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Oduvanchick [21]
3 years ago
15

Find the two values that x can have if x2 – 12 = 37​

Mathematics
2 answers:
Sauron [17]3 years ago
4 0

Answer:

x1= -7 , x2 = 7

Step-by-step explanation:

x^2 = 37 +12

x^2 = 49

x = -7 or 7

siniylev [52]3 years ago
4 0

Answer:

x =  - 7 \\ x = 7

Step-by-step explanation:

{x}^{2}  - 12 = 37 \\  {x}^{2}  = 37 + 12 \\  {x}^{2}  = 49 \\ x =  \sqrt{49}  \\ x = 7 \\ x =  - 7

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Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
omeli [17]

Answer:

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8 0
2 years ago
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A page was missing from a 72 - page book. When Josh added up the remaining page numbers, the sum was 2521. Which page was missin
morpeh [17]
The numbers 1 to 72 add up to (1+72) x 72/2 = 73 x 36 = 2628
If we take away what Josh got we have 2628 - 2521 = 107
Pages in a book are odd on the first side and even on the second, so pages 11 and 12 are on the same sheet.
107 / 2 = 53.5 so the missing page had 53 on one side and 54 on the other side.
The remaining pages would have been numbered 1, 2, 3, ..., 51, 52, 55, 56, ... 71, 72
8 0
3 years ago
3(2 + f) = -15<br><br>A. 3<br>B. 7<br>C. -3<br>D. -7​
Scilla [17]

Answer:

D. (-7)

Step-by-step explanation:

3(2 + f) = (-15)

(3 . 2) + (3 . f) = (-15)

6 + 3f = (-15)

3f = (-15) - 6

3f = (-21)

f = (-21)/3

f = (-7)

5 0
2 years ago
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Use the following function rule to find f(0).<br> f(x)=3(8)^x + 6<br> f(0)=
Anestetic [448]

Answer:

Answer: 9

Step-by-step explanation:

{ \tt{f(x) = 3( {8)}^{x} + 6 }}

• For f(0), substitute x with zero:

{ \tt{f(0) = 3( {8)}^{0}  + 6}} \\  \\ { \tt{f(0) = (3 \times 1) + 6}} \\  \\ { \tt{f(0) = 3 + 6}} \\  \\ { \boxed{ \tt{ \: f(0) = 9 \: }}}

6 0
2 years ago
g Q3 [20 points] Suppose that your average heart rate is 72. The average heart rate in your class is 82 and the variance is 25.
Ganezh [65]

Answer:

2.28% of the class has a lower heart rate

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation(which is the square root of the variance) \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 82, \sigma = \sqrt{25} = 5

What percent of the class has a lower heart rate

Lower than 72, which is the pvalue of Z when X = 72.

Z = \frac{X - \mu}{\sigma}

Z = \frac{72 - 82}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

2.28% of the class has a lower heart rate

7 0
3 years ago
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