Draw lines to match each equation on the left to its number of solutions on the right.
Answers
Answer:
1) The equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) The equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) The equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
Step-by-step explanation:
We need to solve the equation and match with its solution.
1) [tex]2(4x-1)=-8x-2[/tex]
Solving and finding value of x:
[tex]2(4x-1)=-8x-2\\8x-2=-8x-2\\8x+8x=-2+2\\16x=0\\x=0[/tex]
So, We get x =0
So, the equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) [tex]2(4x-1)=8x-2[/tex]
Solving the equation and finding value of x:
[tex]2(4x-1)=8x-2\\8x-2=8x-2\\8x-8x=-2+2\\0=0[/tex]
So, We get 0 =0
So, the equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) [tex]-2(4x-1)=-8x-2[/tex]
Solving the equation and finding value of x
[tex]-2(4x-1)=-8x-1\\-8x+2=-8x-2\\-8x+8x=-2-2\\0\neq -4[/tex]
So, we get 0 ≠ -4
So, the equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
Related Questions
Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343
Answers
Help please pleseee
Answers
Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answers
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
this is freckle math can someone help
Answers
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
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The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answers
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
Craig has a bank account with $2,100.00 in it. The money in the account is earning 9.99% interest. How much interest will Craig have earned after 6 years?
Answers
Answer:
$1258.74
Step-by-step explanation:
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answers
Thanks to the rise of texting, emojis are becoming increasingly common. What does this suggest about graphics?
Question 2 options:
They are now a significant part of communication.
They are only used by young people in our society.
They will replace written language entirely one day.
They serve the exact same function as medieval illustrations.
PLEASE IM BEING TIMED
Answers
Answer:
A. They are now a significant part of communication
Step-by-step explanation:
take care
Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) 8(8+4) 32(2)+1 32(2+1)
Answers
Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
X
X
60°
60°
X=[ ? 1°
Enter
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x+x+60+60=180
2x=60
X=30
Explanation: a entire triangle has a total of 180 degrees, I’m going to subtract 90 and 60 from 180 and that gives me the remaining amount(side) 30 which is the answer
list the sides for shortest to longest
Answers
Answer:
ac ab bc
Step-by-step explanation:
If C is the midpoint of AB, find the value of x.
Answers
Answer:
5x+6= 10x-8
14= 5x
x= 2.8
Step-by-step explanation:
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
Answers
9514 1404 393
Answer:
reasonable range: 0 ≤ y ≤ 5.5
Step-by-step explanation:
Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...
0 ≤ y ≤ 5.5
Please help me! Will actually mark Brainliest!!!!
Answers
Answer:
B
Step-by-step explanation:
Which is a possible turning point for the continuous function f(x)?
Answers
Resultados de búsqueda
Fragmento destacado de la Web
For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis. But the coordinate (0, –2) is the lowest point on the graph. Therefore, (0, –2) is the turning point for the continuous function given
nandu06 I need help with these word problems, there's 2 btw.
Answers
Answer:
thats all hope u got it
Step-by-step explanation:
pls do mark be the brainliest.
What is the value of the expression?
3
131
3
152
Answers
16/19 as a decimal rounded to the nearest tenth
Answers
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answers
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
Find the number of ways 5 men and 4 women can be arranged in a line if the men and women must alternate.
Answers
Answer:
man women man women man women man women man
Step-by-step explanation:
hope it helps
Answer:
As there are 5 men and 4 women and they have to arrange a line, they should be positiones like this to be alternated:
MAN - WOMAN- MAN - WOMAN - MAN - WOMAN - MAN - WOMAN - MAN
In the first position they can be put 5 mans, but in the third, 4, as one has been put before, and in the fifth 3, and in the seventh 2 and in the ninth one.
In the second position they can be put 4 women, then 3, then 2 and then one.
We can multiply this:
5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 2880
There are 2880 possibilities to form a line alternating them..
A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?
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Answer:
the answer is 9 inches
360/10=36
36*.25 =9
PLEASEEE HELP MEEE WITH THISS
Answers
Answer: The answer is D
Step-by-step explanation:
Because yes lol
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Answers
EXPLANATION: if you graph them then you’ll see they fully overlap so there will be infinite solutions
"circle" all the equivalent expressions to 2x-5y+3 Please tell me which are equivalent 1. X+x-y+1+1+1-y-y-y-y 2. -2+2x+3+(-2y)-y 3. -5y-x-x+2+1 4. Y+y+y+y+y-2x-1-1-1 5. 2+1+x-y+x-2y 6. X-y+x+1-y-3y+2
Answers
Given:
The expression is
[tex]2x-5y+3[/tex]
To find:
The equivalent expressions.
