The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
https://brainly.com/question/10724274
Which expression is equivalent to this polynomial expression?
Answer:
Where is the expression
Answer:
Its c :)
Step-by-step explanation:
plato
The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.
Answer:
Mean: 30 mL
Standard Deviation: 45mL
Step-by-step explanation:
Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
Answer:
20 ft
Step-by-step explanation:
area of square = (side)^2
area of square = 25 ft^2
(side)^2 = 25 ft^2
side = 5 ft since (5 ft)^2 = 25 ft^2
The side of the square measures 5 ft.
All around the square is the perimeter.
perimeter = 4 * side
perimeter = 4 * 5 ft
perimeter = 20 ft
Answer: 20 ft
Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab
Answer:
P = 3.6 + 6 + 3.6 + 6 = 19.2 units
Step-by-step explanation:
distance between (-3,-2) and (-5,-5) =
Sqrt[(-5-3)^2+(-5 - -2)^2]
Sqrt (4+9) = 3.6
d = (-5,-5) and (1,-5) =
Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]
= sqrt (36 + 0) = 6
d = (1,5) and (3,-2)
Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]
Sqrt(4+9) = 3.6
d = (3,-2) and (-3,-2)
Sqrt[(-3-3)^2 + (-2 - - 2)^2]
Sqrt (36+0) = 6
What is the x-intercept of this equation: 6x + 2y = -8
Answer:
4, 0
Step-by-step explanation:
Answer:
[tex](\frac{-4}{3}, 0)[/tex]
Step-by-step explanation:
The x-intercept of any equation is the point where [tex]y=0[/tex].
Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].
So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!
Solve for x - 5 - 3 * + 1 = - 45
Answer:
[tex]x = \frac{41}{2} [/tex]
Step-by-step explanation:
x - 5 - 3x + 1 = -45
-2x - 4 = -45
-2x = -45 + 4
-2x = -41
x = 41 ÷ 2
x = 41/2
Step-by-step explanation:
[tex]\tt{}x - 5 - 3x + 1 = - 45[/tex]
[tex]\tt{} - 2x - 4 = - 45[/tex]
[tex]\tt{}- 2x= - 45 + 4[/tex]
[tex]\tt{} - 2x = - 41[/tex]
[tex]\tt{} x = \frac{41}{2} [/tex]
[tex]\tt{}x = 20 \frac{1}{2} [/tex]
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
can someone please help with this one?
Answer:
Website a is cheaper by 29 cents
Step-by-step explanation:
Evaluate.
(2a−13)÷b/15 when a=−2/5 and b=−8.25
Enter your answer as a simplified mixed number in the box
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2a - 13) ÷ b/15
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25.
= (2a - 13) ÷ b/15
= (2 x (-2/5) - 13) ÷ -8.25 / 15
= (-4/5 - 13 ) ÷ -8.25 / 15
= (-4 - 65) / 5 ÷ -8.25 / 15
= -69/5 ÷ -8.25/15
= -69/5 x -15/8.25
= 69 x 3 / 8.25
= 207 / 8.25
= 20700/825
We will write this in a mixed fraction.
= [tex]25\frac{75}{825}[/tex]
Thus,
The value of (2a - 13) ÷ b/15 when a = -2/5 and b = -8.25 is [tex]25\frac{75}{825}[/tex]
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS
The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt
70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20Since he is traveling at a constant speed, the relationship between, V and t can be written thus :
Distance = speed × time 70 = VtAt time, t = 5
70 = 5VV = 70/5 = 14At time, t = 7
70 = 7vV = 70/7 = 10At time, t = 3.5
70 = 3.5vv = 70/3.5 = 20Therefore, the relationship between V and t with distance is 70 = Vt
Learn more :https://brainly.com/question/23774048
what set operation combining all elements that are in two sets?
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
Answer:
y = -9/11x - 28/11
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - (-5) / -8 - 3
9/-11
= -9/11
y = -9/11x + b
4 = -9/11(-8) + b
4 = 72/11 + b
-28/11
Can someone explain this? (This is algebra 1)
Answer:
x=12
Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12
Evaluate the equation: 3.6/e = 1.2
hopefully this is correct..
it's either e = 1/3 or 3
Answer:
1/3 or 3^-1
Step-by-step explanation:
please mark me as brainlest
If the figure below is a regular polygon, find the value of x.
(9x - 18)
PLS HELP! Will give brainliest!
Answer:
yes they are inverses.
a.). x
Step-by-step explanation:
that's all
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
Simplify 5a×3×2b
Write down the answer, please.
[tex]5a \times 3 \times 2b \\ = (5 \times 3 \times 2)ab \\ = 30ab[/tex]
Answer:30 ab
Hope it helps
ray4918 here to help
Answer:
30ab
Step-by-step explanation:
Given expression,
→ 5a × 3 × 2b
Simplifying the expression,
→ 5a × 3 × 2b
→ (5 × 3)a × 2b
→ 15a × 2b
→ (15 × 2)ab
→ 30ab
Hence, the answer is 30ab.
If the diameter is 7.5 what is the radius?
If the radius is 17 what is the diameter?
If the diameter is 21 what is the radius?
If the radius 813 what is the diameter?
Answer:
Here is the answer to your question its fairly simple.
Step-by-step explanation:
3.75 is the radius
34 is the diameter
10.5 is the radius
1626 is the diameter
What is 1 plus 1 in active numbers
Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?
Answer:
45
Step-by-step explanation:
78
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.
Please let me know if this is true or false
Answer:
True hai
hope this help you ^0^
Same question, but different answer option.
I definitely need help with this math problem.
Which expression is equivalent to 10f-5-5f+2?
15f-3 5f-7
15f-7 or -3+6f
Answer:
5f - 3, I'm assuming there was a typo in the answer choices.
Step-by-step explanation:
10f - 5f + 2 - 5
5f - 3
Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
Х
?
Answer:
[tex]a_{16} = 121[/tex].
Step-by-step explanation:
To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].
To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].
In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].
Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].
In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:
[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].
A coat usually sells for $62.95. It is on sale for 10% off.
What is the sale price?
Answer:
Hii, okay so the sale price is $56.66, Hope this helps
Step-by-step explanation:
- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?
The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.
Let the kilograms of peanut clusters = x
Let kilograms of chocolate creams = y = 3x
Therefore, from the information given, the equation to solve the question will be:
x + y = 48 kilograms
x + 3x = 48 kilograms
4x = 48 kilograms
x = 48 kilograms / 4
x = 12 kilograms
Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.
In conclusion, the correct option is 12 kilograms.
Read related link on:
https://brainly.com/question/24959144
What is the measure of
Answer:
30
Step-by-step explanation:
because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180
What is your weight on Mars? (g = 3.75 m/s^2)