Answer:
D Antenna #4
Step-by-step explanation:
As per given graph we can write the function
- the intercept is zero, as x=0, y=0
- at x=2, y=30 ⇒ 30= 2*15
- at x=4, y=60 ⇒ 60= 4*15
The slope is 15, so the function is
And the function for the antenna revolving at twice the rate would be
Comparing data in given tables we can see it is D Antenna #4
- x= 22 ⇒ y= 22*30= 660
- x=24 ⇒ y= 24*30= 720
Answer: x is for bouquets and y is for centerpieces.
Step-by-step explanation:
13x+4y=487
6x+2y=232
Answer:
The y-coordinate of point A is
.
Step-by-step explanation:
The equation of the circle is represented by the following expression:
(1)
Where:
- Independent variable.
- Dependent variable.
,
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that
,
and
, then the equation of the circle is:
(1b)
Then, we clear
within (1b):

(2)
If we know that
, then the y-coordinate of point A is:


The y-coordinate of point A is
.
Answer: 150 boys
Step-by-step explanation:
Let the number of boys be x
Since there were 200 more girls than boys, the number of girls will be: = x + 200
Since the ratio of boys to girls was 3:7, this can be solved further below:
3/7 = x/x+200
Cross multiply
(7 × x) = 3(x + 200)
7x = 3x + 600
7x - 3x = 600
4x = 600
x = 600/4
x = 150
The number of boys enrolled is 150
Number of Girls will be:
= X + 200
= 150 + 200
= 350
Check: Number of boys / Number of girls
= 150/350
= 3/7
= 3:7
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
The y- intercept is where the line crosses the y- axis
The line crosses the y- axis at (0, 3 ) ⇒ b = 3
(b)
y = -
x + 3 ← equation of line