Answer:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.
For example:
2 = 2 or x = x or 0 = 0
Solving the question above:
Which linear equations have an infinite number of solutions? Check all that apply.
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
x - 3/7 = 6x/6 - 18/42
x - 3/7 = x - 3/7
Collect like terms
x - x = -3/7 + 3/7
0 = 0
The linear equation in option a has an infinite number of solutions
b) 8(x + 2) = 5x – 14
8x + 16 = 5x - 14
Collect like terms
8x - 5x = -14 - 16
3x = -30
x = -30/3
x = -10.
The linear equation in Option b has a true solution.
c) 12.3x – 18 = 3(–6 + 4.1x)
12.3x - 18 = -18 + 12.3x
Collect like terms
12.3x - 12.3x = -18 + 18
0 = 0
The linear equation in Option c has infinite number of solutions
d) 1\2(6x + 10) = 7(3\7x – 2)
6x/2 + 5 = 21/7x - 14
3x + 5 = 3x - 14
Collect like terms
3x - 3x = -14 - 5
0 = -19
The linear equation Option d has no solution
e) 4.2x – 3.5 = 2.1 (5x + 8)
4.2x - 3.5 = 10.5x + 16.8
Collect like terms
4.2x - 10.5x = 16.8 + 3.5
-6.3x = 20.3
x = -20.3/6.3
x = -3.22
Hence, the linear equation in Option e has a true solution
Therefore, the linear equations have an infinite number of solutions are:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
1/3(6x-5)-x = 1/3-2(x+1)
Value of X
Answer:
x=0
Step-by-step explanation:
do you need work? I did it in my head
Answer:
x=5/24
Step-by-step explanation:
2x-\frac{5}{2}=-2x-\frac{5}{3} Then add 5/2 to both sides 2x-\frac{5}{2}+\frac{5}{2}=-2x-\frac{5}{3}+\frac{5}{2} simplify 2x=-2x+\frac{5}{6} add 2x to both sides 2x+2x=-2x+\frac{5}{6}+2x simplify 4x=\frac{5}{6} divide both sides by 4 \frac{4x}{4}=\frac{\frac{5}{6}}{4} simplify then u get x=5/24
Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials
On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1
Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
1 is 25% of what number
Answer:
4
Step-by-step explanation:
because 25% times 4 makes 100 so it is 4
30 workers can complete a work in 40 days in how many days would 20 men complete the construction
Answer:
27
Step-by-step explanation:
(30 workers/40 days) = (20 workers/x days) cross multiply
30*x=40*20 divide by 30 both sides
x= 800/30
x≈26.67
So they will need 27 days
WILL MARK brainliset answer if gotten right
Answer:
Line segment PN
Step-by-step explanation:
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
Help me find D please
Answer:
21 deg
Step-by-step explanation:
3x + 5x - 2 + 18x = 180 deg (sum angles of triangle)
26x = 182 deg
x = 7 deg
angle D = 3x = 3 x 7 = 21 deg
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
uhh yeahh don't know lol ...
Answer:
for first blank its 1/3 and second blank is 5
Step-by-step explanation:
Answer:
y=-1/3x+5
Step-by-step explanation:
BRAINLIEST PLS
Multiply: (5.8 x 10^-6) x (2 x 10^4).
Answer:
[tex]1.16*10^{-1}[/tex]
Step-by-step explanation:
[tex](5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}[/tex]
Find the slope of the line y = 8/3x - 1/3 simplify your answer.
Answer:
8/3
Step-by-step explanation:
Slope:
8 /3
y-intercept:
( 0 , − 1 /3 )
Step-by-step explanation:
A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?
Answer:
15 quarts
Step-by-step explanation:
Can someone solve all these answers for this polynomials worksheet?
Answer:
2. 4
3. 5
4. 8
5. 9
6. 1
7. 6
8. 5
9. 7
10. 2
Step-by-step explanation:
Count the number of terms for each. Alternately, count the number of "+" and "-", and add 1.
