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Svetllana [295]
3 years ago
14

Seven more than the square root of a number is 12

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

7 + \sqrt{x} =12

Step-by-step explanation:

  • "Seven more" means to add 7
  • "The square root of a number" means the square root of a variable (I chose x)
  • "Is 12" means equals 12
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Solve for x.
Nonamiya [84]

-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\text{use distributive property}\\\\-\dfrac{2}{\not3_1}\cdot\not3^1x+\dfrac{8}{3}+3x=\dfrac{5}{6}\\\\-2x+3x+\dfrac{8}{3}=\dfrac{5}{6}\ \ \ \ |-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8}{3}\\\\x=\dfrac{5}{6}-\dfrac{8\cdot2}{3\cdot2}\\\\x=\dfrac{5}{6}-\dfrac{16}{6}\\\\\boxed{x=-\dfrac{11}{6}}

Other method:

-\dfrac{2}{3}(3x-4)+3x=\dfrac{5}{6}\ \ \ \ |\cdot6\\\\2(-2)(3x-4)+18x=5\\\\-4(3x-4)+18x=5\ \ \ \ |\text{use distributive property}\\\\-12x+16+18x=5\ \ \ \ |-16\\\\6x=-11\ \ \ \ |:6\\\\\boxed{x=-\dfrac{11}{6}}

7 0
3 years ago
Read 2 more answers
find the constant m and b in the linear function f(x)=mx+b so that f(6)=9 and the straight line represents by f has slope -4
Charra [1.4K]

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

4 0
3 years ago
Answers with links will be reported
Ber [7]

Answer:

11 months

Step-by-step explanation:

the math that i did was i kept adding 400 to 2500 and counted every four hundred that i added witch was 11 until i got to 7000 so the answer is 11 months. You will have some left over which you will have 300 left over.

8 0
2 years ago
There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. W
Radda [10]

Answer:

6%

Step-by-step explanation:

  1. 90 + 60 = 150
  2. 7 + 2 = 9
  3. Set up a proportion: \frac{9}{150} = \frac{x}{100}  
  4. Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6
  5. So, 6% of students in 6th grade were left-handed

I hope this helps!

6 0
3 years ago
Read 2 more answers
A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that
USPshnik [31]

Answer:

$204

Step-by-step explanation:

The question is at what price x will the company maximize revenue.

The revenue function is:

R(x) = 4,080x-10x^2

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

R(x) = 4,080x-10x^2\\\frac{dR(x)}{dx}=0=4,080-20x\\x=\frac{4,080}{20}\\ x=\$204

The company will maximize its revenue when the price is $204.

7 0
3 years ago
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