Answers
Answer:
-3/2
Step-by-step explanation:
The average rate of change is synonymous to the slope.
So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.
At x=-2, we can see that y is 4. Thus, we have (-2,4).
At x=2, we can see that y is -2. Thus, we have (2,-2).
Now, use the slope formula. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:
[tex]m=\frac{-2-4}{2--2}[/tex]
Simplify:
[tex]m=\frac{-6}{4}[/tex]
Reduce:
[tex]m=-3/2[/tex]
So, our average rate of change from the interval x=-2 to x=2 is -3/2.
Related Questions
12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?
A The sum of the exterior angles of a square is greater.
B The sum of the exterior angles of a pentagon is greater.
C The two sums are equal.
D There is not enough information to compare the two sums.
Answers
Answer:
Option C.
The two sums are equal.
Step-by-step explanation:
In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.
This means that the sum of the exterior angles of a square is equal to that of the pentagon.
As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees
What is the half of 21 in a radius
Answers
Answer:
Half of 21 in a radius is 10.5.
Answer:
21/2=10.5
Step-by-step explanation:
21/2
Round 72895.4177829 to the nearest ten.
Answers
The resulting number is 72895.5.
To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.
Step 1 - Truncate digits less that a tenth:
[tex]x = 72895.4[/tex]
Step 2 - Ascend the tenth digit to its next one:
[tex]x = 72895.5[/tex]
We kindly invite to see this question related to rounding: https://brainly.com/question/2323275
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed use inf or -inf Format like this: D: (0,1000) R: (-inf,1000) **note the spaces after and after domain, but no spaces inside intervals.
Answers
Answer:
DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]
RANGE: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.
DOMAIN:
From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.
However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.
So, our domain is all values greater than or less than 1, and all values greater than 2.
In interval notation, this is:
[tex](-\infty,1]\cup(2,\infty)[/tex]
We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.
RANGE:
Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.
Our range is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
can you please help
Answers
Answer: 3x -4
Step-by-step explanation:
10 + 2x + 6x = 26 I need help with that pls :)
Answers
Answer:
x=2 is the answer.
Step-by-step explanation:
10+2x+6x=26
10+8x=26
Subtracting 10 on both sides to find out the value of x
10-10+8x=26-10
8x=16
Dividing 8 on both sides
8x/8=16/8
x=2
Hope it will help ^_^
Answer:
x =2Step-by-step explanation: I hope it helps :)
[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]
Clara wants to paint her bedroom skyblue ,so she mixes blue and white paint.Then she decided to mix paint for her living room.To make sure she has enough paint for the larger room,Ciara plans to use double the amount of white paint and double the amount of blue paint.Which room would be the lighter shade
Answers
Answer:
the living room
Step-by-step explanation:
Match the verbal expression to its correct algebraic expression. Five more than the square of a number Five more than twice a number Five less than the product of 3 and a number Five less the product of 3 and a number Twice the sum of a number and 5 The sum of twice a number and 5 The product of the cube of a number and 5 The cube of the product of 5 and a number.
Answers
Answer:
[tex]x^{2}[/tex]+5
2x+5
3x-5
2(n+5)
3([tex]x^{3}[/tex]+5)
5x(x^3)
Step-by-step explanation:
In the ordered pair 7 and 12, 12 is the y-coordinate or x-coordinate
Answers
Answer:
y-coordinate
Step-by-step explanation:
Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.
(7,12) means 7 is x-coordinate and 12 is y-coordinate
Describe the relationship between the angles!! HELP ME PLZ
Answers
Answer:
1. alternate exterior angles
2. co-interior angles
3. corresponding angles
4. alternate interior angles
5. corresponding angles
6. co-interior angles
Which equation shows that z is directly proportion to the cube of x and inversely
proportional to the square of y?
Answers
Answer:
z = [tex]\frac{kx^3}{y^2}[/tex]
Step-by-step explanation:
Given that z is directly proportional to x³ and inversely proportional to y²
Then the equation relating them is
z = [tex]\frac{kx^3}{y^2}[/tex] ← k is the constant of proportionality
Find the coordinates of the midpoint of the segment with the endpoints
C(3,5) and D (9,5)
Answers
Answer:
(6,5)
Step-by-step explanation:
Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])
([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])
=(6,5)
if 225.00 yields 27.00 in x years as simple interest at the rate of 4% per annum find x
Answers
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]
ram salary is 1500 which is new salary after an increment of 10%.find his basic salary?
