All categories

3 years ago

Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4

Mathematics

1 answer:

Alex787 [66]3 years ago

8 0

Step 1: Simplify both sides of the equation.

3(x−3)+5=3x+1+4

(3)(x)+(3)(−3)+5=3x+1+4(Distribute)

3x+−9+5=3x+1+4

(3x)+(−9+5)=(3x)+(1+4)(Combine Like Terms)

3x+−4=3x+5

3x−4=3x+5

Step 2: Subtract 3x from both sides.

3x−4−3x=3x+5−3x

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

You might be interested in

a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?

Klio2033 [76]

Answer:

8 1/2

because 3 + 5= 8+ 1/2= 8 1/2

5 0

2 years ago

What are the roots to the equation 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

6 0

3 years ago

What is the value of q? 60 50 100 55

kap26 [50]

60? idk really srsly lalalalalallala

8 0

2 years ago

Standard form of (2,-4) slope : -1

gladu [14]

Y = mx + b
slope(m) = -1
(2,-4)...x = 2 and y = -4
now we sub and find b, the y int
-4 = -1(2) + b
-4 = -2 + b
-4 + 2 = b
-2 = b

y = -x - 2
x + y = -2 <== standard form

5 0

2 years ago

Forrest biked 11 2/9 miles in two days. He biked 3 1/4 miles on the first day. How many miles did Forrest bike on the second day

jok3333 [9.3K]

He ran 8 miles on the second day.
11 - 3 = 8.

6 0

2 years ago