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3 years ago

Find the value of X

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer:

x=8

Step-by-step explanation:

2(3x-8)=32 multiply 3x-8

6x-16=32 now you have equation of 6x-16=32

6x=16+32 add 16 to 32 not 6x

6x=48 divide 6 from each sides to find value of x

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3 years ago

Bert and Ernie are missing each other and their friend Big Bird They want to meet at Big Bird's nest which is halfway from their

algol [13]

Answer:

The distance between Bert and Ernie's apartments from Big Bird's nest

is 21 miles

Step-by-step explanation:

* Lets change the story problem to an equation to solve the problem

- The information i the story problem is

# The Big Bird's nest is halfway from there apartments

# The distance between Bert's apartment and Big Bird's nest is (5x + 4)

# The distance between Ernie's apartment and Big Bird's nest is (15x - 30)

* Now lets solve

∵ The Big Bird's nest is halfway from there apartments

∴ The distance between Bert's apartment and Big Bird's nest = The

distance between Ernie's apartment and Big Bird's nest

∴ 5x + 4 = 15x - 30

- Collect the variable terms in one side and the numerical terms

in th other side

∴ 15x - 5x = 30 + 4 ⇒ add

∴ 10x = 34

∴ x = 34 ÷ 10 = 3.4

* Now lets find the distance between Bert and Ernie's apartments

from the Big Bird's nest

- We can use any relation to find the distance

∵ The distance = 5x + 4

∵ x = 3.4

∴ The distance = 5(3.4) + 4 = 17 + 4 = 21 miles

You can check the answer by using second equation

∵ The distance = 15x - 30

∵ x = 3.4

∴ The distance = 15(3.4) - 30 = 51 - 30 = 21 miles

4 0

3 years ago

Х If two lines do not intersect, then they are parallel.

IrinaK [193]

If it is not intersect they are not parallel

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3 years ago

Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help m

zysi [14]

Answer:

$A=b(b+\frac{5}{2} )$

Step-by-step explanation:

hey there!!!

we know already that the area of a triangle is given as

$A=\frac{1}{2}b *h$

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

$A=\frac{1}{2}b * (2b+5)$

$A= \frac{2b^2}{2} +\frac{5b}{2}$

$A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )$

7 0

3 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x. In 2x - In(3x - 1) = 0

LenKa [72]

Answer:

$\frac{-1}{3x^2-x}$

Step-by-step explanation:

If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

using these information:

g(x)=ln2x then g'(x)= $\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}$

h(x)=In(3x - 1) then h'(x)= $\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}$

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3 years ago