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Zielflug [23.3K]
3 years ago
7

What is the value of y in the solution to the following system of equations?

Mathematics
2 answers:
dedylja [7]3 years ago
6 0

Answer:

{x,y} = {33/19,-2/19}

Step-by-step explanation:

mafiozo [28]3 years ago
4 0

Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.

For 2x-5y=-14, the answer is y=14/5 + 2x/5

Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.

I hope this helps you out! :)

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
UkoKoshka [18]

Since the limit becomes the undetermined form

\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}

it means that both polynomials have a root at x=1. So, we can fact both numerator and denominator:

x^3-2x^2+3x-2 = (x-1)(x^2-x+2)

2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)

So, the fraction becomes

\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}

Now, as x approaches 1, you have no problems anymore:

\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}

4 0
3 years ago
If you place a 39-foot ladder against the top of a 23-foot building, how many feet will
Alborosie

Answer:

31.5 ft

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 23² = 39²

Subtract 23² from both sides

a² = 39² - 23²

a² = 1521 - 529

a² = 992

Take the square root of both sides

a = 31.496031496

Rounded

a = 31.5 ft

4 0
3 years ago
Read 2 more answers
What is the definition for compatible numbers
Svetradugi [14.3K]
Numbers in a problem or related numbers that are easy to work with mentally
4 0
3 years ago
olga worked 37.5 hours last week qt the library and earned $12.50 an hour. if she gets a $2.50 per hour raise, how many hours wi
Airida [17]
(37.5)(12.5)=x(15)
468.75=15x
x=31.25

she will have to work 31.25 hours in order to earn the same amount of money
3 0
3 years ago
HELP PLEASEEEEE I'll give you a crown
arlik [135]

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

4 0
3 years ago
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