Answer:
Any equation of the form
y = kx + b,
with b different from zero
Step-by-step explanation:
For example
y = 5*x +3
cannot be written in the form
y = k*x, because there is a term that shifts the graph upwards.
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
b = AC = 3
+ = 4
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2
)² - (3 )²
= 20 - 18 = 2 ( take square root of both sides )
BD =
Then
A = × 4 × = 2 × × = 4 cm²
Answer: b. $22.75
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then, 
, m= cost per topping and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = 
For x= 2 and y= 17.50, we have
tex]3.50=m(2)[/tex] [Subtract 14 from both sides]
[Divide both sides by 2]
For c= 14 and m =1.75 , our function becomes.
Now, for x= 5
Hence, the cost of a pizza with 5 toppings = $22.75
Answer:
3
Step-by-step explanation:
divide the equation by two
to make the equation equal to y
so y=(6x-8)/2
y=3x-4
y=mx+b
m=slope
b=y intercept
so 3=slope
Hope that helps :)
Answer:Think of the equation as an equation for a line
y=mx+b
where in this case
C= 5 /9 (F−32)
or
C= 5 /9 F - 5/9 x 32
You can see the slope of the graph is 5 /9
, which means that for an increase of 1 degree Fahrenheit, the increase is
5 /9 of 1 degree Celsius.
C= 5 /9 (F)
C= 5/9(1)
C=5/9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9/5 degrees Fahrenheit.
C= 5/ 9 (F)
1= 5 /9 (F)
(F)= 9 /5
Since
9/5 = 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C= 5 /9 (F)
C= 5 /9 x 5/9
C=25/81
(which is≠1)
An increase of 5/9
degree Fahrenheit leads to an increase of
25/81.
, not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
