Answers
Answer:
d)
Step-by-step explanation:
the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.
our r here is -1 to get x + 1.
f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2
the remainder is -2.
and since the remainder is <> 0, the binomial cannot be a factor.
Related Questions
How do you use a trend line to make a prediction
Answers
Answer:
Use the trend line to predict the number of Umbrellas sold in a month, if there were 10 rainy days. Draw the vertical line from 10 on the horizontal axis to the trend line. Then, draw horizontal line to the vertical axis from the trend line as shown below. Number of Umbrellas sold in the month is about 9, if there were 10 rainy days.
164449 avatar
I searched your answer and this came up, I'd answer but it wont let me sadly, but hopefully this will help??
Step-by-step explanation:
m
+ 4 = 7
Step One:
Step Two:
Step Three:
Step Four:
ma9
m/3+4+4+7+4
m/3-7
m=21
m/3+4-47-4
m/3*3+4=743
m/3-3
ma17
m/3+4-3=7-3
m/3*3=3*3
m/3+7=4
m=3
m/3+8=11
m/314-4=7
m+4=21
Answers
Answer:
9
Step-by-step explanation:
1. m/3+4-4=7-4
2. m/3=3
3. m/3*3 = 3*3
4. m=9
Answer:
m=9
Step-by-step explanation:
m/3+4-4=7-4
m/3=3
m/3*3=3*3
m=9
answer I'll give brainliest to first one
10 points
Answers
Answer:
Have a splendiferous day...
Step-by-step explanation:
3÷12=¼
6÷10=⅗
7÷14=½
10÷11=⅚
2÷4=½
4÷16=¼
3÷24=⅛
18÷54=⅓
Answer:
1) 3÷12=[tex]\frac{1}{4}[/tex]
2) 6÷10=[tex]\frac{3}{5}[/tex]
3) 7÷14=[tex]\frac{1}{2}[/tex]
4) 10÷12=[tex]\frac{5}{6}[/tex]
5) 2÷4=[tex]\frac{1}{2}[/tex]
6) 4÷16=[tex]\frac{1}4[/tex]
7) 3÷24=[tex]\frac{1}{8}[/tex]
8) 18÷54=[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3
Solve for y in the equation x -4y = -4
Answers
Answer:
y = x/4 + 1
Step-by-step explanation:
x - 4y = -4
x + 4 = 4y
y = x/4 + 1
Answer:
1
Step-by-step explanation:
change to y=mx+b -> 4y=-x+4
divide 4 one the right side
y=4x+1
put zero one place of x
y=4(0)+1
y=0+1
y=1
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
how do i solve this step by step? i dont know how to set up this equation.
Answers
Answer:
Step-by-step explanation:
The two long sides on the left and right and bisected into two equal parts each
That means that since there is an angle in common to the top little triangle and the whole diagram, the little triangle on top and the whole triangle are similar.
The ratio of similarity is 1/2
10/(5x + 5) = 1/2 Cross multiply
(5x + 5)*1 = 10*2
5x + 5 = 20 Subtract 5 from both sides
5x = 20 - 5 Combine
5x = 15 Divide by 5
5x/5 = 15/5
x = 3
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
Answers
Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
How to figure out the equation for this graph?
Answers
9514 1404 393
Answer:
y = x² -6
Step-by-step explanation:
It helps to remember what the coordinates of a point on a graph mean.
(x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis
If we subtract 6 from the y-value, the point will move down on the graph by 6 units.
__
The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...
(x, y) = (x, x²)
When we subtract 6 from the y-value, the points become ...
(x, x² -6)
That is, the new (shifted) value of y is ...
y = x² -6
Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate
Thank you!
Answers
Answer:
104 ft²
Step-by-step explanation:
The area of the rectangle is represented by the following:
8ft x 10 ft = 80 ft
The area of the triangle is represented by the following:
(6ft x 8ft) divided by 2 = 24
By combining the values, you get 104 square feet.
which point lies on the graph of y = -|x| -5?
Answers
Answer:
it is a answer
Step-by-step explanation:
Scarlett has 14 gallons of gas in her car at the beginning of a trip. Every hour Scarlett drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven.
Answers
Answer:N(5)=1.5
Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.
A function relating these variables is Nx=14-2.5
So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.
A cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will she need?
Answers
let x be the flour
now
or,(21/2)+x=42/3
or,(21+2x)/2=42/3
or, 3(21+2x)=42×2
or, 63+6x=84
or,6x=84-63
or, 6x =21
or, x=21/6
thus she need 21/6 cups of flour
5/6 x 15 in simplest form
Answers
Answer:
25/2
Step-by-step explanation:
5/6 x 15=12.5
12.5 in simplest form is 25/2
Taylor’s domain is and range is Thomas domain is and range is
Answers
Step-by-step explanation:
please send your teacher some nice greetings from me, as this problem description is very incomplete.
we have to guess and assume a few things.
I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).
and we are only looking at a single work day. and not a week or a year.
so,
x = Taylor(t)
y = Thomas(t)
remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.
and the range is the interval or set of valid values for the output variable (x and y).
so, the domain for Taylor is the interval of valid work time
[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.
Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)
[0, 8×6] or [0, 480/10] = [0, 48].
the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.
Thomas's range is then (2 per hour or 1 every 30 minutes)
[0, 10×2] or [0, 600/30] = [0, 20]
please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.
Domain defines the input interval and range defines the output interval.
Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.
Whatis domain and range ?Domain defines the input interval and range defines the output interval corresponding to the domain interval.
