Answer:
7 or -7
Step-by-step explain
This depends on how it works. if we are including negative numbers then an option is -7. If we are going backwards and not including negatives then it would be 7
If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in
kilometers, where x is measured in minutes, which of the following is an
accurate interpretation of the student's trip?
a) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, continues walking to the playground, turns around, walks
back to the school and arrives after 3 minutes.
b) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, waits there for 1 minute, then returns home.
c) The student starts 6 km from school, walks to school and arrives at school
after 2 minutes, turns back to their house to the playground, turns around,
walks back to the school and arrives after 3 minutes.
d) The student starts 6 km from school, walks to school and arrives 1 minute
later, sits by the school, returns home, arrives after 2 minutes, and then turns
around and arrives back at school for a second time at 3 minutes.
e) None of the above are correct
It
Displacement means the distance traveled on a straight line to get to a certain destination. The interpretation of the given equation is option (a):
Given that:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
First, we calculate how far the student traveled to arrive at the school.
This means that we calculate f(0).
So, we have:
[tex]f(0) = (0 + 1)(0 - 2)(0 - 3)[/tex]
[tex]f(0) = ( 1)( - 2)( - 3)[/tex]
[tex]f(0) = 6[/tex]
The student walked 6km to school
When x = 2, it means:
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(2) = (2 + 1)(2-2)(2 -3) = 0[/tex]
This means that the student got to school after 2 minutes
When x = 3, it means
[tex]f(x) = (x + 1)(x - 2)(x - 3)[/tex]
[tex]f(3) = (3 + 1)(3-2)(3 -3) = 0[/tex]
This means that the student walked away, turned back and got to school after 3 minutes.
From the given options, option (a) fits the above description.
Read more about speed, displacement and time at:
https://brainly.com/question/862972
Which value in the set [4, 9, 15, 36] is a solution of 12 = 3 + x?
Answer:
x=9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12=x+3
Step 2: Flip the equation.
x+3=12
Step 3: Subtract 3 from both sides.
x+3−3=12−3
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
square inches.
The area of the carpet is
square inches.
Answer:
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
✔ 240
square inches.
The area of the carpet is
✔ 2,160
square inches.
Find the derivative of f(x)=4x+7 at x = 5.
Answer:
27
Step-by-step explanation:
f(x) is the same as y
if x=5 then you will multiply 5 by 4 which will give you 20
20 + 7 = 27
A cuántos grados equivalen πrad
math questions . 6th grade . please help 20 points and brainliest!
Answer:
y/9
g - 5
(6 * w) - 4
7 + (3g)
64/f
Step-by-step explanation:
For these questions, make sure to follow the order shown.
1. quotient is the answer of a division question, so it would be y/9
2. Difference is the answer of a subtraction question, so it would be g - 5
3. Product is the answer of a multiplication question, so it would be (6 * w) - 4
4. Remember, follow the order. The variable 'd' represents your dog's weight, so it would be 7 + (3g)
5. Remember when you are trying to find individual costs from a group payment, you have to divide the total by how many people there are. So, the variable 'f' represents how many friends were in the group, so it would be 64/f
Hope this helps :)
Answer:
1) [tex]\frac{y}{9}[/tex]
2) 2g - 5
3) 6w - 4
4) let d = dog's weight and m = my weight
3d+7= m
5) let g = number of friends and c = cost per person
[tex]\frac{64}{g}[/tex] = c
what fraction does not belong?
8/12
6/12
2/3
4/6
Answer:
2/3
Step-by-step explanation:
because if you do 12 divided by 8 =1.15 and all the other one is 1.5 except 2/3
WILL GIVE BRAINLIEST. NEED URGENTLY!
Use the FOIL method to find the product below.
(x + 3)(x2 - 6x)
A. x3 - 9x2 - 18
B. X8 - 9x2 - 18x
c. x3 - 3x2 - 18x
D. x2 – 3x2 - 18
Answer:
C) x³-3x²-18x
Step-by-step explanation:
x³-6x²+3x²-18x
x³-3x²-18x
What is the volume of a cube with a side length of 5?
