Answer:
1st : 8
2nd: 8
3rd: equal to
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The remainder of the polynomial when divided by x + 2 is -60.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6 divide by x + 2.
Now,
x + 3 ) 2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6 ( 2x³ - 2x² - 5x + 18
2[tex]x^{4}[/tex] + 6x³
(-) (-)
-2x³ - 11x² + 3x - 6
-2x³ - 6x²
(+) (+)
- 5x² + 3x - 6
-5x² - 15x
(+) (+)
18x - 6
18x + 54
(-) (-)
-60
We see that,
The remainder is -60.
f(-2) = 2[tex]x^{4}[/tex] - 4x³ - 11x² + 3x - 6
f(-2) = 2 x 16 + 32 - 44 - 6 - 6 = 32 + 32 - 44 - 12 = 64 - 56 = 8
Thus,
The remainder of the polynomial when divided by x + 2 is -60.
Learn more about polynomials here:
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Find the area of a rectangle with base 4ft and height 4 in.
Hey there!
Answer:
A = 192 in²
Step-by-step explanation:
Base = 4 ft
Height = 4 in
Convert the length of the base to inches:
4 ft = 4 ×12 = 48 in
Formula for the area of a rectangle: A = l × w (in this instance, 'l' is the height)
4 × 48 = 192 in²
Answer:
A =192 in^2
Step-by-step explanation:
Change the 4 ft to inches
4 * 12 = 48 inches
A = l*w
A = 48*4
A =192 in^2
One number is 11 less than the other number. If their sum is increased by 8, the result is 71. Find the numbers.
First number = [tex]x[/tex]
Second number = [tex]x-11[/tex]
[tex]x+x-11+8=71[/tex]
[tex]2x-3=71[/tex]
[tex]2x=71+3[/tex]
[tex]2x=74[/tex]
[tex]x=37[/tex]
First number = [tex]x=37[/tex]
Second number = [tex]x-11=37-11=26[/tex]
A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars
Answer:
35 dollars (0.08)
Step-by-step explanation:
35 + 8%, taxes are most likely in cents
Answer:
35 dollars (0.08)
Step-by-step explanation:
A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?
A.35 dollars (0.08)
B.35 dollars (8)
C.35 dollars (0.08) + 35 dollars
D.35 dollars (8) + 35 dollars
because i just took the test and i got 94.3 and this question is right.
Hopefully this helps.
Balu and Pumba shared 2/3 of a cake. Balu got to eat three times as much cake as Pumba. What fraction of the whole cake did Balu eat?
Pleas answer help and answer correctly.
Answer:
In fraction, Balu ate 1/2 of the whole cake
Step-by-step explanation:
Balu and Pumba shared 2/3 of a cake.
Balu eats three times as much cake as Pumba.
So let's take the 2/3 they shared as a whole.
Let's Balu share be x
And pumbs share be y
X = 3y
But x + 3y = 2/3
Since x = 3y
Y = x/3
x + x/3 = 2/3
4x/3 = 2/3
X = (2*3)/(4*3)
X = 2/4
X = 1/2
Balu ate half of the whole cake
In fraction, Balu ate 1/2 of the whole cake
Which of the following is an arithmetic sequence?
2.4.8. 16.
2.4.-6.8.
-8, -6,-4,-2
Answer:
-8,-6,-4,-2 is an Arithmetic sequence, because there common difference is 2.
52 is what percent of 93?
Answer:
55.9139785%
Step-by-step explanation:
Is means equals and of means multiply
52 = P * 93
Divide each side by 93
52/ 93 = P
.559139785
Change to percent form
55.9139785%
Two positive numbers have a difference of 8. The larger number is three more than twice the smaller. Find the two numbers.
Answer:
5 and 13
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 2x+3, and the difference is ...
(2x+3) -(x) = 8
x = 5
The two numbers are 5 and 13.
_____
Check
Twice the smaller number is 10. 3 more than that is 13, the larger number. Their difference is 13 -5 = 8.
