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Dmitry_Shevchenko [17]
3 years ago
6

Ms. Carey wrote the equation: 3x-7-2/3 (9x-6) = 15 on the board. What is the solution to the equation? Show your work.

Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0

Answer:

x=−6

Step-by-step explanation:

<u>Step 1: Simplify both sides of the equation.</u>

3x−7-2/3(9x−6)=15

3x+−7+−6x+4=15(Distribute)

(3x+−6x)+(−7+4)=15(Combine Like Terms)

−3x+−3=15

−3x−3=15

<u>Step 2: Add 3 to both sides.</u>

−3x−3+3=15+3

−3x=18

<u>Step 3: Divide both sides by -3.</u>

−3x/−3=18/−3

x=−6

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Solve with solution...no spam answers pls
Agata [3.3K]
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
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This step is perfectly fine. 

In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

In Step 3, \dfrac{d}{dx} (8x)  was rewritten as \dfrac{d}{dx}(8) \dfrac{d}{dx}(x) supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, \dfrac{d}{dx}(8x)&#10; should be rewritten as 8 \dfrac{d}{dx}(x) and not as \dfrac{d}{dx}(8)\dfrac{d}{dx}(x).  

<span>Therefore, Hannah made a mistake in this step.</span>
6 0
3 years ago
Read 2 more answers
Can someone double check that this is correct? If not please correct me :)
bija089 [108]
Yeah you are correct, also I need brainlest please
7 0
2 years ago
Can someone help me
worty [1.4K]

Answer:

B = 129

Step-by-step explanation:

Opposite angles of a parallelogram are equal (or congruent)

A and C are both 51.

All angles in a parallelogram equal 360

Take both the known angles and substract from 360, than divide by 2.

B = (360 - 51 - 51)/2

B = 129

7 0
3 years ago
I need help with this 1 problem on my homework
Andru [333]

Step-by-step explanation:

10-5y=3x

1. add 10 to both sides

-5y=3x+10

2. divide everything by -5

y=-3/5x-2

3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point

4 0
3 years ago
1. What is the value of x? Show all of your work.
Colt1911 [192]
You can use the pathagorean theorm.
a^2 + b^2 = c^2
a^2 + 6^2 = \sqrt{117}^2
a^2 + 36 = 117
a^2 = 117 - 36
a^2 = 81
\sqrt{a^2} = \sqrt{81}
a = 9
x = 9
5 0
3 years ago
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