help me, asap, please
answer is 19
the explanation is in the attachment
Consider this polynomial, where a is an unknown real number.
p(t) = x^4 +5x^3 + ax^2 - 3x + 11
The remainder of the quotient of P(x), and (x+ 1) is 17.
Braulio uses synthetic division to find the value of a, and Zahra uses the remainder theorem to find the value of a.
Answer:
Brauilo is wrong because he divided by (x+1) instead of (x-1)
Step-by-step explanation:
The remainder Theorem states that
if polynomial f(x) is divided by binomial x-a, the remainder will equal f(a). The factor is positive so the binomial is the same as
which is why we divide by -1, or subsitue -1 into the equation p(x).
The remainder of a polynomial division can be gotten using remainder theorem or synthetic division.
The true statement is: Brauilo did not find the value of a, because he divided by (x+1) instead of (x-1)
From the question, we have the following parameters:
[tex]\mathbf{p(x) = x^4 +5x^3 + ax^2 - 3x + 11}[/tex]
[tex]\mathbf{Divisor =x+ 1}[/tex]
[tex]\mathbf{Remainder = 17}[/tex]
First, we set the divisor to 0.
[tex]\mathbf{Divisor =x+ 1 = 0}[/tex]
So, we have:
[tex]\mathbf{x+ 1 = 0}[/tex]
Solve for x
[tex]\mathbf{x= -1}[/tex]
The above equation means that, the value of x that will be used to test the polynomial is -1
From the question,
Zahra used [tex]\mathbf{x= -1}[/tex]; this is represented as: P(-1)Braulio used [tex]\mathbf{x= 1}[/tex]; this is represented in the synthetic divisionHence, Braulio is incorrect, because he used the wrong value of x
Read more about polynomial division at:
https://brainly.com/question/12011809
A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answer:
the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50
I need help ASAP!!!Only people that know the answer is right thanks
Answer:
700mi cube
Step-by-step explanation:
10x7x10=700mi cube
I just need the numbers anyone help ?
Answer:
See below & pic.
Step-by-step explanation:
Start by plotting the given point. Then use the slope to find two more points. From the given point go up 2 and right 4. GO back to the given point. Go down 2 and left 4. Now you have 3 points. Connect them with a line.
Is a decimal less than a whole number?
(solving rate problems). Michelle can
complete a
landscaping job in 6
days and Danielle
can complete the
same job in 4 days.
Working together, in
how many days
could they complete
the job
They could complete the job together in 2.4 days
The known parameters are;
The number of days it would take Michelle to complete the landscaping job = 6 days
The number of days it would take Danielle to complete the landscaping job = 4 days
The unknown parameter;
The number of days can the job be completed if they work together
The process of finding the solution;
The rate at which Michelle works = 1/6 of the landscaping work per day
The rate at which Danielle works = 1/4 of the landscaping work per day
Method;
Find their combined work rate, from which the time would take them to complete the job together can be found
Let, C, represent their combined work rate
Therefore, we have;
C = (1/6 + 1/4) = 5/12 of the landscaping (work) job/(per) day
The number of days they could complete the, 1, job = 1 job(work)/(5/12 (work)job/day) = 12/5 days = 2.4 days
∴ The number of days they could complete the job together = 2.4 days.
Learn more about unit rate here;
https://brainly.com/question/19605901
9. What is the area of the given triangle? Round to the nearest tenth. (1 point) A 7 cm 38° B 13 cm C Area = cm2
Answer:
Area = 13.5 cm^2
Step-by-step explanation:
When we know 2 sides and the included angle
the area is =(½)ab sin C
where a and b are the side lengths and C is the angle between them
Area = 1/2 ( 13*7) sin 38
Area = 13.48477
Rounding to the nearest tenth
Area = 13.5 cm^2
Simplify (-63) ÷ (-9)
Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 63 and 9 is 9
Divide both the numerator and denominator by the GCD
63 ÷ 9
9 ÷ 9
Reduced fraction:
7/1
Therefore, 63/9 simplified to lowest terms is 7/1.
Step-by-step explanation:
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
Answer: 12
Step-by-step explanation:
16 X 20c = 3.20
12 x 5c = 0.60
total is 3.80
Amy has 12 five c coins.
x²+y²+6x+8y+24=0 asap reply plss.. Sana umabon ng 1 makasagot
Answer:
3
Step-by-step explanation:
5×12÷[-12÷{15+(4-13)}]
Answer:
=5×12÷[-12÷{15+(-9)}]
=5×12÷[-12÷6]
=5×12÷(-2)
=-30
Step-by-step explanation:
What's the answer to this?