Help needed please!!!!!!!!
Olivia recorded the prices of 10 paperback books and 10 hard cover books. Her data is shown.
Paperback: $6.99, $7.49, $12.99, $9.99, $5.99, $8.99, $9.99, $10.00, $3.99, $4.99
Mean: 8.14
Hard cover: $9.99, $12.99, $34.99, $16.99, $15.00, $19.99, $9.99, $10.99, $18.99, $24.99
Mean: 17.49
Which statement is true given the data?
Answer:
C
Step-by-step explanation:
In a random sample survey 75 people at a high school football game 60 people said that they wanted the home team to win there a total of 600 people at the football game how many people would predict do you want the home team to win based on the survey
Answer:
480
Step-by-step explanation:
The currency in Bolivia is the Boliviano. The exchange rate is approximately $1 = 8 Bolivianos. At this rate, how many Bolivianos would you get if you exchanged $3?
Answer:
24 bolivianos
Step-by-step explanation:
$1=8b
$3=?
Cross multiply: ($3*8)/1 =24
In △ ABC, ∠C = 57° and ∠A = 103°. Side CB= 6.5 cm. Draw △ A′B′C′ under the same condition as △ ABC. Leave all construction marks as evidence of your work, and label all side and angle measurements(use text box). What can you conclude about △ ABC and △ A′B′C′? Justify your response.
Answer:
ΔA'B'C' is congruent to ΔABC
Step-by-step explanation:
See attached for the construction of ΔA'B'C'. (The vertices are labeled ABC.)
We computed angle B to be ...
∠B = 180° -∠A -∠C
∠B = 180° -103° -57° = 20°
We constructed segment BC of length 6.5. Then we constructed angles of 20° and 57° from B and C, respectively. The location where the rays from those angles cross is point A', and the angle there is 103°, as required.
__
ΔA'B'C' is congruent to ΔABC by the ASA congruence postulate.
Mr.Rice students ran a 40 yard dash in the following times 6.8,7.3,7.1 ,7.0,7.2,7.3,7.0 how many race times are recorded
The number of race times recorded as portrayed by the number of data points is seven(7).
What is the number of race times recorded for the dash?From the task content;
It follows that the distance ran be Mr. Rice students was 40 yards.Additionally, it follows from the task content that the times recorded were; 6.8,7.3,7.1 ,7.0,7.2,7.3 and 7.0.
On this note, the number of race times recorded as portrayed by the number of data points is seven(7).
Read more on data points;
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Choose the following which is COMPLETELY correct:
Answer:
D
Step-by-step explanation:
Mean = (4+4+5+8+9) / 5
30 / 5
6
Median = put them in order and the one in the middle is the median.
4, 4, 5, 8, 9
Mode = the most common
4, 4, 5, 8, 9
verify clairaut's theorem for u=e^xysiny
3. (05.01)
A pair of linear equations is shown below:
y = -x + 1
y = 2x + 4
Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)
On a graph, plot the line y = -x + 1, which has y-intercept = -1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of
Intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept - 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of
intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = -2 and slope = 2, and write the coordinates of the point
of intersection of the two lines as the solution.
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of
intersection of the two lines as the solution.
Answer:
On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Step-by-step explanation:
Each equation is in slope-intercept form:
y = mx + b . . . . . where m is the slope, and b is the y-intercept
The first equation is ...
y = -x +1
so the slope is -1, and the y-intercept is +1.
__
The second equation is ...
y = 2x +4
so the slope is 2, and the y-intercept is 4.
__
The slopes and intercepts are properly described in the last selection.
In a poll sponsored by Nick's Corn Farm, 1300 randomly selected adults were asked to select their favorite vegetable. The favorite choice from the poll was corn on the cob, which was selected by 40% of the respondents. What is wrong statistically
Answer:
The fact that two variables are correlated does not necessarily mean that one causes the other.
