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3 years ago

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Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

5.068 is the answer to the equation!

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If 8x -2=-9+7x,what is the value of 4x-4?

Dimas [21]

Well if my math is correct, x= -7, meaning 4x-4= (4*-7)-4. That equals -32.

Hope this helps.

7 0

3 years ago

Iready kara is sorting buttons by length for a craft project the line plot shows the length of each button if kara lines up all

lys-0071 [83]

Don’t know give details

4 0

3 years ago

Find the diameter of a circle whose circumference is 74cm

jenyasd209 [6]

Answer:

≈ 24 cm

Step-by-step explanation:

Hi there !

c = 2πr } => c = πd => d = c/π

2r = d

replace c ; π

π =3.14

d = 74cm/3.14

= 23.5668

≈ 24 cm

Good luck !

4 0

4 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

1400 dollars is placed in an account with an annual interest rate of 7.75%.To the nearest tenth of a year, how long will it take

mestny [16]

Answer:

46 years 1 month

Step-by-step explanation:

Let us assume the investment is a simple interest investment

The simple interest formula is

A= P(1+rt)

Given

Principal p= $1400

Rate r= 7.75%= 7. 75/100= 0.0775

Final amount A = $6400

Time t=?

To find the time t let us substitute our values in the simple interest formula

6400= 1400(1+0.0775t)

6400= 1400+108.5t

6400-1400=108.5t

5000= 108.5t

t=5000/108.5= 46.08

t= 46.1 years

It will take approximately 46 years 1 month to get the amount

6 0

3 years ago

Read 2 more answers