[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- We have given one function f(x) = -45x + 270 The given function represents the total distance in miles. The initial interval was x = 1 and final interval was x = 3 To Find :- We have to find the rate of change over the given interval Let's Begin :-Here, We have
Function = f(x) = -45x + 270The given function represents the total distance in miles covered by the traveller.
Therefore,
For initial interval that is x = 1 , Distance covered by the traveller
[tex]\sf{ f(x) = -45x + 270 }[/tex]
[tex]\sf{ f(1) = - 45(1) + 270 }[/tex]
[tex]\sf{ f(1) = - 45 + 270 }[/tex]
[tex]\sf{ f(1) = 225 }[/tex]
For final interval that is x = 3, Distance covered by the traveller
[tex]\sf{ f(x) = - 45x + 270 }[/tex]
[tex]\sf{ f(1) = - 45(3) + 270 }[/tex]
[tex]\sf{ f(1) = - 135 + 270 }[/tex]
Now,We have to find the average rate of change over the given time interval
Therefore,Average rate of change in the given time interval
[tex]\sf{ = }{\sf{\dfrac{ f(1) + f(3) }{3 - 1}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 225 + ( -135) }{ 2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 225 - 135 }{ 2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 90 }{ 2}}}[/tex]
[tex]\sf{ = 45 }[/tex]
Hence, The average rate of change over the given interval is 45 miles per hour.
is y – 2 = –5(x – 2) a linear function
Answer:
Yes
Step-by-step explanation:
y-2=-5(x-2)
y=-3(x-2)
Use synthetic or long division to divide x^3+ 5x^2+ x- 10 by x+ 2. What is the new
expression?
Answer:
x2+3x−5
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Answer:
1x^2 + 7x + 4/x+2
Step-by-step explanation: x^3+ 5x^2+ x- 10 by x+ 2.
| 1 5 -10
2 | ---- 2 14
________________
1 7 4
X+2 = not a factorable --
1x^2 + 7x + 4/x+2
Use the properties of equality to find the value of x in this equation.
4(6x – 7) = 44
Answer:
x = 3
Step-by-step explanation:
4(6x - 7) = 44
divide both sides by 4
6x - 7 = 11
add 7 to both sides
6x = 18
divide both sides by 6
x = 3
Carol and Peter to schoolCarol walks 3/5 a mile to walk to school Peter walks 0. 65 Which student has a father walk
Answer:
Peter.
Step-by-step explanation:
I’m assuming from context (your question was written poorly) you’re asking which student walked farther. This would be Peter. Why? Carol walked only 3/5 miles of the way to school, which would be .6 or .60
Peter walked .65 miles to school which is more than .60
A tablecloth of round Table is full and the radius 9 yd what is the diameterg
Answer:
18
Step-by-step explanation:
The radius is half of the diameter, so we would multiply 9 x 2 and get 18.
Hope this helps!
ABCD is a rectangle.Diagonal AD=10 and AB=8. What is the perimeter of the rectangle? *
A. 36
B. 16
C. 30
D. 40
on Saturday five girls held a car wash to earn money for each car they charged $6 the girls washed a total of 22 cars and collected an extra $10 in tips if they divide the money equally how much will each girl receive
This is due at 4:20 Can you please help
Answer:
$28.40
Step-by-step explanation:
First let's find how much they earned from washing the cars. They charged $6 for each car and washed 22 so 6x22=$132 from washing cars. After that they earned 10 more dollars so we have to add that. 132+10=$142 earned in total. Then we have to divide this total income between all of the girls. 142/5=$28.40 for each girl.
The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent no more than one day? Probability Distribution Days Absent: X Probability: P(X) 0 0. 78 1 0. 14 2 0. 03 03 2000. 01 4 0 5 0. 04 0. 08 0. 14 0. 78 0. 92.
The probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
What is the probability?
The probability is defined as the number of favorable occurrences of an event.
Given the probability distribution of the number of absence for one week,
x: 0 1 2 3 4 5
P(X): 0.78 0.14 0.03 0.01 0 0.04
We know that the probability of any event is always less than equal to 1. We can write that, [tex]P(x\leq 1)[/tex].
So the probability of randomly selected students who will be absent no more than one day is calculated as given below.
[tex]P = P (x=0) + P(x=1)\\P = 0.78 + 0.14[/tex]
[tex]P = 0.92[/tex]
Hence we can conclude that the probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
To know more about the probability, follow the link given below.
https://brainly.com/question/795909.
HELP FOR BRAINLEST!!!
Answer:
3/4
Step-by-step explanation:
add total NOT male (9) total NOT 0.3 to 0.7 seconds (11) and subtract the number that is both not male and not 0.3 to 0.7 seconds (5)
9+11-5 = 15
over total (20)
15/20 simplifies to 3/4
\frac{1}{2}=21=\,\,-\frac{3}{4}+\frac{3}{5}x−43+53x
Answer:
what?
Step-by-step explanation:
Option 2: Increase by 10% each year
linear and exponential growth graph
Type 2:
d =
e =
Answer:
Type 2: exponential growth
d = 121
e = 133
Answer:
Exponential growth
d: 121
e: 133.1
Step-by-step explanation:
edge 23
What is d?
-16 (d + 1) = -20
d=?
Answer:
Step-by-step explanation:
Simplify it. -16d-16=-20.
Add 16 to both sides. -16d=-4
Divide 16 by both sides.
d=1/4
pls help me pic in the file .
