Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Your answer should be a polynomial in standard form.
(5w^2 + -3w + -4) (4w^3)
Answer:
20w^5 - 12w^4 - 16 w^3
Step-by-step explanation:
20w^5 - 12w^4 - 16 w^3
PLS HELP NEED TO PASS TEST <3!!!!
find the surface area of the cylinder to the nearest whole number. the figure is not drawn to scale.
905 in^2
1,282 in^2
2,187 in^2
7,691 in^2
Answer:
[tex]A=2\pi rh+2\pi r^2=2*\pi *12*17+2*\pi *12^2= 2187in^2[/tex]
Step-by-step explanation:
Answer:
2,187 in^2
Step-by-step explanation:
A=2πrh+2πr^2
=2·π·12·17+2·π·12^2
≈2186.54849
Which is the correct equation for the line given the following information: m = -3 b= -5
A spinner marked with four sections blue, green, yellow, and red was spun 100 times. The results are below. Find the experimental probability of landing on green? *
Answer: 25% maybe
100/4=25
Answer:
It would be 25%.
Step-by-step explanation:
Since there are four colors, the probability would be 25 out of 100. This can be turned into 1/4. therefore 1/4 equals 25.
Simplify (2^3)^–2. 70 points
a. -1/64
b. 1/64
c. 2
d. 64
Answer:
1/64
Step-by-step explanation:
(2^3)^-2
= 1/((2^3)^2)
= 1/2^6
= 1/64
---
Hope this helps! :) If so, please mark my answer as brainliest!
The right answer is 1/64
please see the attached picture for full solution
Hope it helps.....
Evaluate functions
х
h(x) = 17+
6
h(-18) =
Answer:-1.277778 i think
Step-by-step explanation:
i think this means h(x) = (17+6)÷x
in which case h(-18) = (17+6)÷(-18) = -1.2777778
would help if you put the question in standard format
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A) V = π(3.5h)2
B) V = π(7h)2
C) V = π(3.5)2h
D) V = π(7)2h
Answer:
The volume of a cylinder is given by the equation:
V = π(R)^^2*h
where π = 3.14, R is the radius and h is the height.
If in the image we see that the radius is 7, then the correct option is D.
If in the image we shee that the DIAMETER is 7 (a linea that goes from end to end of the circle and goes trough the middle) then we know that the radus is half of the diameter, 7/2 = 3.5
in this case he correct option is C.
Answer:
There is no image included, so I cannot give a direct answer. However, you should be able to figure out the answer after my explanation.
Step-by-step explanation:
‼️now pay attention in order to get this question correct‼️
Well, this is a simple problem, since you don’t necessarily need to solve it. First, you need to know the formula of volume for a cylinder. This is: V = πr²h.
Figure out π. Π is a number too long to be written, so we found it up to 3.14.
π = 3.14
Now figure out the radius, for r. This, isn’t my problem to solve because I don’t have a picture of the cylinder so I cant determine so.
The equations don’t specify any height written, so we don’t have to solve for h yet.
This is your job now. So far, I’ve only figured out π, now find the radius, take that number, and fit it in the parentheses. V = π(_)²h. That’s it. Now look at the options, and pick the option that matches what you’ve already written.
I hope I’ve helped, taking time to write this... but I hope you wouldn’t mind brainliest lol c: take care and have a nice day!
help asap will mark brainliest
Answer:
76
Step-by-step explanation:
Alternate interior angles
Answer:
76
Step-by-step explanation:
NEED HELP it’s a mastery grade!!
Answer:
2.49
Step-by-step explanation:
Answer:
2.49
Step-by-step explanation:
first u do 13.96 divde by five then to check it do 2.49 x 5
Simplify (2a – 5)2 using the square of a binomial formula.
Question 20 options:
A)
4a2 – 20a + 25
B)
4a2 – 25
C)
4a2 – 10a + 25
D)
4a2 + 25
Answer:
B
Step-by-step explanation:
0-o
Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?
Answer:
14
Step-by-step explanation:
25-11 = 14
Please, someone, help me quickly!!
Answer:
(B)
Step-by-step explanation:
The value of 9 is more than the value than 4.
Therefore,
9 > 4.
4 is not greater than 9, and nine is not less than four.
Brainilest Appreciated!
Tim has read 40% of a book. He has 36 more pages to finish. How many pages are there in the book?
Answer:
60 pages
Step-by-step explanation:
1)100%-40%=60%(left to read)
2)So, 60%-36p.
