Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
about the graph of the system.
Solve A and B
PLEASE HELP ASAP!!!
Answers
Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
[tex]\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0[/tex]
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
Related Questions
5X+17=7 PLEASE HELP FAST
WITH STEP FAST
Answers
Answer:
x=-2
Step-by-step explanation:
5x+17=7
5x=-10
x=-2
Answer:
you are looking for x right?
Step-by-step explanation:
5x+17=7
5x=-10
x=-2
x=-2 is the answer
Golfing
A golfer is aiming for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point
reaches 80 feet up in the air
3
Answers
Step-by-step explanation:
Using vertex form of a parabola:
y = a (x − h)² + k
where (h, k) is the vertex.
If we say the vertex is (0, 80), then:
y = a (x − 0)² + 80
y = ax² + 80
The roots of the parabola are (-60, 0) and (60, 0). If we plug this in:
0 = a (60)² + 80
-80 = 3600a
a = -1/45
Noemi's team's answer is incorrect.
What is the value of the expression: 2 x (24 + 8) *
Your answer
Answers
The value is 64.
How I got the answer :
Look at PEMDAS so first is parenthesis
24+8 = 32.
Next multiply 32 by 2 because M is next. 32 times 2 = 64
please put brainliest thanksss
Answer:
64
Step-by-step explanation:
2x(24+8)
2x32 or 32 plus 32
64
Question 7. Find M Please hurry :)
Answers
I hope this helps
Ask if you have any questions
-68 divided (-4)
Help ASAP
Answers
Answer:
Two negatives = positive (17)
Step-by-step explanation:
Answer:
Today: Wednesday, 14 October 2020
Hour: 12.58 WIB
______________________________
-68 divinded (-4) is 17
for factoring zero how do i solve? 3x^2-12x=0
Answers
Who here got zoom and can do math?
Answers
lol no use meeting. But zoom is good too.
2) -9u-17 = -5u -7
Yallll help meeeI’ve been stuck
Answers
Answer:
u = -4.8 :)
Step-by-step explanation:
-9u-17=-5u-7
-5u=24
24/-5=-4.8
How do i write the prime factorization of 360 using division by primes?
Answers
3602=180
A parking garage charges $8 for the first two hours and $1.75 for each additional hour. The function for the cost of parking in the garage for 2 hours or more is f(x) = 8 + 1.75(x – 2) , where x is the number of total hours parked in the garage. Find and interpret f(7) .
Answers
Answer:
I believe it would be 16.75 but ik not completely sure
The meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function for the cost of parking in the garage for 2 hours or more is f(x)=8+1.75(x–2), where x is the number of total hours parked in the garage.
Now, the meaning of f(7) is that a vehicle is parked for 7 hours in the parking garage. And its value can be found by substituting the value of x as 7 in the given function,
f(x) = 8 + 1.75(x – 2)
f(7) = 8 + 1.75(7 – 2)
= 8 + 1.75(5)
= 8 + 8.75
= 16.75
Hence, the meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
Learn more about Function here:
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If an investment account starts with $3900, and grows with 2.1% interest, compounded continuously. How much is the account worth after 10 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answers
Answer:
If they are asking amount it is $4800.893013; $4800 (nearest dollar)
If they are asking the amount for interest is $900.8930129; $900 (nearest dollar)
Step-by-step explanation:
Compound interest Formula:
Amount = principle( 1+ rate/100)^n
Information from the question.
-So how you put it is the principle is $3900; the rate is 2.1%; the n is 10.
How to apply it?
- Just substitute in the values;
Amount=3900(1+2.1/100)^10
=4800.893013
~4800 ( nearest dollar)
》That is for amount.
Interest=4800.893013-3900
=900.893013
~900 ( nearest dollar)
》That is for interest.
Hope it helps!!!!:))
Answer:
Step-by-step explanation:
A=Pert=3900e(0.021)(10)≈4811.34
The account is worth $4811 after 10 years.
The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
Answers
Answer:
A=3.1
B=3.2
Step-by-step explanation:
which of the following is equal to (1/a+a)^2 - (1/a-a)^2 ?
