Answer:
(- 7, - 2 ) , (9.5, 0.75 )
Step-by-step explanation:
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
(- 7, - 2 ) and (9.5, 0.75 ) are the solutions.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
To learn more on equation click:
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Giving brainliest to the person who answers correctly.
What type of angles are these?
Answer: I believe those would be opposite angles (aka vertically opposite angles).
pLsSsS hElP mE. iM dYiNg HeRe
Answer:
1. True
2. False
3. False
4. True
5. False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1- False
2- true
3- false
4- true
5- true
Write the following as an algebraic expression.
Subtract 3x + 5 from 6x-8.
The answer is
(Simplify your answer.)
Answer:
-0.002
3x+5=6x-8
Answer:
x=1.4
Step-by-step explanation:
6x-8 -3x+5
+3x +3x
So now we have: 9x-8 5 so add 8 on both sides, leaving you with 9x on one and 13 on the other. Now divide 13 by 9, which is 1.4_ so x=1.4
Now do 3 times 1.4 plus 5 and 6 times 1.4 minus 8 and the results you get for each you will need to subtract: (result of 6x-8) - (result of 3x + 5)
GOOD LUCK!!!!!!!!
what is (x^2+2)(5x+1) multipyed
Answer:
[tex]5x^{3} + x^{2} + 1 0 + 2[/tex] Is the correct answer
Step-by-step explanation:
in pic
(Credit: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
(x²+2)(5x+1) =5x³+x²+10x+2
hope it helps
Evaluate the expression (-1/2)^3
Answer:
-1/8 is correct answer
please mark me brainliest
Marci drove 175 miles. The trip took 3 1/2 hours. What was her average speed in mph
Answer:
50 miles per hour good luck!!
Step-by-step explanation:
basically all you have to do is divide 175 by 3 1/2
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
"Unless [the three branches] be so far connected and blended
as to give to each a constitutional control over the others, the
degree of separation ... essential to a free government, can
never in practice be duly maintained." James Madison, Federalist
48
Which principle best describes what Madison is explaining?
А
checks and balances
B
popular sovereignty
С
rule of law
Identify the parallel lines.
Answer:
lines m and n
Step-by-step explanation:
Uhh parallel lines are basically lines that have the same slope.
There are only three lines, lines m, n, and t
It can't be t because it's traversing lines m and n
so it has to be lines m and n
Hope that helps, let me know if you have any further questions
that's it can you did it?
Answer:
no sorry
Step-by-step explanation:
i just need the points tho so thanks
Answer:
[tex] \sqrt[3]{16 {a}^{3} } = \sqrt[3]{2(8) {a}^{3} } = 2a\sqrt[3]{2} [/tex]
I hope I helped you^_^
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answer:
C is the inequality
Hope it's help :D
Step-by-step explanation:
For question
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
HELP ME PLEASE I NEED CORRECT ANSWER
Answer:
see explanation
Step-by-step explanation:
The vertex is the coordinates of the turning point of the parabola
The axis of symmetry is a vertical line passing through the vertex with equation
x = c ( where c is the x- coordinate of the vertex )
vertex = (0, 0 ) , axis of symmetry is x = 0 ( the y- axis )
(1)
vertex = (- 2, 4 ) , axis of symmetry is x = - 2
(2)
vertex = (7, 1 ) , axis of symmetry is x = 7
(4)
vertex = (- 3, - 2 ) , axis of symmetry is x = - 3
PLS PLS PLS HELP ME!??(
Answer:
I asked this same question and I got this answer
Step-by-step explanation:
g (x) = 2x7x24 = 336
I'm not sure bc I asked the same question and got this answer from someone...
You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?
Answer:
Step-by-step explanation:
Combine the two sources of income (25 + 8) = 33
b = 75+ (33)w
Let b = 270
Solve for w
270 = 75 + 33*w Subtract 75 from both sides
270 - 75 = 33w
195 = 33w Divide by 33
195/33 = w
w = 5.91 weeks
The question is what do you do now?
The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.
(1/3)^2+3^2=
please I need help
Answer:
82/9
Step-by-step explanation:
Picture below
A company sets sales goals for employees each month.
At her current pace, how many items will Kristina sell in 28 days? Is she on track to meet the goal? Explain.
b. At his current pace, how many dollars worth of product will Jim sell in 28 days? Is he on track to meet the goal? Explain.
Answer:
A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal.
Step-by-step explanation:
By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.
Someone help me plz
Find the value of c-6 when c = 12
Answer:
6
Step-by-step explanation: You subtract 12-6
jasmine's cell phone company charges her $35 for the month plus an additional $1.50 for everyday she goes over her data. this month, she was charged $44. how many days did she go over her data?
Answer:
6 days
Step-by-step explanation:
$44 - $35 = $9
$9/$1.50 = 6 days
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8 - 5.3 x 10^*8 =
Answer:
3.7x10^8
Step-by-step explanation:
did it on calc
I don't understand what the "find the solution" part is asking me to do? Help is greatly appreciated.
Answer:
Step-by-step explanation:
[tex]a) x_{1+1}=\dfrac{(x_{1})^{3}-5}{10}\\\\x_{2}=\dfrac{(-1)^{3}-5}{10}=\dfrac{-1-5}{10}=\dfrac{-6}{10}= - 0.6\\\\\\ii) x_{2+1}=\dfrac{(x_{2})^{3}-5}{10}\\\\x_{3}=\dfrac{(-0.6)^{3}-5}{10}=\dfrac{-0.216-5}{10}=\dfrac{-5.216}{10}= - 0.5216\\\\\\[/tex]
2 1/3 + 3 1/4 as a fraction
Answer:
67/12 (just in case if they would ask you for the simplified form the answer in is 5 7/12)Step-by-step explanation:
convert both mixed fractions to improper fractions first
2 1/3 = 7/3 3 1/4 = 13/4
(cross multiplication method, to make both fractions have the same denominator)
7/3 + 13/4
7/3 × 4/4 = 28/12
13/4 × 3/3 = 39/12
28/12 + 39/12 = 67/12 (just add, denominator will remain the same)
67/12 (simplify)
67/12 = 5 7/12 (simplified)
Mathematics Ratio
Help plz
Answer:
480
Step-by-step explanation:
Check out the solution
i dentify the given condition anf the unknown
Answer:
Is there a picture i could go by to answer your question or is this is?
Can someone pls help it’s due in two hours
Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.
Answer:
y ≤ 20-8x
Step-by-step explanation:
Darren needs to spend no more than 15 hours on cardio exercise (y). To figure out how much time he has we need to do 20-8x. Any leftover hours are the hours left for him to spend doing his exercises. Since y has to be less than or equal to 20-8x, the system of linear inequalities should be:
y ≤ 20-8x
A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8
Answer:
p=6/8
Step-by-step explanation:
there are 8 sections total and 6 sections that are not yellow
you have a 6 in 8 chance of landing on a color that isn't yellow/
6/8
hope this helps!
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number? ASAP!!
Group of answer choices
A
B
C
D
Is it B?
Answer:
B
Step-by-step explanation:
B is on the upper half of the plane meaning its y-value is positive, however it is on the left side of the plane meaning its x-value is negative.
A would be (+,+)
C would be (-,-)
D would be (+,-)
how many feet is 535 from -8
Answer:
527 is your answer
Step-by-step explanation:
i dont know, i just did this for reason
Hello, how is your day? :)
Question
Keith has $450 in a savings account at the beginning of the summer. He wants to have at least $120 in the account by the end of the summer. He withdraws $55 each week for food, clothes and move tickets. How many weeks can Keith withdraw money from his account?