If limit as x approaches a of f of x equals two and limit as x approaches a of g of x equals four, then limit as x approaches a of the quantity three times f of x squared minus four times g of x equals negative four.
TRUE
FALSE
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Related Questions
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
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Find the sale price of each item. Round to two decimal places when necessary.
Original price: $45.00; Markdown: 22%
$____________________________________
PLEASE HELP !!!
Answers
$35.10 i think
step-by-step:
45 x .22
Eighth grade A.2 Divisibility rules VW5
You have prizes to rev
There are 86,784 fish in a hatchery, which are divided evenly among the ponds. How many
ponds could there be at the hatchery?
Select all the possible numbers.
3
6
4
2
Submit
Type here to search
OC
,C
Answers
Answer:
3, 6, 4, 2
Step-by-step explanation:
The factors of 86784 are :
1 * 86784
2 * 43392
3 * 28928
4 * 21696
6* 14464
Polly, Julie, Danielle, and Bella are on a team for a 2-mile relay race. Each person runs the same distance.
How far does each person run?
Please write your answer as a proper fraction or mixed number.
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Answer:
Each person runs 0.5 miles
Step-by-step explanation:
2 divided by 4 is 0.5
What is the GCF of 35+42
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I hope it helps
Could someone please help me on this question? I need help!!
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Answer:
Step-by-step explanation:
do you think you could take a closer up one then I will help you.
What is the area of this triangle in the coordinate plane?
Answers
Answer:
6 units
Step-by-step explanation:
Step-by-step explanation:
area of triangle = 1/2 × 4 × 3 = 6 units .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
Evelyn deposited $23,750 in a savings account that earns 5.3% simple interest. Evelyn has not made any deposits or withdrawals since she opened the account. Approximately how many years have passed since Evelyn opened the account if her latest balance is $28,785?
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Which statement correctly identifies the line of reflection?
O The triangles are reflected across the x-axis.
O The triangles are reflected across the y-axis.
O The triangles are reflected across the line y = x
O The triangles are reflected across the line y = -x
Answers
Answer:
D
Step-by-step explanation:
The black triangle is on -1, 1.
The red triangle is on 1, -1. The axles have flipped.
Answer:
A. The triangles are reflected across the line y = -x
Step-by-step explanation:
Hope you have a great day :)
Question is there ⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answers
Answer:
4.9
Step-by-step explanation:
for this I used the sine rule so I did 6/sin 70 × sin 50
Please help me out..... needed in 30 mins
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Interest = Principal x Rate x Time
Plugging in the given values, we get:
Interest = $1,500 x 0.04 x 3 = $180
So Account A earns $180 in interest over three years.
Similarly, we can find the interest earned by Account B using the same formula:
Interest = Principal x Rate x Time
Plugging in the given values, we get:
Interest = $1,500 x 0.06 x (21/12) = $157.50
So Account B earns $157.50 in interest over 21 months.
To compare the interest earned by the two accounts, we can see that Account A earns more interest than Account B, even though the interest rate is lower. This is because the time period is longer for Account A, giving the interest more time to accrue.
Example 1: Two principal amounts and two simple interest rates that would earn equal amounts of interest in one year are:
Principal 1 = $1,000
Rate 1 = 5%
Interest 1 = $50
Principal 2 = $2,000
Rate 2 = 2.5%
Interest 2 = $50
Example 2: Two principal amounts and two periods of time for which the simple interest earned at 2.59% would be equal are:
Principal 1 = $500
Time 1 = 4 years
Interest 1 = $51.80
Principal 2 = $1,000
Time 2 = 2 years
Interest 2 = $51.80
this should be easy but please tell me how to do this stuff:
The figure shown is composed of 4 identical cubes.
Find the surface area.
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Step-by-step explanation:
I don't know if it's correct but simply just find the area of 1 cube (6×6) and then muktiply it by 4
Step-by-step explanation:
6x6 then multiply with 18
ASAP PLS I NEED IT AND TY
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When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
Please help, screenshot!
Answers
Answer:
4/7
Step-by-step explanation:
class total = 21
chance of picking one of 12 boys out of 21.
12/21 which can be simpilfied to 4/7
9 girls + 12 boys = 21
Boys/total = 12/21
12/21 divided by 3 = 4/7
James used substitution to solve this system of equations. Which could be the result of his first step
2x+3y=12
y=x+1.5
A..y=2x+3y+1.5
B.2x+3(x+1.5)=12
C.2x+3x+1.5=12
D.y=2x+3y
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Need answer as fraction or however it is, need asap
Answers
Answer: 1 byte45 or 1^45
Step-by-step explanation:
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
A 64-ounce container of sports juice cost $6.50. A 48-ounce container of the same juice costs $4.25. Which size container is the better buy?
Answers
Answer:A 48-ounce juice container
Step-by-step explanation:
64 and 48 are almost the same and 2 more dollars is too much.
Answer:
The 48 oz container is a better buy.
Step-by-step explanation:
6.50/64 = 0.1015625
4.25/48 = 0.08854166666
The 64 oz container costs approx $0.10 per ounce. The 48 oz container costs $0.09 per ounce. The 48 oz container is a better buy because it costs less per ounce.
\(\frac{k}{-3}\) + 3+-2 a two step equation
Answers
Answer:A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true. Example 1 We're given an equation and asked to solve for x x: 3 x + 2 = 14 3x + 2 = 14 We need to manipulate the equation to get x x by itself.
