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3 years ago

5^2x=28 (Help me please!!!!!!)

1 answer:

6 0

Okay so i would do this with a logarithm.
5^(2x) = 28
take the log of both sides
log5^(2x) = log28 and because of this log rule: logA^n = nlogA
(2x)log5= log28
then divide by log5 on both sides
2x = log28 / log5
and divide by 2
x = (log28 / log5) /2
this can be found with a calculator:

x= about 1.03521...
round that to whatever the question says to

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A student solved a quadratic equation as shown here:

djverab [1.8K]

Answer:

x = 3/2 or x = -4

Step-by-step explanation:

The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero

We proceed as follows;

$2x^{2} + 5x = 12\\2x^{2} + 5x - 12 = 0\\2x^{2} + 8x -3x -12 = 0\\2x(x+4) -3(x+4) = 0\\(2x-3)(x+4) = 0\\2x-3 = 0 or x+4 =0\\2x=3 or x=-4\\x = 3/2 or x= -4\\x = 1.5 or- 4$

6 0

3 years ago

5. Rounded to three decimal places, what is the value of r for this data set?

IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

x: 8 15 3 7 2 14
y: 15 21 6 12 3 20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>

∑x = 49
Mean = 8.167
∑(X - Mx)2 = SSx = 146.833

<h3>Y Values </h3>

∑y = 77
Mean = 12.833
∑(Y - My)2 = SSy = 266.833

<h3>X and Y Combined </h3>

N = 6
∑(X - Mx)(Y - My) = 194.167

The correlation coefficient (r) is then calculated as:

$r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}$

This gives

$r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\$

$r = 0.9809$

Approximate

$r = 0.981$

Hence, the value of correlation coefficient (r) for the dataset is 0.981

Read more about correlation coefficient at:

brainly.com/question/4219149

3 0

2 years ago

Solve the formula for the variable h f=12gh

Contact [7]

To solve for variable h flip the equation. You get: 12gh=f. After, divide both sides by 12 to get your answer: h=f/12g

8 0

3 years ago

Brain is skateboarding at 8 kilometers per hour. How long will it take Brain to travel 12 kilometers?

Vladimir [108]

Answer:

1.5 hours

Step-by-step explanation:

All you do is divide the speed by the distance 12/8=1.5 simple as that

Would be amazing if you marked me brainliest :)

8 0

3 years ago

Which answer best describes the complex zeros of the polynomial function?

marysya [2.9K]

<u>Answer-</u>

<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>

<u>Solution-</u>

The given polynomial is,

$f(x)=x^3-x^2+6x-6$

The zeros of the polynomials are,

$\Rightarrow f(x)=0$

$\Rightarrow x^3-x^2+6x-6=0$

$\Rightarrow x^2(x-1)+6(x-1)=0$

$\Rightarrow (x^2+6)(x-1)=0$

$\Rightarrow (x^2+6)=0,(x-1)=0$

$\Rightarrow x=\sqrt{-6},\ x=1$

$\Rightarrow x=1,\ \pm \sqrt6i$

Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1

3 0

3 years ago