Answer:
standard form to represent the situation equation is 5a + 4.75b = 72.50
Step-by-step explanation:
given data
selling popcorn = $5.00
hotdogs = $4.75
makes = $72.50
solution
we consider here number of bucket sold = a
and number of hotdogs sold = b
Then after 1 hour she makes $72.50
equation for number of popcorn and number of hotdogs sold after an 1 hour is express as
$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1
put here value and we get
72.50 = 5 × a + (4.75) × b
5 a + 4.75 b = 72.50
so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )
and here A and B are non zero with A, B and C all three are real number
so standard form to represent the situation equation is 5a + 4.75b = 72.50
Answer:
x = 32°
Step-by-step explanation:
Given:
Line AB║CD
Angle 1 = (2x + 15)°
Angle 4 = 101°
Find:
Value of x = ?
Computation:
We know that Angle 1 and Angle 4 stay on same line , so Angle 1 and Angle 4 are liner pair.
∴ Angle 1 and Angle 4 = 180°
⇒ (2x + 15)° + 101° = 180°
⇒ 2x + 116° = 180°
⇒ 2x = 180° - 116°
⇒ 2x = 64°
⇒ x = 32°
Therefore value of x 32°
Answer:
(-infinity, 4]
Step-by-step explanation:
The range is the possible y values
The smallest that (x+3)^2 can be is zero
f(x) = 4 − 2(x + 3)^2
f(x) = 4 -2(0) = 4
This is the maximum value
As the square term gets bigger we are subtracting a larger amount and it will get more negative
Let x = infinity, x+3 = infinity and infinity ^2 = infinity and 2* infinity = infinity
f(x) = 4 - infinity
= -infinity
The range is -infinity to 4
The lower left corner is the answer.
Angle 1 is congruent to angle 5 because they are alternate interior angles (assuming AB || DE)
They are on the inside of the parallel train tracks. By "train tracks" I mean the horizontal lines AB and DE. So they are considered interior angles. They are on alternate sides of the transversal AE. Angle 1 is on the right side while angle 5 is on the left side. These two facts are why they are considered alternate interior angles.
