The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
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Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?
Answer: 1:30 (one hour and thirty minutes)
Step-by-step explanation:
If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.
Answer:
1.5 hours
Step-by-step explanation:
12/1 = 18/x
X = 18/12 = 1.5 hours
Price reduced
25% off
Now £14 625
Work out the price of the car before it was reduced.
Step-by-step explanation:
let x be the original.price
so x * 75/100= 14625
x=19500
so the price of car before it was reduced was 19500
The price of the car before it was reduced is £19500.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the price of the car with 25% price reduced is £14625.
Now to find the price of the car before it was reduced,
for that we will find the price of car to 100 - 25 = 75 percentage.
Let P be the price of the car before it was reduced.
P × 75 / 100 = 14625
P = 14625 × 100 / 75
P = £19500
Therefore, the price of the car before it was reduced is £19500.
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Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
Answer:
tfollow me plzzz
Step-by-step explanation:
A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.
Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
Answer:1.2
Step-by-step explanation:
Answer:
1.2 Inches, It moves 0.3 inches in 1 hour so if in 1 hour it moves 0.3 and in 2 0.6 and in 3 0.9 so in 4 hours it will move 1.2 inches
Step-by-step explanation:
PLEASE HELP!! Please show me work also!
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
What is the domain for a continuous function
Answer: the third one
Step-by-step explanation: C
RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?
Answer:
Step-by-step explanation:
1st of July: J
4th of January: U
1st of December: D
8th of February: Y
Answer: JUDY!
Answer:
Child this has to be one the most hard riddles I ever did
Step-by-step explanation:
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
Provide reasons for the proof.
Given: ∠2≅∠4 and ∠2 and ∠3 are supplementary
Prove: ∠1 ≅∠3
Answer:
See picture below.
Explanation
I took the test and got a 100% on it, so this should be right for any future students.
Choole a line m that passes through point, P, and is parallel to linel.
Answer:
c
Step-by-step explanation:
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
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ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE
Answer:
- 84
Step-by-step explanation:
I think answer to this question is -28
I hope it will be correct
I need help please.
M a t h
Answer:
option 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here are the conditions.
The car must go at least 55 mph. That means that 55 is included. Use ≥
The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).
The answer uses ≥
The answer is s ≥ 55
Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
y=3x y=18 solve for x
Answer:
6=x
Step-by-step explanation:
y= 18; y= 3x
18=3x
18/3 = 3x/3
6=x
Hope this helps!
Which statement is true about the transformation?
An
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
-3(f - 8) = 39
Distributive Property
Brainly
(4+3c^5)(4-3c^5) combine like terms
Answer:
16 − 9 c ^10
Step-by-step explanation:
Simplify the expression.
Answer:
-9c^10+16
Step-by-step explanation:
(4+3c^5)(4-3c^5) multiply
(16 -12c^5+12c^5-9c^10) combine and rewrite
-9c^10+16
Determine the measure of ∠Z. images attached
Answer:
The answer is option DStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z
To find the value of ∠Z we use tan
We have
[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]
We have the final answer as
48.24°Hope this helps you
Answer:
the answer is B)41.76
Step-by-step explanation: I took the test
4/-7 + -6/5
In simplest form
See attachment for math work and answer.
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125