False
because
r=2
so
an=a1r^(n-1)
a4=(-1)(2^(4-1))
=(-1)(2^3)
=(-1)(8)
=-8
so a4 equals -8 not -6
Answer:
x = 6, y = -6
Step-by-step explanation:
solve for x and y
x + 3y = -12
y + 3 = -x + 3
add
(x + 3y) + -x + 3 = -12 + y + 3
3y + 3 = y - 9
2y + 3 = -9
2y = -12
y = - 6
x + 3(-6) = -12
x - 18 = -12
x = 6
Answer:
20 ton
Step-by-step explanation:
We created a system of two separate equations to answer these questions.
"y" will be the total cost to transport the sugar
"x" will be the amount of sugar transported
Therefore, we have to:
y = 3995 + 225.50 * x
y = 6500 + 100.25 * x
We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:
3995 + 225.50 * x = 6500 + 100.25 * x
solved we have:
225.50 * x - 100.25 * x = 6500 - 3995
125.25 * x = 2505
x = 2505 / 125.25
x = 20
which means that when the amount of sugar transported is 20 tons, the price is the same
Changing a fraction to its decimal form can be done by long division method. Dividing the denominator by its numerator will change the fraction into decimal form. Alternatively, you can use a calculator to do that for you. Below are the fractions with their decimal forms listed:
1.) 2/5 = 0.4 (D)
2.) 7/20 = 0.35 (A)
3.) 3/25 = 0.12 (C)
4.) 7/10 = 0.7 (B)
First vector orthogonal<span> to ⟨−</span>3<span>,4</span>