A) 0
B) 4
C) 1/a^2 - a^2
D) 2/a^2 - 2a^2
E) 1/a^2 - 4-a^2
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think its b
Step-by-step explanation:
I tried doing the work and got 4 so I hope its b
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h.
a:
How many minutes after the two cars start traveling will one car lap the other?
Answers
Answer:
200 minutes
Step-by-step explanation:
you first take the diffrence between 92 and 68, which is 12 and divide 80 by 12 which gets you 3 1/3 of an hour convert that to minutes which is 200 minutes
Answer:
200 minutes
Step-by-step explanation: plz?
David completed 12 math problems in 6 minutes. At this rate, how long will it take him to complete 50 math problems ? P
Please help I’ll mark you as brainliest if correct
Answers
Answer:
25 minutes...
Step-by-step explanation:
This is because if he can complete 12 math problems in 6 minutes when u simplify that u get 2 problems done per minute so that would make 50 problems done in 25 minutes
David take 25 minutes to complete 50 math problems.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
David completed 12 math problems in 6 minutes.
So, he will solve one math problem in= 6/12 = 1/2 minutes
Now, to complete 50 math problem he needs
=50 x 1/2
=50/2
=25 minutes
Hence, David take 25 minutes to complete 50 math problems.
Learn more about unitary method here:
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A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?
Answers
Answer:
$158.60 for the racquet
Jack's grades on his last 4 tests were 85%, 76%, 95%, and 81%. What does he need to get on his fifth test to have an average of at least 85%?
Answers
Answer:
he has to get at least a score of 88
Step-by-step explanation:
Answer:
84.25%
Step-by-step explanation:
85+76+95+81 = 337
337/4= 84.25
so Jack needs to get at least 84.25% on his fifth test to have an average of at least 85%:)
4. Stella is running in the 90 meter dash at her school track meet. If her speed is
6 meters/second, how long will it take her to run 90 meters?
Answers
Which number is equivalent to –(–2)?
Answers
The first negative sign cancels out the second, so 2 is equivalent to -(-2).
2A double negative number becomes a positive.
-(-2) = 2
The answer is positive 2
what is the decimal value of 3/5
Answers
Explanation: it is fairly easy, a fraction is always division so... all you need to do is 3 divided by 5, 3/5=0.6
Answer:
0.6
Step-by-step explanation:
Just divide 3 by 5. Fractions are also basically a division problem.
Hope this helps! :)
Mrs Buchanan is planning
Answers
Answer:
what?
Step-by-step explanation:
Answer:
Your question is not clear
I need help I currently have a c trying to make up some work
Answers
Answer:
y=(-2)
Step-by-step explanation:
x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer
please help me I don't understand ;-;
Answers
Answer:
-3.8
Step-by-step explanation:
to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]
Answer:
-3.8
Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8
simplify 7^6 x 7^5
(A) 49^11
(B) 49^35
(C) 7^11
(D) 7^35
Answers
Answer:
The answer is C) 7^11
Kelly buys four cardigans of the same price from a apparel store how much will she be billed if each Cardigin cost $79
Answers
Answer:
$316
Step-by-step explanation:
Since each cardigan costs $79 and there are 4 cardigans you would need to multyply 79×4. Which is $316. Kelly would be billed $316 for all four cardigans.
What are the coordinates of point A? (8, –6) (–6, 8) (–5, 7) (7, –5)
Answers
Answer:I think it is
7 -5
Step-by-step explanation:
Answer:
D-(7, –5)
Step-by-step explanation:
hope this helps:)
1 If f(x) = x - x9, what is the value of f(2)?
Can any1 help me with this question please
Answers
Pls mark me brainliest
Can u please help I will do Brainleyist
Answers
Answer:
the answer is B this other guy messed up his math trust me i know it's right
Step-by-step explanation:
if you add up all the numbers it equals 27 squar units
I have sandwich 11/12 of a foot long and 3/4 of it has pepperoni on it, how much of the sandwich doesn’t have pepperoni on it.
Answers
Answer:
2/12 or 1/6
Step-by-step explanation:
Make common denominators, 3/4 turns into 9/12. Take away 9/12 from 11/12, simplify if needed, and boom! done!
What is the answer to an addition problem called