40%-(x)p.
3)60x=40*36
60x=1440
x=24(pages he has already read)
4)24+36=60 pages in total
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.
Answer:
3^5 = 243 square feet
Step-by-step explanation:
Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:
1. Multiply powers:
A = 3² * 3³
2. Expand each power:
A = (3*3) * (3*3*3)
3. Simplify:
[tex]A = 3^5[/tex]
The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.
The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
The complete sentences are actually the way to solve the question and can be completed as mentioned below:
A rectangle with a length of 3 cubed feet and a width of 3 squared feet.
Find the area.
1. Multiply powers: Area = 3² · 3³
2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)
3. Simplify: Area = [tex]\bold{3^5}[/tex]
The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.
Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
Learn more about the Area:
https://brainly.com/question/1631786
Which values are solutions to the inequality below
Check all that apply
Determine if these matrices are inverses by
calculating AB
B
12
AB =
LC21 C22
C12 =
C11 =
021
C22 =
inverses of one
So the matrices
another
Answer:
Now calculate BA:
d11= 1
d12= 0
d21= 0
d22= 1
Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE
Step-by-step explanation:
Egde
Using Identity, find the value:
i) 203 x 205
Plss I NEED HELP!!! T^T
Step-by-step explanation:
203*205
(200+3)*(200+5)
200²+200(5+3)+15
40000+3000+15
403015
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ASAP
Answer:
7x=42
Solve:
7x=42
7x=42/7
/7
x = 6
6 is the maximum cost lisa can spend for each party favor bag.
Is (3, 2) a solution of -8x – 2y < 6?
Answer:
yes
Step-by-step explanation:
To determine if the point is a solution, substitute the coordinates into the left side of the inequality, evaluate and compare with right side.
- 8(3) - 2(2) = - 24 - 4 = - 28 < 6
Thus (3, 2) is a solution
Answer:
Yes.
Step-by-step explanation:
Let's substitute x = 3 and y = 2 into the inequality:
-8(3) - 2(2) = -28 which is less than 6 so it is a solution.
(6+7) +5 =6+(3+5) true or false
Answer:
False
Step-by-step explanation:
13+5=6+8
18=14
false
Answer:false
Step-by-step explanation:(6+7) +5 is 18 but 6+(3+5) is 14
Problem situation:
Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20≥8+4.99x
Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answer:
20 - 8 = 12
12 = 4.99x
12/4.99 = 2.404
she can get 2 snacks
A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimeter and area of the square.
Can some help me thank you
The ? of a right triangle are the sides that are adjacent to the right angle.
What is the ratio of the volume of Cylinder A to the volume of Cylinder B? if cylinder a has the height of 4 and radius of 3 and cylinder b has the the height of 3 and radius of 4
Answer:
3/4
Step-by-step explanation:
Cylinder A
V = πr^2h
V = π(3)^2(4)
V = 36π
Cylinder B
V = π(4)^2(3)
V = 48π
36π/48π
3/4
i dont understand someone plz help
Answer:
V = 1815.8 mm^3
Step-by-step explanation:
Okay so this is a tricky one, thats why i decided to help. The first thing you need to do is find the volume of the hemisphere, the formula to do this is 2TTr3 / 3. when you input the values, solve, and round to the nearest tenth you get approximately 718.4 mm^3. The next step is to find the volume of the cone, the formula for volume of a cone is πr^2h/3. When you input the values, solve, and round to the nearest tenth you get approximately 2534.2 mm^3. The third and final step is to subtract the volume of the hemisphere from the volume of the cone, and when you do that you get V = 1815.8 mm^3.
Hope this helps!
Please mark as brainliest ;)
From the moment the first car started how many hours will it take the second car to catch up to the first
Answer:
HELP
Step-by-step explanation:
Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?
Hey there! Welcome to Brainly! I'm happy to help you!
When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.
h=10 (the height is 10)
b=h/2 (base is half as long as the height)
We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!
b=10/2
b=5
So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!
10(5)=50
Therefore, the area of the sticker is 50 cm².
I hope that this helps! Have a wonderful day!
HELP ME PLEASE!!!
I don't understand how to work this out....
If possible please explain/work it out either on text or with a picture!
Answer:
..
Step-by-step explanation:
<B = <D = 61 (AB parallel with DE)
61 = 2x
x = 30.5
A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2
Answer:
6 in.2Step-by-step explanation:
