Answer:
[tex]x=1,\\y=9[/tex]
Step-by-step explanation:
When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.
[tex]-6x=48-6y\\\\-4x=50-6y[/tex]
Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.
[tex](-6x=48-6y)*(-1)\\\\-4x=50-6y[/tex]
Simplify,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
Add the equations in the system,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
Simplify,
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
[tex]2x=2[/tex]
Inverse operations,
[tex]2x=2[/tex]
[tex]x=1[/tex]
Backsolve to find the value of (y).
[tex]-4x=50-6y[/tex]
[tex]x=1[/tex]
Substitute,
[tex]-4(1)=50-6y[/tex]
Simplify,
[tex]-4=50-6y[/tex]
Inverse operations,
[tex]-4=50-6y[/tex]
[tex]-54=-6y[/tex]
[tex]9=y[/tex]
If f(x) = x3 – 1, what is the ordered pair for x = -2.?
Answer:
(-2, -9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 1
x = -2
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = (-2)³ - 1Exponents: f(-2) = -8 - 1Subtract: f(-2) = -9Rewrite: (-2, -9)Need answers now. Not good with geometry or Algebra.
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
What is the value of this expression when a = 7 and b = -4?
|2a|-b over 3
Answer:
6
Step-by-step explanation:
The absolute value of 2(7)=14. b=-4, so 14+4=18. 18/3=6.
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
14+4/3
18/3
6
If 150° and 3a are supplementary angles, find the value of a.
Answer:
a = 10
Step-by-step explanation:
Supplementary angles sum to 180° , so
150 + 3a = 180 ( subtract 150 from both sides )
3a = 30 ( divide both sides by 3 )
a = 10
3x?
3x?
If Ax)=
2x
and g(x)
find /(x) = g(x)
Answer:
and practice problems to learn how to find and evaluate composite functions. ... If f(x)=(1/x) and (f/g)(x)=((x+4)/(x^2+2x)), what is the function g?
Find the median of data set. Round it to the nearest tenth.
Answer:
The median of the data set that you've provided, is 13,350.
Explanation:
13350 is the middle number from the set after writing the set in ascending order. you have 5 numbers on the left of 13350 and 5 on the right, 13350 is the middle one thus it's the median.
After Arranging it in Ascending order
The total number of items is 11
The middle one is 13,350
Therefore the range is 13,350
Must click thanks and mark brainliest
I need help with this one pls!
Hi there!
[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]
Simplify:
[tex]\frac{a + b}{ab} = c[/tex]
Multiply both sides by ab:
[tex]a + b = cab[/tex]
Move b to the opposite side:
[tex]a = cab - b[/tex]
Factor out b:
[tex]a = b(ac - 1)[/tex]
Divide by (ac - 1):
[tex]\frac{a}{ac - 1} = b[/tex]
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
!!! i only need part c !!! There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
(10 points)
[tex]\sqrt\\x^{2} - 3\\[/tex]
A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
What is the constant term of -3x(4)-7x+2 ?
Answer:
trinomials term .........................
Answer:
2
Step-by-step explanation:
I'm under the water on this problem, please help me:
question: f(x)=10x−3
answer choices:
A. f(−5)
B. f(0)
C. f(7)
D. f(t^2+2)
E. f(12−x)
F. f(x+h)
Answer:
See below
Step-by-step explanation:
Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.
A) Plug in -5 to all x values
f(-5)=10(-5)-3
==50-3
f(-5)= -53
B) f(0)=10(0)-3
f(0)= -3
C) f(7)=10(7)-3
=70-3
f(7)=67
D) f(t^2+2)=10(t^2+2)-3
=10t^2+20-3
f(t^2+2)=10t^2+17
E) f(12-x)=10(12-x)-3
=120-10x-3
f(12-x)=117-10x
F) f(x+h)=10(x+h)-3
=10x+10h-3
3. the third one please answer ASAP write it on paper, please
Answer:
1/3
Step-by-step explanation:
We have to make the denominator of all fractions to be 15:
Multiply both the 4 and the 5 in 4/5 by 3 to get 12/15.
Nothing has to be done to 3/15.
Next, multiply both the -2 and the 3 in -2/3 by 5 to get -10/15.
Solve:
12/15 + 3/15 - 10/15 = 5/15.
5/15 further simplifies to 1/3.
The final answer is 1/3.
1. PLEASE HELP ME
Find the value of x. If necessary, round to the nearest tenth.
A. 8.8 in.
B. 10.4 in.
C. 5.2 in.
D. 7.3 in.
Answer:
C. 5.2 in.
Step-by-step explanation:
please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15
2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)
3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32
4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2
5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5
6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8
7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7
Answer:
1.) C. - 1/125
2.) B. - -3x-4
3.) A. - 3^-12
4.) C. - 7^8
5.) D. - 8^5
6.) A. - 9x8x4
7.) B. - 2x5/7x5 or A It's Almost the Same But I couldn't find the exact difference so Sorry.
Write in factored form
m^2 - n^4
The answer is : [tex]\left(m+n^2\right)\left(m-n^2\right)[/tex]
Here are the steps below to help you! ^^
what is twelve less than a variable
Answer:
x-12
Step-by-step explanation:
Let the variable be x
12 less than
x-12
The Ramirez family and the Stewart family each used their sprinklers last summer. The water output rate for the Ramirez family's sprinkler was 40 L per hour.
The water output rate for the Stewart family's sprinkler was 15 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total
water output of 1575 L. How long was each sprinkler used?
Answer:
15.5
Step-by-step explanation:
Yes
How do you do 9&10?
Answer:
Step-by-step explanation:
9) 9xt
10) r-10
Solve the equation | 7x + 5| = |3x - 13|
I 7X + 5 I = I 3X- 13I
7×+5 = 3x +13
7X-3x = 13-5
4x = 8
X= 8/4
X=2
Which point has the coordinates (-3.5, 7)?
Answer:
Q
Step-by-step explanation:
The coordinates are ( x,y)
negative 3.5 goes 3.5 units to the left
7 goes 7 units up
Answer:
Q
Step-by-step explanation:
The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5
the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there
(7)
* 8. Evaluate Mahesh rides a bus to work. The number of minutes his daily
bus ride took over a two-week period are recorded below:
M T W Th F
Week 1 12 8 10 9 12
Week 2 8 7 12 9 10
a. Find the mean, median, mode, and range of the data.
b. Which measure would Mahesh use to describe how many minutes
the duration of his bus ride may differ from day to day?
a. From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes.
b. The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
From the question,
The data for the first week are
Week 1: 12, 8, 10, 9, 12
and for the second week
Week 2: 8, 7, 12, 9, 10
Putting the data together, we have
12, 8, 10, 9, 12, 8, 7, 12, 9, 10.
Now,
]a. To determine the mean of the above data,
Mean is the average of the numbers. The mean can be determined by adding up the numbers and then dividing by the count of the numbers.
From the above, we have 10 numbers
∴ [tex]Mean = \frac{12+8+10+9+12+8+7+12+9+10}{10}[/tex]
[tex]Mean = \frac{97}{10}[/tex]
Mean = 9.7 minutes
For the median of the data
The median of a given set of numbers is the middle value when the numbers are sorted either in the ascending or descending order.
For the data 12, 8, 10, 9, 12, 8, 7, 12, 9, 10
Arranging in ascending order, we get
7, 8, 8, 9, 9, 10, 10, 12, 12, 12.
Since we have two numbers (9 and 10) in the middle, the median can be determined by the finding the average of these numbers.
∴ [tex]Median = \frac{9+10}{2}[/tex]
[tex]Median = \frac{19}{2}[/tex]
Median = 9.5 minutes
For the mode of the data
The mode is the value that occurs most often.
From the data, 12 occurs most often (three times)
∴ Mode = 12 minutes
For the range of the data
Range is the difference between the highest and lowest values.
From the data
Highest value = 12
Lowest value = 7
∴ Range = 12 - 7
Range = 5 minutes
b. For the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day.
Here, we are talking about measures of dispersion. The only measure of dispersion from above is range.
∴ The measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Hence,
From the data recorded for the number of minutes Mahesh bus ride took over a two-week period, Mean = 9.7 minutes, Median = 9.5 minutes, Mode = 12 minutes, Range = 5 minutes
and the measure Mahesh will use to describe how many minutes the duration of his bus ride may differ from day to day is the range.
Learn more here: https://brainly.com/question/16882439
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
a₁₉ = 99
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
a₁₉ = 9 + (18 × 5) = 9 + 90 = 99
The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given an AP series
First term(a) = 9
Common difference (d) = 5
The nth term is given by
⇒ a + (n - 1)d
So,
19th term = 9 + (19-1)5
⇒ 99
Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".
For more about Arithmetic progression
https://brainly.com/question/20385181
#SPJ2
Name the marked angle in 2 different ways.
Answer:
Step-by-step explanation:
<CDE or <EDC
What is the additive identity of -17?
Answer:
The additive identity is 0. The sum of any number with the additive identity is the number itself.
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
Find −4^3(5^2). Express using exponents.
Answer:
-1600
Step-by-step explanation:
−4^3(5^2)
5 × 5 = 25
-4 × -4 × -4
-16 × -4
-64
64 × 25 = -1600
The answer is -1600
Hope this helped.
State the quadrant in which the terminal side of the given angle lies.
0
=
Зл
5
need help with this!!
Answer:
The answer is B..... The corresponding is the identical number between all
The is 7 in each...
Which is the graph of y = [x]-2?
Please please helped timed 20points
Answer:
3rd graph
Step-by-step explanation:
