Answers
Answer:
see explanation
Step-by-step explanation:
Expand the factored form and compare coefficients of like terms with the original polynomial
a(x + 1)(x - 2)² + b(x + 2) + c
= a(x + 1)(x² - 4x + 4) + b(x + 2) + c
= a(x³ - 4x² + 4x + x² - 4x + 4) + b(x + 2) + c
= a(x³ - 3x² + 4) + b(x + 2) + c ← distribute parenthesis
= ax³ - 3ax² + 4a + bx + 2b + c
Compare x³ terms
ax³ with 2x³ , then a = 2
Compare x terms
bx = - 3x , then b = - 3
Compare constant terms
4a + 2b + c = 6
4(2) + 2(- 3) + c = 6
8 - 6 + c = 6
2 + c = 6 ( subtract 2 from both sides )
c = 4
Thus a = 2, b = - 3, c = 4
Related Questions
What’s the value for 2.3 + 4.09 =n
Answers
n = 6.39
Explanation:
2.3 + 4.09 = n
6.39 = n
Swap the sides of the equation
n = 6.39
can someone please help
Answers
Answer:
They are congruent.
Step-by-step explanation:
They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place
Solve for r 4/r 5/7
Answers
Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down on the purchase?
Answers
I just found 60 percent of 520,000 so I hope that’s what you wanted, and I am truly sorry if it isn’t.
which number line represents the solution to the inequality (will make brainliest) pls help
Answers
Answer:
C
Step-by-step explanation:
because the solution dors not include -3 but everything less than.
Which of the following is the value for x?
Answers
Answer:
67
Step-by-step explanation:
heat can be produced by - two things
Answers
PLZ HELP DUE TODAY ILL MARK BRAINLIEST IF U GIVE AN EXPLANATION
What is the area of the shaded region of the right triangle below?
A. 25 m
B. 353 m
C. 225 m
D. 15 m
Answers
Answer: x = 15
Step-by-step explanation:
Answer:
C. 225 m
Step-by-step explanation:
Through observation, you can see the first side of the triangle is 8 and the hypotenuse is 17.
From here, you can use the Pythagorean theorem to find x.
Pythagorean theorem: a² + b² = c²
(with a and b being side lengths, and c being the hypotenuse length)
So, if you plug your values in, you get: x² + 8² = 17²
Next, solve for x:
x² + 8² = 17²
x² + 64 = 289
x² = 225
x = 15
Now that you have x you can solve for the area of the shaded region, which would be base time height, or 15 × 15.
You should get 225 m as your final answer.
very urgent can someone please solve thank you
Answers
Answer:
RP= 15.3 km (3 s.f.)
Step-by-step explanation:
Please see the attached pictures for the full solution.
What is the slope of the line parallel to y = ¼x - 7
Answers
Answer:
1/4
Step-by-step explanation:
the slope of a parallel line is always the same slope.
b=
b=
\,\,(\sqrt[3]{36}) ^3
(
3
36
)
3
Answers
The measure of an angle is 142.5°. What is the measure of its supplementary angle?
Answers
Answer:
37.50°
Step-by-step explanation:
The sum of both sides of an angle is 180°.
180° - 142.5° = 37.50°
True or false: This is a linear function.
Answers
Answer:
True
Step-by-step explanation:
On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?
Answers
Answer:
30 first-class tickets were sold and 260 coach tickets were sold.
Step-by-step explanation:
Let a first-class ticket be represented by f and let a coach ticket be represented by c.
On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:
[tex]f+c=290[/tex]
The total income was $95,280. Therefore:
[tex]680f+288c=95280[/tex]
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
[tex]85f+36c=11910[/tex]
From the first equation, we can subtract f from both sides:
[tex]c=290-f[/tex]
Substitute:
[tex]85f+36(290-f)=11910[/tex]
Distribute:
[tex]85f+10440-36f=11910[/tex]
Simplify:
[tex]49f=1470[/tex]
So:
[tex]f=30[/tex]
From the previous equation:
[tex]c=290-f[/tex]
Substitute:
[tex]c=290-30=260[/tex]
30 first-class tickets were sold and 260 coach tickets were sold.
Last month, Margo bought a tree that grows 2.5 \text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text each day. It was 5 \text{ cm}5 cm5, start text, space, c, m, end text tall when she bought it and now it is 65 \text{ cm}65 cm65, start text, space, c, m, end text tall.
Answers
Answer:
equastion: 5+2.5d=65
days: 24
Step-by-step explanation:
got it right on khan, sorry if late
HELP ME ASAP PLEASEE
Answers
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Start by narrowing the equasions down, add all the numbers together:
1s + 1s + 1s + 1s = 4s
4s = 4s
Both equasions are equivelent to 4s, so the answer would be True.
If you had trouble understanding that, here is another way:
First lets set a control number for s, like 3. then we are going to place the control into the equasion:
1(3) + 1(3) + 1(3) + 1(3)
4(3)
Now solve:
1(3) + 1(3) + 1(3) + 1(3) = 12
4(3) = 12
Both equasions are equivelent to 12, so the answer would be True, they are equivelent.
Find the missing number.
