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slava [35]
3 years ago
5

Solve the quadratic equation. 3x^2 - 5= 70 (Please explain steps)

Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0
Simplifying
3x2 + -5 = 70

Reorder the terms:
-5 + 3x2 = 70
Solving
-5 + 3x2 = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 3x2 = 70 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2 = 70 + 5
3x2 = 70 + 5

Combine like terms: 70 + 5 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5} and that’s it.
pickupchik [31]3 years ago
3 0
1.Change the minus sign into a positive
2.add five to both sides
3.do 3 to the 2nd power
4. Divide the two numbers (the one with the variable and the number u got when u added five to it)
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Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Daniel [21]

Answer:

getting the queen is smaller

5/8

Step-by-step explanation:

There are 4 queens in a 52 card deck

P(queen) = 4/52 = 1/13

There are 12 pairs socks, 3 of which are grey

P(grey socks) = 3/12 = 1/4

1/13 <1/4

So getting a queen is smaller

The possible outcomes

8 +0  9+0   10+0  <em> 11+0</em>

8+1    9+1 <em>    10+1    11+1</em>

8+2<em>   9+2     10+2    11+2</em>

<em>8+3   9+3     10+3    11+3</em>

There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)

P (bedtime later than 10) = 10/16 = 5/8

3 0
3 years ago
Why is it important to reduce radicals
OleMash [197]
Simplifying radical expressions expression is important before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn't simplified the radical expressions, we would not have come to this solution. In a way, this is similar to what would be done for polynomial expression.
7 0
3 years ago
Need help I have a picture up
GrogVix [38]

Answer:

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Step-by-step explanation:

13.9 sounds correct, try it

8 0
3 years ago
The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?
Serggg [28]
Lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
 and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.
3 0
3 years ago
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0
3 years ago
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