Ask question

Ask question

All categories

4 years ago

15

Examine this multistep equation with variables on both Which of the following is the solution to this equation? sides. Oy 0.09 0

.7(1.5+y) = 3.5y - 1.47 Oy= 0.17 y 0.9 y=1.7

1 answer:

STALIN [3.7K]4 years ago

7 0

Answer:

The answer is y=0.9

Step-by-step explanation:

I did the assignment on edgenuity

You might be interested in

Multiply.<br> (x - 2)(x + 3)

scoray [572]

I’m pretty sure the answer is x^2 + x - 6

4 0

3 years ago

Read 2 more answers

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

3 years ago

The value of y varies directly with x and y=3 when x=-6. Find y when x=1

Iteru [2.4K]

Hi, ok all you need to do is use the direct variation formula which is= y/x=y/x so you will replace your numbers by each value which get us to = 3/-6=y/1 so you cross multiply which gives us 3=-6y you divide 3 by -6 and that is the value of y, thank you for reading hope it helps ;)

6 0

3 years ago

miss Akunina [59]

Answer:

May be b is the answer...

5 0

3 years ago

Read 2 more answers

Jessica's annual salary decreased by 3800, which was a 9% decrease. what was Jessica's original salary?

Andrei [34K]

Answer:

Step-by-step explanation:

x = original salary

$3800 = (1-9%)x = (1-0.09)x = 0.91x

x = $3800/0.91 = $4175.82

7 0

3 years ago