Answers
Answer:
1363.6
Step-by-step explanation:
let the basic salary be = x
10% of x = 10/100x
So the equation = x + 10/100x = 1500
= x + 0.1x = 1500
= 1.1x = 1500
= x = 1500/1.1
= x = 1363.6
If the volume of a cube is 125 cubic meters, what is the length of each arm?
Translated in Bengali
একটি ঘনকের আয়তন ১২৫ ঘন মিটার হলে , এর প্রতি বাহর দৈর্ঘ্য কত?
Answers
Answer:
5 metres.
Step-by-step explanation:
The volume is the length of each edge cubed,
so x^3 = 125 where x is that length.
x = ∛125
= 5.
Answer:
5
Step-by-step explanation:
Which transformation describes the photograph? Select all that apply. The panels on the right side are a translation of those on the left side. The panels on the right side are a rotation of the those on the left side. The panels on the left side left side are a dilation of those on the right side. The top is a reflection of the bottom. The left side is a reflection of the right side.
Answers
Answer:
The left side is a reflection of the right side
Step-by-step explanation:
The photo has a vertical line of symmetry down the middle. There are no other points or lines of symmetry. The left side is a reflection of the right side.
solve for x by first setting up two equations. Then find the PRODUCT of your solutions |2x+5|=7
Answers
Answer: see below
Step-by-step explanation:
|2x+5|=7
2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative
2x+5=7 or 2x+5=-7
2x=2 2x=-12
x=1 or x=-6
----------------------------------------
The product of the two solutions
1 × -6=-6
Hope this helps!! :)
Please let me know if you have any question
Answer: 2x−5=7 and 2x−5=−7
Expand (a+b)3 in descending powers of a
Answers
==================================================
Explanation:
The coefficients of each term, from left to right are 1, 3, 3, 1
These coefficient values are found in Pascal's triangle in the third row.
The variable terms will have variable terms in the form a^m*b^n. To start off, m = 3 and n = 0 to get a^3*b^0 = a^3*1 = a^3. From there you will have m count down (3,2,1,0) and n will count up (0,1,2,3)
So for the second term we have m = 2 and n = 1 to get the variable term a^2*b^1 = a^2b
The third term has m = 1 and n = 2 to get the variable term a^1*b^2 = ab^2
Finally the last term has m = 0 and n = 3 to get a^0*b^3 = 1*b^3 = b^3
Those variable terms are them multiplied with the coefficients mentioned previously to get the final answer.
--------------------------
Another way you can do this problem is to use the distributive property and FOIL rule
(a+b)^3 = (a+b)(a+b)^2
(a+b)^3 = (a+b)(a^2+2ab+b^2) .... FOIL rule
(a+b)^3 = a(a^2+2ab+b^2) + b(a^2+2ab+b^2) ... distribute
(a+b)^3 = a*a^2+a*2ab+a*b^2 + b*a^2+b*2ab+b*b^2 ... distribute again
(a+b)^3 = a^3 + 2a^2b + ab^2 + a^2b + 2ab^2 + b^3
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Which value is a solution of the equation x2 (squared) = 49?
X = 98
X = 2,401
X = 24.5
X = 7
Answers
Answer:
24.5
Step-by-step explanation:
If you multiply 2 and 24.5 together you would get 49
The value of the solution to the given equation is 7, which is the correct answer that would be option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The equation is given in the question following as:
x² = 49
We have to determine the value of the solution to the given equation
As per the given question, we have
⇒ x² = 49
⇒ x² - 49 = 0
⇒ x² - 7² = 0
We know that the formula as, a² - b² = (a + b)(a - b)
Here a = x and b = 7, and we get
⇒ (x + 7)(x - 7) = 0
⇒ x + 7 = 0 and x - 7 = 0
⇒ x = - 7 = 0 and x = 7
Thus, the value of the solution to the given equation is 7,
Hence, the correct answer would be an option (D).
Learn more about the equation here:
brainly.com/question/10413253
#SPJ5
the diagram shows a triangle. work out the area of the triangle.
Answers
Answer:
30cm^2
Step-by-step explanation:
area of triangle = bxh/2
12x5=60/2=30cm^2
Answer:
My answer is 30.
