Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Please help find volume of cone
Answer:
5275.2 m³
Step-by-step explanation:
We need the radius first:
[tex]\sqrt{l^2- h^2}[/tex] = 12
Formula for volume = πr²*h/3
Volume = 3.14 * 144 * 35/3
Volume = 5275.2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help me quick…
20- +3
21- -7
22- +4
23- 8
24- 4
ask your teacher for further guidance because explaining negatives is difficult for me
Answer:
20) - 2+5
= 3
21) 8+(-15)
=8 - 15
= - 7
22) - 10 +14
= 4
23) 6-(-2)
=6 +2
= 8
24) - 16-(-20)
= - 16 +20
= 4
Step-by-step explanation:
This is step by step explanation
Please Mark me brainlist
Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the line. True or false?
Answer:
The statement is true.
Step-by-step explanation:
Let the two points are (x', y') and (x'', y'').
The equation of line passing through the two points is
[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]
So, it is true to find the equation of line when the two points is given.
A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?
Answer:
35 metres
Step-by-step explanation:
The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second
Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.
time taken by A = [tex]\frac{D}{1.25}[/tex]
time taken by B = [tex]\frac{D-7}{1}[/tex]
equating both together, we have
[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]
1.25D - 8.75 = D
1.25D - D = 8.75
0.25D = 8.75
D = 8.75/0.25
D = 35
What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth.
Answer:
483.87yd^2
Step-by-step explanation:
Given data
Height= 4yd
Radius= 7yd
The expression for the surface area of a cylinder is given as
Surface area= 2πr (4+ 7)
Surface area= 2*π*7 (4 + 7)
Surface area = 14π (11)
Surface area= 154*3.142
Surface area= 483.87yd^2
Hence the surface area is 483.87yd^2
Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). (5 points)
Question 8 options:
1)
14 square units
2)
15 square units
3)
18 square units
4)
20 square units
Answer: 2) 15 square units
Step-by-step explanation:
The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) which is correct option (2)
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
Given that a triangle ABC with altitude CD.
The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2)
Given that the distance between C and D will be the height of the triangle
Since, the distance between the points by using the distance formula:
= √ (x₂ – x₁)² + (y₂ – y₁) ².
height = √ (-4 – 0)² + (-2 – 0) ²
height = √20
base = √45
Area of triangle = (1/2)base x height
Area of triangle = (1/2)√20×√45
Area of triangle = (1/2)30
Area of triangle = 15 square units
Hence, the area of the triangle is 15 square units if the triangle ABC with altitude CD
Learn more about distance between two points here:
https://brainly.com/question/15958176
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Sierra says that she can simplify the side of the inequality shown by combining the terms within the parentheses but that she can't do the same thing on the side. Is Sierra correct? Explain.
Answer:
Yes, Sierra is correct
Step-by-step explanation:
Given
[tex]4(y + 7) > -3 (4 + 5)[/tex]
Required
Is she correct
The right parenthesis has 4 + 5.
This can be simplified as: [tex]4 + 5 = 9[/tex]
So, we have:
[tex]4(y + 7) > -3 (4 + 5)[/tex]
[tex]4(y + 7) > -3 *9[/tex]
The left parenthesis has y + 7.
This cannot be simplified because y is a variable and 7 is a number.
Hence, Sierra is correct.
Recall what you know about similarity. If circle B is similar to circle A, what must exist?
The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.
Given that:
Circles A and B
To prove the similarities of the two circles, the radius of both circles must be known.
Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].
The similarity of both circles is proved using:
[tex]r_A = k * r_B[/tex]
or
[tex]r_B = k * r_A[/tex]
where k represents the scale of dilation
Hence, the radius of both circles must exist for the circles to be similar.
Read more about circle similarities at:
https://brainly.com/question/403891
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
Help please i forgot the options on the last one sorry
Hi there!
»»————- ★ ————-««
I believe your answer is:
The x-intercept of the graph is -7. (or (-7, 0). )
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]
⸻⸻⸻⸻
Option B is a false statement.
⸻⸻⸻⸻
We can tell with the point (-7,0) that the 'x' intercept of the function is -7.
⸻⸻⸻⸻
The line does not pass (7,0), making option C a false statement.
⸻⸻⸻⸻
The line also does not pass (-1, -8), making option D a false statement.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)
Answer:
[tex]y=-3(x-5)^2+4[/tex]
Step-by-step explanation:
Hi there!
Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:
[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value
1) Plug the vertex into the equation
[tex]y=a(x-h)^2+k[/tex]
Plug in the vertex (5,4)
[tex]y=a(x-5)^2+4[/tex]
2) Solve for a
[tex]y=a(x-5)^2+4[/tex]
Plug in the given point (3,-8) and solve for a
[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]
Subtract 4 from both sides
[tex]-8-4=4a+4-4\\-12=4a[/tex]
Divide both sides by 4
[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]
Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:
[tex]y=-3(x-5)^2+4[/tex]
I hope this helps!
Select all of the following that are equivalent to 1 10,000 1 A. (10,000) B.(-10,000 D c. 100) ( O D. (10)
Answer:
A. 10,000
Step-by-step explanation:
A. is 10,000, so it is equivalent to 10,000
B. -10,000 No
C. 100 No.
D. 10 No.
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
Answer:
Find the volume of this prism.
Answer:
24% or d
Step-by-step explanation:
what is the average rate of change from x equals negative 1 to x equals 1
Answer:
This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.
If we have a function f(x), the average rate of change between the values:
x = a and x = b,
is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
So if we want to find the rate of change from:
x = -1 to x = 1
it is just:
[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]
So just to show an example, if:
f(x) = 3*x^2 - 5
the average rate of change in that interval will be:
[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]
can someone help me with this problem!
C. -1
Hope this helps! :)
______________
Answer:
-1
Step-by-step explanation:
Simplify the real and imaginary parts of the expression. That’s probably as simple as i can get it.
Hope this helps! :)
Round 187.890 to the nearest 10 000
Answer:
190,000
190,000
190,000
Step-by-step explanation:
190,000
190,000
Find the solution(s) to the system of equations represented in the graph.
A. (0, 3) and (3, 0)
B. (0, 3) and (−3, 0)
C. (0, −3) and (3, 0)
D. (0, −3) and (−3, 0)
Answer:
(-3,0) and (0,3)
Step-by-step explanation:
The solution to the system of equation is where the two graphs intersect
The intersect at two points
(-3,0) and (0,3)
determine the equation of the circle graphed below
( help please )
9514 1404 393
Answer:
(x +2)^2 +(y -5)^2 = 9
Step-by-step explanation:
The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).
The equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
For the given center and radius, the equation is ...
(x +2)^2 +(y -5)^2 = 9
Find m 22 in the figure below.
95°
2
72°
Answer:
<2= 23°
Step-by-step explanation:
180°- 95°= 85°
(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)
To find <2
180- (85°+ 72°)
(Angles on a triangle adds up to 180°)
180- 157
= 23
If a1 = 6 and an = 3 + 2(an-1), then a2 equals
no links
Answer:
15
Step-by-step explanation:
Given that a1 = 6
an = 3 + 2(an-1),
Substitute n = 2 into the formula
a2 = 3 + 2(a1)
a2 = 3 + 2(6)
a2 = 3+12
a2 = 15
Hence the second term of the sequence is 15
On the number line below, length
AB = [?]
A
В
16
45
Answer:
29
Step-by-step explanation:
45 - 16 =
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
70
Step-by-step explanation:
the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft
the area of a parallelogram can simply be calculated by multiplying the base length by the height
hence, area = 7 * 10 = 70
Answer: 10 times 7
Step-by-step explanation: 10 times 7
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
How do I do this ? no links please
Hey there!
ASSUMING….
-14.4 = -1.2m
-1.2m = -14.4
DIVIDE -1.2 to BOTH SIDES
-1.2m/-1.2 = -14.4/-1.2
SIMPLIFY IT!
m = -14.4/-1.2
m = 12
Therefore, the answer should be:
m = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which of the following number patterns uses the rule below
Each number in the pattern is four times the previous number
A.6,24,48,72
B.7,21,63,189
C.5,20,80,320
D.4,20,100,500
DO NOT ANSWER IF YOUR NOT AT ACE LEVEL
The answer to the question is C. 5,20,80,320
Step-by-step explanation:
5*4=20
20*4=80
80*4=320
i need help with this plz
Answer:
-4 is the correct answer
Answer:
y=18
Step-by-step explanation:
equation:y=3x -7
x=7 then y =?
substitute the vale of x in the equation
y=3x-7
y=3*7-7
y=21-7
y=18
therefore the value of y corresponds to 7 is 18.
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?
Answer:
740
Step-by-step explanation:
42% of 1761 = 0.42 * 1761 = 739.62
Answer: 740
What is 16.99 times 0.80
Answer:
Hi, there your answer is 13.592
Step-by-step explanation: