Answer:
-1.42857
Step-by-step explanation:
Please help me with my question
Answer:
[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]
Given ,[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]
Also According to Question ,on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.
Therefore , putting the value of x as ( x = -2 )
[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]
[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]
also given that..
when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)
putting value of x = 1/2 in equation (1)
[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]
Now , we have equations (2) and (3) as...4a + b = 26... (2)
a + 4b = -56... (3)
multiply equation (2) by 4..16a + 4b = 104...(4)
Solving equations (3) and (4)a + 4b = -56
16a + 4b = 104
- - - ( bc signs are same )solving these equations we get,
-15a = -160
a = -160/-15
a = 32/3
putting value of a in (2) , we get...[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]
hope helpful~
During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .
The price of the bed after the markup is $527.80.
The given parameters:
Discount = 30%Price of the bed, = $580Markup = 30%The price of the bed after the discount of 30% is calculated as follows;
P = $580 - 0.3($580)
P = $406
The price of the bed after the markup is calculated as follows;
P = $406 + 0.3(406)
P = $527.8
Thus, the price of the bed after the markup is $527.80.
Learn more about discount price here: https://brainly.com/question/23865811
When is f(x) when x=-5
Answer:
f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.
What is 35 + 34 ? I cant use calcu pls help me
Answer:
the answer is 69
Step-by-step explanation:
for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question
8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need?
Answer:
2:5 ratio.
for every 2 cups sugar, she needs 5 cups carrots
hope this helps
does anyone know this answer?
Answer:
2x = 40°
3x = 60°
4x = 80°
Step-by-step explanation:
2x+3x+4x = 180°
9x = 180
x = 20
SO
2x = 2(20) = 40°
3x = 3(20) = 60°
4x = 4(20) = 80°
Please help question in pic
someone can help me with this
Answer:
x < -7/3
x [tex]\geq[/tex] 5
Step-by-step explanation:
For the first part:
3x + 10 < 3 subtract 10 from the both sides of the inequation
3x < -7 divide both sides by 3
x < -7/3
For the second part:
2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation
2x [tex]\geq[/tex] 10 divide both sides by 2
x [tex]\geq[/tex] 5
How i can answer this question
Answer:
Your correct Awnsers are A and D
PLEASE HELP ME!!
The pie chart below showshow we annual budget for the passasted Manufacturers Company is divided by department. Use this chant to answer the
(a) Which department accounts for approximately one-third of
the annual budget
Support
Sales
Research
Engineering
Support
Media
Marketing
(b) Appraimately what percentage of the and botinet is
used for Sales and Research combined
Write your answer as a multiple of 10%- that is, 10%, 20%, 30%,
(C) 16% of the annual budget is used for Mariesting,
approximately what percentage is used for Support
2%
09%
18%
300%
Answer:
a) Research
b) 50%
c) 18% (as marked)
Step-by-step explanation:
a)About 1/3 of the chart is covered by the segment marked Research.
__
b)Sales and Research together cover almost half the chart, about 50%.
__
c)The size of the Support sector is about 3 times the size of the Marketing sector. This lets us estimate Support at about 18% of the budget.
Answer based on the information.
1)find the length of DC
2)find the magnitude of ABE
3)find the magnitude of ADC
4)find the magnitude of BCD
Answer:
01)05
02)45°
03)120°
04)60°
Step-by-step explanation:
Have a great day!
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
I need help ASAP …………….
Answer:
for me the answer is y=0.17x+2
not sure
correct me if im wrong
love ya
Step-by-step explanation:
#brainly
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E, ED cắt (O) tại F chứng minh góc BAE = góc CAF
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
7/18÷14/9 don't mind this I need 20 characters
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
-88-3x=-35x-29(x-18)
Answer:
-88-3x=-35x-29(x-18)
-88-3x=-35x-29x-522
-88-3x=-6x-522
-88=-3x-522
424=-3x
x=10
Hope This Helps!!!
Coffee then:45 calories Coffee now:270 calories what is the percent of increase
Answer:
611.111 repeating
Step-by-step explanation:
Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.
Answer:
+600%
Step-by-step explanation:
[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]
hope that helps!
what is the answer of the proportion 8/3 = y/13 round your answer to the nearest tenth
hey i need some help with this one.
Answer:
y = -2x - 8
Here's how I got that:
- You first assign the points -
(-8, 8) → x1 = -8, y1 = 8
(1, -10) → x2 = 1, y2 = -10
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
((-10) - 8)/(1 - (-8))
↓
-18/9
↓
slope = -2
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
8 - (-2) · (-8)
↓
y-intercept = -8
- Put everything together and you get.. -
y = -2x - 8
~That's all folks~
-Siascon
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CD’s?
b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3
Answer:
C
Step-by-step explanation:
40x + 3
Answer:
A y = 3x + 40
Step-by-step explanation:
He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.
So, to find the amount of money he would make in one day your equation should look something like this
y = 3x + 40
y being that amount of money he makes in one day
3 being that amount of money he receives for every delivery
x being the number of deliveries he makes in one day
40 being that amount of money he makes in one day.
_________________________________________________________
Hope this helps!!
Please tell me if I have made a mistake; I enjoy learning from them:)
(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
Answer:
(1 , -2/3)
Step-by-step explanation:
when y =0
3×0-2x=-2
0-2x=-2
divide both side by -2
x=1
when x=0
3y-2×0=-2
3y-0=-2
divide both side by 3
y=-2/3
The primary driver of offshore outsourcing is driven by __________.
Answer:
cost
Step-by-step explanation:
Group Work 2.6 Newton's Law of Cooling states that an object cools at a rate proportional to the difference between the temperature of the object and the room temperature. The temperature of the object at a time t is given by a function f(t)= alpha x^ prime prime +a where a = mc * pi temperature c = initial difference in temperature between the object and the room r = constant determined by data in the problem Suppose you make yourself a cup of tea. Initially the water has a temperature of 95 degrees * C ; 5 minutes later the tea has cooled to 65 degrees * C Problem: When will the tea reach a drinkable temperature of 40°C? Hint: Assume that the room temperature a = 22 degrees * C . First solve for r and then find tapplying the natural logarithm.
Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
Answer:
13.2 minutes
Step-by-step explanation:
We cannot tell what your equation is supposed to be. Usually, the equation will have the form ...
f(t) = c·e^(kt) +r
where c is the initial temperature difference (95 -22 = 73) and r is the room temperature (22). The value of k can be found from the given intermediate temperature and time.
f(5) = 65 = 73·e^(k·5) +22
43/73 = e^(5k)
Taking the natural log gives ...
5k = ln(43/73)
k = ln(43/73)/5 ≈ -0.105852
__
We want to find t for f(t) = 40. Then ...
f(t) = 40 = 73·e^(-0.105852t) +22
18/73 = e^(-0.105852t)
t = ln(18/73)/-0.105852 ≈ 13.227
The tea will be drinkable after 13.2 minutes.
__
In the attached, we have used exponential regression to find the equation of the temperature curve.
Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer:
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
1.4 is the answer
Step-by-step explanation: Hey I didn't get an A on my test but i got this one right
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
i need help with this i dont know how to do it...
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]