[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]
[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]
[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]
Matthew poured 28 quart of lemonade from a pitcher into a smaller container. There was 58 quart left in the pitcher. What amount of lemonade did Matthew originally have in the pitcher?
Answer:
86 quarts
Step-by-step explanation:
If you took away 28 quarts and were left with 58 quarts then you add the two numbers to get 86 quarts which is what you started with.
find the inverse of the function F(x)=x-3
Answer:
f¹(x) = x - 3
To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.
Rewrite the function f(x) = x + 3
as the equation y = x + 3
Trade x and y.
x = y + 3
Solve for the "new" y.
= y + 3
3 - 3
Subtract 3 from both sides
y = x= 3
The symbol for the inverse is f-¹(x)
f¹(x) = x - 3
Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
What is the Ratio of 129 215
Answer:
none
Step-by-step explanation:
Help help help help help help help please
Answer:
B I think.
Step-by-step explanation:
Answer:
270
Step-by-step explanation:
The figure B is just one 90° rotation away from becoming A, i.e.,
If we rotate B 90° counterclockwise, we get A.
To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360
So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)
That means,
[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]
(angle of rotation is the angle which A turns about in order to line itself with B)
_________________
That makes it 270°
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
f^-1(x) = [ln (x + 4)]/2
Step-by-step explanation:
f(x) = e^(2x) - 4
y = e^(2x) - 4
x = e^(2y) - 4
x + 4 = e^(2y)
ln (x + 4) = ln (e^(2y))
ln (x + 4) = 2y
y = [ln (x + 4)]/2
f^-1(x) = [ln (x + 4)]/2
Jorge wants to find the height of the house, help him find it.
Answer:
:)
Step-by-step explanation:
:)
Select the correct answer.
Solve the following inequality.
-8 < 3x + 1 < 7
A.
B.
C.
D.
Answer:
-3 < x < 2
Step-by-step explanation:
-8 < 3x + 1 < 7
-8 < 3x + 1 ....... eqn 1
3x + 1 < 7 ...........eqn 2
-8 < 3x + 1
-8 - 1 < 3x
-9 < 3x
-9/3 < x
-3 < x
3x + 1 < 7 ...........eqn 2
3x < 7 - 1
3x < 6
x < 6/3
x < 2
= -3 < x < 2
A large drink dispenser used at a school field day holds 640 ounces of lemonade. How many glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces?
Answer:
80 glasses
Step-by-step explanation:
640/8 = 80
Answer: 80 glasses
There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A large drink dispenser used at a school field day holds 640 ounces of lemonade.
Now,
Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;
= 640 ÷ 8
= 80
Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
Learn more about the divide visit:
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4(-8x+5)-(-33x-26)=[tex]4(-8x+5)-(-33x-26)=[/tex]
Answer:
4(-8x+5) - (-33x-26)
-32x+20+33x-26
collect like terms
-32x+33x+20-26
=x-6
Step-by-step explanation:
x-6
36,000÷?=90 PLS HELP
Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
Answer:
400
Step-by-step explanation:
Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.
The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
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Which expression is equivalent to 4w (-6w)
0 -2w3
O-202
0-24w3
0-24w2
Step-by-step explanation:
4w(-6w)
= (4*6)(w.-w)
= 24 * -w²
= -24w²
thanks in advance ill mark brainliest
Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
11x + 1 = 10x + 10
Subtract 10x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
θ = 11x + 1
θ = 11(9) + 1
θ = 99 + 1
θ = 100º
What is the area of the following circle?
Either enter the exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answer:
25π or 78.5
Step-by-step explanation:
Area of circle = π[tex]r^{2}[/tex]
r = 5
A = π * 5^2
= 25π
= 78.5
What is the area of the figure at the right explain how you found your answer
Answer:
You have a photo to show the work?
Step-by-step explanation:
A line is reflected. Which of these could be the result?
b bcause i knew it and i mean i have a 5.0 gpa
Please find the correct answer I will give brainliest and 4 stars.
Answer:
you're correct
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answer:
3.75
Step-by-step explanation:
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(10 points!!!) AND I’LL MAKE YOU BRAINLEST
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table below to answer:
Answer:Jose will make 901.31 more
Step-by-step explana
A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?
Answer:
yes...
Step-by-step explanation:
k
you will be given ultimate cookie and 20 pts
Answer: -4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2
Step-by-step explanation:
Decimals that are higher is the less than the smallest
Consider the following equation.
4x+5y=11
Step 1 of 2 : Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.
Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. PLZ HELP 100 POINTS
Answer:
ninth grade teacher is going skipping 30 to each class
Step-by-step explanation:
14/15 + 8/15 + 4/5 please help
Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
y - 1 = -4 (x + 2)
y - 4 = -2 (x - 1)
y - 1 = 4 (x - 2)
y - 2 = -4 (x - 1)
Answer:
the answer is A
I followed the point slope formula and added in the x and y values
Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54
Answer:
1. 5
2. 0
3. -3
4. -38
Step-by-step explanation:
from 1 to 4 i answered and solved hope its helpful
A camera is on sale for $130. After a 7.875% sales tax is added, what is the total cost of the camera?
Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
What is Rita’s error?
Solve the equation for B. PLEASE SHOW YOUR WORK.
2(B + 3.5 - B = -3(6 - 2B)
9514 1404 393
Answer:
B = 5
Step-by-step explanation:
The given equation has mismatched parentheses. We assume the intent is ...
2(b +3.5) -b = -3(6 -2b)
Eliminating parentheses, we have ...
2b +7 -b = -18 +6b
25 = 5b . . . . . . . . . . . add 18-b to both sides and collect terms
b = 5 . . . . . . . . . . . . divide both sides by 5
The two parallel sides of a trapezium are 19.8 and 7.2 cm. If the area of the trapezium is 135 sq cm find the distance between its parallel sides
Answer:
67.72
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The area of a Trapezium is
(a+b)/2 * h where
a = top
b= bottom
h- height, distance between the two parallel sides (ie the top and bottom)
135 = (19.8+7.2)/2 *h
135=13.5h
h= 10