Answer: To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
Step-by-step explanation:
The Average of rate is -1.
Everytime it goes up by one the y goes down by 1 so it would be -1.
The average rate of change of the function in the table given is: -1.
What is Average Rate of Chnge of a Function?Average rate of change of a function = change in y / change in x = rise/run.
Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):
Average rate of change of the function = (7 - 5)/(-2 - 0)
Average rate of change of the function = 2/-2
Average rate of change of the function = -1.
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What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
You are told to make a new image with a scale factor of 1 or 100%. How would the new image look
compared to the original?
Answer:
the size would remain the same
Step-by-step explanation:
100% of something means nothing has decreased or increased, no changes to original
Name the angle relationship between a and b
Answer:
∠a=∠b
Step-by-step explanation:
Alternate exterior angles are congruent
Identifying integers
Which of the following are true statements? Select all that apply
Answer:
what are the options...
Step-by-step explanation:
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
A square has the same area as a rectangle with side of length 9 cm and 16 cm .What is the length of one side of the square ?
Answer:
12cm
Step-by-step explanation:
Area of square = Area of rectangle
Area of square = length x breadth
Area of square = 9 x 16 = 144(cm)^2
(side)^2 = 144
side = √144
side = 12cm
12cm
Step-by-step explanation:
area of square=area of rectangle
s^2=L*W
area of rectangle=length * width
area of rectangle=9cm*16cm=144cm^2
s^2 =144cm^2
s=12 cm
contrast how to graph x=2 and y=-4
Answer:
First of all, the x axis goes left to right while the y axis goes up to down.
Step-by-step explanation:
Please can someone solve some questions on similar triangles ASAP.
Answer:
post the question i can do it
Step-by-step explanation:
HELP! What is the solution to the linear system? (Picture included)
Answer:
(15,9)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The intersect at x=15 and y =9
(15,9)
GUYS PLEASE HELP ME, PLEASE SHOW WORK AND I WILL MARK BRAINLEST!
No Docs/No Files only real answer
5-star rated and I will give a brainliest
Answer:
question a is technically 7.5 and question b is 7.5
Step-by-step explanation:
half half
Determine the area of the blue triangle below. Round your answer to
the nearest tenth.
Answer:
68.9 in^2
Step-by-step explanation:
first lets find the height of the blue triangle
hypotenuse = 15 in
one side is 12 in whereas other has to be find.
take 50 degree as reference angle
using sin rule
sin 50 = opposite/hypotenuse
0.76 = opposite/15
0.766*15 = opposite
11.49 = opposite
area of triangle = base*height/2
=12*11.49/2
=136.88/2
=68.94
=68.9 in^2
Answer:
A = 68.9 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are 2 sides and C the angle between them )
Here a = 12, b = 15 and C = 50° , then
A = [tex]\frac{1}{2}[/tex] × 12 × 15 × sin50°
= 6 × 15 × sin50°
= 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )
I Need Help Finding The Answer To m
Answer:
164.4
Step-by-step explanation:
m<ABC = m<ABK + m<KBC
17x + 8 = 42 + 12x - 4
17x - 12x = 42 - 4 + 8 add like terms
5x = 46 divide both sides by 5
x = 9.2 now replace x with 9.2 in 17x + 8
17*9.2 + 8 = 164.4
The function y = log (x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
Answer:
whichever one looks like the screenshot i have of the graph-
Answer:
Graph B
Step-by-step explanation:
Took the test and got it right on EDGE22
An internet company charges its customers in the following way. The internet is free for the first five hours each month and then is charged at a rate of 10 cents per hour. a) Derive a formula for calculating the cost, $C, of h hours of internet use. b) Use your formula to calculate the monthly cost of 55 hours of internet use.
Answer:
$500
Step-by-step explanation:
f(x) = 0 + 10h
f(x) = $C
$C = 0 + 10(50)
55-5 = 50
$C = 10(50)
$C = $500
Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.
Answer:
6 6 6 6 11
Step-by-step explanation:
The median is the middle number
the mode is the number of items, usually the number that are the same.
the mean is the average
the range is the number between the smallest and the largest.
So the information you have makes 4 of the 5 numbers the same.
The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6
x 6 6 6 6 or 6 6 6 6 x is what you know so far.
The range is a bit of a devil. And so is the mean. We need the mean to be related to 5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11
The difference between 11 and 6 = 5
So 11 works for everything but the range.
If the range must be ten, then x = 16 but then the mean = 8 and 7 is incorrect
So I can get 3 out of 4, but not them all.
lf R(x) = x2 – 3x – 1, find R(-2).
a.9
b.-9
c.-3
d.-11
Answer:
A.
Step-by-step explanation:
If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.
There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 5/12. There are 40 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be
Answer: the total number of milk chocolate is 6
Step-by-step explanation:
Solve for x and state the measure of the angles with an x in them
Answer:
x = 83
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
75+x+97+105 = 360
Combine like terms
x+277=360
Subtract 277 from each side
x+277-277=360-277
x = 83
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.
What expression represents the profit, and what is the profit if 240 cell phones are sold?
40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800
Answer:
C
Step-by-step explanation:
Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.
The profit, if 240 cell phones are sold, is $16,850.
Profit = 70x + 50
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The profit, in dollars, can be found by subtracting the cost from the revenue:
Profit = Revenue - Cost
= (2x² + 55x + 10) - (2x² - 15x - 40)
= 70x + 50
The expression for profit is 70x + 50.
To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:
Profit = 70x + 50
= 70(240) + 50
= 16,850
Therefore,
The profit, if 240 cell phones are sold, is $16,850.
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does anyone know how to solve this?
Answer:
[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]
WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
HELP ASAP PLEASE!! :]
Answer:
36 sq units
Step-by-step explanation:
the area of shaded part =
(½×12×12) - (6×6)
= 72-36
= 36 sq units
HELP WOULD BE MUCH APPRECIATED
Answer:
the trapezoid will go on the side where it states "will have no pair of parallel sides"
Answer:
A trapezoid has at least one pair of parallel sides.
Step-by-step explanation:
A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour?
Answer:
102.5 km
Step-by-step explanation:
820km/8 hours=102.5 km
What is the probability of a student liking music given they already like art?
Using it's concept, the probability that a student liking music given they already like art is of 10/17 = 0.5882 = 58.82%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, from the Venn Diagram, there are 17 students who like art, and of those, 10 like music, hence the probability is given by:
10/17 = 0.5882 = 58.82%.
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Which is the solution to the inaquality y+15<3
Answer:
y < - 12
Step-by-step explanation:
Given
y + 15 < 3 ( subtract 15 from both sides )
y < - 12
Simplify -|-7 + 4|. please helppppp
Answer: -3
Step-by-step explanation:
-l-7+4l = -l-3l = - 3
ll means anything inside there is positive, so for example if -3 was in there, l-3l = 3
Answer:
- 3
Step-by-step explanation:
-|-7 + 4|
Simplify inside the absolute values first( like parentheses)
-|-3|
Take the nonnegative value for the absolute value
- 3
i need help lol
thanks and bye
Answer: I think a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
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