All categories

3 years ago

Part B: Solve 16x2 − 2x − 5 = 0 by using an appropriate method. Show the steps of your work,

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

16x2-2x-5=0
32x-2x-5=0
30x-5=0
x=1/6

You might be interested in

Given the following winning percentages of the teams in a league (for a single year) compute the within-season standard deviatio

Masja [62]

Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

$SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2} } }{N} }$

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

$X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\$

3. Caclulate Standard deviation:

$SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2} } }{5} }$

$SD=\sqrt{\frac{0.315}{5} }=\sqrt{0.063}\\SD=0.251$

7 0

3 years ago

Line p has a slope of -7/8

Alik [6]

Answer:

The slope of line q is $-\frac{7}{8}$ .

Step-by-step explanation:

We know that line p has a slope of $-\frac{7}{8}$ , and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be $-\frac{7}{8}$ as well.

6 0

2 years ago

Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

Answer:

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

Solution:

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

Read 2 more answers

Which statement is NOT always true?

Vera_Pavlovna [14]

Answer:

are you in 8B

Step-by-step explanation:

4 0

3 years ago

How do i solve this step by step? 3( q – 3 ) = 6

mote1985 [20]

Answer:

3q-9=6

3q=9+6

3q=15

q=5

7 0

3 years ago