The graph in the question is missing.
Answer:
y = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]
Step-by-step explanation:
The function is cubic
It has roots as -4, -4 , 6
this means the value of x = -4, -4 , 6 which makes the entire equation zero
so we have solutions as
x+4 = 0
x+4 = 0
x- 6 = 0
on forming a cubic equation using these
(x+4)(x+4)(x-6)
the equation passes through (2,36)
put x = 2
(2+4)(2+4)(2-6) = (6)*(6)*(-4)
which exceeds 36 so we product the equation with -1/4 to get 36
Final equation
y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]
y = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]
Emma is 10 years old. she asked her father how old he is. her father answered, "when you are my age I will be 70." how old is Emma's father.
Answer:
40
Step-by-step explanation:
Emma age: yE = 10 + x (x is timeline)
Father age: yF = A + x (x is timeline, A is Father age today)
in time x1: Emma will be A years old, and Father will be 70 years old.
yE (x1) = 10 + x1 = A
yF (x1) = A + x1 = 70
System of equations with unknown values: x1 and A.
substract equation 1 - equation 2:
10 - A = A - 70 ⇒ 80 = 2A ⇒ A = 40
So, father is 40 years old now
Emma's father is 40 years old
Let the age of Emma father be y
Age of emma = 10 years
In x years time;
Emma age will be 10 + xFathers age will be y + xIf in x1 years time, Emma will be y years old and his father will be 70 years old
Emma age: yE = 10 + x (x is timeline)
Emma's current age will be 10 + x = yHis father;s current age will be y + x = 70
Solving both equations simultaneously;
10 - y = y - 70
10+70 = y + y
80 = 2y
2y = 80
y = 80/2
y = 40 years
Hence Emma's father is 40 years old
Learn more on simultaneous equations here: https://brainly.com/question/16863577
HELP ME FAST NEED PLEAS THANK YOU
Answer:
C
Step-by-step explanation:
Kate is 4 years older than Bob. If the sum of their ages is 28, what are the ages of
Kate and Bob?
Answer:
Kate is 16, Bob is 12
Step-by-step explanation:
Since Kate is 4 years older than Bob, Kate's age is represented by the following equation:
B+4=K
Bob's age is just B
Now, the sum of their ages is 28, which means we add Kate's and Bob's age:
Instead of writing K+B=28, we would write the equation with the same variable:
B+4+B= 28
(B+4= Kate's age)
add like terms
2b+4=28
subtract 4 from both sides
2b=24
divide by 2
b=12
12 is Bob's age and to find Kate's age, we add 4
Kate is 16.
Hope this helps
A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.
Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
Mr. Stokes bought 6 1/2 pounds of meat for a party. He used 2 1/4 pounds of meat to make tacos. The rest he used to make 1/4 pound burgers. How many burgers did Mr. Stokes make?
9514 1404 393
Answer:
17
Step-by-step explanation:
The remaining amount of meat is ...
6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds
The number of 1/4 pound burgers that can be made with that amount of meat is ...
(17/4)/(1/4) = 17/1 = 17
Mr. Stokes made 17 burgers.
HELP FAST PLZ
Cha deposits $200 into an account that pays simple interest at a rate of 6% per year. Huch interest will he be paid in
the 3 years
Answer:
$236 in 3 years
Step-by-step explanation:
PLEASE SOMEONE HELP ILL MARK BRAINLIEST AND 5 STARS
2.1/x+ 1 4/5= 3/10x
Answer:
the answer is .3 or 3/10
Step-by-step explanation:
9514 1404 393
Answer:
x = -1
Step-by-step explanation:
Putting the entire equation in decimal form, we have ...
2.1x + 1.8 = 0.3x
Subtracting 0.3x gives ...
1.8x +1.8 = 0
Dividing by 1.8, we get ...
x + 1 = 0
So, the solution is ...
x = -1 . . . . . . subtract 1 from both sides.
_____
Additional comment
Sometimes, when all of the numbers in the equation are divisible by the coefficient of x, it works out well to do that division before separating variables and constants. The other way this could have been solved is ...
subtract 1.8 ⇒ 1.8x = -1.8
divide by 1.8 ⇒ x = -1
25 POINTS!
-
Solve each equation.
Can someone just solve one and explain it? Thank you.
I am a 4-digit number, identity unknown.
1. My thousands digit is twice my tens digit.
2. My hundreds digit is 1 less than my tens digit.
3. My ones digit is not 0.
4. The sum of my digits is 11.
5. All of my digits are different.
What number could it be?
