Answers
Answer:
[tex]\displaystyle f(x)=-\frac{2}{3}(x+2)(x-3)^2[/tex]
Step-by-step explanation:
The graph corresponds to a cubic function of the form:
[tex]f(x)=a(x-p)(x-q)(x-r)[/tex]
Where p, q, and r are the zeros of f(x).
We can clearly see there are only two crossings through the x-axis. That is because one of the roots is repeated (multiple).
Thus, the roots are p=-2, q=r=3
Substituting into the function:
[tex]f(x)=a(x+2)(x-3)(x-3)[/tex]
[tex]f(x)=a(x+2)(x-3)^2[/tex]
The value of a can be found by using the y-intercept seen on the graph (0,-12):
[tex]-12=a(0+2)(0+3)^2[/tex]
Operating:
[tex]-12=18a[/tex]
Thus:
[tex]a = -12 / 18 = -2/3[/tex]
The function is now complete:
[tex]\mathbf{\displaystyle f(x)=-\frac{2}{3}(x+2)(x-3)^2}[/tex]
Related Questions
The cost of fencing a square garden at the rate of Rs.5 per
metre is Rs. 2000. Find the total length of the fence.
Answers
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Cost per metre = Rs. 5
Total cost = Rs. 2000
Then total length of the fence = Rs.2000/Rs.5
= 400 metre
Total length of the fence = 400 metre
For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST
Answers
Answer:
Step-by-step explanation:
Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.
Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)
Triangle C - Equilateral triangle because all the sides are equal.
Triangle D - Scalene triangle because all the sides have different lengths.
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent
Answers
Answer:
0.04
Step-by-step explanation:
1680=1500+1500x3xr
1680-1500=1500x3xr
r=180/4500
r=0.04
Answer:
The answer is 4.0 percent
Step-by-step explanation:
I just answered that question and got it right
Please gimme an answer ill give thanks, 5 starrs, and Brainliest if I can
Answers
Answer:
The slope is 5/3
Step-by-step explanation:
Slope is y/x so its 5/3 becuase you go up 5 and over 3. And it's an incline so the slope is positive.
Brainly deleted my answer the first time lol. Please mark brainliest if correct.
please help i’m so close to being done :(
Answers
Answer:39 i dont im 12 ps out
Step-by-step explanation:
A. Samantha
B. none
C. Esther
D. Polly
Answers
Gayla draws a rectangle. Jared then draws a different rectangle by increasing both the length and the width by 5%. Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches. Are any of the resulting rectangles scale drawings of one another? List whose rectangles, if any, and explain how you know..
Answers
1/2
Step-by-step explanation:
Second rectangle and third rectangle are resulting rectangles scale drawings of one another
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Gayla draws a rectangle.
Second rectangle:
Jared then draws a different rectangle by increasing both the length and the width by 5%.
Third rectangle:
Lyda draws a third rectangle by increasing both the length and the width of Gayla’s by 5 inches.
Let us assume 1 inches as 1 percentage.
So second rectangle and third rectangle are resulting rectangles scale drawings of one another
Hence, second rectangle and third rectangle are resulting rectangles scale drawings of one another
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2x to the power 2 minus 5x+6 X=-2
Answers
Answer:
=(x-2)(x-3)
Step-by-step explanation:
This is what I got. I hope this can help you.
Step by step explanation
write the negation of the conclusion of the statement If the game is field hockey, then the game is a team sport.
Answers
You would change it to ”If the game ISN'T field hockey, then the game MAY NOT be a team sport”
find the curved surface area of a cylindrical tank of base radius 30 cm and height 2m
Answers
Answer:
37 700m² (rounded off to 3 s.f.)
Step-by-step explanation:
When the curved surface area of a cylindrical tank is laid out, it will be like a rectangular piece of sheet with the circumference of the base circle as its length and the height as its breadth.
Circumference of base circle with radius 30cm = pi × 30 × 2
= 60pi
2m = 200cm
Curved surface are = 60pi × 200
= 12 000pi
= 37 700m² (rounded off to 3 s.f.)
[tex]{\pink{\underline{\textsf{\textbf{Answer : }}}}}[/tex]
➡️ 37,680m² will be the curved surface area of the cylindrical tank.
[tex]{\purple{\underline{\textsf{\textbf{Explanation : }}}}}[/tex]
Given that, A cylindrical tank of base radius is 30cm and it's height is 2m or, 200cm
We need to find the curved surface area
We know that,
➩ Curves surface area of a cylinder = 2πrh
r (radius) = 30cm.
h (height) = 200cm.
Therefore,
➩ Curves surface area of a cylinder:
➩ 2 × 3.14 × 30 × 200
➩ 2 × 18,840
➩ 37,680 m² ans.
If correct will mark brainliest!!!!
Answers
What's the question--?
Which angles are adjacent angels?
