Answer:
a
Step-by-step explanation:
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.
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Charmaine is having a party. She'll have 4 tables for every 8 guests. Complete the table below showing the number of tables and the number of guests
Answer:
Top is 18, Bottom goes 6 for 12, then 7 for 14, then 10 for 20
Step-by-step explanation:
2 guests = 1 table
Use a double number line to answer Problem 1-5.
Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?
Answer:
900 cans and bottles.
Hope that helps!
Step-by-step explanation:
360 / 4 = 90
90 x 100 = 900
Hope that helps!
Find the equation of the line with slope m=1 that contains the point (1,2)
Answer:
y = x + 1
Step-by-step explanation:
We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)
Where m is the slope and (x1 y1) is a point the line passes through.
Substituting the slope and the values from the point in the problem gives:
( y - 2 ) = 1 ( x - 1 )
We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b
y - 2 = 1x - 1
y = 1x - 1 + 2
y = 1x + 1 or y = x + 1 * are just the same.
The equation of the line is y = x + 1.
What is a slope?The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
And here we have the slope,
m = 1
And (x₁ ,y₁) = (1,2)
then the equation of line is
y - y₁ = m (x - x₁)
y - 2 = (x -1)
y = x + 1
Therefore, the equation is y = x + 1.
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5. Can two fractions point to the same location on the number line? Explain.
Answer:
1 2 = 2 4 = 3 6 = 4 8 = etc. All of these fractions are located at the same point on the number line. Therefore, they represent the same number. From the paper folding exercises, we see that increasing both numerator and denominator of a fraction by the same factor gives an equivalent or equal fraction.
Hope this helps :) Just know I tried.
The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
Can someone please help!!!
Answer:
its the 3rd one
Step-by-step explanation:
Please help!!! I'm very confused! Im giving points for it but if please tell the truth <3
Answer:
A
Step-by-step explanation:
It actually trying to trick you with a double negative
Answer:
A
Step-by-step explanation:
Squares do have right angles, if they did not have to then all other ssquares with no right angles would be considered rhombuses.
The question is sking which does not apply, a does not apply but thats what theyre asking so its a
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?
Total number of children are 116 and adults are 160.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number of children entered in park = x
And the number of adults entered in park = y
Fee for children = $20
Fee for adults = $35
According to given condition,
Total number of people = 276
⇒x+y = 276 (1)
Total fees collected = $7620
⇒20x+35y = 7620 (2)
By solving equation (1) and (2),
The value of x is 116
And value of y is 160
Total number of children are 116 and adults are 160.
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All of the following operations are used to solve for X in the equation below except one. Which one is it ? 9x-2=4x+8 A. Addition B. Division C. Multiplication D. Subtraction
Step-by-step explanation:
9x - 2 = 4x + 8 → (9-4)x = 8 + 2 → 5x = 10 → x = 10/2 = 5
C. multiplication
Multiplication not used
Find each product mentally, using the distributive property, 4x51/8. (giving brainliest)
Answer:
25.5
Step-by-step explanation:
4 x 51 / 8
204/8
25.5
Answer:
Step-by-step explanation:
4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5
Solve the system by substitution.
2x + 3y = 32
y = x + 9
Answer:
x=1 and y=10 (1,10)
Step-by-step explanation:
2+30=32
10=1+9
In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
length of FD to the nearest tenth of a foot.
E
539
57
F
D
X
Answer:
Check pdf
Step-by-step explanation:
The shorter leg of a right triangle is 10 meters. the hypotenuse is 2 meters longer than the longer leg. Find all three sides
Answer:
the shorter leg is 10 meters, longer leg is 24 meters and the hypotenuse is 26 meters
Help ASAP!!! I’m confused. Thank you!