Step-by-step explanation: i took the test and got it right
What is x if p=34 and h=12 Solve for each of the problems and explain how you got...
now that this question appears innocent who wanna be my friend? :)
Answers
Answer:i d k the answer but I wanna say 46 and they deleted my question
Step-by-step explanation:
What is the volume of the figure composed of two congruent triangular prisms if a = 4 units, b = 2 units, and c = 6 units?
Write your answer as cubic units, e.g. 20 cubic units
Answers
Answer:
Step-by-step explanation:
3x with 2 power
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answers
Answer:
253 square inches
Step-by-step explanation:
calculate the surface for each side and then add
Use the graph to determine the percent of change in CD sales from 2011 to 2012
Answers
Answer:
u will get the change then divide it by the total then multiply by 100
Step-by-step explanation:
The weight of Micheal's and Brittney's new puppies are shown in the table and graph. Whose dog gains more weight more quickly? Explain.
Answers
Answer:
Brittney's Puppy
Step-by-step explanation:
Michael's puppy gains 8.6 pounds in 1 month while Brittney's puppy gains 155 ounces in 1 month
Rate of increase in weight of Micheal's puppy is less than Rate of increase in weight of Brittney's, Brittney's puppy gains weight more quickly.
What is rate of change?Rate of change is the measure of how one quantity changes in respect to change in another quantity .
let when a quantity x changes from x₁ to x₂ then the quantity y changes with respect to x from y₁ to y₂
The Rate of Change of y w. r. t. x = ( y₂ - y₁ )/ ( x₂ - x₁)
For Micheal's puppy
Rate of change in weight when age is increased from 1 to 2 months = (17.2-8.6)/(2-1)=8.6 pounds per month
Rate of change in weight when age is increased from 2 to 3 months = (25.8-17.2)/(3-2)=8.6 pounds per month
∴ Rate of increase in weight of Micheal's puppy with age is 8.6 pounds per month
For Brittney's puppy
From graph it can be seen than
At age = 1 month , weight = 155 ounces = 9.6875 pounds
At age = 2 month , weight = 310 ounces = 19.375 pounds
At age = 3 month , weight = 465 ounces = 29.0625 pounds
Rate of change in weight when age is increased from 1 to 2 months = (19.375-9.6875)/(2-1)= 9.6875 pounds per month
Rate of change in weight when age is increased from 2 to 3 months = (29.0625-19.375)/(3-2)=9.6875 pounds per month
∴ Rate of increase in weight of Brittney's puppy with age is 9.6875 pounds per month
Thus rate of increase of weight is more for Brittney's puppy.
Therefore, Brittney's puppy gains more quickly weight.
Also, learn more about rate of change from the link below:
https://brainly.com/question/12786410
#SPJ2
A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student’s work correct?
one-third more than the product of four and a number; evaluate when g = one-fourth
The expression is StartFraction 4 Over g EndFraction + one-third; for g = one-fourth. StartFraction 4 Over 1 EndFraction divided by one-fourth + one-third = StartFraction 4 Over 1 EndFraction times StartFraction 4 Over 1 EndFraction + one-third = 16 + one-third = 16 and one-third.
Yes, the student’s work is correct.
No, the student divided the fraction incorrectly
No, the student made an error when substituting.
No, product means multiplication, and the student wrote a division expression.
Answers
divide negative 6 and 2 over 5 ÷ negative 4 and 3 over 7
Answers
Step-by-step explanation:
-6÷-2/5-4-3/7
i Don't understand
Answer:224/155
Step-by-step explanation: when i did the math i had got this and when i put it as my answer it was right hope this helped u.:)
help me please right answer
Calculate the surface area of the following figure.
Answers
Answer: 400 cm^2
Step-by-step explanation:
The surface area can be calculated by measuring the areas of each side and adding them together.
The area of the triangle closest to the viewer can be calculated with the formula (l*w)(1/2). In this case, it is (15*8)(1/2). 15*8 equals 120, which is then multiplied by (1/2), which will give an answer of 60. The same equation can be given for the farthest triangle.
We will then calculate the area for the left side. The formula to calculate a rectangle is simply l*w. In this case, it would be 15*7, which equals 105.
Next, we will calculate the base using the same formula. In this case, it would be 8*7, which equals 56.
Then, we will calculate the final side, using the same formula. In this case, it would be 7*17, which equals 119.
Finally, we will add each of the areas to get the surface area. in this case, it would be 60+60+105+56+119, which equals 400.
Always remember to add the unit after the sum. In this case, it would be cm^2. This makes the answer 400cm^2
Trick question what is 1+(6+8)×3? Did you get it correct?
(A) 25
(B) 24
(C) 23
(D) 10
The answer is...
Guess! lol
Answers
Graph the equation y= -x^2 +10x-21 on the accompanying set of axes. You must plot 5 points including the roots and vertex. Using the graph, determine the vertex of the parabola
Answers
Answer:
The properties of the parabola equation are
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)
What are parabola equations?
Parabola equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to plot the graph of the parabola?
The equation is given as
y = x^2 + 10x + 21
Next, we plot the graph on the coordinate plane
On the graph, we can see the following properties
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)
Step-by-step explanation:
https://brainly.com/question/28729977
Answer:
Step-by-step explanation:
Vertex = (-5, -4)
Roots = (-7, 0) and (-3, 0)
Points = (-2, 5) and (-4, -3)