Best to factor 5 out of the first 2 terms:
5x^2-7x+2=0 => <span>5(x^2 - [7/5]x) +2=0
Take half of [-7/5]: That'd be -7/10.
Square 7/10, add it to </span>5(x^2 - [7/5]x) +2=0 and then subtract it:
5(x^2 - [7/5]x)+ 49/100 - 49/100 ) +2=0
Then we have 5(x- [7/10] )^2 - 49/100 ) + 200/100 = 0
5(x-7/5)^2 - 245/100 + 200/100 = 0
5(x-7/5)^2 - 45/100 = 0
Dividing all terms by 5, x-7/5 = plus or minus sqrt( 9/100 )
x-7/5 = plus or minus 3/10
Then one root is x = 7/5 + 3/10, or x= 17/10 (answer #1)
The other is x = 7/5 - 3/10, or x = 14/10 - 3/10, or x = 7/10 (answer #2)
Answer:
The function for the model that gives the pressure in atm is given as:
P = 1.000 + 0.030*D
Step-by-step explanation:
From the question, we are given the Depth with corresponding P. Our duty is to calculate the Pressure (P) in the atm given the Depth (D). From this, we know that:
1. Pressure (P) is the dependent variable, and
2. Depth (D) is the independent variable.
Hence the function is a linear relationship which is known as regression equation. This can be achieve by estimating the:
i) Slope (β), and
ii) Intercept (α).
We can obtain the slope by:
, and
.
Hence, the function is:
= α + β D
You can achieve the task through R programming. Here is the R code.
#... this code in R programming
D = c(0,33,66,99,132)
P = c(1,2,3,4,5)
mod = lm(P~D)
mod.
############################
And we obtained P = 1.000 + 0.030 D
The answer is A. Here's how you get it. Law of cosines here looks like this:
17^2 = 22^2 + 30^3 - [2(22)(30)cosA]; which simplifies to 289=484+900-1320(cosA). Doing that math gives you 289 = 1384 - 1320(cosA), and -1095 = -1320(cosA). Divide both sides by -1320 to get
.829545 = cos A. Now use the inverse cosine on your calculator to get the missing angle measure.
Answer:
B
-15 < 99 and | -9 | < | 15 |
Step-by-step explanation:
Those lines " | " refer to absolute value, meaning it is the distance from 0. You can easily get this just by cutting off a negative sign.
So we do know -9 is greater than -15 obviously, and the absolute value of -9 is 9, because -9 is 9 units from 0.
-15 is 15 units away, so when using absolute value, -15 is greater than -9.
Btw, you can only give one brainliest, you don't get the option to give two on brainly.
Just saying.
Idc if I get it honestly.
Answer:
9
Step-by-step explanation:
If this is referring to plots on a grid the answer would be positive since your just counting the distance and its not an actual equation. 1 negative space plus 8 positive spaces equals 9
