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Serggg [28]
3 years ago
7

4+square root of 6x-24=x

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
Sqrt(6x-24) = x - 4
6x - 24 = (x - 4)^2
x^2 - 14x + 16 = 0
x=10 / x=4
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What value of R makes r/ -11 = (-3) true
marissa [1.9K]

Answer:

The value of r=33 which makes the equation true.

Step-by-step explanation:

Given the equation

\frac{r}{-11}=-3

We have to find the value of r for which the equation must be true.

solving the equation

\frac{r}{-11}=-3

Multiply both sides by -11

\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)

r=33

Therefore, the value of r=33 which makes the equation true.

<u>VERIFICATION:</u>

Putting r=33 in the equation

\frac{r}{-11}=-3

\frac{33}{-11}=-3

-3=-3              ∵ \frac{33}{-11}=-3

L.H.S = R.H.S

Therefore, the value of r=33 which makes the equation true.

7 0
3 years ago
For a field trip 9 students rode in cars and the rest filled three busses. How many students were in each bus if 99 students wer
taurus [48]

Answer: 30 students per bus

Step-by-step explanation: 99-9=90

90/3=30

30 students per bus

8 0
3 years ago
If 6^4x = 82, what is the value of x?<br> Round your answer to three places.
neonofarm [45]

Answer:

x=0.61485921

Step-by-step explanation:

The given equation is in exponential form:

6^{4x} =82

To find x we need to write it in logarithmic form:

b^{a} =n ⇒ log_{b} n=a

6^{4x} =82 ⇒ log_{ 6 }  82=4x

           2.45943684 = 4x

              \frac{2.45943684}{4} = x

           0.61485921 =x

To prove this, we can substitute the value into the given equation

             6^{4x} =82

6^{4(0.61485921)} =82

               82=82

Therefore, the answer is x=0.61485921

6 0
3 years ago
Solve for x, worth 10 points
Anton [14]

Answer: x=22

Step-by-step explanation:

Since the angles are corresponding angles, use x+14=5x-74. You get 36=36 meaning it is right when you substitute the value for x.

x+14=5x-74

-x on both sides

14=4x-74

+74 on both sides

88=4x

Divide both sides by 4

x=22

8 0
2 years ago
What are the steps for this inequality: 6z &lt; 48
cestrela7 [59]

Answer:

z<8

Step-by-step explanation:

First: write down the equation : 6z<48

Second: divide both sides with 6 (since its the only number that can be divided for both sides)

Third: then you'll get z<8

4 0
3 years ago
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