When we have a given function f(x), the rate of change in a given value x₀ is given by:
[tex]\frac{df(x_0)}{dx} = \lim_{h \to 0} \frac{f(x_0 + h) - f(x_0)}{h}[/tex]
We will find that the rate of change at t = 4s is:
r = -1/3
Now we can't do this if we do not have the function and we only have a text description of the graph, but what we can do is find the average rate of change.
For a function f(x), the average rate of change in an interval (a, b) such that a < b is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Something really nice is that the average rate of change is equal to the exact rate of change if f(x) is a linear equation.
If we want to find the rate of change at t = 4, then we need to find the smallest interval that contains t = 4.
Here we know that the graph passes through the points:
(3,1) to (6, 0)
Because of the statement "a line falling from (3, 1) to (6, 0)" we know that in this segment we have a line, which implies that the average rate of change will be equal to the exact rate of change.
Using the equation of the average rate of change we get:
[tex]r = \frac{d(6) - d(3)}{6 - 3} = \frac{0 - 1}{3} = - 1/3[/tex]
Then the rate of change in the distance at the time t = 4s is -1/3.
If you want to learn more, you can read:
https://brainly.com/question/18904995
Find the coordinates of the point P that lies along the directed line segment from A(-2,5) and B(2,-3) and partitions the segment in the ratio of 4 to 1.
A (1.6, -1.2)
B (1, 4.5)
C (1.2, -1.4 )
D (9, -2)
Part B
Find the coordinates of the point P that lies along the directed line segment from A(-3,-4) and B(5,0) and partitions the segment in the ratio of 2 to 3.
Group of answer choices
(-2.4, 0.2)
(0.2, -2.4)
(-0.2, 0.4)
(-0.4, 6)
Answer:
help
Step-by-step explanation:
A. 5x-2+x=x-4 B. 5x+x=x-4
B. -4/6
Step-by-step explanation:
5x+x=-4
6x=-4
x=-4/6
Answer:
x= -2/5 or -0.4 x= -4/5 or -0.8Step-by-step explanation:
If you are solving for x then you should get something like this
A 5x-2+x=x- 4 B. 5x+x=x-4
6x-2=-4. 6x=x-4
6x-2-x=-4. 6x-x=-4
5x-2+2=-4+2. 5x=-4
5x/5=-2/5. 5x/5=-4/5
x=-2/5. x=-4/5
I hope this helped you out!
from 8 abc subtract abc. from 8 abc subtract 8
ans all these questions please
Answer:
the answer is in picture
1- Operations with Fractions
2 1/2 - 5/3
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{5}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. If there were 1,000 American college students in a room, how many would you expect to prefer soccer?
Answer:
Step-by-step explanation:
53+26+15=94
94-100=6
So I'm just gonna assume that 6% of people prefer to watch soccer.
Now to solve how many people out of 1000 would watch soccer we'd have to multiply 1000 by 0.09 which gives us 90.
So 90 people out of 1000 would prefer to watch soccer.
Help me please! What shape is it?
You're a square !!!1!!!!!!!!11
Is [tex] \frac{1}{ \sqrt{5} } [/tex] a rational or a non-rational number
Answer:
yes it is a rational number..
PLZZ HELP ME (50 POINTS)
Answer:
x = w / 57r is the answer
a cylindrical barrel contains 42 gallons of oil the diameter is 18 inches. determine the radius of a barrel in centimetres
Find the length of segment GH.
21
12
F
Answer:
GH = 9
Step-by-step explanation:
FH=FG+GH
21= 12+GH
GH = 21-12 =9
I hope I helped you^_^
"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3
Write in the form y=mx±b,y=mx±b (first the parallel, then the perpendicular)"
Answer:
For parallel:
gradient is 1/5
[tex]y = mx + c[/tex]
consider (5, -2):
[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]
[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]
For perpendicular:
gradient, m1:
[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]
gradient = -5
[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]
[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]
Answer:
Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]
Perpendicular: [tex]y=-5x+23[/tex]
Step-by-step explanation:
Hi there!
What we must know:
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, -6/7 and 7/6)Finding the Parallel Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+b[/tex]
Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:
[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]
Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].
Finding the Perpendicular Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
To find the y-intercept, plug in the point (5,-2) and solve for b:
[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]
Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+23[/tex]
Our final equation is [tex]y=-5x+23[/tex].
I hope this helps!
What is 5.67 written in standard form?
Answer:
0.567 X 10
Step-by-step explanation:
5.67 in standard form is 0.567
2+3+4+6+6+5+8+9+4+3+5+8+9=
Answer:
72
Step-by-step explanation:
5,9,15,21,26,34,43,47,50,55,63,72
Answer: it's 72
ok!! hope it helps
The coordinates of point T are (0,5). The midpoint of ST is (5,-2). Find the coordinates of point S.