Answer:
p = 33/100 = 33%
Step-by-step explanation:
p (probability) = 1.00 - [variables]
p = 1.00 - (0.12 + 0.07 + 0.05 + 0.28 + 0.15)
p = 1.00 - 0.67
p = 33/100
Estimation for 6.76 + 2.91
Step-by-step explanation:
156 6.76 + 2.91 equal to 9.67
Find g(x), where g(x) is the translation 3 units right of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
g(x)=x2 +8= (x-0)2+8
Step-by-step explanation:
draw the image of quadrilateral ABCD under the translation (x,y) (x+4,y-3)
Answer:
Without seeing or knowing the original coordinates for each point, all I can tell you is to take the original coordinates and add 4 to the x. Then subtract 3 from the y. Plot accordingly
I need help.Im not very smart.
[tex]\frac{2}{3} x = 4\\2x = 4 * 3\\2x = 12\\x = 6[/tex]
Hope that helps!
if the area of a triangle is 128 sqcm and height is 12cm, find its base?
Area of triangle = 1/2 x base x height
128 = 1/2 x base x 12
Multiply both sides by 2:
256 = base x 12
Divide both sides by 12
Base = 21 1/3 cm
mr.spencer drives 200 miles in 5 hours what is the unit rate
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
3rd option
Step-by-step explanation:
the explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{-4}[/tex] = - 3 , then
[tex]a_{n}[/tex] = - 4 [tex](-3)^{n-1}[/tex]
Sean works at a book shop. He finds that when a book is chosen from the shop at random, the following probabilities are correct: P(non-fiction) = 0.37 P(paperback) = 0.23 P(both non-fiction and paperback) = 0.18 - Work out P(neither non-fiction nor paperback) as a decimal.
Answer:
0.22
Step-by-step explanation:
Add all the probabilities together then subtract it from 1
[tex]0.37+0.23+0.18=0.78[/tex]
[tex]1-0.78=0.22[/tex]
The total cost for my brother's bowling party was $140 It cost $50 to reserve a bowling lane plus the cost of renting shoes for the 9 people attending.
How much is the cost of renting shoes per person?
Answer:
10
Step-by-step explanation:
140-50 = 90 90/9 =10
.•*
689
Four friends buy cinema tickets using this offer.
Cinema tickets
Buy 3 tickets and get a ticket free
They each pay £7.05
How much does a ticket cost?
t
+
Answer:
7.04*4=x
x/3=how much the tickets cost
Step-by-step explanation:
If each of the four friends pays $7.04, the equation would be set up like this: 7.04*4=28.16. This means the total cost for tickets is 28.16. If the total cost for three tickets is 28.16, just divide the total cost by how many tickets were purchased. 28.16/3=9.39. This means one ticket cost 9.39.
[tex]\longrightarrow \sf £ \:9.4 [/tex]
Solution:-[tex]\leadsto[/tex]Money paid by 1 friend = £ 7.05
[tex]\leadsto[/tex]Money paid by 4 friend = £ 7.05 × 4
[tex] \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]= £ 28.2
This is equal to cost of 3 tickets
[tex]\leadsto[/tex] Cost of 3 tickets = £ 28.2
[tex]\leadsto[/tex] Cost of 1 ticket = £ 28.2 ÷ 3
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]=£ 9.4
Thus , each ticket cost £ 9.4 .
A recipe uses 2 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?
Answer:
24
Step-by-step explanation:
2 cups = 1 pint
2 cups = 12 serving
1 pint = 12 serving
2 pint = 12 x 2
2 pint = 24 serving
Which product is negative?
−3⋅5⋅(−6)⋅4
−3⋅4⋅(−2)⋅(−7)
−4⋅(−6)⋅(−3)⋅(−5)
−7⋅(−3)⋅(−9)⋅0
Answer:
c i hope I was not too late
What is the volume of the shape?
The volume of the triangular prism = [tex]V = (base-area)*height[/tex]
Thus the volume is [tex]\\V = (\frac{1}{2} *3*4) * 7 = 6 * 7 = 42[/tex].
Thus the volume is 42 cubic km.
Hope that helps!
what is the answer?
Answer:
A. P(3/4)
Step-by-step explanation:
(07. 04 LC)
Mellie is conducting a test on mold spores on bread. She uses 6 slices of bread to compare two strains of mold. She applies one strain to the left side of the bread and one strain to the right side. She flips a coin to decide which strain goes on the right side of the bread. The mold spores that appear on each side are counted and she records them in a table.
Bread Number of Spots for Strain 1 Number of Spots for Strain 2
1 30 19
2 21 17
3 15 15
4 13 12
5 6 9
6 8 4
If Mellie is to perform an appropriate t-test to determine if there is a mean difference between the number of spots per piece of bread produced by the two strains, how many degrees of freedom should she use?
a
4
b
5
c
6
d
10
e
12
Considering the t-test applied, the number of degrees of freedom is given by:
d. 10.
What is the number of degrees of freedom of a t-test?For a sample of size n, the number of degrees of freedom is given by:
df = n - 1
When there are m samples, the amount of degrees of freedom is m multiplied by the sum of degrees of freedom of each sample.
In this problem, there are 2 samples with 6 - 1 = 5 df, hence:
2 x 5 = 10.
Option d is correct.
More can be learned about a t-test at https://brainly.com/question/13873630
An isosceles triangle has an angle that measures 112°. What measures are possible for the other two angles? Choose all that apply. 14, 84, 34, 20
4. There is no triangle with sides 8, 6 and 14 True or False
please help it's urgent
Answer:
True
Step-by-step explanation:
Any two sides of a triangle is greater than the third side.