data sets can be compared by finding:
the initial values.
ООО
the slope of each trend line.
how close the points are to the line.
the y-intercepts.
Answers
Answer:
the slope of each trend line
Step-by-step explanation:
The rate of change of the variables (dependent and independent) in the linear model is given by the slope or gradient of the regression model usually represented as :
y = bx + c ; where b is the slope and gives the change in y per change in the value of x.
Hence, when intending to find the rate of change of different Datasets, the slope of the trend line corresponding to each dataset is compared in other to determine the identify the differences in the rate of change of each dataset.
Answer:
b
Step-by-step explanation:
Can somebody help me please??
Answers
Answer:
$0.81
Step-by-step explanation:
2.45/3
each were $0.81
Answer:
0.82
Step-by-step explanation:
2.45 divided by 3 is 0.8166666666 so it rounded would be 0.82
A piece of wire is 7/8m long broke into two piece one piece is 1/4 m long how long is the other one ?
Answers
Answer: 5/8m
Step-by-step explanation:
From the question, we are informed that a piece of wire is 7/8m long and broken into two piece. We are further told that one piece is 1/4 m long.
The length of the other piece of wire would be calculated as:
= 7/8 - 1/4
= 7/8 - 2/8
= 5/8m
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 33 cards, which was 2% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answers
Answer:
redes sociales fff
ffkr
Jeremy needs to measure the width of an oil
Spill He sets up similar triangles as shown in the
diagram
1
75 km
о
150 km
oil
spill
X
O
50 km
25 km
40 km
20 km
20 km
27. How wide is the oil spill?
CLEAR ALL
Answers
The two triangles given in the diagram are said to be similar, so that their sides can be compared. Therefore, the width of the oil spill is 50 km.
A triangle is a figure with three sides. Two or more triangles are said to be similar if and only if their sides have relating figures. Thus, to determine the width of the oil spill, the two given triangles are to be compared. This would result to:
[tex]\frac{20}{40}[/tex] = [tex]\frac{25}{x}[/tex]
x = [tex]\frac{40*25}{20}[/tex]
= [tex]\frac{1000}{20}[/tex]
= 50
x = 50 km
Therefore the width of the oil spill is 50 km.
For more on similar triangles, check: https://brainly.com/question/16983333
PLEASE PLEASE HELP I REALLY NEED IT <3
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Use a compass to draw an arc from point Q that intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT, and use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Step 3:
Step 4: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to AQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Adjust the width of the compass to NX, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Answers
Answer:
c
Step-by-step explanation:
cccccccccccccccccccccccccccccccccccc
Answer: Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
The model below represents 4 x + (negative 4) = negative 2 x + 8.
4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.
What is the value of x when solving the equation 4 x + (negative 4) = negative 2 x + 8 using the algebra tiles?
x = negative 4
x = negative 2
x = 2
x = 4
Answers
Answer:
x = 2
Step-by-step explanation:
4 x + (negative 4) = negative 2 x + 8
4x + (-4) = - 2x + 8
4x - 4 = - 2x + 8
4x + 2x = 8 + 4
6x = 12
[tex]x = \frac{12}{6} \\ \\ x = 2[/tex]
Answer:
C. x = 2
Step-by-step explanation:
On edge
PLEASEE HELP!!! find the area
(look at the picture)
Answers
Answer: Area= 60The Area is 60
Step-by-step explanation: Multiply 5 and 12 and you get 60!! I hope it helped!
Tamika makes a 6% commission selling electronics. How much commission does she make if she sells a flat-screen TV for $7,000?
Answers
Answer:
$420
Step-by-step explanation:
Find 6% of 7000
The commission will be $420 for the $7000 TV
Aluminum and tin are both metals. The standard atomic weight for aluminum is 26.98. The standard atomic weight for tin is 118.71.Estimate the difference between the standard atomic weights of these two metals
Answers
Answer:
92
Step-by-step explanation:
To estimate the difference between the standard atomic weights of these two metals we round up the given weights to the nearest whole number
The standard atomic weight for aluminum is 26.98.
To the nearest the whole number = 27
The standard atomic weight for tin is 118.71
To the nearest whole number = 119
Hence,
The estimated difference = 119 - 27
= 92
have
Recently, the value of Rafi's college savings fund decreased by $12. If his fund was worth
$434 before, how much is it worth now?
Submit
Answers
Answer:
Step-by-step explanation:
422 because 434 - 12. Also , deceased mean make or become smaller or fewer in size, amount, intensity, or degree.
Why does HIV attack T cells
Answers
Answer:
The reason HIV attacks T cells are because T cells produce antibodies that kill HIV.
Step-by-step explanation:
Your white blood cells help to fight off infection, The reason HIV attacks T cells are because T cells produce antibodies that kill HIV. Its like a battle between the two. HIV wants to stay there and T cells are trying to get rid of it so T cells are HIV main target.
The corner store sells carrots at a rate of $1.50 per carrot. If Isabella has $6.00 dollars, how many carrots
can Isabella buy?
Answers
Answer:
4 Carrots
Step-by-step explanation:
6/1.5 =4
Answer:
4
Step-by-step explanation:
Find how many times you can fit 1.5 into 6 by dividing. this will result in an answer of 4 times
10th Grade Algebra/Geometry class
Answers
Answer:
x=4
Step-by-step explanation:
divide the x-value by the y-value. 9/36 =0.25.
0.25*16=4
x=4.
Write an equation in slope-intercept form for
the line perpendicular to y = -6x + 6 that
passes through the point (8,6).
Answers
why did she leave me :(
Answers
Answer:
She went to go get the milk
Step-by-step explanation:
wait a minute ...............
