BRAINLIEST!!!
Given the two functions,
What is the rate of change of each function? (the graph & the equation)
g(x) = 4x - 2
Answers
Now looking at the graph, look at each point of the line that hits perfectly on a grid. Count up four, over two. The rate of change for the graph would be 4/2, or 2. Hope this helps!
Graph:
The rate of change is 2.
If we take the points (3,2) and (1, -2) and use slope triangles to find the slope, 4 ÷ 2 = 2, so the slope is 2.
Function:
The rate of change is 4.
The rage of change in a function in slope intercept form is always the number before x.
Hope this helps!
Related Questions
Mr. Macady has an old cylindrical grain silo on his farm that stands 25 feet high with a diameter of 10 feet. Mr. Macady is planning to tear down the old silo and replace it with a new and bigger one. The new cylindrical silo will stand 30 feet high and have a diameter of 15 feet.
A. What is the volume of the old silo
B. What is the volume of the new silo
C. How much greater is the volume of the new silo than the old silo
Answers
The volume is the space the silos hold.
Here are the answers:
A. 1962.5 square feet
B. 5298.74 square feet
C. 3335.25 square feet
The volume of the old silo is 1962.5 cubic feet, the volume of the new silo is 5298.75 cubic feet and about 3336.25 greater is the volume of the new silo than the old silo.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Mr. Macady has an old cylindrical grain silo on his farm that stands 25 feet high with a diameter of 10 feet.
h=25 feet and r =5 feet
Volume of cylinder = πr²h
=3.14×5²×25
=3.14×25×25
Volume =1962.5 cubic feet.
Now let us find the volume of new cylinder which has height 30 feet and diameter is 15 feet
Radius =15/2
r=7.5
Volume = 3.14× (7.5)² × 30
=3.14×56.25× 30
V=5298.75 cubic feet
Now let us find how much the new volume of silo is greater than old silo.
Difference = 5298.75 - 1962.5
=3336.25
Hence, the volume of the old silo is 1962.5 cubic feet, the volume of the new silo is 5298.75 cubic feet and about 3336.25 greater is the volume of the new silo than the old silo.
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ASAP
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
A. 264
B. 462
C. 528
D. 536
Answers
176+88= 263 Three weeks
264+88=352 Four weeks
352+88=440 Five weeks
440+88=528 Six weeks
The answer is C.
The number of wildflowers is doubling each week. Starting with 88 blooms in the first week and 176 in the second, the pattern suggests that there will be 2816 flowers after six weeks.
The student is asking about a pattern of growth in the population of wildflowers. The flowers began blooming with 88 blooms and by the second week, there were 176 flowers in bloom. This indicates that the number of flowers is doubling each week. To find the number of flowers after six weeks, we can establish a pattern of growth and calculate the number for the sixth week.
We can see that from week 1 to week 2, the blooms doubled (88 x 2 = 176). If this pattern continues, the blooms will double each week.
Let's calculate the number of blooms for each week up to six weeks:
Week 1: 88 flowers
Week 2: 176 flowers (88 x 2)
Week 3: 352 flowers (176 x 2)
Week 4: 704 flowers (352 x 2)
Week 5: 1408 flowers (704 x 2)
Week 6: 2816 flowers (1408 x 2)
need help for this problem
plz thxs
Answers
8/40 = 1/5
15/20 = 3/4
This would help :))
For the first one, 6 is in the new numerator. Let's divide this by the original numerator to see what they did.
30/6 = 5
So they divided the numerator by 5. To get an equivalent fraction, we must do the same to the denominator.
35/5 = 7
So our new equivalent fraction is 6/7.
For the second one, the new denominator is 5. Let's see what they did to get this.
40/5 = 8
So they divided the denominator by 8 to get 5, let's do the same to the numerator:
8/8=1
So we have 1/5.
For the last one, they have 4 in the new denominator. Let's see what they did to get this denominator:
20/4 = 5
So they divided the denominator by 5, let's do the same thing to the numerator:
15/5 = 3
So we have 3/4.
The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?
A (6, -1)
B (2, 8)
C (-5, 1)
D (1, 1)
Answers
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope = [tex] \frac{-1-5}{6--2} [/tex] = -0.75 ........> accepted choice
For point (2,8):
slope = [tex] \frac{8-5}{2--2} [/tex] = 0.75 ........> rejected choice
For point (-5,1):
slope = [tex] \frac{1-5}{-5--2} [/tex] = 4/3 ........> rejected choice
For point (1,1):
slope = [tex] \frac{1-5}{1--2} [/tex] = -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
What is -5/12 + (-1/4) + 3/12
Answers
A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.
