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Sphinxa [80]
1 year ago
8

Diego and Amit were trying to solve the equation: x^2-8x=1x 2 −8x=1x, squared, minus, 8, x, equals, 1 Diego said, "I can solve b

y completing the square. If I add 161616 to each side, I can rewrite the equation as (x-4)^2=17(x−4) 2 =17left parenthesis, x, minus, 4, right parenthesis, squared, equals, 17." Amit said, "I'll subtract 111 from each side and rewrite the equation as x^2-8x-1=0x 2 −8x−1=0x, squared, minus, 8, x, minus, 1, equals, 0. Then I'll use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=-1c=−1c, equals, minus, 1." Whose solution strategy would work? Choose 1 answer: Choose 1 answer: (Choice A) A Only Diego's (Choice B) B Only Amit's (Choice C) C Both (Choice D) D Neither
Mathematics
1 answer:
labwork [276]1 year ago
5 0

Answer:

Both.

Step-by-step explanation:

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Data on the oxide thickness of semiconductor wafers are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426,
DanielleElmas [232]

Answer:

423

Step-by-step explanation:

The sample mean is a point estimate of the population mean.

Therefore a point estimate of the mean oxide thickness for all wafers in the population is the mean of the sample data on the oxide thickness of semiconductor wafers.

To calculate the sample mean, we sum all the sample data and divide by the sample size which is 24.  We get 423.33 ≈423

7 0
1 year ago
What is the slope intercept form of (3,3) (7,-1)
kow [346]
Slope intercept form follows this general equation...
y=mx+b
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
m= \frac{y_2-y_1}{x_2-x_1}
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
m=\frac{-1-3}{7-3} =-1
You plug in -1 into your slope formula...
y=-1x+b
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
3=-1(3)+b
Just solve for b and you will be done
5 0
1 year ago
Alice and Betsy agreed to meet at 3:00PM and o shopping in one of the 6 clothing stores in their hometown.. However, they forgot
Norma-Jean [14]
They could miss each other 30 different ways. I solved this by drawing it out six different stores and making Alice and Betsy go to each one may different times. Example photo included for how I got the first five. Then I did the same thing, but switch A and B, counted that towards the total and continued the is drawing until all the possibilities were found.

5 0
2 years ago
A karate center has 120 students. The director wants to set a goal to motivate her instructors to increase student enrollment. U
iVinArrow [24]
A) Plan A requires for a percentage increase of a number of students. This means that year after year the number of new students will increase. Plan B requires for a constant number of new students each year. This means that year after year the percentage increase would get smaller.

B) To solve this problem we will use formula for a growth of population:
final = initial * (1+percentage)^{t}
Where:
final = final number of students
initial = initial number of students
percentage = requested percentage increase
t = number of years

We can insert numbers and solve for t:
240= 120* (1+0.12)^{t}  \\ 2=1.12^{t}   \\ log2=log(1.12^{t} ) \\ log2=t*log1.12 \\ t= \frac{log2}{log1.12}  \\ t=6.12years

For Plan B we can use simple formula
increase = 120
increase per year = 20
number of years = increase / (increase per year) = 120 / 20 = 6 years

Plan B is better to double the <span>enrollment.


C)We use same steps as in B) to solve this.
</span>

360= 120* (1+0.12)^{t} \\ 3=1.12^{t} \\ log3=log(1.12^{t} ) \\ log3=t*log1.12 \\ t= \frac{log3}{log1.12} \\ t=9.69years

For Plan B we can use simple formula
increase = 240
increase per year = 20
number of years = increase / (increase per year) = 240 / 20 = 12 years

Plan A is better to triple the enrollment.
3 0
2 years ago
On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h
maw [93]
311km/h = 86.389 m/s 
<span>Initial KE </span>
<span>= 0.5 * 210 * 86.389^2 J </span>

<span>work done by force of ground </span>
<span>= F * 0.81 J </span>

<span>0.5 * 210 * 86.389^2 = 0.81 F </span>

<span>F = 967433.58 N </span>

<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>

<span>F = 469.6 times capsule weight ---answer</span>
6 0
2 years ago
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