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sweet [91]
4 years ago
14

How do you solve the equation by factoring or square roots Ex: x^2-4x=0

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
3 0
x^2-4x=0\\
x(x-4)=0\\
x=0 \vee x=4

-------------------------------------------------

3x^2=48\\
x^2=16\\
x=-4 \vee x=4\\\\
\hbox{or}\\\\
3x^2-48=0\\
3(x^2-16)=0\\
3(x-4)(x+4)=0\\
x=4 \vee x=-4
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A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car
Artyom0805 [142]

Answer:

Therefore $98 is be charged a bus containing 30 people.

Step-by-step explanation:

Given that,

A state park charges an entrance fee based on the number of people in vehicle.

Let the entry fee for the vehicle be E and entry fee for each person be x.

Then

C= E+(P×x)

C= Total charge in $

E= entry fee for a vehicle

P=No. of person

x= Entry charge per person.

Given A car containing 2 people charged $14

C=$14, P=2

∴14= E+(2× x)

⇒E+2x=14.....(1)

Again A car containing 4 people charged $20

C=$20, P=4

∴20= E+(4× x)

⇒E+4x=20.....(2)

Subtract (1) from (2), we get

E+4x-(E+2x)= 20-14

⇒E+4x-E-2x=6

⇒2x=6

⇒x=3

Putting the value of x in equation (1)

E+(2×3)=14

⇒E=14-6

⇒E=8

Therefore E=$8 and x=$3

Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case

Here P= 8

Therefore C= E+(P×x)

                    = 8+(8× 3)

                    =8+24

                   =$32

Therefore our assumption is correct.

Now C=? , P= 30

The charged for the 30 people is

C= $[8+(30×3)]

  =$[8+90]

 =$98

Therefore $98 is be charged a bus containing 30 people.

4 0
4 years ago
Find the solution of the system of equations.
irina1246 [14]

Answer:

x = -5 ;  y= -1

Step-by-step explanation:

10y = -10

y = -1

-8x = 44 -4

-8x = 40

x = -5

4 0
3 years ago
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a
slava [35]

Answer:

6 blue marbles

Step-by-step explanation:

Given;

Total number of marbles N = 15

probability of randomly selecting a green marble

P(G) = 1/5

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25

P(G∩B) = P(G) × P(B)

P(B) = P(G∩B) ÷ P(G)

The probability of selecting a blue marble

P(B) = 2/25 ÷ 1/5 = 2/5

The number of blue marbles N(B) = P(B) × N

N(B) = 2/5 × 15 = 6

There are 6 blue marbles

7 0
3 years ago
6/100 + 5/100 +80/100 +9/100
xz_007 [3.2K]

♡ The Question ♡

- 6/100 + 5/100 +80/100 +9/100

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

-  1

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- 6/100 + 5/100 + 80/100 + 9/100

Apply the fraction rule! --> a/c + b/c = a + b over c

6/100 + 5/100 + 80/100 + 9/100 = 6 + 5 + 80 + 9 over 100

Add the numbers: 6 + 5 + 80 + 9 = 100!

= 100/100 Apply the fraction rule! a/a = 1

a/a = 1 = 100/100 = 1

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

- No tips provided!

4 0
3 years ago
Read 2 more answers
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
irakobra [83]

Answer:

the 3rd one im pretty sure

Step-by-step explanation:

8 0
3 years ago
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