Answers
The height of the bookcase is x=2
The width of the bookcase is x+2=2+24 feet
Height and width are 2 feet, 4 feet
Answer:
Height and width are 2 feet, 4 feet
Step-by-step explanation:
Penelope made a paper chain that was 6 feet, 10 inches long. Anastasia made a paper chain that as 7 feet, 18 inches. If they linked their paper chains together, what would be the combined length? A) 13 feet, 11 inches b) 15 feet, 4 inches c) 19 feet, o inches d) 37 feet, 4 inches
Answers
The answer is B, as they both add up to 15 feet and 4 inches
Evaluate 3+11t-9u
t=9
u=11
Answers
because 3+11(9)-9(11)
3+99-99
3+0 or 102-99
equals 3
Answer:
3
Step-by-step explanation:
Let's substitute t = 9 and u = 11 into the expression.
3+11t−9u
=3+11(9)−9(11)
=3+99-99=3+99−99
=3
SOMEONE EXPLAIN HOW TO DO THIS???
Answers
(total bill) = tax + (charge before tax)
or
(charge before tax) = (total bill) - tax
Then
(total bill) = (tax rate)*(charge before tax) +(charge before tax)
(total bill) = (charge before tax)*(1 +(tax rate))
(total bill) = ((total bill) -tax)*(1 + (tax rate))
Solving for tax rate, we get
.. (tax rate) = (total bill)/((total bill) - tax) -1
.. tax rate = (24.50)/((24.50) -1.50) -1
.. = 24.50/23.00 -1
.. ≈ 0.065217
.. = 6.5217%
The tax rate is about 6.5%.
a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.10. Write an equation to determine how many minutes he must have used during the month.
Answers
Cost of minutes used = $0.45 after 700 minutes
Total cost = $48.10
Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)
------------------------------------------------------------------
Form the equation and solve x
------------------------------------------------------------------
40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718
------------------------------------------------------------------
Answer: John had used 718 mins this month
------------------------------------------------------------------
What’s the height of the brace
Answers
When you see two triangles, you can guess we’re going to deal with proportions. I’m going to set up a proportion between the long side of the big triangle and the long side of the little triangle
15/7
Ok...we’re making progress. We can make another proportion with height h and the “height” of the big triangle, 9
9/h
Since both of these are proportions, we can set them equal to each other
(9/h) = (15/7)
Cross multiply...
63 = 15h
h = 4.2 ft
given the geometric sequence with the first three terms shown as (2,10,50..) answer the following questions:
Write a recursive definition for the sequence
What is the 10th term of the sequence?
Answers
[tex]\bf a_n = 2(5)^{n-1}[/tex]
The 10th term is:
[tex]a_{10} = 2(5)^{10-1}[/tex]
[tex]a_{10} = 2(5)^9[/tex]
[tex]\bf a_{10} = 3906250[/tex]
Final answer:
The recursive definition for the given geometric sequence is an = 5an-1, with a1 = 2. Using the geometric formula to find the 10th term, we calculate the 10th term to be 3906250.
Explanation:
The given sequence is a geometric sequence, in which each term after the first is found by multiplying the previous term by a constant ratio. In this case, the ratio is obtained by dividing the second term by the first term. Therefore, the recursive formula for the given geometric sequence is an = 5 × an-1, with the first term a1 = 2.
To find the 10th term of the sequence, we use the formula: an = a1 × r(n-1), where r is the common ratio and n is the term number. Substituting the given values we get a10 = 2 × 5(10-1) = 2 × 59.
Calculating this we find that the 10th term of the sequence is 2 × 1953125 = 3906250.
By using double inequality describe all the numbers that are:
a) greater than (−8) but less than (−2)
b) less than 0, but greater than (−5)
c) greater than (−3), but less than 3
First one to answer correctly gets brainliest answer
Answers
a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]
To describe each set of numbers using double inequalities, we'll define the range of numbers that satisfy each condition.
a) For numbers greater than -8 but less than -2:
[tex]\[ -8 < x < -2 \][/tex]
This double inequality represents all numbers that are greater than -8 on the number line and less than -2, but not including -2 itself.
b) For numbers less than 0 but greater than -5:
[tex]\[ -5 < x < 0 \][/tex]
This double inequality represents all numbers that are less than 0 on the number line and greater than -5, but not including 0 itself.
c) For numbers greater than -3 but less than 3:
[tex]\[ -3 < x < 3 \][/tex]
This double inequality represents all numbers that are greater than -3 on the number line and less than 3, but not including 3 itself.
In summary:
a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]
NEED HELP!!!!!!
For the following geometric sequence find the recursive formula and the 6th term in the sequence.
