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Crazy boy [7]
3 years ago
5

Need help ASAP!

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0
Int this problem you will have 3 equations since BOTH expressions are inside absolute values they can be equal IF they are both negative, both positive or one of each.
Setup as follows
5y - 2 = 4y + 7          5y - 2 = -(4y + 7)        -(5y - 2) = 4y + 7
5y = 4y + 9               5y - 2 = -4y - 7            -5y + 2 = 4y + 7
y = 9                         5y = -4y - 5                 -5y = 4y + 5
                                 9y = -5                        -9y = 5
                                 y = -5/9                        y = -5/9

We just have 2 solutions (since one repeated) of y = 9 and -5/9
Sav [38]3 years ago
6 0
Simplifying
5y + -2 = 4y + 7

Reorder the terms:
-2 + 5y = 4y + 7

Reorder the terms:
-2 + 5y = 7 + 4y

Solving
-2 + 5y = 7 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-2 + 1y = 7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + 1y = 7 + 0
-2 + 1y = 7

Add '2' to each side of the equation.
-2 + 2 + 1y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 7 + 2
1y = 7 + 2

Combine like terms: 7 + 2 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9
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Answer:

D

Step-by-step explanation:

x²-4x-12≤0

x²-6x+2x-12≤0

x(x-6)+2(x-6)≤0

(x-6)(x+2)≤0

x=6,-2

∴ value of x lies between -2 & 6

3 0
1 year ago
Please Help Me Asap I Need Units Too
Lina20 [59]

Hello and Good Morning/Afternoon

<u>Let's take this problem step by step</u>:

<u>To find the rate of change is essentially like finding a line's slope</u>:

 ⇒ the <em>x-values</em> are the <em>number of sodas</em>

 ⇒ the<em> y-values </em>are the <em>total costs</em>

<em>               ⇒ choose</em> two sets of coordinates and find the slope

<u>Let's put that into action</u>

  • Choose any two points

        ⇒ (24, 18)

        ⇒ (28, 21)

  • Calculate Slope

        Rate_.of_.change = \frac{21-18}{28-24} =\frac{3}{4}

<u>Since the rate of change is total cost over number of sodas</u>

 ⇒ <em>unit is '</em>total cost/number of sodas'

<u>Answer: 3/4 total cost/number of sodas</u>

<u></u>

Hope that helps!

#LearnwithBrainly

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3 0
2 years ago
The sum of three consecutive numbers is 27. The smallest of the numbers is​
xeze [42]

Answer:

8

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=27

3x+3=27

3x=27-3=24

x=24/3=8

8 0
2 years ago
Read 2 more answers
Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&amp;=\dfrac54\\\\ \dfrac34+m-\dfrac34&amp;=\dfrac54+\
Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

\frac{3}{4}  + m =   \frac{5}{4}

Subtract-3/4 from both sides

\frac{3}{4}  -  \frac{3}{4}  + m =  \frac{5}{4}  -  \frac{3}{4}

Simplify

m =  \frac{5}{4}  -  \frac{3}{4}  \\ m =  \frac{1}{2}

7 0
3 years ago
Victor bought a computer for $1,800. He made a down payment of $200 and will pay the rest in 5 equal payments. If p represents t
Mrrafil [7]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
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