Which statements are true about the ordered pair (−1, 5) and the system of equations?
Answers
Answer:
Option D is correct answer.
Step-by-step explanation:
We are given the system of equations:
[tex]x+y=4\\x-y=-6[/tex]
Solving the system of equations to find values of x and y
Let:
[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]
Adding both equations to find value of x
[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]
So, we get value of x: x=-1
Now, putting value of x: x=-1 into equation 1 to find value of y
[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]
So, we get value of y: y=5
The ordered pair will be: (-1,5)
So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.
Checking:
Put x=-1 and y=5 in equation 1
[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]
Put x=-1 and y=5 in equation 2
[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]
So, both equations are true.
Therefore, Option D is correct answer.
Related Questions
Two athletes Or training over a two week period to increase the number of push-ups each can do consecutively . Athlete a can do 16 push-ups to start and increase his total by each to each day. Athlete b can do 12 push-ups to start an increase he's so tall by three each day. Compare the initial values for each what does the initial value mean in the situation
Answers
Answer:
Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b
Step-by-step explanation:
Athlete a perform 16 push-ups to start and increase 1 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete A is
n = number of push-ups for athlete A= 16 + x
Athlete b perform 12 push-ups to start and increase 3 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete B is
m = number of push-ups for athlete B = 12 + 3x
where x is the number of days
thus, total number of athletes at the end of 14 day is
n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day
Now similarly for the initial day x = 0
thus, total number of athletes at the starting of 1st day is
n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.
That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a
Answer: The initial value for Athlete A is greater.
Pay attention for the keyword initial value.
I got no explanation D:
I need help with this math problem
what is 15% of $58?
Answers
Answer:
15% of 58
15÷100×58
may this help u
Answer: $ 8.70
Step-by-step explanation: 0.15 x 58 = 8.7
Which expression is equivalent to the equation?
Answers
Answer:
Option 1
Step-by-step explanation:
The given equation equals 3072, so find the other equation that equals 3072.
Option 1 = 3072 - correct
Option 2 = 432 - wrong
Option 3 = 2883 - wrong
Option 4 = 432 - wrong
I hope this helps!
1) Write an equation of a line that
is parallel to y = -5x + 2 and
passes through (-1, 4).
Answers
Answer:
y=-5x + 4
Step-by-step explanation:
Answer:
y=-5x-1
Step-by-step explanation:
It goes through the point (-1,4)
Isabel finished her history assignment in 1/5 hours. Then she completed her math assignment in 1/2 hours. What was the total amount of time Isabel spent doing these two assignments?
Write your answer as a fraction in simplest form.
Answers
Answer:70/100 or 7/10
Step-by-step explanation:
one hour is 60 mins
1/5 of an hour is 12 mins
1/2 of an hour is 30
30 + 12 = 42
42/60 simplified is 7/10
Find the measure of the missing angle.
Answers
Answer:
Hi
U should do like this
90-51=39...
Answer: 39 degrees
Step-by-step explanation:
Right angle is 90 degrees so 51 plus a will equal 90
A is 39 degrees
Hello will you help me with this?
Answers
Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
HELP!!! NEED ANSWER ASAP!
Answers
Answer:
Yeah he's right...
Step-by-step explanation:
Which equation requires the division property of equality to be solved? 201.6 = 11.2 f 35.4 = z divided by 3.1 StartFraction t Over 3.2 EndFraction = 15.1 201.6 = 11.2 + c
Answers
Answer:
c and a
Step-by-step explanation:
Answer:
A for a Edge ppl out dere
Step-by-step explanation:
im right
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
A little girl is looking to select one crayon and one coloring book to do some drawing. She has 6 different colored crayons and 3 coloring books. How many different combinations of crayons and coloring books can she make if she selects one crayon and one coloring book to use?
Answers
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answers
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
Half a number decreased by 25 put into a equation
Answers
Answer:
1/2 - 25
Sana nakatulong
PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!
