Using linear function concepts, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The explanatory variable fat is the input.The response variable calories is the output.The equation is:
[tex]y = 121 + 1.42x[/tex]
The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at https://brainly.com/question/16302622
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
only answer bottom one!! brainliest + 5 stars & a heart <3
Answer:
$119.98
Step-by-step explanation:
She wants to know how much her membership will be so sence it $59.99 an month you times that by 2, 59.99 × 2 =119.98 and if your rounding
119.98 rounded to nearest whole number is 120
The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?
A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.
Answer:$62
Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.
Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?
Answer:
She'd have $45
Step-by-step explanation:
4% of 75 is 3 dollars.
So 3 dollars per year and after 10 years the account lost $30 to the simple interest.
3*10(AmountOfYears)=30
So 75-30=45
$45 would be left in the savings account.
The following graph shows Taylor's journey home. The y-axis is the distance Taylor is from home. The x-axis shows the time of his journey. According to the graph, what is the farthest distance Taylor was from his home?
options:
10 meters
18 meters
18 minutes
8 meters
Answer:
10 meters
Step-by-step explanation:
it is the highest point of the graph
What are the coordinates of the terminal point determined by T=20pi/3
Answer:
t=5x=3049
Step-by-step explanation:
Answer:
The answer is cos=(-1/2, square root -3/2)
Step-by-step explanation:
The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points
Answer:
C
Step-by-step explanation: for j(x) = k(x)
My English is not good, please forgive me
Solve the simultaneous equation
2x-5y=9
3x+4y=2
Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]
Cancel the common factor of 2.
Divide x by 1.
[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]
[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]
----------------------------------------------------------------------------------------------------------------
3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]
Cancel the common factor of 3.
Divide x by 1.
[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]
[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]
f(x)=5x-1; find f (-2), f (0), and f (x+1)
Answer:
f(-2) = -11
f(0) = -1
f(x+1)= f (x+1)=5x+4
Step-by-step explanation:
Max is conducting a study on the most used phone applications among a group of 500 students at Fairmont High School. 150 students reported using Snapshot most, while 200 students reported favoring Instapic. The rest of the students reported using Photobooth. What is the ratio of the number of students using Photobooth to those students using Instapic?
Answer:200:150
Step-by-step explanation:
Answer: 3:4
Step-by-step explanation:
Choice B is the correct answer. The number of students using Photobooth is equal to
500 - (150+200) = 150
people. To find the ratio of students using Photobooth to those using Instapic:
150/200 = 3/4
This fraction can be converted to a ratio, of 3:4
A package of 5 pairs of insulated socks costs $26.45. What is the unit price of the pairs of socks?
Answer:
$5.29 per pair of socks
Step-by-step explanation:
26.45/5=5.29
After 3.5 days, the height of the plant is ______
centimeters.
The height of the plant is 6.25 centimeters after _______
days.
Answer: I think this is what the top answer meant. Let me know if I am wrong though!
After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.
Given that a function h = 0.5d + 4 showing the height h of a plant in d days,
So, the equation of the line is:
h = 0.5d + 4
For 3.5 days put d = 3.5,
h = 0.5(3.5) + 4
h = 5.75 cm
To find the number of days after height of the plant is 6.25 centimeters.
Put h = 6.25,
6.25 = 0.5d + 4
2.25 = 0.5d
d = 4.5 days
Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.
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Complete question is attached.
Caitlin earned $5 for each baby hat she knitted. SHe wanted to make at least $50 before spring break. Which equation best represents this situation?
a. 5x>50
b. 5x<50
c. 5x>_50
d. 5x<_50
Answer:
c. 5x>_50
Step-by-step explanation:
Each hat earns her $5.
x number of hats will earn her 5x.
At least $50 means $50 or more, so it means the same as greater than of equal to 50.
5x >_ 50
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
Someone please help me with this problem! Will mark brainliest!
Answer:
I need a question, then I will help
Step-by-step explanation:
How are rates and ratios related?
Answer:
Rates are ratios that are renamed so that one of the numbers is 1. It is usually the denominator of the original ratio.
Given the linear equation r=-2.5 t and t can only be a negative number, what quandrant will the r coordinate be located?
Answer:
quadrant 4 i think
Step-by-step explanation:
Answer:
Actually the correct answer is 2
Step-by-step explanation:
what should step 3 say?
Answer:
12x + 15 = 15
Step-by-step explanation:
step 2
9x + 3x + 15 = 15 ( collect like terms on left side )
step 3
12x + 15 = 15
What letter comes after f
Answer:
g.....
Step-by-step explanation:
g.....
the letter is g
The letter g comes after the letter f.
What are Alphabets?An alphabet is a set of graphs or characters used to represent the phonemic structure of a language
The english alphabets are a, b, , c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u , v, w, x, y and z.
The alphabets help to form the basis of our language and communication for a lifetime.
There are twenty six letters in the english alphabets.
As we see the order of alphabets.
The letter g is next to the letter f.
They help to form the basis of our language and communication for a lifetime.
Hence, the letter g comes after the letter f.
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what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.
PLS HELP I NEED THIS ASAP
Answer:
width = 25cm
Step-by-step explanation:
perimeter = 84
length =17
A) 84 = 17(2) + 2w
B) 84 = 34 + 2w
-34 -34
50=2w
/2 /2
25=w
What division problem is being modeled? Please ignore the 3/4!
Answer:
4 groups of 3
Step-by-step explanation:
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
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ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer: y = -5/3x + 4 and 5x + 2y = 4
Step-by-step explanation:
1. Firstly, we should substract 5x on both sides of the equation.
3y = -5x + 12
Then we divide by 3 on both sides of the equation. This would give us our answer.
y = -5/3x + 4
2. The answer is 5x + 2y = 4.
The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.
2y = -5x + 4
Then we should divide 2 on both sides of the equation.
y = -5/2x + 4
The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.
Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Joan paid 60 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
Lance wrote down a lot of plus sevens and minus fours. Altogether he wrote 22 digits. When he came to add them all up the total was zero. How many plus sevens were there?
F (-6,-5) G (3,-4) H(3,-7) the scale factor is = 1/8
Answer:
1/8" = 1'-0" Invert the fraction and multiply by 12
Step-by-step explanation:
i hope this help
A water bucket in your backyard has a small hole in it. You notice that it drained a total of 3.5 liters
in 4 days. What is the average change in water volume each day? (hint: divide)
The total area of Fred's yard is 60 square feet. The length is 6 feet. What is the width?
Answer:
Step-by-step explanation:
Answer:
10 square feet
Step-by-step explanation:
Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean
Answers:
Mode = 2Median = 2Mean = 2.8===================================================
Work Shown:
Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}
Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}
Do not toss out the duplicates.
The most occurring or most frequent value is 2, so this is the mode.
---------------------------
To find the median, we divide the n = 20 item set into two parts
n/2 = 10
So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.
The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2
The median is 2.
----------------------------
To find the mean, we need to first add up all the data values.
1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56
Then divide this over n = 20 to get 56/20 = 2.8
The mean is 2.8
The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.
