Answer:
12x² - 6; 21 inches ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The side lengths of a triangle are 4x² - 3 in., 4x² - 2 in., 4x² - 1 in.
∴ S1 = 4x² - 3 inches
∴ S2 = 4x² - 2 inches
∴ S3 = 4x² - 1 inches
→ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ P = S1 + S2 + S3
∴ P = 4x² - 3 + 4x² - 2 + 4x² - 1
→ Add the like terms
∵ P = (4x² + 4x² + 4x²) + (-3 + -2 + -1)
∴ P = 12x² + -6
→ Remember (+)(-) = (-)
∴ P = 12x² - 6
∴ The expression of the perimeter of the Δ is 12x² - 6
∵ x = 1.5
→ Substitute x in the perimeter expression by 1.5
∵ P = 12(1.5)² - 6
∴ P = 12(2.25) - 6
∴ P = 27 - 6
∴ P = 21 inches
∴ The perimeter of the triangle is 21 inches
The expression can be used to find the perimeter of the triangle is 12x² - 6 and its perimeter is 21 inches when x = 1.5
Answer:
B) (4, 0)
C) (0, -1)
E) (2, 3)
Step-by-step explanation:
If we see the rule of function then it says that,
a function is a special relationship where each input, x, has a single output, y.
It means that for every value of x there SHOULD be a different value of y.
A)
(-3,-2) Rejected
because when x = 3, y = -2
D)
(1, 6) Rejected
because when x = 0, y = 6
F)
(-5, 9) Rejected
because when x = 4, y = 9
Answer:
I say that d) is linear because I found the common difference of +2 in the y which makes the line of a graph straight.
And c) is non linear because there is no sequence so if you create a line out of this table, the line of a graph will not be straight.
Answer:
a) 
And using the normal distribution table or excel we got:
b) 
And we can use the normal standard table or excel in order to find the probability and we got:
Step-by-step explanation:
For this case we know that the random variable of interest is normally distributed with the following parameters:
Part a
We want to find this probability:
And we can use the z score formula given by:
Replacing we got:
And using the normal distribution table or excel we got:
Part b
We select a random sample of size n = 16 and we try to find this probability:
And we can use the z score formula given by:
And replacing we got:
And we can use the normal standard table or excel in order to find the probability and we got:
Answer:
Answer below!
Step-by-step explanation:
since y = -3x + 1, you can just plug those numbers in on the first equation.
6x + 2(-3x+1) = 2 (see how I replaced y into -3x + 1)
then distribute 2.
6x - 6x + 2 = 2, subtract 2 to both sides
6x - 6x = 0, combine x
0 = 0 (this means it has an infinite amount of solutions)