Answer:
2, 0, 1
Step-by-step explanation:
In quadratic equations if b^2-4ac is greater than 0, 2 solutions. if equal, 1, if less, 0.
If I have 180$ and a pack of dvds cost 18 how much can I buy
Answer:
10 packs of dvds
Step-by-step explanation:
$180 / $18 = 10 packs
You can buy a maximum of 10 dvd packs
Answer:
you can buy 10 dvds that is thr answer
TWO TEST
23. Evaluate 4b2 for b
= -1/2
4b² when b = -1/2
[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]
Answer:
-4
Step-by-step explanation:
4b x 2 when b = -1/2
1) put -1/2 where b is.
4 x -1/2 x 2
2) solve.
-2 x 2
-4
Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?
Answer:
4000
Step-by-step explanation:
1 ton = 2000 pounds
2 tons = ? pounds
Multiply:
2000 × 2 = 4000
There will be 4000 pounds of crushed stone.
Hope this helped.
Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?
S O L U T I O N :Here, we need to convert the tons into pounds to get the desired result
✪ According to the question :
We know that,
1 ton = 2000 pounds
2 tons = 2(1000 pounds) = 2000 pounds
Hence, she have 2000 pounds of crushed stoneTwo of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Answer:
The third exterior angle is [tex]103^o[/tex]
Step-by-step explanation:
Given
[tex]\theta = 158^o[/tex]
[tex]\alpha = 99^o[/tex]
Required
The third exterior angle [tex](\beta)[/tex]
The exterior angles of a triangle add up to 360 degrees.
So:
[tex]\theta + \alpha + \beta = 360^o[/tex]
Make [tex]\beta[/tex] the subject
[tex]\beta = 360^o - (\theta + \alpha)[/tex]
Substitute known values
[tex]\beta = 360^o - (158^o + 99^o)[/tex]
[tex]\beta = 103^o[/tex]
plz help me ans fast for 10 pts
Answer:
universal set is the right answer
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
Find the area and perimeter of the given plain figure
This shape is the rhombus, then ;
Rhombus area = side length × heightA= b × h
A= Rhombus area
h = height ; b = side length ( length of any side)
h= 3 inch ; b= 4.5 inch ; A=?
A= b × h
A= 4.5 × 3 = 13.5 inch²
____o__o_____
The perimeter of a rhombus = 4 × side of lengthP = 4× a
P = The perimeter of a rhombus ; a = side of length
p= ? ; a = 4.5 inch
P = 4× a
P = 4× 4.5 = 18 inch
I hope I helped you^_^
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
B or A
Step-by-step explanation:
got it right on a test a year ago
(is probably B though.)
The radius of a circle is 5 cm. Find its area to the nearest tenth.
Answer:
78.5
Step-by-step explanation:
πr²
= π×5²
= 25π
= 78.5
given m||n, find the value of x and y
Answer:
x = 145, y = 35
Brainliest, please!
Step-by-step explanation:
y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.
x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145
Evaluate: 2-4 А. =100 В. -8 ОО С. -16 D. 1 16
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
HELP ILL GIVE BRAINLIEST (if its to small click on it and zoom in)
Answer:
The 1st solution
Step-by-step explanation:
all of the values are satisfied.
Algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva.
En promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas
de maíz) su masa es de 106 mg. ¿Cuántos granos de maíz pira se requerirán para obtener una
libra de palomitas de maíz?
Answer:
Step-by-step explanation:
4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
CálculoDado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:
453592 mg = 1 lb453592 / 106 = X4279.16 = XPor lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
Aprende más sobre cálculo en https://brainly.com/question/2193984
find the x- and y-intercept of the graph of -9x+7y=27 . State tour based as a whole number of as a improper fraction in simplest form
answer:
is this cool? or explanation?
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?
Answer:
12,24 etc
Step-by-step explanation:
4 and 6 both go into 12 evenly
4*3 = 12
6*2 = 12
12 is the least common denominator
We could also use 24
4*6 = 24
It is a common denominator, but not the least common denominator
We can use any multiple of 12