Solution:
We have,
[tex]2x-5y+3[/tex]
In option 1,
[tex]x+x-y+1+1+1-y-y-y-y[/tex]
[tex]=(x+x)+(-y-y-y-y-y)+(1+1+1)[/tex]
[tex]=2x-5y+3[/tex]
So, the expression in option 1 is equivalent to the given expression.
Similarly,
In option 2,
[tex]-2+2x+3+(-2y)-y[/tex]
[tex]=2x-3y+1\neq 2x-5y+3[/tex]
So, the expression in option 2 is not equivalent to the given expression.
In option 3,
[tex]-5y-x-x+2+1[/tex]
[tex]=-2x-5y+3\neq 2x-5y+3[/tex]
So, the expression in option 3 is not equivalent to the given expression.
In option 4,
[tex]y+y+y+y+y-2x-1-1-1[/tex]
[tex]=-2x+5y-3\neq 2x-5y+3[/tex]
So, the expression in option 4 is not equivalent to the given expression.
In option 5,
[tex]2+1+x-y+x-2y[/tex]
[tex]2x-3y+3\neq 2x-5y+3[/tex]
So, the expression in option 5 is not equivalent to the given expression.
In option 6,
[tex]x-y+x+1-y-3y+2[/tex]
[tex]=2x-5y+3[/tex]
So, the expression in option 6 is equivalent to the given expression.
Therefore, the correct options are 1 and 6.
Maddie can not decide which of two Ski sets to buy. The original price of each is $850. The first ski set is marked 50% off. The second was marked down by 30% then a few days later an additional 20% off. 1. Find the sale price of the first ski set... 50% off. Show your work. 2. Find the Sale Price of the Second Ski Set Marked 30% then 20%. Show your work. 3. Which one is a better deal for Maddie and why?
Answers
Answer:
$425i. $595 ii. $476First skiStep-by-step explanation:
1. The first ski was valued at $850 but was then given a 50% discount. The sales price will therefore be:
= 850 * ( 1 - 50%)
= 850 * 50%
= $425
2. The first one was first discounted by 30% so the sales price was:
= 850 * ( 1 - 30%)
= 850 * 70%
= $595
It was then marked down by a further 20%:
= 595 * ( 1 + 20%)
= $476
3. The first ski is a better option because the discount makes it cheaper than the second ski even after the second ski had been discounted twice.
question : fine the location of points a after a translation of 9 units up? Can someone please help me ?
Answers
Answer:
(-1,3)
Step-by-step explanation:
count 9 up
Answer: -1,3 not sure
Step-by-step explanation:
Jessica earned some money babysitting. She spent 1/5 of her money on lunch. She spent 1/6 of her money on gas for her car. She saved the
remaining $78.40. How much money did she earn babysitting
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Which of the following statements about JK and JL is true?
A. JK is longer than JL
B. JK and JL are the same length
C. JL is longer than JK
JK IS 9 units long
Answers
Answer:
jk is longer than jl
Step-by-step explanation:
The distance between J and L is more than J and K hence, the correct option will be (A).
How to find the distance between any two points?
To find the distance between any two points first assign any one point by (1) whose coordinates will be (x₁, y₁) and assign the remaining point with (2) whose coordinates will be (x₂,y₂).
Now, use the below formula to find out the distance
[tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
Let's assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign L by (2) whose coordinate (1,-1) work like (x₂,y₂).
Now by the distance formula, the distance JL is
⇒ [tex]\sqrt{(1-2)^2 +(-1-4)^2}[/tex]
⇒ [tex]\sqrt{(-1)^2+(-5)^2}[/tex]
⇒ [tex]\sqrt{26[/tex] = 2.236
Now again assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign K by (2) whose coordinate (7,-8) work like (x₂,y₂).
Now by the distance formula, the distance JK is
⇒ [tex]\sqrt{(7-2)^2 +(8-4)^2}[/tex]
⇒ [tex]\sqrt{(5)^2 +(4)^2}[/tex]
⇒[tex]\sqrt{(41)}[/tex] = 6.403
Hence, it's clear that the JK is longer than JL.
For more information about the distance formula
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help a brother out ya boy is lazy and don't wanna work.
Answers
Answer:
10
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
Rajesh and his brother Mohib are each mailing a birthday gift to a friend. Rajesh package weighs three more pounds than twice the weight of mohib's package The combined weight of both packages is 15 pounds
Answers
Answer:
Weight of Mohib package = 4 pounds
Weight of Rajesh package = 11 pounds
Step-by-step explanation:
Let
Weight of Mohib package = x
Weight of Rajesh package = 2x + 3
Total weight = 15
Total weight = Weight of Mohib package + Weight of Rajesh package
15 = x + (2x + 3)
15 = x + 2x + 3
15 - 3 = x + 2x
12 = 3x
x = 12/3
x = 4 pounds
Weight of Mohib package = x
= 4 pounds
Weight of Rajesh package = 2x + 3
= 2(4) + 3
= 8 + 3
= 11 pounds