Answer:
$(80.5x + 69)
Step-by-step Explanation:
Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.
Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.
Thus, Gloria buys:
4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)
2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)
10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)
8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)
Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)
Open the parentheses and then simplify:
Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x
= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36
Total cost = $(80.5x + 69)
The graph that represents 2+3 is the one that mean go add then multiply it to the equation that the number will be
S and P are mutually exclusive events.
P ( S ) = 20% = 0.20
P ( T ) = 22 % = 0.22
The probability of mutually exclusive events:
P ( S or T ) = P ( S ) + P ( T )
P ( S or T ) = 0.20 +0.22 = 0.42
Answer: The probability of ( S or T ) is 0.42 or 42 %.
Answer:
C.8.12 units
Step-by-step explanation:
Given the coordinates of two points:
The distance between these points is determined by the following equation:
We can extract the exact coordinates from the graph provided by the problem:
Therefore:
I don't see the correct answer from the choices given. So I would say the most aproximate is C.
Answer:
<u>k = 3</u>
Step-by-step explanation:
one zero of p(x) = kx²– 14 x + 8 is 6 times the other.
let the zeros are ⇒ a and 6a
the equation kx²– 14 x + 8
can be written as k ( x²/k– 14/k x + 8/k)
So, a * 6a = 8/k ⇒ (1)
And a + 6a = 14/k ⇒ (2)
from (2) k = 14/(a + 6a) = 14/(7a) = 2/a
∴ a = 2/k
Substitute at (1)
a * 6a = 8/k
2/k * 12/k = 8/k
solve for k
24/k = 8
k = 24/8 = 3
<u>the value of k = 3</u>
And the zeros will be 2/3 and 4