Answer:
(10, -9)
Step-by-step explanation:
Xs = 5 -(0-5) = 5+5 = 10
Ys = -2 -(5-(-2)) = -2 - 7 = -9
so, the coordinates of point S => (10, -9)
Answer:
S(10, -9)Step-by-step explanation:
Use midpoint formula and assume S(x, y):
(0 + x)/2 = 5 ⇒ x / 2 = 5 ⇒ x = 10(5 + y)/2 = -2 ⇒ 5 + y = -4 ⇒ y = -4 - 5 ⇒ y = -9Please help me I don’t understand how to do it. If you can please use a data table to explain how to do it.
Answer:
The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.
Step-by-step explanation:
Let us have x liters of the .7 mixture and y liters of the .6 mixture.
We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35
We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .
So we have the system
700x+600y=62(35)
10x+10y=35
I'm going to setup this up for linear combination/elimination.
Multiply bottom equation by 60.
700x+600y=62(35)
600x+600y=60(35)
Subtract equations (bottom from top):
(700-600)x+(600-600)y=35(62-60)
Simplify:
100x+0y=35(2)
100x=70
Divide both sides by 100:
x=70/100
x=7/10
Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.
y=3.5-x with x=.7
y=3.5-0.7
y=2.8
The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.
Pic added.
Another way to do problem:
.7x+.6(3.5-x)=.62(3.5)
Multiply and distribute:
.7x+2.1-.6x=2.17
Combine like terms on left:
.1x+2.1=2.17
Subtract 2.1 on both sides:
.1x=.07
Multiply both sides by 10:
x=0.7 liters
Now the other acid solution is 3.5-0.7 which is 2.8 litera.
Matrix addition is shown here.
-5 -4 t
W -6 -2
3 -2 3
+
-5 z 11
=
21
-4 2-1
-9 7 s
Enter the value of s, t, w and z
Answer:
I haven't learned matrix sorry
What’s the answer for 5g=20
after a 20% reduction, you purchase a television for $336. What was the television's price before the reduction?
Given that LMN and PQR are
complementary angles, find the measures
of the angles if the m LMN = 8x + 1 and
the m PQR = 2x + 9.
Answer:
∠ LMN = 65° , ∠ PQR = 25°
Step-by-step explanation:
Complementary angles sum to 90°
∠ LMN + ∠ PQR = 90° , that is
8x + 1 + 2x + 9 = 90
10x + 10 = 90 ( subtract 10 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°
∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°
In a survey of mobile and telephone, it was found that 200 people had telephone, 25
had both, 135 did not have telephone and 300 did not have mobile.
i. How many people participated in the survey?
ii. How many people had mobile only
Answer:
a)660
b)135
Step-by-step explanation:
a)200+25+135+300=660
b) 135 because since 135 do not have telephone, they will have mobile instead.
Hope this helps! Thanks.
4. 2) 836
does anyone know this?
Answer:
418
Step-by-step explanation:
2) 836 = 836/2
=418
•°•2) 836=418
Answer:
836/2=418,Hope it helps.
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
if(2x-y)=4 then (6x-3y)=?
Answer:
12
Step-by-step explanation:
(2x-y)=4
Multiply the first equation by 3
3*(2x-y)=3*4
6x -3y = 12
What is the value of 6 (2b-4) When b=5
Answer:
36
Step-by-step explanation:
Replace the 2b with 10 and then do the parenthesis, so 10-4=6
now multiply it with the 6 outside the parenthesis and you get 36
Hi! I'm happy to help!
First of all, we need to substitute b into the expression.
6(2b-4)
6((2×5)-4)
Now we use the order of operations, or PEMDAS (Parenthesis, Exponents, Multiplication or Division, and Addition or Subtraction) to finish simplifying.
We see that 2×5 is inside two sets of parenthesis, so we solve that first
6((2×5)-4)
6((10)-4)
We cam remove the extra set of parenthesis because there isn't an expression inside of it any more.
6(10-4)
Now, we look inside of the parenthesis again and we see 10-4
6(10-4)
6(6)
The six next to the parenthesis has no sign next to it, which means to multiply.
6×(6)
Now we can remove the parenthesis.
6×6
Now, we just simply multiply.
6×6
36
To sum it up: The value of 6 (2b-4) When b=5 is 36
I hope this was helpful, keep learning! :D
brainiest to whoever right
Answer:
The area is 7.5 square units
Jordan has $20 to share among three people Jordan types 20÷3 into his calculator and gets 6.666666667 where should Jordan round
Answer: to the nearest tenth i believe, 6.8
Step-by-step explanation:
The round off should be ones place.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given:
20÷3
The resulting value is 6.666666667.
So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.
Hence, the round off should be ones place = 7
Learn more about rounding off here:
https://brainly.com/question/13391706
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The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?
Answer:
fraction of blue beads = 7/(4+7)
= 7/11
Answer:
3:5
Step-by-step explanation:
find a common numeral
Matrix addition is shown here.
([3,-2,3],[-5,2,11])=([-5,-4,4],[-4,2,-1])=([m,-6,-2],[-9,7,5])
Enter the value of s
Answer:
The value of s=10
Step-by-step explanation:
11+(-1)=10
what is the 30th square number
plz tell the answer
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900