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2 years ago

The average low temperature by month in Nashville is represented by the function

Mathematics

1 answer:

malfutka [58]2 years ago

4 0

Answer:

Step-by-step explanation:

Given the average low temperature by month in Nashville is represented by the function f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19

d[f(x)]/dx = 2.8x + 19

Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get the average rate of change from March to August as shown;

d[f(x)]/dx at x = 5

= 2.8(5)+ 19

= 14 + 19

= 33

Hence the average rate of change from March to August is 33

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A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be $x.$

And the number of large mower be $y.$

So, total number of mowers are:

$x+y=30$

$x=30-y\ \ \ ....(1)$

Now, the total sales of mowers are:

$249.99(x)+329.99(y)=8379.70$

Substituting the value of $x$ from equation (1) we get:

$249.99(30-y)+329.99y=8379.70$

$7499.7-249.99y+329.99y=8379.70$

$7499.7+80y=8379.70$

Subtracting both sides by 7499.7 we get:

$80y=880$

Dividing both sides by 80 we get:

$y=11.$

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of $y$ in equation ( 1 ):

$x=30-y\\x=30-11\\x=19.$

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0

2 years ago

In a school of 330 students, 85 of them are in the drama club, 200 of them are in a sports team and 60 students do drama and spo

liq [111]

Let's denote students in D = in the drama club , S = in a sports team 
P(D) = 85/330 
P(S) = 200/330 

P(D and S) = 60/300 

P(D or S) = P(D) + P(S) - P(D and S) = 85/330 + 200/330 - 60/330 = 15/22 

P(neither D nor S) = 1- 15/22 = 7/22

7 0

2 years ago

Which is the smallest 0.37 0.194 0.6 0.473 0.29

wolverine [178]

0.37

0.194

0.6

0.473

0.29

the smallest digit at tenth place is 1 in 0.194, so 0.194 is the smallest here

4 0

2 years ago

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A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base as shown below.

sergiy2304 [10]

The equation of a parabola with vertex at (h,k) is
y=a(x-h)²+k

vertex isi at (0,0)

y=a(x-0)²+0
y=a(x)²
y=ax²
find a

we see that one point is (14,-74)
x=14 and y=-74

-74=a(14²)
-74=196a
divide both sides by 196
-37/98=a

the equation is

$y= \frac{-37}{98} x^2$

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2 years ago

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Evaluate variable expressions involving integers

murzikaleks [220]

What are the expressions

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2 years ago