____ × 4 = 52
Answers
Divide 52 by 4 which gives you 13. 13 x 4 = 52
Answer:
13
Step-by-step explanation:
Divide the product by the given factor and you will get the missing factor
Help pls ASAP
The population of rabbits in a local park reserve can be modeled by the function r(x) = 25250(1.08), where t represents the number of years.
Which statement is true based on the function?
Answers
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
PLEASE I need this ASAP I beg you someone help
Answers
Answer:
UH, id say B
Step-by-step explanation:
you are right the answer is a.
The price of a necklace was reduced from $30 to $21. By what percentage was the price of the necklace reduced
Answers
Answer:
= 30% decrease
Multiply the radical expression
Answers
Answer:
Step-by-step explanation:
(√x + √3)(√x + 2√3) = (√x)² + 3√3√x + 2(√3)² = x + 3√(3x) + 6
PLEASE HELP!!!!! Which graph represents the solution to this set of inequalities?
TYSM! :)
(A,B,C,or D??)
Answers
Answer:
a is the answer
Step-by-step explanation:
.......................
HELP❗️❗️❗️❗️❗️❗️
Students observed a plant left by a window over several days. The pla
was watered daily. After three days, the plant began to grow towards
the window as shown above.
Which of the following best explains the student's observations?
Answers
Answer:
The plant is responding to the stimulus of the sunlight.
1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 10? Show your work.
Answers
Answer:
increases by 1 each time
Step-by-step explanation:
3, 4, 5
**65 POINTS PLEASE ANSWER SOON**
If the fourth term of an Arithmetic sequence is 48 and the third term is 36...
(A) What is the first term?
(B) What is the twelfth term?
Answers
Answer:
1st term is 12
12th term is 144
Step-by-step explanation:
48-36=a4-a3=a1 so a1 is equal to 12 now to get from a3 to a4, you must add 12, so d=12.
a12=12+11*12=12+132=144
integrate the following:
[tex] \displaystyle \int \: \tan(x) \cos(x) \: dx[/tex]
Answers
Answer:
[tex] \huge \boxed{\red{ \boxed{ - \cos(x) + C}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:integrationPEMDAStips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \sf \displaystyle \int \sin(x) \: dx = - \cos(x) + C[/tex]let's solve:[tex] \sf \: rewrite \: \tan( \theta) \: as \: \dfrac{ \sin( \theta) }{ \cos( \theta) } : \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cos(x) } \cos(x) \: dx \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cancel{\cos(x) }} \: \cancel{ \cos(x)} \: dx \\ = \displaystyle \int \: \sin(x) \: dx[/tex][tex] \sf \: use \: the \: formula : \\ \sf \displaystyle - \cos(x) [/tex][tex] \sf add \: constant : \\ - \cos(x) + C[/tex][tex]\text{And we are done!}[/tex]
Answer:
-cosx+c is your answer
Step-by-step explanation:
[tex] \displaystyle \int \: \tan(x) \cos(x) \: dx[/tex]
[tex] \displaystyle \int \: \sin \: x \div \cos(x) \times \cos(x) dx [/tex]
[tex] \displaystyle \int \: sinx \: dx \\ - \cos(x) + c[/tex]
can anyone help me with (a) please 50 points and brainliest
Answers
Answer:
8
Step-by-step explanation:
Two Pythagorean triples are (6, 8, 10) and (8, 15, 17)
Both of these right triangles share a common side, 8. While the hypotenuses are 10 and 17.
The other side must add up to 21, which 15 and 6 do.
You are shopping and find a coat that is on sale for 30% off . It is regularly priced at $80 . Your friend tells you that she saw the same coat for $ 80 in another store, but it was 20 % off plus an additional 10% off . Will you save money by going to the other store ? Explain why or why not .
You are shopping and find a coat that is on sale for 30% off . It is regularly priced at $80 . Your friend tells you that she saw the same coat for $ 80 in another store, but it was 20 % off plus an additional 10% off . Will you save money by going to the other store ? Explain why or why not .
Answers
Answer:
No
Step-by-step explanation:
Because if the coat is 20% with an additional 10% off that would equal 30% which is equal to the 30% off at the current store so they're both giving out the same deal
Answer:
No, because %30 is taking more off a higher number. Rather than only taking %20 off of it than the %10 is taking off an amount on a smaller amount resulting in it taking off less.
Step-by-step explanation:
$80 * 0.3 (%30) = $24
$80 - $24 = $56
$80 * 0.2 (%20) = $16
$80 - $16 = $64
$64 * 0.1 (%10) = $6.4
$64 - $6.4 = $57.6
Mica translated Polygon C two units to the right and then reflected the image across the y-axis to get Polygon T. Sasha used one transformation to transform Polygon C to Polygon T. Describe the transformation that Sasha used.
Answers
Answer:
i hi k u r so weak i. maths
it's a simple question
Answer:
She did a 90° rotation clockwise.
Step-by-step explanation:
As u see if u did a reflection it would be at the same area but on the other side but if u do a 90° rotation clockwise it'll be at the same exact spot as Shape T. Is this really a highschool question??...
HELPP MEE PLEASEEEE!!!
Answers
Answer:
1) 2
2) -2
3) -8
4) -2
Hope this helps!