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scoundrel [369]
1 year ago
13

\huge x {}^{2} + 5 = 6" alt=" \bf \huge x {}^{2} + 5 = 6" align="absmiddle" class="latex-formula">
solve for x :



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\tiny \textsf{Song recommendations \:? }~
​
Mathematics
2 answers:
ira [324]1 year ago
5 0

<u>Given</u> :

  • x² + 5 = 6

<u>Subtract 5 from each side</u> :

  • x² + 5 - 5 = 6 - 5
  • x² = 1

<u>Take the root on each side</u> :

  • √x² = √1
  • x = ±1

<u>Hence, the values of x are</u> :

  • \fbox {x = 1}
  • \fbox {x = -1}
Lana71 [14]1 year ago
5 0

x^2+5=6\\x^2=1\\x=1 \vee x=-1

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What do mean where are ur options
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2 years ago
If 75 is added to a number, the result is 39 less than three times the number.find the number
antoniya [11.8K]

Answer:

The answer is x=57

Step-by-step explanation:

First, we would set the number to x.

Then, we turn the words into an equation.

x+75 = 3x-39

Isolate the x.

-2x = -114

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x = 57

3 0
3 years ago
Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus
quester [9]
Hi! 

To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20;  </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510

To calculate the degrees of freedom you need to use the following equation:

df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89≈34

The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10

So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.



5 0
3 years ago
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
VikaD [51]
The line segment is 10 units long
6 0
2 years ago
Read 2 more answers
A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry
worty [1.4K]

Answer:

The axis of symmetry is x=1

Step-by-step explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

x=\frac{5-3}{2}=1

therefore

The axis of symmetry is x=1

5 0
3 years ago
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