In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours
in 1/6 hours Taylor makes 1 hat
so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats
so in 8 hours Taylor will make (8 x 6) = 48 hats
Range of taylor = (0,48). .(as in 0 hour he will make 0
hats )
Domain of Thomas is 10 hours = (0,10)
Every pair of mittens take 30 minutes or 1/2 hour
so , In 1/2 hour Thomas makes 1 pair of mittens
In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.
In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.
The range of Thomas is (0,20). .(as in 0 hour he can make no
pair of mittens)
Learn more about Domain and Range here :
https://brainly.com/question/28135761
#SPJ2
Data was recorded for the temperature, in degrees Celsius, of a cup of coffee over a 30-minute period. Given the regression equation, , what is the predicted temperature after 3 minutes?
33.45 oC
62.24 oC
65.17 oC
66.69 oC
Answers
Answer:
62.24
Step-by-step explanation:
The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.
Let T be the temperature and t be the time. Then the regression equation is given as,
ln T = 4.20 - 0.023 t
Then predicted temperature after 3 minutes is given as,
ln T = 4.20 - 0.023 x 3
ln T = 4.20 - 0.069
ln T = 4.131
T = 62.24 °C
The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Find the slope of the line passing through the points (-7.6) and (-7.-2).
Answers
Answer:
Undefined
Step-by-step explanation:
the equation for slope is y2-y1/x2-x1
(-2-6)/(-7-(7))= -8/0
This would leave you with an undefined slope.
Can somone help please and thank you<3
Answers
Answer:
She pays 11.40 for the roast
Find unit rate then multiply
wHaT iS tHe AnWsEr?????????????
2,000 +300000000000000000000000000000000000
Answers
Answer:
3.0 E35
Step-by-step explanation:
Thanks.
If you want someone to do your homework assignments for you (math, English) for a cheap price lmk
Answers
Answer:
I do lol
Step-by-step explanation:
Answer:
why would you wanna do someone's homework on Math and English?
Step-by-step explanation:
they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.
and you will also make yourself tired doing someone's homework what about your responsibilities?
It'll be only beneficial for you but not for them yeah you'll get money but its best if you let them do their homework. I mean homework's aren't that bad.
They just think they can't do it cause their lazy, and they think they wouldn't know the answer. Besides they can't just lay around all day because they paid you for doing their homework, they won't even know if your scamming them.
i rlly need help help me out pls
Answers
Answer:
San francisco
Step-by-step explanation:
once you divide the distance by time then multiply the answer by the longest amount of time (aka 4)
San francisco = 2556
Minot = 1826
Phoenix = 2252
can anyone heelp me pls
Answers
Lotion - liquid
Suspension- semisolid
Capsule- Solid
Hope this helps :)
A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. Find the length of the shorter piece of wire
Answers
Answer:
shorter piece = 6. longer piece = 12
Step-by-step explanation:
short piece = s
long piece = l
l+s= 18
l= 6+s , substitute
6+s+s = 18
6+2s= 18
2s= 18-6
2s= 12
s=12/2
s= 6= shorter piece
l= 6+s
l= 6+6= 12 = longer piece
Help!!!!!! I'll give you brainliest!!!
Answers
Balanced forces result in constant velocity: phase 3
Unbalanced force causes change in velocity: phase 4
The more unbalanced the forces are, the greater the changes in velocity is: phase 5
Hope this helps
What is the first whole number greater than 11?
Answers
Answer:
4
Step-by-step explanation:
The √11 is ≈ 3.3166....
So the first whole number GREATER than 3.3166 is 4
-Chetan K
Answer:
√11 = 3.3166
The first whole number greater than 3.3166 is 4
Hope This Helps!
Hurry!!!
At Smith’s bike rentals it cost $17 to rent a bike for three hours how many hours of bike does a customer get per dollar??
Answers
Answer:
3/17 hours per dollarStep-by-step explanation:
Use the ratio below:
$17 → 3 hours$1 → xSolve for x:
17x = 3x = 3/17Step-by-step explanation:
[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]
[tex]\sf\longmapsto \: \$ 1 = x[/tex]
Now, Solve x–
[tex]\sf\longmapsto17x = 3[/tex]
[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]
Therefore,for 3/17 hours of bike a customer get per dollar.
can you find the lengths and area and type the correct code? Please remember to type in all caps with no space
Answers
Answer:
EGFB
Step-by-step explanation:
To find the lengths of PQ and RS, we can use the Pythagorean Theorem, becasue both triangles have right angles. Base x height equals the area of the rectangle, and base x height divided by 2 gets us the height of the triangle. Thus:
1. 233 meters
2. 21, 840 square meters
3. 241.87 meters
4. 12, 600 meters
Hope this helps.
WHYYY ARE BOTS ON HERE HM HM?!
Answers
Answer:
Well it's because they want children to click there links for either tracking IP address's or just using it to bring you to another site.
Step-by-step explanation:
If 6 things cost $1000, how much does 1 cost?
Answers
Answer:
$166.66
Step-by-step explanation:
if 6 items =$1000
1 item= ?
1item×$1000/6items
=$166.66
pls help me pls, it's due tomorrow!!
Answers
Answer:
110º
Step-by-step explanation:
a triangle has 180º total
so 180-35-35
110
the missing angle in the traingle on top is congruent to angle b
1/4×10/12 simplest form
Answers
Answer:
10/48 - 2/24 - 1/12
Step-by-step explanation:
answer is 1/12