{36, 12, 4, ...}
Answers
2nd term = 12
3rd term = 4
recursive formula
q = 12/36 = 1/3
If you use this formula and continue going down, you'll eventually find that the 6th term will be 4/27.
Hope that helps!
The 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series.
The 6th term of the series is calculated as:-
1st term = 36
2nd term = 12
3rd term = 4
The recursive formula is,
q = 12/36 = 1/3
The 6th term is,
[tex]a_n = a_1( r )^{n-1}[/tex]
[tex]a_6=36 ( \dfrac{1}{3})^5=\dfrac{4}{27}[/tex]
Therefore, the 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
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find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
Answers
Hope this helps
Height: h=12.6 inches
Major base: B=29.2 inches
Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2
Answer: The area of the trapezoid is 303.66 square inches
Which of these is a symptom of nicotine?
A) Slowed heartbeat
B) Decreased blood pressure
C) Increase oxygen supply to the brain
D) Increase dizziness
Answers
A known symptom of nicotine is that it leads to a person having B. Decreased blood pressure
Nicotine is available in cigarettes and is responsible for the addiction that people feel to cigarettes. It has various health effects such as:
Causing loss of appetite Increasing one's risk of brain damage and heart attacks.As a result of it causing a loss of appetite, the person will lose weight and will be unable to produce much blood which would lead to reduced blood pressure.
In conclusion, nicotine can lead to decreased blood pressure.
Find out more at https://brainly.com/question/11174442.
Complete the rectangle above. What are the coordinates of the missing vertex?
Select one:
A. (7, 3)
B. (7, 4)
C. (6, 3)
D. (3, 7)
Answers
Go over 7 (first), and then go up 3 (second) to plot the last point.
What is the base 10 representation of the number 1100110
Answers
Answer:
102
Step-by-step explanation:
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer for Blank 1:
Answers
53 ÷ 5 x 2
10.6 x 2
21.2
Hope this helped!
let me know if I was wrong.
Answer: 21.2
hope this helped
A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male?[Round the answer to the nearest tenth of a percent. PLS HURRY LOTS OF POINTS NO GUESSING BRAINLIEST TO!!!!
A) 47.0%
B) 47.8%
C) 53.1%
D) 54.1%
Blood Type Male Female
A 105 93
B 99 84
O 160 140
AB 15 18
Answers
Answer:
if you want to know how many males, you have to add all the numbers up :
105 + 93 + 99 + 84 + 160 + 140 + 15 + 18 = 714
and then you divide 714 by all the male numbers 105 + 99 + 160 + 15 = 379
714/379 = 53.08 %
~batmans wife dun dun dun....
If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?
Answers
The standard form equation of the circle with endpoints (-10, -8) and (-6, -2) is (x + 8)^2 + (y + 5)^2 = 13.
Explanation:To find the standard form equation of a circle, we need to find the center and the radius. Since the endpoints of the diameter are given, we can find the center by finding the midpoint of the diameter. The x-coordinate of the center is the average of the x-coordinates of the endpoints, and the y-coordinate of the center is the average of the y-coordinates of the endpoints. The radius is half the length of the diameter. Once we have the center and radius, we can plug them into the standard form equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
Step 1: Find the midpoint of the diameter using the formula:
(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
(x, y) = ((-10 + -6) / 2, (-8 + -2) / 2) = (-16 / 2, -10 / 2) = (-8, -5)
Step 2: Find the radius by halving the length of the diameter:
Length of the diameter = √((x2 - x1)^2 + (y2 - y1)^2) = √((-6 - -10)^2 + (-2 - -8)^2) = √(16 + 36) = √(52)
Radius = √(52) / 2 = √(13)
Step 3: Plug the center and radius into the standard form equation of a circle:
(x + 8)^2 + (y + 5)^2 = 13
how do i approximate each square root to the nearest tenth
Answers
11.4
6.
15.9
7.
14.4
Which of the following are monomials?
Check all that apply.
A. x - y
B. 9x
C. 24 + 2x2
D. 2x + 12
E. x20
F. 13
Answers
A monomial has only one term
Write the equation of a cosine function with the following properties
Answers
Let it's general format be -
[tex]f(x) = a \: cos \: b(x - c) + d \\ [/tex]
Having frequency as -
[tex]f = \frac{b}{2\pi} [/tex]
According to provided data -
amplitude : 3
Hence , a = 3
[tex]frequency = \frac{1}{2\pi} [/tex]
Hence b = 1
Phase Shift to the left of 2 : c = -2 [ left to the y-axis ]
Midline of y = 4
Hence d = 4
Now finally substituting every value obtained -
The equation of Cos function is -
[tex]y = 3cos1(x - 2) + 4[/tex]
For the level 3 course, exam hours cost twice as much as workshop hours, workshop hours cost twice as much as lecture hours. How much are lectures per hour?
