Which one of these equations has one solution, and which has no solutions? (Math)
Answers
One solution means that x will only equal one number.
Many solutions means that no matter what number you replace x with, the equation will still be true.
No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.
One solution: x - 2 = 12
Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:
x - 2 (+2) = 12 (+2)
x = 12 + 2
x = 14
Many solution: x + 3 = 3 + x
Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:
If x = 1:
1 + 3 = 3 + 1
4 = 4
If x = 2:
2 + 3 = 3 + 2
5 = 5
etc.
No solution: x - 1 = x + 5
Check: No matter what number you plug in for x, both sides of the equation will not match. Check:
If x = 1:
1 - 1 = 1 + 5
0 ≠ 6
If x = 2:
1 - 2 = 2 + 5
-1 ≠ 7
etc.
~
Related Questions
A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?
Answers
Answer:
17
Step-by-step explanation:
11 - 2(-3) = 11 + 6 = 17
should put -3 where x is
Help me with this?!!!!
Answers
Answer:
14
Step-by-step explanation:
we can use sin(30⁰) to solve this and the units will be 14
What two numbers have a product of -54 and a sum of -3?
Answers
Answer:
-9 and 6
Step-by-step explanation:
Answer:
-9 and 6
Step-by-step explanation:
-9X6 is -54
and -9+6 is -3
In her metalwork class, Anja cut a square of
tin, of edge 3.7 cm, from a larger square of
edge 6.3 cm. What area of tin was left?
Answers
Given:
Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.
To find:
The area of the remaining tin.
Solution:
Area of a square is:
[tex]Area=a^2[/tex]
Where, a is the edge of the square.
Area of the smaller square is:
[tex]A_1=(3.7)^2[/tex]
[tex]A_1=13.69[/tex]
Area of the larger square is:
[tex]A_2=(6.3)^2[/tex]
[tex]A_2=39.69[/tex]
The area of the remaining tin is:
[tex]A=A_2-A_1[/tex]
[tex]A=39.69-13.69[/tex]
[tex]A=26[/tex]
Therefore, the area of the remaining tin is 26 sq. cm.
what is the least common denominator of 3/1+8/4
Answers
Answer:
4355646
Step-by-step explanation:
45345
Answer:
least common denominator is 4
Step-by-step explanation:
3/1+8/4=20/4 which is 5
Q1: 17 divided by 14.91
Answers
Answer:
1.14017438
Step-by-step explanation:
Answer:1.140174379611
Step-by-step explanation:
which of the following can be brisk? a.A gift from a relative b.A walk around town c.a bowl of soup d.A fall breeze
(Pick all of the following hint: there is more than one.)
Answers
Answer:
A fall breeze and a bowl of soup I might say.
So say someone did 1000 push ups a day for 8 years 2920 days in 8 years and you want to do the same amount but in 2 months how many would you have to do a day
Answers
Answer:
48,667 if you round it..
Step-by-step explanation:
1000x2920 = 2,920,000
divided by 2 months
2,920,000/2 = 1,460,000
and theres 30-31 days in a month
1,460,000/30 = 48,666.67
a little help would be nice
Answers
Answer:
13). -2x³ + x² + 1 14). x + 10y - 10z 15). -2x³ + x² + 1
Step-by-step explanation:
13). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² - 3 + 4
= -2x³ + x² + 1
14). (3x + 4y - 3z) - (2x - 6y + 7z)
= 3x + 4y - 3z - 2x + 6y - 7z
= 3x - 2x + 4y + 6y - 3x - 7z
= x + 10y - 10z
15). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² + 4 - 3
= -2x³ + x² + 1
Please help me. I need help
Answers
a circle with two intersecting chords are shown below. if m
Answers
Answer:
165
Step-by-step explanation:
Sangsters sells staples in packs of 500 Staples for $1,250 and 1000 Staples for $3,000. Which pack is the better value for money? Justify your answer.
Answers
You get double for $0.50 more per staple
Answer:
Step-by-step explanation:
I want to know what kind of stables are these? Are they made out of gold?
$1250 / 500 stables verses $3000 / 1000 stables
$2.5 per stable $3 per stable
Both packs are too expensive but $2.5 per stable isthe better value.
Given that the area of the whole rectangle is 48 square units, find the area of (I).
Answers
Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase?
Answers
Answer:
I think the solution is this below
|
|
\/
75/90 × 100%
(dividing 75 bad 90 by 5 )
15/18 × 100%
(dividing 15 and 18 by 3 )
5/6 × 100%
( dividing 6 and 100 by 2 )
5/3 × 50%
250/3%
83 1/3%
your answer ====> 250/3% or 83 1/3%
a dice is rolled 60 times, what is the probability of it landing on 4
Answers
Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.
The exact chance that the face with six spots appears 9, 10, or 11 times?
my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.
SE(6spots)=SD=SQR(606⋅56)=2.8868
Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10
Standard deviation=2.8868
Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?
The exact chance that the face with six spots appears 10 times is found from
60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times
Find (x-4) (2x +1) using table of products. Write in standard form
Answers
Answer:
[tex]2x^{2} - 7x - 4[/tex]
Step-by-step explanation:
Give Me Brainllest
Answer:
Your welcome ;)
Step-by-step explanation:
.........help.......me.......please
Answers
Answer:
145°
Step-by-step explanation:
180-35=145
Answer:
145°
Step-by-step explanation:
subtract 35 from 180
because a straight line is 180
180- 35
145°
to check,
add 35 and 145 to make sure it adds up to 180
it does.
