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Daniel [21]
3 years ago
9

Choose the most appropriate strategy and then use it to solve the quadratic equation.

Mathematics
1 answer:
dsp733 years ago
7 0

 (x-8) ^ 2 = 121
 
(x-8) = + / - root (121)
 x = 8 +/- root (121)
 The solutions are:
 
x1 = 8 + root (121)
 
x2 = 8 - root (121)
 2a ^ 2 = 8a-6
 2a ^ 2-8a + 6 = 0
 a ^ 2-4a + 3 = 0
 (a-1) (a-3) = 0
 The solutions are:
 
a1 = 1
 
a2 = 3
 x ^ 2 + 12x + 36 = 4
 x ^ 2 + 12x + 36-4 = 0
 x ^ 2 + 12x + 32 = 0
 (x + 4) (x + 8) = 0
 The solutions are:
 
x1 = -8
 
x2 = -4
 x ^ 2-x + 30 = 0
 
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
 x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
 x = (1 +/- root (1 - 120))) / 2
 x = (1 +/- root (-119))) / 2
 x = (1 +/- root (119) * i)) / 2
 The solutions are:
 
x1 = (1 + root (119) * i)) / 2
 
x2 = (1 - root (119) * i)) / 2
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Given that z is a standard normal random variable, find z for each situation. The area to the right of z is .1314. (Round to two
Mumz [18]

Answer:

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

6 0
3 years ago
Can anyone help me but also explain this !
Hatshy [7]
The answer would be 16

8 0
2 years ago
Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels,
lord [1]
Let N be no. of nickles. Then N($.05)+3N($.10)+2N($.25)=$3.40.

Or

4 nickels = $0.20
12 dimes = $1.20
8 Quarters = $2.00

Total = $3.40

6 0
3 years ago
What does x equal in this problem?
ivolga24 [154]
1 plus or minus 2i radical 2
i is the square root of -1
7 0
3 years ago
18. What is the slope of the linear function associated with the sequence {12, 9, 6, 3} for x = 1, 2, 3, 4?
Aloiza [94]

Answer:

D) -3

Step-by-step explanation:

Slope of a linear function:

The slope of a linear function is the amount by which y changes when x increases by 1.

In this question:

When x = 1, y = 12

When x = 2, y = 9

When x = 3, y = 6

When x = 4, y = 3

So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.

4 0
3 years ago
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