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Zigmanuir [339]
3 years ago
6

What is the solution to the following equation? (5x-2)^2=10

Mathematics
1 answer:
GaryK [48]3 years ago
7 0
Take the square root of both sides to get rid of parenthasees, remember to get the positive and negative root
5x-2=+/-√10
add 2 to both sides
5x=2+/-√10
divide by 5
x=\frac{2+/- \sqrt{10} }{y}

x= \frac{2+ \sqrt{10} }{y} or \frac{2- \sqrt{10} }{y}

aprox
x=1.03246 or -0.232456
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What is the equation of the line that passes through the point (8, 8) and has a<br> slope of -22
Likurg_2 [28]

Answer:

Step-by-step explanation:

y - 8 = -22(x - 8)

y - 8 = -22x + 176

y = -22x + 184

7 0
3 years ago
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and pro
NARA [144]

Answer:

percentage of professional professor are 75

Step-by-step explanation:

Given data

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors  tenured will be here 70 - 40 = 30

so

percentage of professional professor are = 30 / 40 × 100

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5 0
3 years ago
What is the probability of rolling a sum of 3 on a standard pair of six-sided dice?
salantis [7]

To solve this problem, let us recall that the formula for probability is:

Probability = total number of successful events / total events

 

Where in this case, an event is considered to be successful if the sum is 3 on the pair of six sided dice.

 

First, let us calculate for the total number of events. There are 6 numbers per dice, therefore the total number of combinations is:

total events = 6 * 6 = 36

 

Next, we calculate for the total number of combinations that result in a sum of 3. We can identify that there are only two cases that result in sum of 3. That is:

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2nd case: first dice rolls 2, second dice rolls 1

 

Hence, total number of successful events = 2. Therefore the probability is:

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5 0
3 years ago
For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?
koban [17]

Answer:

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Step-by-step explanation:

1) Collect like terms.

(2x − x + 3x + x) + (5 − 2)

2) Simplify

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4 0
3 years ago
Read 2 more answers
The slope of the graph of the equation y=2x-2 is 2. What is the y-intercept?
Marina86 [1]
  The y-intercept is the "b" in the slope-intercept form of y=mx+b. Based on the equation you wrote, you can substitute each of your known values into the slope-intercept form.
3 0
3 years ago
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