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ELEN [110]
3 years ago
6

What is the solution of the system of equations? {4x−3y=152x+2y=4

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0
Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4(2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to -7y = 7. Divide both sides by -7, and y = -1. Now plug the y value into the other equation: 2x + 2(-1) = 4. This simplifies to 2x = 6, and x = 3. 
X = 3, Y = -1   or (3,-1)
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Hey guys, I need help with this word problem. I don't just want the answer. I would like the steps please!
ASHA 777 [7]
So, you take the equation for y given, y=0.28x+5.92. Then you substitute the values for x in, like so: 
y=0.28(2)+5.92=6.42
y=0.28(5)+5.92=7.17
y=0.28(8)+5.92=7.92
So There's your table. Next:
7.88=0.28x+5.92
x=7, so the year when admission was approximately $7.88 is year 7. 
Next, 
10.04=0.28x+5.92
x=<span>14.7142857143, which rounds to year 15. 
I hope this helps!</span>
7 0
2 years ago
Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe
timofeeve [1]

A,B,C,D i.e. all statements are true!

<u>Step-by-step explanation:</u>

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

15x + 10y\geq 300 where, x is number of necklaces & y is number of bangles.

A.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : 15(12) + 10(12)  = 300 which follows inequality . True statement!

B.

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : 15(6) + 10(20) = 290 which follows inequality . True statement!

C.

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : 15(12) + 10(6) = 240, which follows inequality . True statement!

D.

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : 15(18) + 10(2)=290, which follows inequality . True statement!

7 0
3 years ago
Read 2 more answers
How to solve the polynomial 5x+3y+6x+9y
ANEK [815]

5x+3y+6x+9y

All you'd need to do is combine like terms. So add 5x to 6x and add 3y to 9y.

(5x+6x)+(3y+9y)

Final Answer: 11x + 12y

3 0
3 years ago
Read 2 more answers
If f(x)=3 x -1 and g(x)=0.03x^3-x+1 an approximate solution for the equation f(x)=g(x) is
lubasha [3.4K]

Answer:

  x ≈ {-11.789, +0.501, 11.288}

Step-by-step explanation:

The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...

  g(x)-f(x)=0\\\\0.03x^3-x+1-(3x-1)=0\\\\0.03x^3-4x+2=0

Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.

_____

<em>Comment on the problem statement</em>

Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.

3 0
3 years ago
Please help its hard btw
Rudiy27

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

7 0
3 years ago
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