A rectangle’s length is 9 more than 4 times its width. The area of the rectangle is 90 square inches. What is the width of the rectangle?
Answers
Answer:
15/4 in or 3.75 in
Step-by-step explanation:
Find your equations:
L = 4w + 9 in
A = L*w = 90 in^2
Substitute L:
L*w = 90 in^2 <-- L = 4w + 9
(4w + 9in)w = 90 in^2
4w^2 in^2 + 9w in = 90in^2
Solve Simultaneously:
w = -6 in, 15/4 in
Width is positive so it is 15/4 in or 3.75 in.
Double check:
(4w + 9in)w = 90 in^2
(4*3.75in + 9in)(3.75in) = 90 in^2
Leave a like if this helped and mark brainliest
How would I set this to 0?
Answers
Answer:
− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0 is not an identity
Step-by-step explanation:
Please help me with this please ASAP
Answers
Answer:
h: 4
LA: 80
SA: 112
Step-by-step explanation:
Solve for h, and then use the previous equations.
jose paid $47.00 for 4 movie tikits. each tiket cost the same amount . what was the cost of each movie tiket in doller and cents?
Answers
helps plz,
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
A. 2x^2
B. 4x^2
C. 6x^2
D. 8x^2
Thanks!!
Answers
[tex] \huge \mathrm{Answer࿐ }[/tex]
Fig - 1 : Rectangle
length = 3x + x = 4x width = x + x = 2x[tex] \boxed{\mathrm{Area = length \times width}}[/tex]
[tex]4x \times 2x[/tex][tex]8 {x}^{2} [/tex]_____________________________
Fig - 2 : Kite
[tex] \boxed{\mathrm {Area = \dfrac{1}{2} \times d_1 \times d_2 }}[/tex]
[tex] \dfrac{1}{2} \times 4x \times 2x[/tex][tex]4 {x}^{2} [/tex]_____________________________
Area of shaded region :
Area of rectangle - Area of kite [tex]8 {x}^{2} - 4 {x}^{2} [/tex][tex]4 {x}^{2} [/tex]So, Correct option is B. 4x²
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
find the mole fraction of benzene and toluene in solution containing
(a) equal mass of each
(b) equal molecules of each
Answers
Answer:
Hello There!!
Step-by-step explanation:
I think the answer is possibly (b) equal molecules of each .
hope this helps,have a great day!!
~Pinky~
which number is equivalent to 2^3/3^3
Answers
Answer:
8/27
Step-by-step explanation:
Nadia needs 2/5 cup of orange juice for a punch recipe. She will double the recipe to make punch for a party. Which statement is true?
Answers
Answer:
Step-by-step explanation:
There's not a lot to go on with the details provided in the question, but based on all you said, if there isn't more to the question, then the true statement is the fact that Nadia needs 2/5 cup of orange juice for punch recipe.
Twice that amount is 4/5, and logically, that can't suffice in a party, except it's a party of 3, maybe 5 people. I'm assuming the people in the party would be much more than that. Makes the fraction impossible
A store is going out of business. Everything is
marked down 40%. How much do you pay for an item
that used to cost $150?
A. $90
B. $110.50
C. $40
Answers
150 x .40= 60
150-60=90
What is the rock cycle? Select the best two answers from the choices below.
a
The primary indicator of climate change
b
A series of processes that create and transform the types of rocks in Earth's crust
c
A concept in geology that describes transitions and relationships among the three main rock types
d
A way to show how Earth's different spheres interact with one another
Answers
Answer:
A concept in geology that describes transitions and relationships among the three main rock types
please mark as brainliest.
Answer:
b. A concept in geology that describes transitions and relationships among the three main rock types. and
c. A series of processes that create and transform the types of rocks in Earth's crust
Step-by-step explanation:
ive studied and this is correct because i took the test and i got it correct
please give me 5 stars
Help I need this tomorrow
9. Make Sense and Persevere The graph shows
the number of gallons of water in a large tank
as it is being filled. Based on the trend line,
predict how long it will take to fill the tank
with 375 gallons of water.
Answers
Answer:
About 18 minutes
Step-by-step explanation:
Mins that’s the answe
What is the probability of rolling a 1 ora 4 on a number cube labeled 1 through 6?
Answers
Answer:
For each number, there is a 1/6 probability of rolling it (so 1/6 for the 1 and also 1/6 for the 4).
This means that the probability of rolling either a 1 or a 4 on a given roll is
1 /6 + 1 /6 = 2/6 = 1/3
hope this answer helps you.....
Answer:
Is 1/6
Step-by-step explanation:
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answers
Answer:
8) 50°, 50°, 130°, 130°10) 120°Step-by-step explanation:
Ex 8Adjacent interior angles of a parallelogram are supplementary
Let the small angle is x, the other angle is:
2x + 30°The sum of two angles is 180°
x + 2x + 30° = 180°3x = 150°x = 50°The angles are 50°, 50°, 130°, 130°
Ex 10Sum of interior angles of a pentagon is:
S = 180°(5 - 2) = 540°Two of the angles are supplementary, so they sum to 180°
The sum of the remaining 3 angles is:
3x = 540° - 180°3x = 360°x = 120°Each of the congruent angles is 120°
