Answer:
a. $6
b. the point (1,6)
c. slope of line is y=6x, plug in 1 as x
Step-by-step explanation:
Answer:
Using the estimate:
The car has to go for 1,200 miles but it consumes a gallon of gasoline for every 30 miles. The number of gallons it will need is therefore:
= 1,200 / 30
= 40 gallons
Each gallon costs $3.00 so the total cost is:
= 40 * 3
= $120
Without using the estimate:
The car has to go for 1,211 miles but it consumes a gallon of gasoline for every 29 miles. The number of gallons it will need is therefore:
= 1,211 / 29
= 41.76 gallons
Each gallon costs $3.40 so the total cost is:
= 41.76 * 3.40
= $141.98
<em>Using the estimate provides a lower cost of gasoline for the trip. </em>
Answer:
If m<1 = 38 then m<4 = 38
Step-by-step explanation:
Both of the angles equal 38 degrees. This is true because the angles are vertical, vertical angles are angles opposite each other where two lines cross. Vertical angles are also always congruent, therefore the m<4=38.
Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
Answer:
3 : (1/2) =
Step-by-step explanation:
Divide: 3 : 
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 
is 
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
In words - three divided by one half = six.