Answers
Cost of lectures = $7.33 per hour
ExplanationLet [tex]e[/tex] the cost of the exam hours
Let [tex]w[/tex] be the cost of the workshop hours
Let [tex]l[/tex] be the cost of the lecture hours.
We know from our problem that exam hours cost twice as much as workshop, so:
[tex]e=2w[/tex] equation (1)
We also know that workshop hours cost twice as much as lecture hours, so:
[tex]w=2l[/tex] equation (2)
Finally, we also know that 3hr exams 24hr workshops and 12hr lectures cost $528, so:
[tex]3e+24w+12l=528[/tex] equation (1)
Now, lets find the value of [tex]l[/tex]:
Step 1. Solve for [tex]l[/tex] in equation (3)
[tex]3e+24w+12l=528[/tex]
[tex]12l=528-3e-24w[/tex] equation (4)
Step 2. Replace equation (1) in equation (4) and simplify
[tex]12l=528-3e-24w[/tex]
[tex]12l=528-3(2w)-24w[/tex]
[tex]12l=528-6w-24w[/tex]
[tex]12l=528-30w[/tex] equation (5)
Step 3. Replace equation (2) in equation (5) and solve for [tex]l[/tex]
[tex]12l=528-30w[/tex]
[tex]12l=528-30(2l)[/tex]
[tex]12l=528-60l[/tex]
[tex]72l=528[/tex]
[tex]l=\frac{528}{72}[/tex]
[tex]l=\frac{22}{3}[/tex]
[tex]l=7.33[/tex]
Cost of lectures = $7.33 per hour
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Answers
I hope this helps!
20x+13=53
solve for x, right?? Help??
Answers
20x=40
20x/20=40/20
x=2
Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wants the number of pencils to be greater than or equal to the square of 3 less than the number of pens. Create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.
Answers
The correct answer is 58 viable solutions.
To model the given situation, we need to define variables, create inequalities, and then solve the system of inequalities.
Let x = the number of pens, and y = the number of pencils.
Given information:
- The total number of writing utensils must be less than or equal to 25.
- The number of pencils must be greater than or equal to the square of (3 less than the number of pens).
Step 1: Create the first inequality for the total number of writing utensils.
x + y ≤ 25
Step 2: Create the second inequality for the condition on the number of pencils.
y ≥ (x - 3)^2
Step 3: Solve the system of inequalities.
We can substitute different values of x into the second inequality to find the corresponding values of y.
For x = 1, y ≥ (-2)^2 = 4
For x = 2, y ≥ (-1)^2 = 1
For x = 3, y ≥ 0^2 = 0
For x = 4, y ≥ 1^2 = 1
For x = 5, y ≥ 2^2 = 4
...
Substituting these values into the first inequality, we get:
1 + y ≤ 25 (y ≥ 4)
2 + y ≤ 25 (y ≥ 1)
3 + y ≤ 25 (y ≥ 0)
4 + y ≤ 25 (y ≥ 1)
5 + y ≤ 25 (y ≥ 4)
...
Therefore, the viable solutions are:
(x, y) = (3, 0), (3, 1), (3, 2), ..., (3, 22)
(x, y) = (4, 1), (4, 2), ..., (4, 21)
(x, y) = (5, 4), (5, 5), ..., (5, 20)
There are a total of 22 + 20 + 16 = 58 viable solutions.
Which modified box plot represents the data set?
10,12,2,4,24,2,7,7,9
Answers
Answer with explanation:
The Data Set is→ 10,12,2,4,24,2,7,7,9
Arranging the data in ascending order
2,2,4, 7,7,9,10, 12, 24
Number of observation is odd,
So, Median
[tex]\frac{9+1}{2}=5^{th} Observation[/tex]
5th Observation = 7
[tex]Q_{1}[/tex]
=First Quartile of data set that is from first variate to Median value
={2,2,4,7,7}
So, [tex]Q_{1}=4[/tex]
[tex]Q_{3}[/tex]
=Third Quartile of data set that is from last variate to Median value
={7,9,10,12,24}
So, [tex]Q_{3}=10[/tex]
Minimum value in data set = 2
Maximum value in data set = 24
Plotting the Box plot
Option C , is correct Box plot.
Answer: The answer is C
Step-by-step explanation:
30% of the employees at a company picnic ate a hot dog for lunch. If 18 employees ate a hotdog, how many people were at the picnic?
A) 20
B) 30
C) 60
D) 90
Answers
60•30%=18
3%=0.3
0.3*60=18.
Hope this helped☺☺