Answer:
4214
Step-by-step explanation:
four is twice the hundreds which is 2 and the tens(1) is less than two by one and 4 plus 2 plus 1 minus eleven is four
You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price. a. Write and solve an equation to find how much you spend on each CD. Let p represent the price you pay for each CD. Equation: =30.40 You spent $ on each CD. Question 2 b. The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs? No, you will not be able to buy 3 more CDs. Question 3 c. Explain your reasoning for part (b). Each CD costs $ at the regular price, so 3 CDs would cost $ .
Answer:
$7.6 ;
No, you will not be able to buy 3 more CDs
$9.5
$28.5
Step-by-step explanation:
Given that :
Cost of 4 CDs = $30.40
Cost per CD is equal
Sale price = 80% of original price
Price p per CD:
Cost of 4 CDs / number of CDs
$30.40 / 4
= $7.6
2)
No, you will not be able to buy 3 more CDs
If x = original price
80% of x = 7.6
0.8x = 7.6
x = 7.6 / 0.8
x = $9.5
$9.5 * 3 =$28. 5
Hence, $25 can't buy 3 CDs the next day (28.5 > $25)
Find the coordinates of the point where y-4x=1 crosses the y axis
Answer:
(a) (-1/4,0)
(b) k = (10-c)/2
Step-by-step explanation:
(a) A point passing through the y-axis is the same as finding the y-intercept.
[Move terms to right-hand side; y = mx + b form]
y = 4x + 1
[Find x, when y = 0]
0 = 4x + 1
-1 = 4x
-1/4 = x
At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.
(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant
[Find x by plugging in known values]
Using y = 2x + c,
10 = 2k + c
10 - c = 2k
(10-c)/2 = k
Answer:
first one is -1,0
Step-by-step explanation:
i just did it
Which statement can john use this figure to prove?
Answer:
Can you post a picture of the figure?
How many kilograms are in 44 pounds
Answer:
19.9581kg
Step-by-step explanation:
Hmm almost equal to 20kg
In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.
Answer:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches
Answer:
6
Step-by-step explanation:
there were 240 customers yesterday, and 200 today, find the percent change.
The asnwer is:
% decrease
what is 2 + 1 = ? is it 3 or is it 3 because i dont know
Answer: 4
Step-by-step explanation:
ANSWER
3
Explanation
2+1=3
3.
* Write a vector that describes the translation of quadrilateral WXYZ if the coordinates
are W(2,2), X(6,2), Y(2,7), Z(6,7) and the coordinates of W'(5,7).
a <3, 5>
b. <5,3>|
c. <3,5>
d. (3,5)
I sin the quadrilateral fra
4
write as a product: a-b+a^2-B^2
Answer: (a - b)(a + b + 1)
a - b + a² - b²
= (a - b) + (a - b)(a + b)
= (a - b)(a + b + 1)
Step-by-step explanation:
You are given the radius of a circle. How can you find the distance around it?
Answer:
Circumference - 2 * pi * r
Step-by-step explanation:
multiply radius by 2.
multiply by pi
ce no
M Gma
If the radius of this Ferris wheel is 125 feet and the angle between each seat is 36°,
then what is the height of the Ferris wheel seat at point B if the bottom of the wheel is
20 feet off the ground? (Round to the nearest tenth)
Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
PLEASE ANSWER URGENT WILL GIVE BRAINLIEST AND 20 POINTS.
Ken needs to solve the equation below.
4.7 − y = 10.35
Which statement explains the value of y that makes the equation true?
A) –5.65, because 4.7 must be subtracted from both sides before moving the negative sign to the opposite side
B)5.65, because the only step needed is to subtract 4.7 from 10.35
C)–15.05, because 10.35 and 4.7 must be added before moving the negative sign to the opposite side
D) 15.05, because the only step needed is to add 4.7 and 10.35
C[tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Answer my math question I asked so many times I lost most of points by
Answer:
A = -2/3
B = 8
C = -24
Line of symmetry calculation = x = -8/2*(2/3)
Line of symmetry is x = 6
Opens down
Min/man is (6,0)
Vertex is (6,0)
Domain is (-infinity, infinity)
Range is (-infinity, 0)
SOMEONE HELP ASAP !!NEED THIS IN FIVE MINS !! I’ll give brainliest!! Please and ty !!!
Answer:
Expression: [tex]\pi(\frac{D}{2})^{2}h-\pi(\frac{d}{2})^{2}h[/tex]
Volume: [tex]339.29cm^{3}[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is: [tex]\pi r^{2}h[/tex]. Since we are given the diameters instead of the radius, we divide the diameters by 2 to get the radius.
