Consider this polynomial, where a is an unknown real number.
Braulio
(a. correctly
b. incorrectly)
found the value of a because he
(a. correctly performed synthetic division
b. should’ve solved the equation a + 14 = -17
c. should have used -1 instead of 1
d. made a mistake in the fourth column of his work )
zahra
(a. incorrectly
b. correctly)
found the value of a because she
(a. incorrectly applied the powers to -1
b. should have substituted 1 instead of -1
c. should have solved the equation a + 18 = -17
d. correctly substituted and evaluated the polynomial)
Answers
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
-1 -4 (4 - a) (a - 1)
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer: incorrectly, should have used -1 instead of 1
incorrectly, incorrectly applied the powers to -1
Step-by-step explanation:
Related Questions
Michael's family was traveling to visit prospective colleges
They drove to the closest college that
interested him, took a tour, and then drove to another
college a little farther from home. The graph shown
represents the situation.
Answers
Answer:
Step-by-step explanation:
Domain is defined by the input values (x-values) on the graph.
Range is defined by the output values (y-values) on the graph.
From the graph attached,
Domain: [0, 5]
Range: [0, 300]
Maximum point of the graph is (5, 300). It denotes that Michael's family took 5 hours to reach the maximum point which is 300 miles from their home.
The price of Stock A at 9 A.M. Was $15.59 Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $16.34 It begins to decrease at the rate of $0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
Prices of the two stocks A and B become same in 42 hours
Step-by-step explanation:
Let t denotes number of hours in which the prices of the two stocks A and B become same.
Price of stock A = $15.59
Increase in price per hour = $0.12 t
Price of stock B = $16.34
Decrease in price per hour = $0.11 (t - 3)
(since price of stock A starts increasing per hour after 9 A.M. and price of stock B starts decreasing per hour after 12 noon that is 3 hours after 9 A.M.)
To find number of hours in which the prices of the two stocks A and B become same, solve [tex]15.59+0.12t=16.34+0.11(t-3)[/tex]
[tex]15.59+0.12t=16.34+0.11(t-3)\\15.59+0.12t=16.34+0.11t-0.33\\0.12t-0.11t=16.34-0.33-15.59\\0.01t=0.42\\t=42[/tex]
So, prices of the two stocks A and B become same in 42 hours
what is the slope if the line is 5y= 10x-15
Answers
Answer:
slope = 2
Step-by-step explanation:
y = mx + b
M is the slope
5y = 10x - 15
y = 2x - 3
2 is the m in this equation
I hope this helped!
Зn + 16 = 7n help pls
Answers
Answer:
n = 4
Step-by-step explanation:
3n + 16 = 7n
Cancel out the 3n by subtracting it from both sides
16 = 4n
Divide both sides by 4 so you are left with n=
4 = n
Answer:
[tex]n=4[/tex]
Step-by-step explanation:
To start off you need to subtract 3n from both sides. That would leave you with:
[tex]16=4n[/tex]
Next, you need to divide both sides by 4, since this equation is equal to [tex]n*4[/tex] and we only want a single n, not multiple. That would give us the answer:
[tex]4=n[/tex]
12 miles below sea level
Answers
Answer:
12 miles below sea level
Step-by-step explanation:
Find the rate of discount being given on a shirt whose selling price is $ 546 after deducting a discount of $ 104 on its marked price.
Answers
What’s the midpoint of GO on a number line from -4 to 4
Answers
Answer:
midpoint is 0
Step-by-step explanation:
hurry !!! i’m so confused!
find f(4)
Answers
Answer:
2 multiplyed + 3.
Can someone help me with this please?
Answers
Answer:
X = 20 degrees
Step-by-step explanation:
so we know that a triangle equals 180 degrees.
We already have 70 degrees so there are 110 degrees left.
Y is a right angle making it a 90 degree angle
110-90 equals 20 making x a 20 degree angle.
HELPPPPP PLEASEEEEEE !!!!!!!A recipe requires x number of cups of flour to produce y number of servings.
Using the table, what is the number of servings per cup of flour?
Answers
Answer:
1 cup of flour = 8 servings
Step-by-step explanation:
3/4 cup of flour=6 serving
3/4 / 4/3=6 / 4/3
1 cup of flour = 8 serving
Tell me two(2) things you know about the pink line?
Answers
Answer:
it's pink in colour
it's a line
it is a linear line and it has a negative value as the line is decreasing from left to right.
Solve for n. 3(n+5)≥3n+8
Answers
Answer:
True for all N
Step-by-step explanation:
Answer:
True for all N :)
Step-by-step explanation:
the graph of g(x) is the graph of f(x)=|x| translated 6 units to the right write the equation of g(x)
Answers
Answer:
f(x)=|x-6|
Step-by-step explanation:
Translation is a shift. Opposite how many units it moved. In with the x because that's side to side. If it was not with the x, it's up and down.
