A linear function adds the same number each time. It has a constant rate of change which means it adds or subtracts a certain amount at each step. An example of this would be the equation y = 3x + 2.
Explanation:The function described in the question which will add the same number each time is called a linear function. In mathematics, a linear function is a function that has a constant rate of change. This means that it adds or subtracts the same amount each time. For example, the equation y = 3x + 2 is a linear function. Every time you increase x by 1, y will increase by 3. Similarly, each time you decrease x by 1, y will decrease by 3. This is because the slope of a linear function is constant, indicating a consistent rate of change.
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Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?
Answer:
500 cm2
Step-by-step explanation:
The dimensions of the prism are 7 cm, 9 cm and 20 cm.
So the three areas we want to find are three rectangles, with the sides:
7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm
The area of each rectangle is:
rectangle_1 = 7 * 20 = 140 cm2
rectangle_2 = 9 * 20 = 180 cm2
rectangle_3 = 9 * 20 = 180 cm2
Summing all these three areas, we have:
Total area = 140 + 180 + 180 = 500 cm2
Answer:
500 Square Centimeters
AB=(8/-4). BC=(6/4)
a) express AC as a column vector
Answer a) AC = (?/?)
PLZ HELP ME ITS 5:00 AND ITS DUE AT 6:00 PLZ HELP
Answer:
your answer is d (-0.75, -1.0)
Answer:
(-.75, -1)
Step-by-step explanation:
Draw a line down from V and to the left from t and see where they meet
The x coordinate is the same for V and the Y coordinate is the same as T
(-.75, -1)
i need help please
Answer:
-6
Step-by-step explanation:
The y-int is the point where the line crosses the y axis
Going by intervals of 2, it crosses at -6
:)
13 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!
Answer: He is correct , equal to, equal to
Step-by-step explanation:
I think
Answer quick please.
5/2 = 2.5
4/16 = 0.25
2.5/0.25 = 10
Your answer would be 10
hope it helps!
Please help!!! Will give Brainly to the best answer!!!
if you ran a 26 mile marathon at an average speed of 10 mi/hr, how long would it take you to run the marathon?
The bar graph shows the number of students who earned each letter grade on a written report.Which statement about the graph is true?
It's probably A (I can't tell you for certain, because I can't see the image, but the other options seem illogical).
The bar graph presents the number of students who received each letter grade on a written report, enabling a clear comparison of quantities.
The statement about the graph that is true: The bar graph displays the number of students who earned each letter grade on a written report, making it suitable for comparing quantities. For example, the bar that represents the number of students who received an A appears to be shorter than the bar for students who received a C, indicating fewer students got an A.
A sample of bacteria was placed in a petri dish. The number of bacteria changes exponentially over time.
The graph describes the number of bacteria over time in hours).
Answer:
50
Step-by-step explanation:
Its initial size was 50, because that is the y-intercept. From 50, it increases, so it can't be anything above 50.
Answer:
Step-by-step explanation:50
The population of Portland Oregon has recently grown to more than 500,000. What is the order of magnitude for the number of people in Portland?
Answer:
Order is 6
Step-by-step explanation:
The population of Portland Oregon has recently grown to more than 500,000.
The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,
[tex]P=500,000[/tex]
It contains 6 zeroes. It means,
[tex]P=5\times 10^6[/tex]
So, the order of magnitude for the number of people in Portland is 6.
Below is the graph of a trigonometric función. It has a maximum point at (-pi, 6.8) and a minimum point at(pi,1.2)
What is the midline equation of the function?
Answer:
4
Step-by-step explanation:
trust me bro
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x-7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer:
f(x) = (x + 3)(x - 7)
A cone with radius
2
22 units is shown below. Its volume is
29
2929 cubic units.
Find the height of the cone.
Answer:
6.9
Step-by-step explanation:
What is the solution set for
X=-24 and x=-8
X=-24 and x = 24
X=-8 and X=8
X=-8 and x = 24
Answer:
i'm pretty sure it's B. X=-24 and x=24
Step-by-step explanation:
HA
Jin recorded the ages (in years) for a sample of 4 zebras from a wildlife preserve. Here are the ages:
2,9, 14, 15
The mean of these ages is 7 = 10 years.
What is the standard deviation?
Round your answer to two decimal places.
8,
years
Answer:
5.94
Step-by-step explanation:
Given the following information:
Ages of 4 zebras from a wildlife
2,9, 14, 15=> the sample mean of this date is
= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]
The standard deviation can be determined by using this formula:
[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]
<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]
Find the surface area of the following composite shape.