Use the description of AABC below to solve Parts A and B.
m
Part A: Which of the following is the value of x?
A. x = 10
B. x= 5
B. x = 4
D. x = 2
Part B: Order the sides of ABC from shortest to longest. Drag and drop the displayed choices to order.
Answers
What would be the total cost of software F
over time?
Answers
The total cost of software F over time is $5000.
What is a satisfaction rate?For questions involving Customer Satisfaction Score, "Satisfaction Rate" is computed. It's calculated to provide you with an overall satisfaction rating of your respondents' responses to your goods and services.
Cost of Software F = $10000
Satisfaction rate with Software F = 90%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $5000
Percentage of not satisfied = 10%
The total cost of Software F over time is :
= {($10000 x 90% - $0) + ($10000 x 10% - $5000)}.
= $5000
Therefore, cost of software F over time is $5000.
Learn more about the satisfaction rate : https://brainly.com/question/25940131
#SPJ2
How many solutions will this system of equations have??
Please explain your thinking
Answers
Priya is buying raisins and almonds to make trial mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds,a,pounds of rasins,r,and the total coast is represented by the equation 5.20a+2.75r=11.70 How many pounds of rasins did Priya buy if she bought 1.5 pounds of rasins
Answers
Answer:
It would be roughly 5 lbs.
Step-by-step explanation:
Add then divide the amount of rasins to the cost of almonds oiefp
ﾟ+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)
♡━━━━━━━━━♡
︎thank you! ♡´･ᴗ･`♡
Answers
Answer:2,1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Answers
Answer:
Domain: Al real values
Range: All real numbers
Step-by-step explanation:
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Given the functions'
f(x)=e^x and g(x)=x+6.
gof(x) = g(f(x))
g(f(x)) = g(e^x)
Substitute x with e^x in g(x) as shown:
g(f(x)) = e^x + 6
The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values
which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8
Answers
Answer:
<1 and <8
Step-by-step explanation:
<1 and <8 are alternate angles and has same measurement.
Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left
Answers
Reasoning: 5.25 – 4.875 = 0.375, transferred back into a fraction would be 3/8
The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km
Answers
Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?
Answers
Answer:
11
Step-by-step explanation:
Help me on this new one please
Answers
For the function of f ( x ) = − 2 x^ 2 + x + 1, find f (3).
Answers
Step-by-step explanation:
f(3)= -2×3²+3+1
= -18+3+1
= -14
hope it helps.
Answer: = ± 2 √ 2
Step-by-step explanation:
Ill give brainliest
Describe a situation where you might need to know the percent that something changed.
Answers
Answer:
Change: subtract old value from new value. Example: You had 5 books, but now have 7. The change is: 7−5 = 2. Percentage Change is all about comparing old to new values.
Step-by-step explanation:
hope this helps :)
Answer:
When finding the climate of an area
Step-by-step explanation:
Ex. Rainfall increased 30% since 2019 in florida (not true just an example)
What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?
a) 3x + 10y = 44
b) 3x + 10y = -50
c) 3x + 10y = -44
d) 3x +10y = 50
Answers
Answer:
a it's a :)
Step-by-step explanation:
Given the function f (x) = x² + 5, evaluate f (-10)
Answers
Answer:
f(-10)=105
Step-by-step explanation:
When something says f(x), the (x) is your plugin value. So basically in this scenario, x= -10
1) f(-10)= (-10)^2+5
2)f(-10)= 100+5
3) f(-10)= 100+5
Ok hopefully I remembered my properties of exponents correctly, but I'm pretty sure that's the answer. If it isn't, you should try making the 100 negative instead of positive from step 2 and work from there.
helppppppppppppppppp again
Answers
Answer:
hola xD
como estas?
Step-by-step explanation:
x=30
six times five =x
Can anyone help me with this question? <3 please and thank you!
Answers
Answer: 3/2 I’m on something similar rn
Step-by-step explanation: