Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
Read more about linear equations at:
https://brainly.com/question/21981879
x + y 6x - 4y - 2 simplified?
Step-by-step explanation:
X + Y + 6X - 4Y - 2 would be 7x - 3y -2
:) hope this helped let me know if you need more help! :)
____________
[tex] \: [/tex]
x + y + 6x - 4y - 2 = ...
= (1x + 6x) + (1y - 4y) + (-2)
= 7x - 3y - 2✔
El doble de un número más de 3 unidades
Lá resposta de el pergutala é 2x+3
List the first 4 terms of the sequence 2n² +n -2
Answer:
1, 7, 17, 31
Step-by-step explanation:
2(1)² + 1 - 2 = 3-2 = 1
2(2)² + 1 - 2 = 9-2 = 7
2(3)² + 1 - 2 = 19-2 = 17
2(4)² + 1 - 2 = 33-2 = 31
Find the 13th term of the geometric sequence 7, 21, 63, ...7,21,63,.
Answer:
3,720,087
Step-by-step explanation:
Multiply each number by 3.
HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
B
Step-by-step explanation:
Each coordinate becomes 1/4 of what it was.
Answer: B
Answer:
Second option
Step-by-step explanation:
It's just how a scale factor works i guess, it's hard to explain.
Please someone help meee
asap
Please I need help
NO THEY ARE NOT
YOUR ANSWER IS FALSE 1ST ONE
LOVE FROM INDIA HAVE A GREAT FUTURE[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The terms 3x²y and -5xy² aren't like terms,
So, the Correct choice is :
[tex] \huge \mathrm{false}[/tex]pls correct answer for brainliest answer
Step-by-step explanation:
let tye number Ahmed thinks be x.
so, a/q
the equation is,
→ 2x/5 = 4
→ 2x = 4×5 = 20
→ x = 20/2
→ x = 10
therefore, he thinks the number 10.
hope this answer helps you dear!
Answer:
10
Step-by-step explanation:
I'm doing it from the end.
if the answer is 4, you have to multiple it by 5 and then divide it by 2
4 x 5 ÷ 2 = 10
10 multiple by 2 is 20 and 20 divided by 5 is 4 so
10 is correct answer
solve using substitution method2x + 8y = 4x = -4y - 2
Find the equation (in terms of x ) of the line through the points (-5,-4) and (3,-1)
Answer:
[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]
Step-by-step explanation:
The slope: m= 3/8
hope this helps.
Solve the system by using matrices.
X = 4
X + y = -6
4x - 3y + 2z = 26
Answer:
x=4, y=-10, z=-10
Step-by-step explanation:
.The sum of the angles of a polygon is 900⁰ .How many sides does it have
Answer:
heptagon
Step-by-step explanation:
Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how many frmale stufents are there?
Answer:
kzkakkalqlqoqowowpwowppw
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
please solve this construction for me
Answer:
Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz
( PLASE HELP ME) Solve the following equation.
5(x−4)=−10
Please provide both your answer AND your work. You will not receive full credit if you do not show your work for this question.
Answer:
x = 2
Step-by-step explanation:
5(x-4) =-10
Distribute 5 by multiplying x and -4 by 5
5x - 20 = -10
Add 20 to both sides
5x - 20 + 20 = -10 + 20
5x = 10
Divide both sides by 5
5x ÷ 5 = 10 ÷ 5
x = 2
-Chetan K
Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -
Answer:
I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.
If the second equation is incorrect, let me know and I'll be happy to help you :)
Algebra 1
i need help answering this
Answer:
hmm i'm not sure
Step-by-step explanation:
sorry
A number written in word is in:
Exponential form
Expanded form
Standard form
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
Brenda thought of a number divided it by 5 and then added seven to her answer she got the final number 11 what was her starting number
Answer:
20
Step-by-step explanation:
lets assume the number she thought of was x
[tex] \frac{x}{5} [/tex]
then she added 7 to it and got 11
[tex] \frac{x}{5} + 7 = 11[/tex]
l.c.m
[tex] \frac{x + 35}{5} = 11[/tex]
cross multiply
[tex]x + 35 = 11 \times 5[/tex]
[tex]x + 35 = 55 [/tex]
[tex]x = 55 - 35[/tex]
x = 20
THE DIMENSIONS OF A CUBED ARE 4X C.M,6X C.M AND 10X C.M
A.FIND THE THE TOTAL SURFACE AREA
B.FIND THE VOLUME
Answer:
A. 248 square CM
B. 240 cubic CM
Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?
Answer:
3/16
Total no.of beads = 16
No.of blue beads = 3
Probability of picking a blue bead = 3/16
Step-by-step explanation:
Hope this helps
can i get braineist pls
Bill and Ben each have three cards, numbered 1, 2 and 3. They each take one of their own cards. Then they multiply together the two numbers on the cards. a) What is the probability that their answer is an even number? b) What is the probability that their answer is a number greater than 5?
The probabilities are given as follows:
a) Even number: 5/9.
b) Number greater than five: 1/3.
What are probabilities?A probability is the division of the number of desired outcomes by the number of total outcomes.
Given that each person draws one card from a set of three, hence the total number of outcomes is given as follows:
3² = 9.
Using the Fundamental Counting Principle,
The nine outcomes are given as follows:
1 x 1 = 1.
1 x 2 = 2.
1 x 3 = 3.
2 x 1 = 2.
2 x 2 = 4.
2 x 3 = 6.
3 x 1 = 3.
3 x 2 = 6.
3 x 3 = 9.
There are five outcomes that end with an even number, hence the probability is of:
p = 5/9.
There are three outcomes ending with a number greater than five, hence the probability is of:
p = 3/9 = 1/3.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ2
what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?
What is the slope of this line?
Step-by-step explanation:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Answer:
slope = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph
m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]
find the mean of
35,26,31,16,21,23,27,30,26,17,19,27
Hello!
To find the mean, we must add all the terms in the dataset and divide by how many there are.
35+26+31+16+21+23+27+30+26+17+19+27=450
There are 12 terms in the dataset, so we divide by 12:
37.5
So the mean of this set is 37.5.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?
If necessary, round your answer to the nearest whole number.
9514 1404 393
Answer:
567
Step-by-step explanation:
The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...
900(0.95^9) ≈ 567
About 567 voters are expected to vote 9 years from now.
Solving inequalities unit portfolio task 2-3?
Answer:
What is the question from Solving inequalities unit portfolio task 2-3?
Step-by-step explanation:
Comment it down below and I will solve it! :D
Determine whether the function shown in the graph is even or odd.
The graph starts at the bottom left, continues up through the x-axis near negative one point seven five to a maximum around y equals two, goes back down through the x-axis at the origin to a minimum around y equals negative two, and goes back up through the x-axis near one point seven five.
A) The function is even because it is symmetric with respect to the y-axis
B) The function is odd because it is symmetric with respect to the y-axis.
C) The function is even because it is symmetric with respect to the origin.
D) The function is odd because it is symmetric with respect to the origin.
Answer:
the answer is d
Step-by-step explanation:
i got it right