Answer:
130.3 ft²
Step-by-step explanation:
Surface area is the sum of areas of outer faces
2 rectangles + 2 triangles + curved surface area of the cylinder
2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4
48 + 30 + 25.12
103.12 ft²
How does the average rate of change for a square root function behave, for
intervals of fixed lengths over the domain, as the endpoints of the intervals
increase?
The average rate of change for a square root function decreases as we look at intervals of fixed lengths over the domain and the endpoints of those intervals increase. This is due to the property of the square root function where it's an increasing function but at a decreasing rate.
Explanation:The average rate of change of a function measures how the output (y-value) changes in comparison to the input (x-value). For a square root function like f(x) = √x, as we look at intervals of fixed lengths over the domain and as the endpoints of those intervals increase, the average rate of change decreases.
This happens because the slope of the tangent line to the function (which represents the rate of change) gets progressively less steep as x increases. Square root functions are increasing functions but at a decreasing rate. For example, the slope between the points (1,1) and (4,2) on the function f(x) = √x is 1/3, but between (4,2) and (9,3), it's 1/5, indicating a decrease in the rate of change.
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47 points!!!!!!
if one zero is irrational, the other zero is:
-ration
-irrational
-non real
Answer
non real
Step-by-step explanation:
Answer:
non real
Step-by-step explanation:
You spin the spinner, flip, a coin, then spin the spinner again. Find the probability of the compound event. The probability of spinning an odd number, not flipping heads, then not spinning six is?
Answer:
20/81.
Step-by-step explanation:
There are 5 odd numbers in 1 to 9 and 4 even ones.
Prob(Odd number on first spin) = 5/9
Prob(Not flipping heads on second) = 1/2
Prob(Not spinning a 6 on third ) = 8/9
The compound probability is found by multiplying the above ( because each trial is independent of the others):
Answer = 5/9 * 1/2 * 8/9
= 40/162
= 20/81.
mZRTU = 53
OmZQUR = 74
mZOST= 106
mZROS = 106
Answer:
Use a protractor
Step-by-step explanation:
Im still working on it give me a sec.
Someone answer ASAP please
Answer:
the answer is a
Step-by-step explanation:
distribute the minus sign on the second set of parenthesis and combine like terms
Angle A and Angle B are
supplementary. ', angle A is 37
degrees, what is the measure of
angle B?
Answer:
143°
Step-by-step explanation:
supplementary = add to 180°
180°-37°=143°
Hope this helps :)
Can you please help me solve
1/2(4a+8b+2)
Answer:
hey try photomath
Step-by-step explanation:
.
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(4a+2b+2)=\frac{1}{2}*2*(2a+b+1)\\\\=2a+b+1[/tex]
Can someone help me please
Answer:
x = 39
Step-by-step explanation:
To solve for x, we have to get it by itself in the equation.
In this problem, we have to do the opposite of subtraction and add 36 to the left and right side of the equation.
3 + 36 = x - 36 + 36
36 + 3 is equal to 39 and -36 + 36 cancels out.
This leaves us with 39 = x.
Help Plzzzz
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?
Answer:
3.6 cm
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)*h
We know the area of 4.5 and the top is 1 and the bottom is 1.5
4.5 = 1/2 (1+1.5) h
4.5 = 1/2 (2.5) h
4.5 =1.25h
Divide each side by 1.25
4.5/1.25 = 1.25h/1.25
3.6 =h
Answer:
[tex]3.6 \: \: cm[/tex]
Step-by-step explanation:
[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Someone help in math?
Answer:
10.44
Step-by-step explanation:
two coordinates are (1,-1) and (-9,-4)
use the distnce formula = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Factor the polynomial by it’s greatest common monomial factor.
12k^3 - 30k^4
Answer:
6k^3(2 - 5k)
Step-by-step explanation:
12k^3 - 30k^4
Factor out 6k^3
6k^3(2 - 5k)
Answer:
[tex]6k^3(2-5k)[/tex]
Step-by-step explanation:
Find the GCF, 6.
Factor out [tex]6k^3[/tex]:
[tex]12k^3-30k^4\\6k^3(2-5k)[/tex]
Finito.
Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of 11.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
980.6
Step-by-step explanation:
V=πr2h
3=π·11.12·7.6
3≈980.5916
Answer:
980.6 in³
Step-by-step explanation:
V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]
H=7.6 R=11.1
V=[tex]\frac{1}{3} \pi r^{2} h[/tex]
V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]
V=980.59159815
V=980.6 in³
idk if my answer is right pls help will give like and brainliest
Answer:
Yes that would be correct!
Step-by-step explanation:
You need 5a and 34 are needed in the equation and so is the x symbol
Answer:
Step-by-step explanation: