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:
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Solve: XXVI - IV. Show your answer in standard form. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V x L lulolz A) 22 B) 20 C) 19
Answer:
22
Step-by-step explanation:
these i can do keep sendin em in
Answer:
22
b/c XXVI - IV
(26 - 4 )
=22
write slope intercept form
Answer:
the slope of parallel lines is =m1=m2
(x + 3)(x-8)
Multiply and simplify
[tex](x+3)(x-8)=x\cdot x+x\cdot(-8)+3\cdot x+3\cdot(-8)=\\\\=x^2-8x+3x-24=\boxed{x^2-5x-24}[/tex]
Step-by-step explanation:
Multiple:
=x^2-24+3x-8x
=x^2-24-5x
=x^2-5x-24
Simplify:
x^2-5x-24=0
(x-8) (x+3) =0
x= 8 x= -3
-2/3y - 3/4 = 5? with work please!
Answer:
-69/8
Step-by-step explanation:
-2/3y - 3/4 = 5
-2/3y = 23/4
y = -69/8
Stefan was baking cookies that called for 2 3/4 cups sugar and 3 1/2 cups flour. About how many total cups of ingredients does Stefan need? Round to the nearest half.
Step-by-step explanation:
Stefan ask ur mom the total cups of ingredients
Someone answer ASAP no image explanations please I can't see those!
Answer: The side length is 3in (inches)
Step-by-step explanation:
Since it's a cube, all the sides are the same.
Formula for cube: L x W x H
= 3 x 3 x 3
= 27in
Find the sum of
2x^2- 8x– 6 and 9x^2-8
Answer:
11x^2-8x-14
Step-by-step explanation:
(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14
Answer:
11x^2-8x-14
Step-by-step explanation:
2x^2- 8x– 6 and 9x^2-8
solution:
2x^2- 8x– 6 +(9x^2-8)
=2x^2-8x–6+9x^2-8
=2x^2+9x^2-8x-6-8
=11x^2-8x-14
if a = (a l i ve) and b= (a c t) then what is a-b
A-B=(a p I v e) -(a c t)
=(p l v e) is the correct answer
24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
Answer:
......................
Help with the length of the third side?
Answer:
C. c = 10
Step-by-step explanation:
You have to use the Pythagorean theorem:
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Answer:
c = 10
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 8^2 = c^2
36+64= c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 -c
Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes
Answer:
5---6
Step-by-step explanation:
Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.
Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.
It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.
That is,[tex]12x-10y=0[/tex].
When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].
It is not possible, since the number package cannot be in decimals.
When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].
This is not possible, since the number package cannot be in decimals.
Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.
What is the sum of 9.8 and 12.05 please i need help
I need helppppp plus!!!!
The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold and the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there?
Answer:
2,172 adults
Step-by-step explanation:
Let adults = x
children = y
x + y = 5400
9.5x + 6.5y = 41,616
Let's use the elimination method to solve this.
Multiply the top equation by -6.5
(x + y = 5400)-6.5
-6.5x - 6.5y = -35100
This will allow us to eliminate the y and add up the other terms
9.5x + 6.5y = 41,616
-6.5x - 6.5y = -35100
3x = 6516
Divide both sides by the coefficient, 3, to isolate the variable, x
3x/3 = 6516/3
x = 2172
if f(X+4) =3x+2 ,then find the value of f(4) please explain our answer in a clear way
[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]
Taking y=x+4 so x=y-4[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]
Hence
[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]
So
[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]
[tex]\\ \sf\longmapsto f(4)=12-10[/tex]
[tex]\\ \sf\longmapsto f(4)=2[/tex]
Answer: 2
hi,
Step-by-step explanation:
[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]
The freshman class is planning a picnic. The cost of a permit to use the park is
$250. To pay for the permit, there is a fee of $.75 for each freshman and $1.25 for
each guest who is not a freshman. Two hundred freshman plan to attend. How many
guests must attend in order to at least pay for the permit? Let g represent the number
of guest attending.
Answer:
80
Step-by-step explanation:
A base angle of an isosceles triangle contains 75º. How large is the vertex angle?
(A) 75°
(B) 30°
(C) 1050
(D) 210°
(E) 40°
r ÷2-p^2 ; use p=-5, and r=2
Answer:
-24 is the answer according to me.