∴ The expression for the volume of the large cylinder after the hole was removed is [tex]\pi (\frac{D}{2})^{2}h - \pi(\frac{d}{2})^{2}h[/tex]
Approximate volume:
Substitute the numbers in:
[tex]\pi(\frac{8}{2})^{2}\times9-\pi(\frac{4}{2})^{2}\times9=339.29cm^{3}[/tex] (to the second decimal place)
∴ The volume of the big cylinder after removing the cylindrical hole is approximately [tex]339.29cm^{3}[/tex]
If you had 1 day to do anything... what would it be?
Answer: Simple. All the things that I could possibly do.
There are many wishes that I hold and with the opportunity given to do anything for one day, who knows what I could do? But one of the most important thing that I would really like to do is to meet someone that I really have wanted to meet for so long. That's one of the things that I'd truly like to do. Another thing is to have as much fun as I can. Be able to go somewhere or to visit something, that would be really nice. of course there are more things that I'd like to do but it would just be too much to list. :)
Answer:
if i had one day to do anything...
Step-by-step explanation:
i'd travel the world go to as many places as possible i'd meet as many pple as possible i'd try as many new things as possible... i'd go sky diving, i'd get a tattoo *alotta tattoos lol* i'd learn to surf, i'd go in a hot air balloon, i'd swim with dolphins, i'd try on wedding dresses, i'd buy Chanel just to show it off, then i'd give it away to some nice less fortunate kid. i'd just do everything on my bucket list yk? thanks for the pt's mate, much appreciated, blessings, xx, nm <3 :)
8. Jocelyn paid to enter the amusement park and lost her receipt! She knows that one ride would
cost her $24.50 and 4 rides would cost her $83.
a. What is the cost per ride? (slope)
b. Write a Next/Now statement for the situation above.
C. Write an equation (y =) for the situation above
Answer:
a) $19.5
b) Next = Now + 19.5
c) y = 19.5x+24.5
Step-by-step explanation:
m=y2-y1/x2-x1
m=83-24.5/4-1
m=58.5/3
m=19.5
b) Next = Now + 19.5
c) y = 19.5x+24.5
B
+
HH
0
What is the sign of B + A?
Choose 1 answer:
Positive
Negative
Neither positive nor negative-the sum is zero.
Answer:
of answer Is A choose 1 answer positive negative neiter positive nor negative - the sum Is zero
Step-by-step explanation:
3x+8>9
x has to equal 1
(if you can please include the steps! i will give brainiest)
Answer:
11>9
Step-by-step explanation:
So you can begin by plugging x=1 into the equation
3(1)+8>9
3*1=3
3+8=11
11>9
Find the circumference and the area of a circle with radius 7ft .
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
C=43.96 ft.
A=153.86 ft.^2
Step-by-step explanation:
for circumference, use C=2πr
for area, use A=π[tex]r^{2}[/tex]
The circumference and the area of a circle with radius 7 feet are 43.96 feet and 153.86 square feet, respectively.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
A circle with radius 7 feet.
Then the circumference of the circle,
= 2πr
= 2(3.14)(7)
= 43.96 feet.
The area of the circle,
= πr²
= (3.14) (49)
= 153.86 square feet.
Therefore, circumference is 43.96 feet and area is 153.86 square feet.
To learn more about the circle;
https://brainly.com/question/29142813
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Type of Meat
Price per pound
Ham
5.25
Roast Beef
3.50
Sausage
4.25
Turkey
3.85
Mike has $20 to spend at Steve’s. He orders ½ pound of Turkey and 2 ¼ pounds of Sausage. How much money will Mike have left after he pays for the order?
ACTUALLY ANSWER THE QUESTION OR YOU WILL BE REPORTED AND BANNED.
Answer:
$8.51
Step-by-step explanation:
3.85*.5=1.925
2.25*4.25=9.5625
20-1.925-9.5625=8.5125
Rounding down, Mike will have $8.51 left over. I am not sure how your teacher likes to handle rounding.
15.9-8.92 I suck at decimals
Answer:
6.98
Step-by-step explanation:
The answer would be 6.98 after subtracting 8.92 from the 15.9 after applying arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The number expression is:
= 15.9-8.92
As we know from the definition of the arithmetic operation: Addition, subtraction, multiplication, and division are the basic operations that make up this system.
In the expression subtract 8.92 from the 15.9
After applying the arithmetic operation:
= 6.98
Thus, the answer would be 6.98 after subtracting 8.92 from the 15.9 after applying the arithmetic operation.
Learn more about the arithmetic operations here,
brainly.com/question/25834626
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