The transformation of a function may involve any change. The equation of g(x) is |x-6|.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given that the function f(x)=|x|, this function is needed to be translated 6 units to the right. Therefore, the new function can be written as,
g(x) = f(x-6)
= |x - 6|
Hence, the equation of g(x) is |x-6|.
Learn more about transforming functions here:
https://brainly.com/question/17006186
#SPJ2
1 3/4= x/32 solve for x
Answers
Answer:
x = 56
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps :)
Answer:
It is 56 if you were to solve for X . It's none of the answers on the screen.
Step-by-step explanation:
Y + 2x = 5 I have to solve for Y please
Answers
Answer:
Y=5-2X
Step-by-step explanation:
Answer:
IF YOU HAVE TO SOLVE FOR Y THEN TAKE X AS ANY NUMBER YOU WANT.
SUPPOSE X=2
PUT THE VALUE IN THE EQUATION THEN U WILL GET-
Y+2(2)=5
= Y+4=5
= Y=5-4
= Y=1
THIS IS JUST ONE EXAMPLE BUT THERE CAN BE INFINITIVE NUMBER OF ANSWERS FOR THIS QUESTION.
I WILL SHOW U ONE MORE EXAMPLE.
IF X=1
THEN THE EQUATION WILL BE-
Y+2(1)=5
Y+2=5
Y=5-2
Y=3
SO HERE WE GOT Y=1&3
AND ALSO Y CAN HAVE INFINITE SOLUTIONS (THIS IS ON THE BASIS OF THE PROPERTY OF LINEAR EQUATION, I.E., A LINEAR EQUATION CAN HAVE INFINITIVE SOLUTIONS)
36 x 79 whats the answer show your work pls
Answers
79×36=2,844 is the multiplied amswer
Express each number as a single-digit integer times a power of 10.
24,755,183,009,522
Answers
help me pleaseeeeeee
Answers
Answer:
A
Step-by-step explanation:
u move the decimal place left 2 spaces and u would get 0.024
A crystal ball with a diameter of 6 inches is being packaged for shipment. If the crystal ball is placed inside a
circular cylinder with radius 3 inches and height 6 inches, how much volume will need to be filled with
4
padding? (The volume of a sphere with radius r is ar?, and the volume of a right circular cylinder with
radius r and height is arh.) Use "pi" for 7.
of padding will be needed.
Answers
b(x) lx+4l
b(-10)
The l on the sides of x+4 arent supposed to be numbers
Answers
Answer:
6
Step-by-step explanation:
i believe it is 6 if the l on the side are for absoulte value, then your answer would be 6
l-10+4l =6
What is the equation of a line perpendicular to y = -5x + 4 that passes through (-10, 6)?
Answers
Answer: y= 1/5 x + 8
Step-by-step explanation:
To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.
- 5 becomes +1/5
Then substitute the y and x values from the given coordinate into the new equation and solve for b
y= mx+b
6=1/5 (-10) + b
6 = -2 +b
8 = b rewrite the new equation and substitute 8 for b
y= 1/5 x + 8
The attached screenshot shows the lines and the point.
The midpoint of AB is M(7,-5). If the coordinates of A are (6, - 7), what are the
coordinates of B?
Answers
Answer:(8,-3)
Step-by-step explanation:
X2=8 Y2=-3
I need help in this one
Answers
Answer:
7/2pi
Step-by-step explanation:
Circumference is
[tex]2r\pi \\ 2 \times 7\pi \\ 14\pi \\ \frac{1}{4} \times 14\pi \\ \frac{7}{2} \pi[/tex]
21 - 3 + 8 or -14 + 31 - 6
Answers
Answer:21-3+8=26
-14+31-6=11
Step-by-step explanation:
Jordan gave out a survey to some students in his school about their favorite color. Students could choose between purple and blue. 96 of those surveyed said their favorite color was purple. 76% of the students surveyed said their favorite color was blue. How many students were surveyed in total?
Answers
Answer:
169
Step-by-step explanation:
i hope this helps
Answer:
398
Step-by-step explanation:
100%-76%= 24% which should be the 96 percent that chose purple
94÷24%= 3.91(4 because it's rounded) students per percentage
4×76%=304 that chose blue if rounded
94+304=398 total
2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
How many students at Hamilton Middle School have red hair?
Answers
Answer:
An estimated 3 out of every 25 men are left handed. Hence, 12 percent(%) of the men are left handed.
Step-by-step explanation:
Whole numbers greater than zero are
Answers
Answer:
Natural numbers, because they consist of 1, 2, 3, etc...
Answer:
integers
Step-by-step explanation:
integers is what it is called
sidawidnianddinhwidnaindianwdawdawd
Answers
Answer:
yes
Step-by-step explanation:
yes
Help please. I will give brainliest.
Answers
Answer:
if you answer my most recent question ill answer this one.
Step-by-step explanation:
Find the instantaneous velcoity at any point if the function is f(x) = 18x - 3x^3 - 1
а 18
b 18- 9x^2
c -18x^2
d -18x^3 - 9