V = (pi r^2 h/3)...solve for h
Answer:
h = (3×V)/ (pi×r²)
Step-by-step explanation:
[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]
[tex]3 \times v = \pi {r}^{2} h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]
What is the meaning,cause and effect of glaucoma
Answer:
Glaucoma is a group of eye conditions that damage the optic nerve, the health of which is vital for good vision. This damage is often caused by an abnormally high pressure in your eye. Glaucoma is one of the leading causes of blindness for people over the age of 60.
Step-by-step explanation:
Hope it does not help Lol ;)
what is 90% of 760 . what is the answer
Answer:
684
Step-by-step explanation:
Since 90% = 0.9
0.9 x 760
Which equals 684
Please mark as brainliest
Answer:
=684
Step-by-step explanation:
90% of 760
90/100 x 760
=684
ALGEBRA REVIEW
What is an easy method to solve for x in a basic algebra problem? Example: 3x + 5x + 8x = 32
Answer:
2
Step-by-step explanation:
3x + 5x + 8x = 32
taking x common,
(3 + 5 + 8)x = 32
16x = 32
x = 32 / 16
x = 2
Answer: See below
Explanation:
The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.
Operations include combining like terms, dividing and multiplying terms, and etc.
I would be solving [3x + 5x + 8x = 32] as an example.
Solve:
Given
3x + 5x + 8x = 32
Combine like terms through addition
8x + 8x = 32
16x = 32
Divide 16 on both sides to isolate x
16x / 16 = 32 / 16
[tex]\boxed {x=2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
(5m-4)/6 -1 = 4m - (3m+10)/2
Solve linear equation
Step-by-step explanation:
figure 1,2 respectively..
-1.4 is your answer
hope it helps
3
(a)
The highest common factor and lowest common multiple of two numbers are
2x 52 x 7 and 22 x 3x 57 respectively. If one of the numbers is 22 x 52 x7, find the
other number. Express your answer as a product of prime factors in index notation.
Find the smallest positive integer p such that 1125xp is both a perfect square
and perfect cube. Explain your answer.
(b)
The answer is in the picture. I haven not finished question (a) since I think there might be a typing error in the question. So, could you check the question again please?
Express the following ratio as a whole number ratios in the simplest form 10cm : 1.5m
Answer:
1/15
Step-by-step explanation:
1.5 m = 100*1.5 = 150 m
so
10/150 = 1/15
factor of -2800 and -2
Step-by-step explanation:
factors of -2 = -1 and -2
factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800
MARK AS BRAINLIST IF IT IS USEFUL
The expression (x - 6)2 is equivalent to
A. x2 - 36
B. x2 + 36
C. x2 - 12x + 36
D. x2 + 12x + 36
Answer:
x^2 -12x+36
Step-by-step explanation:
(x - 6)^2
(x-6)(x-6)
FOIL
x^2 - 6x-6x+36
Combine like terms
x^2 -12x+36
Point Q is on line segment PR
. Given QR=2x+4,PQ=x, and PR=4x-10, determine the numerical length of PR.
Answer:
46
Step-by-step explanation:
PR = PQ + QR
4x - 10 = x + 2x + 4 {Combine like terms}
4x - 10 = 3x + 4 {Add 10 to both sides}
4x = 3x + 4 + 10
4x = 3x + 14 {Subtract 3x from both sides}
4x - 3x = 14
x = 14
PR = 4x - 10 {Plugin x = 14}
= 4*14 - 10
= 56 - 10
= 46
Add.
4.2+(−1.2)+(−2.3)
Enter your answer in the box.
Answer: 4.2+(−1.2)+(−2.3) = 0.7
!!I’LL GIVE BRAINLIEST!! What additional information would you need to conclude that DE is the perpendicular bisector of AC?
Answer:
I believe that the answer is NONE the right angle at B should be enough information to prove that DE is ⊥ to AC
Step-by-step explanation:
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If two triangles are congruent, then the ratio of the corresponding sides will be ONE.
The line DE is the perpendicular bisector of AC. Then we have
In triangles ΔABD and ΔCBD,
DB = DB (Common side)
∠ABD = ∠CBD = 90°
AB = BC (Bisector length)
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
More about the triangle link is given below.
https://brainly.com/question/25813512
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