[tex]\dfrac{7x^2+14}{(x^2+3)^2}=\dfrac{7x^2+21-7}{(x^2+3)^2}=\dfrac{7x^2+21}{(x^2+3)^2}-\dfrac{7}{(x^2+3)^2}=\dfrac{7(x^2+3)}{(x^2+3)^2}-\dfrac{7}{(x^2+3)^2}=\\=\dfrac{7}{x^2+3}-\dfrac{7}{(x^2+3)^2}[/tex]
A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.
What is the constant speed of Fast Freddy?
1/4
What is the constant speed of Speedy Sam?
Who ran faster?
The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute
The complete questionThe question is incomplete as the graphs and the tables are missing.
However, the points given in the question can be used to represent the graph and the table
The slopes of the graph and the table?By interpreting the points, we have:
Graph
(x, y) = (0, 0) and (4, 1)
Table
x y
4 0.5
20 2.5
32 4
The slope is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
Graph: [tex]m = \frac{1 -0}{4 -0} = 0.25[/tex]
Table: [tex]m = \frac{4 -2.5}{32 -20} = 0.125[/tex]
Their constant speedsFreddy's speed is represented by the graph, while Sam's speed is represented by the table
Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute
Who ran faster?Freddy ran faster because 0.25 is greater than 0.125
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Answer:
1. Freddy ran a speed of 1/4 miles
2. Sam ran a speed of 1/8 miles
3. Freddy ran faster
Step-by-step explanation:
Your welcome :)
flash is the best show to ever exist
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
Answer:
a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000
Answer:
answers in photo / +explanation
Step-by-step explanation:
a)
length: x+2
width/breadth: x-1
b)
length: 4m
width/breadth: 1m
area: 4m²
c)
R1000
An adult African elephant weighs approximately 8 tons. Which comparison is true
Find the measure of
Answer:
r = 76°
Step-by-step explanation:
61° + 43° + r = 180° { <'s on a straight line are supplementary}
104+r=180
r = 180-104
r = 76°
what is the solution to the equation 1/5n=3
a n=8
b n=15
c n=25
d n=125
Answer:
[tex]\huge\boxed{\sf n = 15}[/tex]
Step-by-step explanation:
Given Equation:[tex]\displaystyle \frac{1}{5} n = 3\\\\Multiply \ 5 \ to \ both \ sides\\\\n = 3 \times 5\\\\n = 15\\\\\rule[225]{225}{2}[/tex]
The average cost of tuition plus room and board for a small private liberal arts college is reported to be $9,500 per term, but a financial administrator believes that the average cost is higher. a study conducted using 350 small liberal arts colleges showed that the average cost per term is $9,845. the population standard deviation is $1,200. let α = 0.05. what is the p-value for this test?
If [2a -1] [-3-a]= (10), find the value of a.
Step-by-step explanation:
Step-by-step explanation:-6a-2a^2+3+a=10-7a-2a^2=10-32a^2+7a+7=0
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.
.✎let's answer it :3
question ⇩
✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.
answer ➡ 1.24 incheshope it helps
correct me if I am wrong
by #galadohannadivine29Someone pleaseeeee helpp meeeeee!!!!
Answer:
The slope is 0.
Step-by-step explanation:
x is the gradient of the line, so multiplying the slope, zero, by the gradient, x, would make this equal to zero.
Howard sells used helicopters, and he receives a 3% commission on all that he sells. If Howard received $42,000 in commissions last year, how many dollars worth of used helicopters did he Sell?
