All categories

4 years ago

Which value from the set { 3, 8, 9, 14 } makes the equation true? 2n - 5 = 11

Mathematics

1 answer:

HACTEHA [7]4 years ago

8 0

Answer:

Step-by-step explanation:

2(3) -5 = 1 false

2(8) -5 = 11 true

2(9) -5 = 14 false

2(14) -5 = 23 false

You might be interested in

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

4 years ago

The second of two numbers is 8 less than twice the first number, what are the two numbers?

Mashutka [201]

So the two numbers can be represented as x and y

so x is first and y is second

y=2(x)-8

so y=2x-8

IF THEY ARE CONSECUTIVE
If they are consecutive numbers then
x+1=y
subtitute
x+1=2x-8
subtract x from both sides
1=x-8
add 8 to both sides and get
9=x
put it into the equation and get
y=2(9)-8
y=18-8
y=10
so x=9
y=10
IF X AND Y ARE CONSECUTIVE INTEGERS (1,2,3,4 not 2.3 or 1,3,5,8)

3 0

4 years ago

Read 2 more answers

Please help me only do 5-7

Monica [59]

Answer:

5. n = 135

6. n = 3

7. 214

8 0

3 years ago

A snail is at the bottom of a 10 ft wall. Each day it climbs up 3 ft . Each night it slides back down 1 ft. On which day will it

krek1111 [17]

He will reach the wall in

DO IT YOURSELF ANSWER:
if the snail falls 1 ft every night count the 3 as 2

QUICK ANSWER:
he will reach the top in 5 days

4 0

4 years ago

Read 2 more answers

If 5w -1 = w then 12w =

pshichka [43]

w = ¼

so 12w= 3

because we set it up like 5w-1= w then subtract the w so it’s on the same side as the other w. then we add the one and divide the one by 4 to get the w by itself. then you plug the ¼ into the equation 12(w) to equal 3!

5 0

3 years ago