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2 years ago

Solve. 3x^2 – 24x = –12

1 answer:

5 0

3x(x-8)=-12
x(x-8)=-4
x²-8x+4=0

USE QUADRATIC FORMULA:

x=(−b±√(b2−4ac))/2a
x=4+2√3 or x=4−2√3

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Biologists are studying a new bacterium. They create a culture with 100 of the bacteria and anticipate that the number of bacter

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Answer:

3000

Step-by-step explanation:

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2 years ago

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What is the equation for the line with a slope of - 2/3 that passes through (0, -2)

viktelen [127]

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

$y-y_{1} =m(x-x_{1})$

m is the slope. In this case, m is -2/3

y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

We can substitute these values into the formula

y- -2= -2/3(x-0)

Distribute -2/3

y+2 = -2/3*x + -2/3*0

y+2= -2/3x+0

Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.

y+2-2= -2/3x+0-2

y= -2/3x -2

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2 years ago

Noah said, “When you divide a number by a second number, the result will always be smaller than the first number.”

marshall27 [118]

Answer:

When dividing two fractions by each other, the result will be larger. Dividing two whole numbers, however, will always result in a smaller number because you're taking away a part of the number.

Step-by-step explanation:

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2 years ago

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

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2 years ago

At the baby next checkup the baby weighed 11 pounds and four ounces how many ounces did the baby gain since the appointment ment

V125BC [204]

Answer:

The baby weighs 8 pounds.

Step-by-step explanation:

Since there are 16 ounces in 1 pound, you divide 128 by 16 to get 8.

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3 years ago