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2 years ago

Write an expression for 5 times the difference of twice a number and 4

Mathematics

1 answer:

777dan777 [17]2 years ago

4 0

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

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If you are good at determining sequences please help! (Show work)

ziro4ka [17]

Answer:

-62.5008

Step-by-step explanation:

the pattern here is dividing by -5, so just continue dividing by -5 starting on -3 and continuing 4 more times. record each number and then add them together using a calculator. you will get -62.5008

Please mark brainliest :)

8 0

3 years ago

PLEASE HELP ME!!! 10 points!

Brut [27]

Answer:

5/4

hope it helps u

3 0

2 years ago

Read 2 more answers

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

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

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

3 years ago

Find a, (x-3) + (x-a) = 15

slega [8]

a = 2x - 18

remove the parenthesis and simplify

x - 3 + x - a = 15

2x - 3 - a = 18 ( add 3 to both sides

2x - a = 18 ( subtract 2x from both sides )

- a = 18 - 2x ( multiply through by - 1 )

a = - 18 + 2x

a = 2x - 18

8 0

3 years ago

The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 90 cubic centimeters.

exis [7]

Answer:

$\huge\boxed{\sf Volume\ of\ cylinder = 270\ cm^3}$

Step-by-step explanation:

Volume of cone = 90 cm³

Volume of cylinder = ?

<u>Always remember:</u>

Volume of cylinder = 3 × volume of cone

Volume of cylinder = 3 × 90

Volume of cylinder = 270 cm³

$\rule[225]{225}{2}$

5 0

2 years ago