Answer:
125
Step-by-step explanation:
L x W x H
All are equal sides so 5 are all the lengths of each side of the cube.
Write 237 m as a fraction of 3.5 km
Answer:
0.237/3.5
Step-by-step explanation:
In order to rite 237 m as a fraction of 3.5 km, 237m must be in the same unit as 3.5km
it is necessary to convert, 237m to km
1000m = 1 km
so 237m = 237/1000= 0.237
0.237/3.5
There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, you picked a blue marble. Without putting the blue
marble back, what is the probability of picking a green marble?
Answer:
1/3
Step-by-step explanation:
Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not decimal values.
cos(30∘)=
sin(30∘)=
tan(30∘)=
cos(60∘)=
sin(60∘)=
tan(60∘)=
Please help me find all the missing angles
Answer:
Look at image I attached below.
Step-by-step explanation:
Important points to memorize when finding missing angles like these:
Two angles directly across from each other, not next to, are equal. All angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.A full spin-around equals 360°. All angles in any triangle add up to 180°.When you know all these important rules, the rest is just a matter of adding and subtracting.
identify the like terms 4b, 8, 2b, 1
Answer:
4b & 2b are like terms
Step-by-step explanation:
If f(x)=3x^2+x-2, then f(-2)=
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) , substitute x = - 2 into f(x) , that is
f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8
what does l-7l mean and whats its value NEED HELP
Which improper fraction is equivalent to 15 3/7
Answer:
108/7
Step-by-step explanation:
15*7 is 105+3 is 108/7
Jeff had $20. He spent 18 of his money on lunch and 25 of his money at the movies.
How much money does Jeff have left?
A. $5.50
B. $7.00
C. $8.25
D. $9.50
Question 6
If a truck can drive 24,4 miles in 1 gallon, how many miles would I be able to drive with a filled 30 gallon tank?
Answer: 732 mi
Step-by-step explanation:
Assuming you meant 24.4
A rental car company charges $25 plus $0.17 per mile. Which expression shows the cost of renting a car for x miles? answer choices25x + 0.17
a.0.17x + 25
b.25.17x
c.25x + 0.17x
What is the solution of log3x − 5 16 = 2?
Answer:
log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3
Step-by-step explanation:
Answer this correctly I’ll give u brainalist + 10 points
Answer:
c
Step-by-step explanation:
Answer:
C. II and III
Step-by-step explanation:
Vertical angles are all start across from each other.
So:
∠3 and ∠6 are across from each other
∠2 and ∠5 are across from each other
∠1 and ∠4 are across from each other
The only option with at least two of the true statements above is C.
sms
3. The scale factor from the original figure to its copy
is Draw the original figure
Original
Copy
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
What is the value of x?
Answer:
33.5
Step-by-step explanation:
4x+5+41=180
4x+46=180
4x=180-46
4x=134
4x=33.5
The area of the parallelogram is___ cm2
Answer:
Step-by-step explanation:
Area of parallelogram=base×perpendicular height
Area of para.= 7×14
Area of para.= 98cm²
PLS HELP!!
Figure ABCD has vertices A(1, 1), B(1, 4), C(4,4), and D(4,1). What are the coordinates of the vertices of Figure
A'B'C'D' after a reflection across the line x = -2 and a translation 3 units up? Drag numbers to complete the coordinates.
Numbers may be used once, more than once, or not at all.
-
numbers are -8,-7,-6,-5,-4,4,5,6,7,8
Answer:
A’ (-5,4) B’ (-5,7), C’ (-8,7), D‘ (-8,4)
Step-by-step explanation:
Just had this test lol
Select all the expressions that are equivalent to 12n + 8.
A. 3n + 4 + 3 + 4 + 4n
B. 11n - 4 + 0 + 12
C. 6(6n + 2)
. D. 4(3n+2)
E. 4n + 12-23 + 8n
Answer:
D and B and E
right and evaluate an expression to help you determine how much you make if you charge $7.50 to walk dogs and you walk 10 dogs
Answer:
7.50(10)
You make 75 dollars
Step-by-step explanation:
7.50(10)= 75
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].