The first polynomial is:
-3x³ + 2x – 5
Then we add a polynomial p(x) and we get:
-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3
We will find that p(x) = 7x³ + 7x² - 2x + 2
Now let's see how we got it:
Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.
Then we can write:
p(x) = ax³ + bx² + cx + d
Then we have:
-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3
(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) = 4x³ + 7x² – 3
Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:
(-3 + a)x³ = 4x³
bx² = 7x²
(2 + c)x = 0
(-5 + d) = – 3
Now we can remove the variables in all of these equations to get:
(-3 + a) = 4
b = 7
(2 + c) = 0
(-5 + d) = – 3
Now we can solve all of these and find the coefficients of our polynomial p(x).
-3 + a = 4
a = 4 + 3 = 7
a = 7
b = 7
2 + c = 0
c = -2
-5 + d = -3
d = -3 + 5 = 2
d = 2
Then we have:
p(x) = 7x³ + 7x² - 2x + 2
If you want to learn more, you can read:
https://brainly.com/question/11536910
A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?
Answer: 140 sit-ups
Step-by-step explanation:
1 set= 28 sit ups
28 * 5= 140
Answer:
140
Step-by-step explanation:
28 times 5
what is n (AUB) if (A)=25,n(B) = 10 and BCA
Answer:
35
Step-by-step explanation:
It is in the above photo .
What is $4.32 • 20= ???
I have never seen • in a math question before and I looked it up and it didn’t tell me anything. So can someone help me plzzz
cos(-x) = -cosx for all values of x.
True or false?
10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.
Answer:
yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get
85571.5 with decimal include
According to the diagram above how long is the unknown piece
Answer:
17 mm
Step-by-step explanation:
11+? = 28
is the same as
28-?=11
The answer is 17mm.
Please mark me as brainliest if that helped. Thank you! ;)
can anyone help me solve this function please?
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
solve this -8+0.75z=12-0.25z
Answer:
z = 20Step-by-step explanation:
-8+0.75z=12-0.25zTranspose '-8' from LHS to RHS
So,
[tex] 0.75z = 12 + 8 - 0.25z[/tex]
Then transpose '0.25z' from RHS to LHS
So,
[tex]0.75z + 0.25z = 20 \\ 1z = 20[/tex]
So therfore z = 20
Hooe this helps and pls mark me brainliest!
These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?
Answer:
first question
mean = 5.11
median = 6
mean = sum of the terms
number of terms
= 271
53
= 5.11
median is the 27th (arrange lowest to highest number)
conclusion, the median is higher than mean, the answer is B.
sec question
a is the answer
third question
a is the answer
last question
mean = 60838
median = 60000
the answer is B
DUE TONIGHT NEED ANSWER ASAP
Find the value of x.
A. 212
B. 148
C. 74
D. 52
Answer:
D.52
Step-by-step explanation:
i'm probably overcomplicating because i haven't dpne these problems in a while and i don't remember the formula names so sorry if it sounds confusing:
the angle inscribed in the circle has an angle of 64 degrees, so the angle of the minor arc that the inscribed angle creates has an angle of 128 degrees (angle of arc = 2 times angle of inscribed angle'
now using the formula for the tangent lines, x=(major arc-minor arc)/2, the major arc=360-minor arc=360-128=232 so we have (232-128)/2=104/2=52 so x=52 degrees
Answer:
D
Step-by-step explanation:
Draw the central angle from the two tangent points. That angle will be twice the size of 64. So the central angle is 128.
x is the supplement of 128 or 52 degrees. You can show this by proving that the the central angle + x + 90 + 90 = 360
Central angle + x = 180
128 + x = 180
x = 52
Describe a relationship between two sets that you can describe mathematically
Answer:
LOVE and CARING for each other
Step-by-step explanation:
Subtract: 2 -(-6)
I don’t get it at all :/
Answer: 2 -(-6) = 2 + 6 = 8
* (+) - (-) = (+)
If helpful, brainliest please !
Answer and Step-by-step explanation:
If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.
Two minus negative 6. (2 - (-6))
We know from math that when two negative numbers multiply together, they result in a positive.
We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.
-1 * -6 = +6.
Now we have the expression 2 + 6.
Add them together.
2 + 6 =
8
8 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
What is one of the best ways to stop procrastinating and study More
Answer:
use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams
Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
Simplify square root of -200
Answer:
14.1421356i
Step-by-step explanation:
hope it helps
Help anyone can help me do this question 2,I will mark brainlest.
Answer:
see explanation
Step-by-step explanation:
For the triangle to be isosceles it must have 2 equal sides.
Calculate the length of the sides using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (3, 5)
AB = [tex]\sqrt{(3-(-1))^2+(5-2)^2}[/tex]
= [tex]\sqrt{(3+1)^2+3^2}[/tex]
= [tex]\sqrt{4^2+9}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Repeat with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = C (3, - 1)
AC = [tex]\sqrt{(3+1)^2+(-1-2)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex] = [tex]\sqrt{25}[/tex] = 5
Consider B (3, 5) and C (3, - 1)
Since both x- coordinates are 3, this is a vertical line and its length is the difference of the y- coordinates, that is
BC = | - 1 - 5 | = | - 6 | = 6
Then
AB = AC = 5 , BC = 6
Since AB = AC = 5 then the triangle is isosceles
MARKING BRAINLIEST !! using the distance formula falculate the perimeter of the triangle below
a. 27.9 units
b. 24.3 units
c. 25.7 units
d. 28.2 units
Answer:
a
Step-by-step explanation:
i didn't use the distance formula, instead i used the pythagrean theorum. i counted the units for the legs, and made three smaller triangle and solved them to find the lengths of the hypotenuse and the added the three of those together to find the perimiter of the original triangle
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
2 17× 415 find this answer
Answer:
[tex]217 \times 415 \\ \\ \\ \\ \\ \\ \\ = 90055[/tex]
it's was helpful to you ❣️❣️
Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1).
A. (4,4)
B. 12,8)
C. (8,8)
D. (1.4)
Answer:
(1,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(5+-3)/2 = 2/2 =1
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(7+1)/2 = 8/2 =4
(1,4)
Answer:
D. (1.4)
Step-by-step explanation:
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
If mZEDH = 73 and mZDHE = 85° in the diagram below, what is mZHEF? O 338 O 22 O 158 202
Answer:
338
Step-by-step explanation:
ok
Answer this if you can boom bam bop
Answer:
D. $60Step-by-step explanation:
If the amount is equal and each is 20% = $12, then total is:
100% = 20%*5 = $12*5 = $60Correct choice is D
Answer:
60.00
Step-by-step explanation:
20% of 60 = 12 which equals the amount of money Peter has.
So, at $60, he has 20% and $12.00
Which graph shows the function f(x) = x with an input of f(x – 3)?
find the value proportion :x : 35:98:60
Answer:
x/35=98/60
x=7/6
The value of x is 7/6
3. Find the volume of this rectangular prism in cm³
What does the term "cube root" mean?
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
Can someone please help me on this
Answer:
D 150 ft is the length of 5 ft
