Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
METHOD OF ELIMINATION:
Given pair of linear equations are:
x+2y= 7 – – – Eqn(i)
On comparing with a1x+b1y+c1 = 0
a1 = 1, b1 = 2, c1 = -7x-y = 1 – – – Eqn(ii)
On comparing with a2x+b2y+c2 = 0
a2 = 1, b2 = -1 , c2 = -1a1/a2 = 1/1 = 1
b1/b2 = 2/-1 = -2
c1/c2 = -7/-1 = 7
We have,
a1/a2 ≠ b1/b2 ≠ c1/c2
So, Given pair of linear equations in two variables have a unique solution.
Now,
On Subtracting eqn(ii) from eqn(i) then
x+2y = 7
x-y = 1
(-)
_______
0 +3y = 6
_______
⇛ 3y = 6
⇛ y = 6/3
⇛ y = 2
On Substituting the value of y in (1) then
⇛ x-2 = 1
⇛ x = 1+2
⇛x = 3
Answer: Therefore , the value of x and y with be (3,2) respectively.
Additional comment:
If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.Which functions could be represented by the graph? Check all that apply.
f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|
The possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
The parent function of an absolute value function is:
[tex]f(x) = |x|[/tex]
From the diagram (see attachment), we can see that the function is shifted to the right by few units.
The rule of this translation is:
[tex](x,y) \to (x + b,y)[/tex]
Where b represents the number of units.
So, we have:
[tex]f(x) = |x + b|[/tex]
From the list of given options, the possible functions are:
[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]
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Answer:
c and f are correct
Step-by-step explanation:
find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8
[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]
M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20
Am I right? Should I've to add more info?(only about Rectangle and Square)
Answer:
Yh its right.
Step-by-step explanation:
Have a great day!
Answer:
yeah it is correct
Step-by-step explanation:
and well hruu
In the summer reading program, a participant earns 50 stars for reading 10 books. The library tracks the number of stars(y, vertical axis) and books ( x, horizontal axis) on a graph. Which statements are correct.
A: Point(5,1) Represents the unit rate
B: Point(1,5) Represents the unit rate
C: Point(0,50) Represents the unit rate
D: Point(100,20) Represents reading 20 books
E: Point(20,100)Represents reading 20 books
Please help, I will give you the brainliest answer
Answer:
C: Point(0,50) Represents the unit rate
Step-by-step explanation:
Austin didn’t win first or last place. The snowmen wearing scarves with stripes were in second and last place. Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman. Keira placed better than Shelby but not as good as Matthew.
Answer:
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
Austin didn’t win first or last place,
The snowmen wearing scarves with stripes were in second and last place,
Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,
Keira placed better than Shelby, but not as well as Matthew,
The sequence of the above statement can be written as,
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
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After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule
describes the rotation?
O RO 90
O Ra 180°
O Ro 270
ORO 360°
Answer:
3rd option
Step-by-step explanation:
Under a rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
A (- 3, 4 ) → (4, - 3 )
B (4, - 5 ) → (- 5, - 4 )
C (1, 6 ) → (6, - 1 )
The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
What is coordinate plane?The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.
To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.
Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)
Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)
Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)
Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
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A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 21 minute? In 1 hour?
the amount in Jamaican dollars one would get for US $200
200 US Dollar is 30837.86 Jamaican Dollar.
which pairs of polygons are congruent?
A. 3 and 4
B. 1 and 3
C. 1, 3, and 4
D. 2, 3, and 4
E. 1, 2, 3 and 4
Answer:
B
Step-by-step explanation:
help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's
Answer:
45/3 = 15
They each where $15
Hope that helps
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
All you need to do is divide 45 by 3 and you get 15
Can someone help me please
Answer:i dont know 1
2. variable
3. terms
Step-by-step explanation:
the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons
The atom's place on the table is determined solely by its number of protons
A periodic table is a table containing different elements and arranged across the periods and groups of the table. The elements in a periodic table are numbered and arranged based on their atomic number.Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons
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Answer:
number of protons
Step-by-step explanation:
Factorize the following: 9x²+6x+1-25y²
Answer:
(3x - 5y + 1)(3x + 5y + 1).
Step-by-step explanation:
9x²+6x+1-25y²
= 9x^2 - 25y^2 + 6x + 1
= (3x - 5y)(3x + 5y) + 6x + 1
3x + 3x = 6x and 1 * 1 = 1 so we have:
= (3x - 5y + 1)(3x + 5y + 1)
10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.
The given ratio becomes 6x : 3x : x.
6x = black paint
3x = green paint
x = blue paint
6x + 3x + x = 500
10x = 500
x = 500/10
x = 50
6x = 6(50) = 300
3x = 3(50) = 150
x = 50
Answer:
300 ml of the black paint.
150 ml of the green paint.
50 ml of the blue paint.
1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.
8 is added to a number.
2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?