The worth of helicopter sold is $1,400,000
How to determine the total sales?The given parameters are:
Commission = 3% of salesCommission = $42,000This means that:
3% of sales = $42,000
Divide both sides by 3%
Sales = $1,400,000
Hence, the worth of helicopter sold is $1,400,000
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Need help with the question
Answer:
y = 3
Step-by-step explanation:
given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 57 when x = 19 , then
57 = 19k ( divide both sides by 19 )
3 = k
y = 3x ← equation of variation
when x = 1 , then
y = 3 × 1 = 3
help please and only answer if ur sure x
Answer:
9/10
Step-by-step explanation:
First you would have to make the denominators the same, and they have an lcd of 10. So multiply 2/5 by 2 which is 4/10
and then 1/2 by 5 to get 5/10
then add 4/10 and 5/10 together and you get 9/10
Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag
Answer:
there are 75 colors of each candy
Step-by-step explanation:
300÷4=75
how do u turn decimals into fractions
Answer:
place the decimal number over its place value
Step-by-step explanation:
For example in 0.4 the four is in the tenths place, so we place 4 over 10 like 4/10
Answer:
Step-by-step explanation:
Decimal to fraction: Write the decimal number with denominator 1Now , multiply the numerator and the denominator by 10 for every number after the decimal point.SimplifyExample:
4.52
[tex]4.52 =\dfrac{4.52}{1}[/tex]
In 4.52, there are two decimal places. So multiply the numerator and denominator by 100
[tex]\dfrac{4.52*100}{1*100}=\dfrac{452}{100}=\dfrac{452 \div 4}{100 \div 4}=\dfrac{113}{25}[/tex]
The table below shows the estimated population of fish living in the local lake as determined by the local
environment council every 10 years between 1960 and 1990.
The equation y = 1500(.9) describes the curve of best fit for the fish population (y). Let z represent the
number of 10-year intervals since 1960.
Year Population
1960
1500
1970
1350
1980 1210
1990 1100
Using this equation, what is the approximate predicted population of fish living in the lake in the year 2020?
A) 980
B) 800
C) 770
D) 720
The approximate predicted population of fish living in the lake in the year 2020 is; B: 800
How to Calculate Estimate population from a Table?
We are told that the equation that describes the curve of best fit for the fish population (y) is;
y = 1500(0.9)^(z)
where z represent the
number of 10-year intervals since 1960.
The table started in the year 1960 and we want to find the population in the year 2020.
Number of years after 2020 is;
2020 - 1960 = 60 years
60 years is 6 decades
Thus;
y = 1500(0.9)⁶ = 797 ≈ 800
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Which of the following best describes the graph below A.it is a one to one function B. It is not a function C.it is a many to one function D.It is a function,but it is not one to one
The graph is a one to one function , Option A is the correct answer.
What is a function ?A function is defined as the algebraic expression that identifies relation between a dependent and an independent variable.
All the function have a defined domain and Range.
To test that the given graph is a function ,
A vertical line test will be done , A vertical is passes through different points of the graph and for every unique value of x , we get a single solution of y , therefore it is a function
Then horizontal Line test is done to determine if it is a one to one function, for every y value there is only one x value.
The graph passes the horizontal line test.
Therefore The graph is a one to one function , Option A is the correct answer.
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Which of the following best describes /JKL?
32°
L
K
The best statement that describes the angle JKL is inscribed angle.
What is an inscribed angle?An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.
The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.
The angle ∠JKL is not a vertical angle because it's not vertically opposite any angle.
The angle ∠JKL is not a central angle because it was not from from the centre of the circle.
The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.
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13 - r < 82
PLA I NEED THIS
Answer:
r > -69
Step-by-step explanation:
13 - r < 82
subtract 13 from both sides
13 - r - 13 < 82 - 13
- r < 69
to flip the inequality sign, multiply both side by -1 to make r positive:
- r (-1) < 69 (-1)
r > -69
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
13-r<82
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First of all, we need to isolate r (get r by itself). What I Mean by that is
We need to get r by itself on one side of the inequality.
So it should look something like this:-
r<___
So r is all by itself.
How will we get r by itself? Well, First of all, we need to subtract 13 on both sides:-
[tex]\longmapsto\bf{-r < 82-13[/tex]
Simplifying,
[tex]\longmapsto\bf{-r < 69}[/tex]
Now, is r by itself? Nopes, There's also a minus sign next to it , which indicates that r is multiplied by -1.
