Hey there!

Formula for the area of a triangle is (1/2)bh.
Base of this triangle is 5, height is 4.
Image attached.
Plug values into the formula:
A = (1/2)(5)(4)
Simplify.
A = (1/2)(20)
A = 10
Area of the triangle is 10 units².
Hope this helps!
Answer:
(a) -6
Step-by-step explanation:
P(x) = ax^3 +bx - 3
- P(-1) = -a-b-3 = 0
- therefore a+b=-3
- P(1) = a+b-3
- P(1) = -3 - 3 = -6
- (a)
Answer:
a)
b) r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Step-by-step explanation:
Assuming the following dataset:
Monthly Sales (Y) Interest Rate (X)
22 9.2
20 7.6
10 10.4
45 5.3
Part a
And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:
Where:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part b
For this case we need to calculate the correlation coefficient given by:
So then the correlation coefficient would be r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Find Total weight at left side

Now
Per block weight at right side

Answer: f(x) = − one fourth (x − 8)2
Step-by-step explanation: I'm not really sure how to explain it, but I'm almost 100% sure that's the right answer.