Original Equation:
4x-5= -4
First Step:
4x= 1
A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication
Answer:
The answer is C since she is adding 5 to both sides
Hope This Helps!!!
does anyone know the account brookebyewater?
Yes it's an account of a person on brainly- they're rank is "expert".
Hope this helped you-have a good day bro cya)
PLEASE NO LINKS AND NO NEGATIVITY
Answer: bring the purple column to 5 and then green to 6
Step-by-step explanation: you need to divide which results you with 5/6
Answer: It takes john 1.2 months to read one book
Step-by-step explanation:
In - order to find out the answer we need to do [ months / books ] --> 12 / 10
what is 12 divided by 10 ? 1.2
On the first day of the trip, Robert canoes for 3 hours. How far did Robert travel?
I need help I don't know how to solve this please help
Answer:
9 miles per hour
Step-by-step explanation:
He goes 3/4 of a mile in 15 minutes, so multiply x 4 to get how far per hour. 3/4 x 4 = 12/4 = 3 miles per hour. He went for 3 hours, so 3 x 3 = 9.
John borrowed $5,000 from his parents to buy a car. He made a one-time payment of $1,500 and then he is going to pay his mother $250 each month. How long will it take for him to pay off the car?
Answer:
14 months
Step-by-step explanation:
5000=1,500+250m
m=months
5000-1500= 3500
3500=250m
3500÷250=14
14=m
Answer:
14 months
Step-by-step explanation:
He already payed $1,500 of the $5,000 payment.
$5,000 - $1,500
So that means he has $3,500 left to pay.
If he is going to pay $250 per month.
Then do $3,500 divided by $250.
$3,500 ÷ $250
Which is 14 months.
Suppose you are putting up a tent for a camping trip.
The 9 foot center pole makes a right angle with the ground. If a rope goes from the top of the pole to a point on the ground 12 feet away from the base of the pole. how long of a rope is needed?
The length of the rope needed is 15 feet
Given the following parameters;
Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feetRequired
Length of the rope.To get the length of the rope, you will use the pythagoras theorem expressed as:
c² = a² + b²Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
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which is an equation of the line that goes through the points (-4,7) and (-4,11)
Answer:
it's a answer!!
Step-by-step explanation:
ITS AN ANSWER BECAUSE IT CAN BE! THATS WHY! BLAH BLAH BLAH! I do not say blah blah blah
The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts
The school band could have a profit of $ 60 for selling 30 T-Shirts.
For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.
Hence, the profit for selling 30 T-shirts is shown below:
[tex]C = (\$\,2)\cdot (30)[/tex]
[tex]C = \$\,60[/tex]
The school band could have a profit of $ 60 for selling 30 T-Shirts.
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Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x
We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.
Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:Therefore, we can conclude that x = 18.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]
[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]
[tex]\\ \tt\Rrightarrow 7x=126[/tex]
[tex]\\ \tt\Rrightarrow x=126/7[/tex]
[tex]\\ \tt\Rrightarrow x=18[/tex]
I need help please :(
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Answer:
7
Step-by-step explanation:
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
Im just straight up confused. And dont leave a link
Answer:
The bottom left graph is a function
Step-by-step explanation:
I was pretty confused at first with this, too. To find if a graph is a function, however, just preform the vertical line test! Basically, draw a vertical line on each graph. At any point does it go through two or more points? Well, its not a function. We can see a vertical line would completly overlap the first graph, it would go through the half circle graph twice, and the circle? Well, that ones rather obvious...
With this test, we can see the only graph that passes the vertical line test is the bottom left graph (or the weird squiggly one)!
Hope this helps for future function solving!
The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a ceiling fan and an outdoor grill. If a U.S. household is randomly selected, the probability that the household has neither a ceiling fan nor an outdoor grill is
Answer:
Very sorry if this is no help
Step-by-step explanation:
activist judges believe that federal judges should
Answer:
beyond the words of a constitution or statute to consider the broader societal implications of their decisions.
Step-by-step explanation:
Translate math sentence in solution.
1.Nine more than a number.
2.One half multiplied by a number.
3.Three more than half of a number.
4. A number increased by seven.
5.Quotient of a number and two tenths.
6.Product of four and a number.
7.Two cubed divided by a number.
8.Difference of ten and a number.
9.Five squared minus a number.
10.Twenty-nine decreased by a number.
Answer:
[tex]x + 9[/tex]
[tex] \frac{1}{2} \times x[/tex]
[tex]0.5x + 3[/tex]
[tex]x + 7[/tex]
[tex]0.2x[/tex]
[tex]4x[/tex]
[tex] {2}^{3} \div x[/tex]
[tex]10 - x[/tex]
[tex] {5}^{2} - x[/tex]
[tex]29 - x[/tex]
Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford to rent the canoe?
Answer: x ≤ 10
Step-by-step explanation:
20 + 13x ≤ 150
13x ≤ 150 - 20
13x ≤ 130
x ≤ 130 ÷ 13
x ≤ 10