Step-by-step explanation:
Area of a triangle is 1/2×b×h or b×h/2.
The base in the diagram is 12 and the height is 5. then 12×5=60 then 60÷2=30....Thank you for the question....
2 x (16+ [1 +9+(5-2)]? – 3] – 22
Answers
Step-by-step explanation:
2 x (16 + (10 + 3) - 3) - 22
2 x (16 + 13 - 3) - 22
2 x 26 - 22
2 x 4
= 8
13 inches Find the surface chea of a rectangular prism with a height of 6 inches a width of 7 inches, and a length of 13 inches.
Answers
Answer:
422 Square Inches
Step-by-step explanation:
6x7=42
7x13=91
6x13=78
(2)42+(2)91+(2)78=422
You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length
please help! answer and explanation please!
Answers
Answer:
2.15d+3.12 = 11.72
Step-by-step explanation:
The total cost is found by adding the costs of the donuts and the cost of the drink
The donuts cost 2.15 per donut = 2.15d
The drink is 3.12
She spent 11.72
2.15d+3.12 = 11.72
Answer: 4 dounts
Step-by-step explanation:
2.15d + 3.12 = 11.72
- 3.12 -3.12
2.15d = 8.6
8.6/2.15 = 4
That's how you get 4 donuts. Please mark brainliest.
What is the slope m of a line that is perpendicular to the line represented by x = 8? (If an answer is undefined, enter UNDEFINED.)
Answers
Answer:
slope = 0
Step-by-step explanation:
x = 8 is a vertical line parallel to the y- axis
A line perpendicular to it is a horizontal line parallel to the x- axis.
The x- axis has a slope of zero thus the line perpendicular to x = 8 is zero
The slope of a line is simply the ratio of a change in the vertical axis to the horizontal axis. The line perpendicular to [tex]x = 8[/tex] has a slope of 0
Given that
[tex]x = 8[/tex]
See attachment for the line of [tex]x = 8[/tex]
First, we determine the slope of [tex]x = 8[/tex]
The slope of a line (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]x = 8[/tex] means that, the value of x is always 8; irrespective of the y-value.
So:
[tex]x_2 = x_1 = 8[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{y_2 - y_1}{8-8}[/tex]
[tex]m = \frac{y_2 - y_1}{0}[/tex]
Assume the slope of the line perpendicular to [tex]x = 8[/tex] is [tex]m_2[/tex].
[tex]m_2[/tex] is calculated as follows:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute [tex]m = \frac{y_2 - y_1}{0}[/tex]
[tex]m_2 = -\frac{1}{(y_2 - y_1)/0}[/tex]
This gives
[tex]m_2 = -\frac{1\times 0}{y_2 - y_1}[/tex]
[tex]m_2 = -\frac{0}{y_2 - y_1}[/tex]
[tex]m_2 = -0[/tex]
[tex]m_2 = 0[/tex]
The slope of the line perpendicular to [tex]x = 8[/tex] is 0.
Read more about slopes at
https://brainly.com/question/3605446
Please help me!! the pic with the graph is the question & the other 2 pics are the numbers given to me!! pls help
Answers
This question was answered earlier at this link below
https://brainly.com/question/17274617
Let me know if you have any questions about any of the steps.
Given m∠JML = 80 and m∠KML = 33, what is m∠JMK
Answers
Answer:
47°Step-by-step explanation:
Given m∠JML = 80 and m∠KML = 33, to calculate the value of angle m∠JMK, we will apply the formula since all the angles are all acting at point M.
m∠JML = m∠JMK+m∠KML
Substituting the values given into the equation;
80 = m∠JMK + 33
subtract 33 from both sides of the equation
m∠JMK = 80-33
m∠JMK = 47°
Hence the value of angle m∠JMK is 47°
The two rectangles shown below are similar.
Answers
19) If x an y are odd numbers which of the following is even?
a)(X+y)/3
b) (x+y) x^y
c) x^y
d)x^y/2
Answers
Answer:
(x+y)x^y
Step-by-step explanation:
i hope it helped you. thankyou
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
Answers
the Function h(x)=2(x+3)/x is a result of the composition. If g(x)=2/x, what is f(x)
Answers
Answer:
its b
Step-by-step explanation:
i just did it.