All categories

3 years ago

Identify the system of linear equations from the tables of values given below.

Mathematics

2 answers:

kolbaska11 [484]3 years ago

5 0

Answer:

The answer is... the first option... why equals negative x + 5 and y = x - 3

Ann [662]3 years ago

5 0

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

You might be interested in

A) Find y' if x^3 + y^3 = 6xy.

olya-2409 [2.1K]

A)

$\bf x^3+y^3=6xy\\\\
-----------------------------\\\\
3x^2+3y^2\frac{dy}{dx}=6\left( 1\cdot y+x\frac{dy}{dx} \right)\\\\\\ 3\left( x^2+ y^2\frac{dy}{dx}\right)=6\left( 1\cdot y+x\frac{dy}{dx} \right)
\\\\\\
 x^2+ y^2\frac{dy}{dx}=2y+2x\frac{dy}{dx}\implies x^2+ y^2\frac{dy}{dx}-2y-2x\frac{dy}{dx}=0
\\\\\\
\cfrac{dy}{dx}(y^2-2x)=2y-x^2\implies \cfrac{dy}{dx}=\cfrac{2y-x^2}{y^2-2x}$

B)

$\bf \left. \cfrac{dy}{dx}=\cfrac{2y-x^2}{y^2-2x} \right|_{3,3}\implies 
\begin{cases}
x=3\\
y=3
\end{cases}\implies -1
\\\\
-----------------------------\\\\
y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-3=-1(x-3)\\
\qquad \uparrow\\
\textit{point-slope form}$

solve for "y", and that'd be the equation of the tangent at 3,3

C) recall, the tangent is horizontal when the slope is 0, thus

$\bf \cfrac{dy}{dx}=\cfrac{2y-x^2}{y^2-2x}\implies 0=\cfrac{2y-x^2}{y^2-2x}\implies 0=2y-x^2\implies \cfrac{x^2}{2}=\boxed{y}
\\\\\\
now \qquad x^3+y^3=6xy\implies x^3+\left( \boxed{\cfrac{x^2}{2}} \right)^3=6x\left( \boxed{\cfrac{x^2}{2}} \right)
\\\\\\
x^3+\cfrac{x^6}{8}=3x^3\implies \cfrac{8x^3+x^6}{8}=3x^3
\\\\\\
8x^3+x^6-24x^3=0\implies x^6-16x^3=0
\\\\\\
x^3(x^2-16)=0\implies x=\{0,\pm 4\}$

so.. x =0 is not exactly in the first quadrant, x = -4 isn't either

so. the only choice is really x = 4... what's "y" when x = 4? well, just plug that into the $\bf x^3+y^3=6xy\qquad or \qquad \cfrac{x^2}{2}=y$

and solve for "y"

4 0

3 years ago

I like division show me the work 5 go into. 5÷274

nika2105 [10]

5√274
so 5 can't go into 2 so u put a zero and then decimal behind the zero over the two. next can 5 go into 27 ? yes 5times so then put the five behind decimal point then go and put the number 25 under the 27 and bring down the two and four now can five go into 24 yes it goes in 4 times so put the four behind the five and put the number 20 under 24 and bring down Ur 4 ..5 doesn't go into 4 so go and put a zero behind the 0.54 and it becomes 0.540 next add a zero to the four u brought down giving you 40 and five goes into that 8 times and the put Ur eight behind the 0.540 now u have 0.5408 ...
your answer is 0.5408

5 0

3 years ago

What is the value of x?

OlgaM077 [116]

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

6 0

3 years ago

Someone pls help me :)

klasskru [66]

25%

.3 + .2 + .15 + .1 = .75

1.00 - .75 = .25

120 students

There are 400 total students

.3 * 400 = 120

tennis-

.1 * 400 = 40 students prefer tennis

football-

.25 * 400 = 100 students prefer football

140 students like football/tennis

400 students

There are four quarters in a whole

.25% = 100

100 * 4 = 400

4 0

3 years ago

What is the solution to the equation 0.8m − 4 = −0.8m?

lidiya [134]

Answer:

m = 2.5

Step-by-step explanation:

Add 0.8 m to both sides, obtaining 0.8m + 0.8m - 4, or 1.6m - 4 = 0.

Now add 4 to both sides. Result: 1.6m = 4, and m = 4/1.6 = 2.5 = m

8 0

3 years ago