Redued by 15%
orignal=100%
decrease by 15%=100%-15%=85%
find 85% of original
orignal=15 feet
85% of 15=0.85 times 15=12.75 feet
answer is B
Answer:0.25 or 25%
Step-by-step explanation:
If period of
is one-half the period of
and
<span>
has a period of 2π, then
and
.
</span>
To find the period of sine function
we use the rule
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then
, because
.
To find a we consider the condition
, from where
.
If the amplitude of
is twice the amplitude of
, then
has a product factor twice smaller than
and while period of
<span> </span> is 2π and g(0)=0, we can write
.
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
Answer:
2 students
Step-by-step explanation:
First, you find the number of students eating either salads and sandwiches. Then, you add the number of students eating salads and sandwiches together. Finally, you will subtract that number from the 12 total students
<h3>2/3 * 12/1 = 8 (sandwiches)</h3><h3>1/6 * 12/1 = 2 (salads)</h3><h3>8 + 2 = 10 (combined)</h3><h3>12 - 10 = 2 students</h3><h3 />
