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3 years ago

Solve this equation for x: 6(4x+5)=(3x+8)+3 round to nearest hundredth

Mathematics

1 answer:

Colt1911 [192]3 years ago

5 0

Answer:

x = -7 or x = -0.142857

Step-by-step explanation:

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5. Solve the following differential equations

natita [175]

Answer:

Step-by-step explanation:

hello :

dy/dx = 3y sin x means : (1/3) dy/y =sinx dx.....continu integ

6 0

1 year ago

NEED HELP IM BEGGING YOU PLEASE!!!!!!!! HELP ME !!!!!!!!!!!!!

liberstina [14]

Answer:

1.Yes,No,Yes

2.Identitive

Step-by-step explanation:

I would say Identitive because it is being multiplied by 1 and this property states that anything multiplied by 1 is itself

8 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

2 years ago

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the la

Alex73 [517]

The degree measure is about 59° and the length of the ladder is 10√34 in or about 59.3in

3 0

2 years ago

Sentence.

Zarrin [17]

Answer:

Step-by-step explanation:

We need to set up a system of equations, then solve for the number of board markers.

Let r represent red pens, let b represent board markers.

She has 41 items, so our first equation is r+b=41.

The total cost is $46.30, so our second equation is .55r+1.5b=46.3.

r+b=41

.55r+1.5b=46.3

Let's use substitution.

r+b=41

r=41-b

.55r+1.5b=46.3

.55(41-b)+1.5b=46.3

22.55-.55b+1.5b=46.3

22.55+.95b=46.3

.95b=23.75

b=25

He bought 25 board markers.

6 0

3 years ago