Answer:
y = 23
Step-by-step explanation:
115 = 5y
Divide 5 by both sides of the equation.
y = 23
work out the value of angle x 24 degrees
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
The value of x from the triangle is given by the equation x = 78°
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of angle ∠A = 24°
It is an isosceles triangle with ∠B = ∠C
So , the measures of the two angles are the same
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
x + x + 24° = 180°
On simplifying the equation , we get
2x = 156°
Divide by 2 on both sides of the equation , we get
x = 78°
Hence , the measure of x = 78°
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The volume of a right rectangular prism can be found by using the product 9(4)(1.1). Which expression could also be used to determine the volume of this prism?
O 11(9)(4)
O 9(4) + 1
0 32(11)
O 9 + 4 + 11
plss help fast
Answer:The answer is A)11(9)(4)
Step-by-step explanation:
If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)
Answer:
The Answer is 11 (9 + 4)
What would you call the expression 2x -5y - 7?
Answer:
Trinomial
Step-by-step explanation:
Its called a Trinomial since it has 3 terms in it
Hope its helps!
Jillian and her friend went shopping. They were both looking for some new CD's. Jillian went to Music Matrix and spent $25.56 on 4 CD's. Her friend
spent $18.45 on 3 CD's. Who got the better deal? Show your work for each person. Answer who got the better deal and explain your reasoning,
Answer:
Her friend got the better deal.
Step-by-step explanation:
For Jillians equation look at
$22.56/4 = $6.39 per CD
For her friends equation look at
$18.45/3 = $6.15 per CD
Jillian's friend got the better deal because she paid less per CD as shown in the equations above.
Please help, I’ve looked everywhere and haven’t found any answers!
Answer:
m = 4 + (2n)/(3)
Step-by-step explanation:
Move all terms that contain m to the right side and solve it.
What two positive consecutive integers have a product of 72
Answer:
32 and 70
Step-by-step explanation:
k(k + 1)(k + 2) – 3k(k + 1)
Need a step-by-step guide on how to factor this completely
Answer:
Step-by-step explanation:
k(k+1)(k+2) - 3k(k+1)
k and (k+1) are common to both terms.
k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)
The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?
an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1
Answer:
C
Step-by-step explanation:
The formula for any geometric sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.
We want the formula for the geometric sequence:
-3, -6, -12, -24, ...
Note that our first term is -3. Hence, a₁ = -3.
Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.
Therefore, by substitution, we acquire:
[tex]a_n=-3\cdot (2)^{n-1}[/tex]
Our answer is C.
Melinda and Davy are making postcards to announce their new address. The table shows the number of postcards they can make together during each hour they are working. If they continue to make postcards at this rate, what is the total number they will make in 6 hours? Postcards
Number of Hours Number of Postcards
1 7
2 14
3 21
Answer:
3
Step-by-step explanation:
What is the number?
Help me
2+׳
What's the answer?
Answer:
x^3+2
Step-by-step explanation:
down the additive inverse of 4 by 7
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
The additive inverse of 4/7 is -4/7.hopefully help:)
Step-by-step explanation:
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IM GIVING BRAINLIEST!!!!
A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.
EXPLAIN THE PROCESS AND THE STEPS PLEASEEE
Answer:
h=3in
Step-by-step explanation:
A=a+b
2h
Solving forh
h=2A
a+b=2·13.5
3+6=3in
Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2
Answer:
Total surface area = 340 cm²
Step-by-step explanation:
Surface area of the given prism = Area of two bases + Area of its lateral surfaces
Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]
= [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]
= 45 cm²
Area of the lateral sides of the prism = Perimeter of the pentagonal base × height
= (5×5)×10
= 250 cm²
Total surface area of the prism = 2(45) + 250
= 90 + 250
= 340 cm²
The sides of the figure below measure 11, 22, and 27 meters. Find the perimeter. Do not include units in your answer
Answer:
27
Step-by-step explanation:
try that it should work for their
The perimeter of the figure is 60
How to determine the perimeter?The side lengths are given as:
11, 22, and 27 meters
The perimeter of the triangle is the sum of its side length.
So, we have:
Perimeter = 11 + 22 + 27
Evaluate the sum
Perimeter = 60
Hence, the perimeter of the figure is 60
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