How can you tell from the equations, without graphing, how many solutions the system has?
Answers
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!
Related Questions
what is the answer for this question 7(x+4)-7=48-2x
Answers
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
Help plz, no links.
Answers
Answer:
1) g = -8 (one solution)
2) b = 0 (infinitely many solutions)
3) w = 5/6 (one solution)
4) c = 0 (infinitely many solutions)
Step-by-step explanation:
1) 1/2g -4 = 2g - 1/2g + 4
1/2g -2g +1/2 g = 8
-g = 8
2) 5.3-5.3 = 2.1b + b - 3.1b
0=0
3) 3/4w+ 3/4w = 10/4 - 5/4
3/2w = 5/4
w = (5/4) / (3/2)
w = 5/6
4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5
0 = 0
Reduce the radical 176
Answers
Answer: [tex]\boldsymbol{4\sqrt{11}}\\\\[/tex]
Work Shown:
[tex]\sqrt{176}\\\\\sqrt{4*44}\\\\\sqrt{4}*\sqrt{44}\\\\2*\sqrt{4*11}\\\\2*\sqrt{4}*\sqrt{11}\\\\2*2*\sqrt{11}\\\\\boldsymbol{4\sqrt{11}}\\\\[/tex]
The idea is to factor the number such that we pull out perfect square factors. We use the rule that [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to help break up the root. We also use the idea that [tex]\sqrt{x^2} = x[/tex] when x is nonnegative.
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answers
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answers
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
To solve more questions on equation modelling, visit the link below -
brainly.com/question/29299318
#SPJ2
What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?
Answers
Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
Find the difference between 1/6 and 1/2
Answers
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
100 points and only highly intelligent persons are qualified
What is the equation for finding the value of √x. I need to be able to put x into the equation and result in the square root.
Answers
You can solve it by using this steps
Step-by-step explanation:
Isolate the radical on one side of the equation.Square both sides of the equation.Solve the new equation.Check the answer. Some solutions obtained may not work in the original equation.
Answer:
It's probably 12
Step-by-step explanation:
100+100=200
200+100=300 divided by 10 is 12
I need help with something in school.
Answers
Answer:
what do you need help with
Step-by-step explanation:
:)
Answer:
ask......
Step-by-step explanation:
is this a dilation of 1/2 or a dilation of 2
Answers
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
m = 11
n = 145
p = -4
As you substitute the equation -2x^2 – 11x + 3 = 0 (from factorising x(-2x-11) = -3) into the quadratic formula to find the values of m, n and p.
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?
Answers
Answer:
142.55
Step-by-step explanation:
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answers
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
If you received 5 one hundred dollar bills, 7 one thousand dollar bills and 7 one dollar bills, how much money did you get? Write the number in standard form.
Answers
Answer:
$7,507
Step-by-step explanation:
4.3-3 (4r-3)=0.7 (6r-10)
Answers
4.3-3(4r-3(=0.7(6r-10
We move all terms to the left:
4.3-3(4r-3(-(0.7(6r-10)=0
26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)
Answers
Answer:
I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH
Step-by-step explanation:
Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?
Answers
Answer:
5.
Step-by-step explanation:
First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;
34÷(2+1+3)
Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.
Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.
Alec's: 35÷(3+2+2)=5
Amani's: 49÷(5+3+2)=4.9
Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!
So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
Answers
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
Write an inequality that represents the graph.
Answers
espaneool
Step-by-step explanation:
how would i plot this on a graph?
Answers
Answer:
(1, 4)
Step-by-step explanation:
im assuming that the point is h(1) = 4
this point is basically just h(x) = y
1 is your x
4 is your y
you plot it at the point (1, 4)
88800 divided by 10 to the second power explanation of change in digits
Answers
Answer:
4440
Step-by-step explanation:
easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.
Rewrite the fraction 2/7 as a division expression with the same numbers.
Answers
Answer:
EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7
Step-by-step explanation:
Helpppppppppp plssssssssss
Answers
Answer:
12 in.
Step-by-step explanation:
We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.
the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?
Answers
Answer:
since opp. angles of a parallelogram is equal.
therefore,
let the angle be x
thus,
x+x=140
2x=140
x=70°
co interior angles are supplimentary,
thus,
x+y=180
y=180-70
y=110°
opp. angles are equal thus,
fourth angle =110°
1st angle=70
2nd angle=70
3rd angle =110°
Step-by-step explanation:
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answers
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
Answers
Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.
Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.
We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.
Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.
Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.
One phone costs $9, and an accessory costs $2.
The LCM of 2, 3, and 4 is _____. 24 12 6
Answers
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
Learn more about LCM:
https://brainly.com/question/20739723
#SPJ2
can someone help me answer this
Answers
[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]
Channing jogs 10 miles a week. How many miles will she jog in 57 weeks?
Answers
Answer:
Simple! Multiply 57 by 10...
The answer is 570 miles in 57 weeks!
Answer:
570 miles per 57 weeks
Step-by-step explanation:
set a proportion;
10 miles x miles
----------- = ------------
1 week 57 weeks
57/1 = 57
10 x 57 = 570
x = 570
What has a slope of -1/2 and an x intercept of -8
Answers
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8