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
what relations are functions?
Answer:
all
Step-by-step explanation:
because they all got x and y
Answer:
A and C
Step-by-step explanation: cause of that rule that says there is only one output for every input also for graphs you can use see if there are two points on a line then its not a function that's why D isn't cause there are two on X axis (2,-1) and (2,1) :))
HELP ME PLEASE IT'S DO RIGHT NOW***
Answer:
[tex]x^{2} -121[/tex] goes with (x+11)(x-11)
[tex]x^{2} +121[/tex] does not have a solution/answer
[tex]16x^{2} -25[/tex] goes with (4x+5)(4x-5)
[tex]25x^{2} -16[/tex] goes with (5x+4)(5x-4)
[tex]x^{2} -50[/tex] does not have a solution/answer
[tex]x^{4}-64[/tex] goes with [tex](x^{2} +8) (x^{2} -8)[/tex]
[tex]x^{2} -144[/tex] goes with (x+12) (x-12)
Step-by-step explanation:
its factoring
Can someone explain this to me if you can.
Answer: I wish I can help, but I don't know how to explain it
A slide 15 feet long makes an angle of 330 with its vertical ladder. To the
nearest foot, how tall is the slide?
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
An element's identity is determined by the number of
Answer:
number of protons
Step-by-step explanation:
The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.
What is the speed of a cheetah that travels 116 m in 3.0seconds
Answer:
38.6666666667
Step-by-step explanation:
speed = distance/time.
Time: 3.0
Distance: 116 miles.
116/3.0 = 38.6666666667.
Help please! The division Axiom would allow us to say which two angles are equal?
Answer:
The correct option is;
(3) ∠ADB and ∠BDC
Step-by-step explanation:
From the division axiom, we have;
(a+a)/a = 2·a/a = 2
The given parameters are;
m∠ADC = m∠ABC
[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC
Therefore;
∠ADB ≅ ∠BDC
∠ABD ≅ ∠CBD
Therefore;
∠ADB/∠CBD = ∠BDC/∠ABD
Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.
Help please :((((((((((((((
Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
James paid 13.20 for 12 mangoes. For every 5 mangoes that he bought he got one mango free. Mary wants to by 4 mangoes from the same shop. She only has $5.10. How much more money does she need
Answer:
Mary needs $0.18 more
Step-by-step explanation:
12 mangoes = $13.20
For every 5 mangoes that he bought he got one mango free
This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)
If James paid $13.20 for 10 mangoes, then
Each mango cost = $13.20 / 10
= $1.32
Each mango cost $1.32
Mary wants to by 4 mangoes from the same shop.
Total cost of 4 mangoes = $1.32 × 4
= $5.28
She only has $5.10.
How much more money does she need
Amount needed more = Total amount required - total amount available
= $5.28 - $5.10
= $0.18
Mary needs $0.18 more
Esmeralda works in the snack bar at the movie theater. She serves popcorn in two sizes, small and giant. The dimensions of the small box of popcorn are similar to the dimensions of the giant box of popcorn.
What is x when the width of the small box is 4 inches? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
6.7
Will give brainliest if correct.
Answer:
y = -5x - 10
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Now, in your case:
5x + y = -10
Move 5x (don't forget to change the signs!):
y = -5x - 10
Hope this helps!
The table represents a linear function. WhT is the slope of the function?
Answer
The slope of the function is 5.
Step-by-step explanation:
X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?
Answer:
$6.36 would be your answer￣へ￣
Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6
Step-by-step explanation:
Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
What is the solution to the equation?
3 + 3x – 5 = r
A.
-2 and -7
B.
2 and 7
O c.
-2
D. 7
Solve the equation 3x = 2x +5.
What can you do to isolate the variable on one side of
the equation?
What is the solution?
Answer:
1. C
2. D
Step-by-step explanation:
In that order