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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Mrs. Hilt has 6 boxes of markers. Each box has 19 markers in it. If she sold each maker for $0.75, how much money would Mrs. Hilt earn?
Answer:
85.50
Step-by-step explanation:
6 times 19 = 114 markers then times .75= 85.50
Help me please help help
Answer:
Step-by-step explanation:
Greater than (<)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
No Solution!
Step-by-step explanation:
If we make a graph of the given equations the equation's lines will be parallel. We know that, when the lines are parallel, there is no solution.
Answer:
I think it has only one solution
Which of the following shapes is a prism? Select All that apply.
A. Shape 1: Circle
B. Shape 2: Cylinder
CShape 3: Rectangular Box
D. Shape 4: Cube
E. Shape 5: Pyramid
F. Shape 6: Cone
Answer:
C D
Step-by-step explanation:
28cm, 62cm, 75cm is this a right triangle
Answer:No
Step-by-step explanation:
PLEASE HELP, will get brainliest
Answer:
The answer is the first, hope this helps
Step-by-step explanation:
could you help me pleas
if 25 worker need 3 days to build a house how long will 10 worker need
Answer:
3 x 10 = 30 man-days per house
Answer:
7.5 days
Step-by-step explanation:
Write the equation of a line that has m=2 and passes through (-5, -6).
Answer:
y=2x+4
Step-by-step explanation:
y-(-6)=2(x-(-5))
y+6=2(x+5)
y+6=2x+10
y=2x+10-6
y=2x+4
two numbers are in the ratio 3 is to 5 what is the ratio between the squares
Dylan opened a credit card account with $700,00 of available credit. Now that he has made
some purchases, Dylan's account only has $539.00 of available credit. What is the percentage
decrease of the amount of available credit in Dylan's account?
A.
23%
B.
17%
C.
30%
D.
77%
Please help!! due today
Answer:
5f + 6g + 12
Step-by-step explanation:
10f - 5f is 5f, you would keep 6g as it is because there are no other numbers to add to it, and 8 + 4 is 12. Hope this helps!! :)
The probability of an event is
9
50
Describe the likelihood of the event.
o Certain
0 Likely
O Equally likely to happen or not happen
• Unlikely
o Impossible
Please help
Answer:
50
Probable
Equally likely to happen or not happen
Step-by-step explanation:
Find the area of the rectangle below. Show your work
Answer:
32
Step-by-step explanation:
you can multiply
4 up 8 across so 4 x 8 = 32
Answer:
Area= 32 units
Step-by-step explanation:
A=Bh or Area=Base times height. the base is 8 and the height is 4. 8 times 4 is equal to 32.
Help! I’ll reward brainest its pretty easy
Am I correct? (Perfect Square Form)
Answer:
[tex](x -3 )^2 = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 6x - 1 = 0[/tex]
Required: Express as a perfect square
[tex]x^2 - 6x - 1 = 0[/tex]
Add 10 to both sides
[tex]x^2 - 6x - 1 +10= 0+10[/tex]
[tex]x^2 - 6x +9= 10[/tex]
Expand
[tex]x^2 - 3x - 3x+9= 10[/tex]
Factorize:
[tex]x(x - 3) - 3(x - 3)= 10[/tex]
Factorize:
[tex](x -3 )(x - 3) = 10[/tex]
[tex](x -3 )^2 = 10[/tex]
Solve
9x^2 + 3x = 20
Answer:
20 barriles diarios y en los trajes y que es el que
please help me with this question
help me with this root problem....
Answer:
No real roots
Step-by-step explanation:
When graphed, doesn't cross the x-axis
pls help have a nice day
Answer:
I THINK the first and second choice, because it said the last two digits are between the numbers 0-9, them two are the only ones that end with them.
Step-by-step explanation:
You have a nice day to!!
George Smith own's George's Joint, a gas station and convenience store. George is trying to get a better understanding of his business and wants to estimate the mean number of gallons of gasoline sold to his customers. Assume the number of gallons of gasoline sold follows a normal distribution with a population standard deviation of 2.3 gallons. From his records, he randomly selects 60 sales and find the mean number of gallons sold is 8.6. What is the point estimate of the population mean
Answer:
The point estimate of the population mean is of 8.6 gallons sold.
Step-by-step explanation:
Point estimate for the population mean:
From a large sample, the point estimate for the population mean is the sample mean.
In this question:
The sample mean number of gallons sold is 8.6. This means that the point estimate of the population mean is of 8.6 gallons sold.
Simplify the following expression:
(i-3) +6i-3(8 - i)
A. 21+7
B. -27 +10;
C. 14 +6;
D. 8 +41
The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i
How to simplify the complex expressionFrom the question, we have the following parameters that can be used in our computation:
(i-3) +6i-3(8 - i)
Express properly
So, we have
(i - 3) + 6i - 3(8 - i)
When the brackets are opened, we have
(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i
Collect the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = - 3 - 24 + i + 6i + 3i
Evaluate the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = -27 + 10i
Hence, the complex expression when simplified is -27 + 10i
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Can someone please help
Answer:
take 121 subtract it from 180 and you get 59 so angle d is 59°. and angle b is 154°
Find the quotient.
(6x ^2 + 23x + 20) ÷ (5 + 2x)
a) 3x - 4
b) 3x + 4
c) 3x +19
Answer:
3x+4
Step-by-step explanation:
Find the area of the parallelogram.
The area of the parallelogram is [a] in2.
Answer:
A = 117in²
Step-by-step explanation:
A = bh
A = 9×13
A = 117in²
13
×9
117
Since it's a parallelogram where going to do the formula b×h.
Answer:
117in²
Step-by-step explanation:
AE←→ is a straight line in the diagram.
What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?
What is the measure of each angle?
Explain how an equation can be written to find m∠CBD.
Answer:
hwqvh bjvs bhs ebf
Step-by-step explanation:
please help i dont get it
Answer:
i got y = 5x but not sure
Step-by-step explanation:
Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?
Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
A suitcase is discounted 40 % off the original price, p . Which expression represents the price of the suitcase with the discount?
Answer:
Step-by-step explanation:
b
0.6p is the expression represents the price of the suitcase with the discount
How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!To learn more about discount, refer to https://brainly.com/question/1548141
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which expression would be easier to simplify if you used the commutative property to change the order of the numbers
Answer:
D
Step-by-step explanation:
Answer:
Hi There :)
If your talking about the question:
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. -10 (-20) + 1/2
B. 60 + 40 + (-25)
C. 30 + (-12) + 70
D. 1/3 + 2/3 + (- 1/4)
Then the answer would be
C. 30 + (-12) + 70
Hope this helps :)