Answers
Answer:
KJL and IJL
Step-by-step explanation:
?!?!?!djsjsj?!?!?!?djsj
Answers
PLEASE HELP ME OML
I HAVE A 13 IN MATH
{WHAT ARE THE ANSWERS TO THE 3 CIRCLED PROBLEMS}
Answers
Answer:
8. Undefined.
9. -3 (Square root of 3)
10. Undefined.
Step-by-step explanation:
For number 8 and 10, you can't take the square root out of a negative number. It's just not possible :)
Answer:
Number 8 is 8.7
Number 9 is -5.2
Number 10 is 8
Ann, Brian and Carol share the cost of a car. Ann pays 25 of the cost, Brian pays 13 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Answers
Complete question :
Ann, Brian and Carol share the cost of a car. Ann pays 2/5 of the cost, Brian pays 1/3 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Answer:
4/ 15
8000
Step-by-step explanation:
A)
Fraction carol paid :
Total fraction = 1/1
Fraction paid by Ann and Brian = (2/5 +1/3)
(2/5 + 1/3) = (6 + 5) / 15 = 11/15
1 - 11/ 15 = 4/ 15
Ann = 2/5 ; Brian pays 1/3
Ann pay 1600 more than Brian
2/5 - 1/3 = (6 - 5) = 1/5
1/5 of amount = 1600
If :
1/5 = 1600
1 = x
1/5x = 1600
x = 1600 ÷1/5
Total amount = 8000
HAIIIIIII PLS HELPPPPPP
dis is confusing -_-
Miguel has $30. He spends $8.00 on a movie ticket, $3.85 for snacks and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has_____dollars left
Answers
Answer:
$16.5
Step-by-step explanation:
$30-$8-$3.85-$1-$1 = $16.5
Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as SO 50 for each nder. The expression 0.50r + 20 represents this situation Evaluate this expression when r = 15 Explain what this value means in terms of the context of Stephanie's visit to the amusement park
Answers
Answer:
Step-by-step explanation:I didn't mean to add
Answer:
$27.50 is the amount of money in total she has to pay.
Step-by-step explanation:
$27.50 means the amount of money total she has to pay for admission fee as well as for each nder.
Need Answer ASAP I ONLY HAVE 5 min.
Answers
Answer:
B
Step-by-step explanation:
The answer is B since after cross multiplying 150 against all of the fractions you get 25.
Answer:
25
Step-by-step explanation
1/5 of 150 is 30
1/3 of 150 is 50
1/10 of 150 is 45
add all that together and get 125
150-125=25
The value of (Square root) 13 i is between _____.
A- 2 and 3
B- 5 and 6
C- 4 and 5
D- 3 and 4
Answers
Answer:
D
Step-by-step explanation
on the calculator it's 3.605551275 but rounding it is 4 so it's in between 3 and 4
3. Use your graphing calculator to find the value of f'(0) for f(x) = cos(x) - eX. (4 points)
Answers
Answer:
-1
Step-by-step explanation:
Derivative of cos(x)=-sin(x)
Derivative of e^x=e^x
Derivative of cos(x)-e^x= - sin(x)-e^x
plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1
0-1=-1
In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU
Answers
Answer:
I need more information.... ??
Step-by-step explanation:
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
Answers
Answer:
9
Step-by-step explanation:
formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]
k is the constant of probability
to find k,
y is 12, x is 6
12 = [tex]\frac{k}{6}[/tex]
so x = 12 × 6
∴ k is 72
so y = [tex]\frac{72}{8}[/tex]
∴ y is 9
Please help me with this question! :)
Answers
Answer:
Y=2x+3 I think i´m not totally sure
Step-by-step explanation:
Need Answer ASAP only 5 min
Answers
Answer: 70
Step-by-step explanation:
1. Divide 528 by 264 to get 2
2. Do 2 times 35 to get 70
soo uh who's good at math i mean really,if you plz tell me everything about it i just wanna get this over with
(I'm dumb btw)
Answers
Answer:
Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )
Step-by-step explanation:
mathematics and social studies and ela and acdemic success and science
Answers
Answer:
is this a question?
Step-by-step explanation:
Answer:
that is a lot of things to be good at
Step-by-step explanation:
Describe the relationship between using the Distributive Property to simplify an expression and to factor an expression. Give an example to justify your answer.
Answers
Answer:
Step-by-step explanation:
To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial. (Remember, the distributive property says that a(b + c) = a • b + a • c.)
To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial
What is Number system?A number system is defined as a system of writing to express numbers.
The relationship between using the Distributive Property to simplify an expression and to factor an expression is given here.
The distributive property tells that
a(b-c)=ab-ac and a(b+c)=ab+ac
It means you can separate the common term and represent it as the factor.
Example 12x+4y
The factors of 12 are 4,3
The factor of 4 are 1,2,4
The common factor is 4.
12x+4y=4(3x+y)
We taken out the common factor and has distributive property.
Hence To factor a polynomial, first identify the greatest common factor of the monomial terms. Then use the Distributive Property to rewrite the polynomial as the product of the GCF and the other parts of the polynomial
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Factor 1.2 out of
1.2x - 7.2
help asap
Answers
Answer: 1.2(x - 6)
Step-by-step explanation:
Because you're factoring out 1.2, you don't need to do anything with 1.2x
Divide -7.2 by 1.2 which is 6.
Put it in your factor equation.
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet per minute. approximately how long will it take to inflate a balloon 2/3 of its maximum volume? use. 3.14 as pie
Answers
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
- 12 x (- 8)
plz help ASAP
Answers
Answer:
Its 96 hope it helped :)
Step-by-step explanation:
Answer:
96x
Step-by-step explanation: (2 negatives make a positive)
1. multiply the common factors first
-12x (-8)
(-12)*(-8) = 96
2. now you bring down the X and multiply X to 96
x(96) = 96x