3/4
Step-by-step explanation:
Rate of change = (f(-4)-f(0))/-4
Plug in the numbers
f(-4) = 10 - (3/4)(-4) = 10-3 = 7
f(0) = 10 - (3/4)(0) = 10
Plug back into first equation
(7-10) = 3/4
-4
9514 1404 393
Answer:
-3/4
Step-by-step explanation:
The given function is a linear function with a slope of -3/4. (The slope is the coefficient of x.) The slope is the rate of change. For a linear function, the slope is the same everywhere. That is, the "average rate of change" and the "rate of change" and the "slope" are all the same value.
Here, the average rate of change is -3/4.
__
Alternate solution
You can compute the average rate of change using the formula ...
average rate of change = (f(x2) -f(x1))/(x2 -x1)
For x1 = -4 and x2 = 0, we need to know the function values:
f(-4) = 10 -(3/4)(-4) = 13
f(0) = 10 -(3/4)(0) = 10
So, the average rate of change formula gives ...
average rate of change = (10 -13)/(0 -(-4)) = -3/4
The average rate of change is -3/4.
The number of items, n, a shopper can have in the
express check-out lane is at most 8. Write this as an
inequality.
Answer: n < 8
Step-by-step explanation:
In order to find a constant rate of change, the function must be linear.
True or False?
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
what's the exact length of the segment
Answer:
√13
Step-by-step explanation:
length √(2^2+3^2)=√13.
What is 78/100 in standard form
Answer:
0.78 x 10^ 0
Step-by-step explanation:
Find the area of the given triangle. 16 5. 20
Answer: 160 m^2.
Step-by-step explanation:
What is the range of the data? 2.3 4.5 6.7 1.1 11.6 4.5 11.7 8.5 3.2 6.7 7.9
Answer:
10.6
Step-by-step explanation:
range is the difference between the lowest and the highest number
example: the lowest number wold be 1.1 and the highest is 11.7 you need to subtract them and then you have your answer!!!
The range of the given set of data is 10.8.
The given data is 2.3, 4.5, 6.7, 1.1, 11.6, 4.5, 11.7, 8.5, 3.2, 6.7, 7.9.
We need to find the range of the given data.
What is the range of the data?The range is the difference between the highest and lowest values within a set of numbers. To calculate the range, subtract the smallest number from the largest number in the set.
From the given set of data, we can see that the lowest observation is 1.1 and the highest observation is 11.7.
Now, range=11.7-1.1=10.8
Therefore, the range of the given set of data is 10.8.
To learn more about the range of the data visit:
https://brainly.com/question/20607770.
Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
Here please do this. 25 pts
Answer:
the correct answer is A
The product of 17 x .67 is ?
Answer:
11.39
Step-by-step explanation:
Have a great day! :)
4b
6c for b = (-3) and c = 5
Answer:
Today: Friday, 06 November 2020
Hour: 10.15 WIB (Indonesia)
_______________________________
so,
6c = 6 × 5 = 30
4b = 4 × (-3) = -12
Example:
4b - 6c
= 4(-3) - 6(5)
= -12 - 30
= - 42
4b + 6c
= 4(-3) + 6(5)
= -12 + 30
= 18
Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
The two functions have the same discriminant b² - 4a = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.
Now, From the graph the discriminant and properties here,
D = 0 as the vertex of the parabola intersect only at one point.
b² - 4ac = 0.
The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).
So, they have the same discriminant.
learn more about quadratic equations here :
https://brainly.com/question/30098550
#SPJ2
The system of inequalities,
x + y 2 10
is modeled in the graph below.
--x + y = -2
Select the region that contains solutions to the system of inequalities.
Solutions to the system of inequalities lie in one ofthe regions shown on the coordinate plane.
Region A
O Region B
O Region
O Region D
B
A
D
PLEASE HELPP ME
Answer:
wait you can message me if you want
btw can u make me the brainless huhu
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation:
2j^3-8j^2 please help
Answer:
Your answer is: [tex]2j^{2}(j-4)[/tex]
Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]
Step-by-step explanation:
Hope this helped : )
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
Four balls of wool will make 8 knitted hats. How many balls of wool will Janet need to make 6 hats?
doing my sister's homework plz help
Answer:
5/14
Step-by-step explanation:
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
Write a integer for the situation a deposit of $145.50
Helpppp fast pleaseeeee
Daily snowfall in Omaha in January
Mode, median or mean?
Answer:
mean but im guessing as well
Step-by-step explanation:
Find the equation of the line shown.
Answer:
4y + x = 8
Step-by-step explanation:
firstly, we choose any 2 points on the line
point 1 = (0,2)
point 2 = (4,1)
x1 = 0, x2 = 4
y1 = 2, y2 = 1
from,
[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]
[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]
[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]
Cross multiplying,
-1(x) = 4(y - 2)
-x = 4y - 8
4y + x = 8
The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
can someone graph y=x+4 i hate khan academy
Answer:
I hope this is good enough:
Step-by-step explanation:
I dis graph it just use demo's graphing system.
Midpoint (24,-20), endpoint (16,-17)
Answer:
Endpoint = (32,-23)
Step-by-step explanation:
end point = (16,-17)
midpoint = 24,-20)
other point = (x,y)
(x + 16)/2 = 24
x + 16 = 24 * 2
x + 16 = 48
x + 16-16 = 48-16
x = 32
======================
(y - 17/2 = - 20
y - 17 = - 20 * 2
y - 17 = - 40
y - 17+17 = - 40 + 17
y = - 23
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]