So we do the opposite operation and divide both sides by -1:-
(watch what happens)
[tex]\longmapsto\bf{r > -69}[/tex]
The inequality sign changed from "less than" to "greater than".
This happened because we divided by a negative number on both sides.
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
7x + 2y = −12
3x + 4y = −24
Answer:
x= 0 , y= 6
Step-by-step explanation:
multiplying 1st equation by 2 and subracting equation 2nd from 1st
14x + 4y = -24
- ( 3x + 4y) = - (-24)
11x = 0
so, x=0
keep x=0 in equation 2nd
3*0 + 4y = -24
y = -24 / 4
so , y = 6
You paid $16.50 for a prescription plus $1.32 in sales tax. What is the sales tax rate?
Answer:
16.50+1.32 u happy its so easy
An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?
Answer: Hope this helps you!
6th floor
Step-by-step explanation:
If it starts on the 9th floor and goes down 7 floors that is:
9 (9 floors) + -7 (down 7 floors)
which is also equal to 9-7
9-7 = 2
Next, we need to go up by 4 floors starting with 2, 2+4
2+4 = 6
Brainliest?
Georgia drove 156 miles in 4 hours. If this rate continue, how many miles can he drive in 7 hours
Answer: he drives 273 miles for 7 hours
Step-by-step explanation:
What is the scale factor for XYZ TO UVW?
Answer:
D. 2
Step-by-step explanation:
If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.
75 points! what’s the lateral area, total surface area, and volume of this? please help me!
Answer:
yes of course it exists until to you practice a little bit hard. so let's. try
In a class of 75 students, 50 like visiting and 50 like Picnic. If each student like at least one activity, using Venn diagram, find the number of students who like both.
please help me with this question.
If each student like at least one activity, the number of student that like both is 25
How to solve Venn diagram?The class have 75 students.
50 like visiting and 50 like picnic.
Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;
let
x = student that like both
75 = 50 + 50 - x
Therefore,
75 = 100 - x
75 - 100 = -x
-25 = -x
x = 25
Therefore, the number of students who like both are 25.
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please help with math
PLS HELP NEED THIS ASAP
The probability that the dog that's selected will weigh less than 30 pounds will be 55%.
How to calculate probability?From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:
= 1 - 45%
= 55%
The probability that it weighs more than 30 pound given that it has long fur will be 27%.
The events are independent since the occurence of one doesn't affect the other one.
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Brian flips a fair coin 3 times
What is the probability of him getting exactly 2 tails?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
There are a list of possible outcomes:
TTT (1)TTH (2)THT (3) THH (4)HHH (5)HHT (6)HTH (7)HTT (8)This represents 8 outcomes.
The only ones that have two tails are:
TTH (1) THT (2) HTT (3)Because there are 3, this means that the probability in a fraction form of Brian getting exactly 2 tails is 3/8. P ( exactly 2 tails) = 3/8.
may i have help with this
Answer: D. 7^11
Step-by-step explanation:
For exponents with the same base, we just add the exponents and keep the same base. 7 is the same base; therefore 5+6=11 which means the answer is 7^11
A store manager wanted to see the relationship between
the number of computers sold, x, and store profit, y, on a
daily basis. The regression line is û = -150 +24x, where
x is the number of computers sold for the day.
What is the predicted store profit if 0 computers are
sold for the day?
O-$150
O-$126
$0
O $176
The predicted store profit if 0 computers are sold for the day is $-150.
What is the predicted store profit?
Profit is the total selling price less the cost price of an item.
Profit = selling price - cost price
Given the regression line, û = -150 +24x, substitute for x
û = -150 +24(0)
û = -150
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Answer:
The answer above is correct -150 is correct
Step-by-step explanation:
EDG2022