Step-by-step explanation:
We must start from the fact that there are two variables in the exercise and according to what they tell us they are related to each other, but statistically speaking the fact that two variables are correlated does not necessarily mean that one causes the other, therefore this would be statistically wrong.
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
Since opposite angles of a quadrilateral inscribes in a circle add up to 180°
So,
<P + <N = 180°
2x+2x-12 = 180°
4x = 180+12
4x = 192
Dividing both sides by 4
x = 48
Now
<P = 2(48)
<P = 96
Now
<N = 2(48)-12
<N = 96-12
<N = 84
work out the weekly mean number of 50 kg bags of flour used in these 5 weeks
Kim is a baker, she buys flour in 50kg bags.
weeks 1 2 3 4
NO of bags of flour 7 14 8 13
Kim will make 2400 loaves in week 5
Each of these loaves will need 250g of lour
Kim works out weekly mean number of 50kg bags of flour used in these 5 weeks.
she will use the figure for future orders.
Answer:
Weekly Mean Number of 50-kg bags =10.8 bags
Step-by-step explanation:
In Week 1, Kim uses 7 50kg bags of flour
In Week 2, Kim uses 14 50kg bags of flour
In Week 3, Kim uses 8 X 50kg bags of flour
In Week 4, Kim uses 13 X 50kg bags of flour
In Week 5, Kim will make 2400 loaves.
Each of these loaves will need 250g of flour.
Total Mass of flour that will be used =2400 X 250=600,000 grams
[tex]600,000$ grams=600,000 \div 1000$ kg =600kg\\Number of 50-kg bags =600 \div$ 50 =12 bags[/tex]
In Week 5, Kim will use 12 bags.
Therefore:
Weekly Mean number of 50kg bags of flour used in these 5 weeks.
[tex]=\dfrac{7+14+8+13+12}{5}\\\\ =\dfrac{54}{5}\\\\=10.8 \\ \approx 11$ bags[/tex]
what does a obtuse angle measure between
Answer:
90° and 180°
Step-by-step explanation:
An obtuse angle is any angle larger than 90° and smaller than 180°
A shop has 4 types of sweets (chocolate, taffy, gummies, and cookies), 2 types of snacks (chips and crackers), and 3 types of drinks (sodas, juice, and sports drinks).
Mystery boxes are put together that randomly combine 1 sweet, 1 snack, and 1 drink.
What is the probability that a mystery box contains chocolate, chips, and juice?
Answer:
1/24
Step-by-step explanation:
1/4*1/2*1/3 = 1/24
Write down five numbers with a mode of 6.
Answer:
6 4 5 6 7
Step-by-step explanation:
The mode would be 5. The first 2 letters of MODE are MO, which can be an abbreviation for MOST OFTEN.
What is the square root of -1?
uhh there is no such thing because -1 isn't a perfect square.
What is the difference of the polynomials? (–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)
Answer:
-6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵
Step-by-step explanation:
(–2x³y² + 4x²y³ – 3xy⁴) – (6x⁴y – 5x²y³ – y⁵)=
–2x³y² + 4x²y³ – 3xy⁴ – 6x⁴y + 5x²y³ + y⁵=
-6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵
A certain car can travel on a highway for 350 miles on 15 gallons of gas and in a city for 280 miles on 18 gallons of gas. If the car uses twice as many gallons for city driving as for highway driving, what is the car's average number of miles per gallon? Express your answer to the nearest whole number.
Answer:
The car's average 18 number of miles per gallon
Step-by-step explanation:
The car has different efficiencies depending if its used on highway or city streets.
The efficiency on a highway is:
[tex]E_h=\dfrac{350}{15}\;\text{miles/gal}=23.33\;\text{miles/gal}[/tex]
The efficiency for city driving is:
[tex]E_c=\dfrac{280}{18}\;\text{miles/gal}=15.56\;\text{miles/gal}[/tex]
We now that the car uses twice as many gallons for city driving as for highway driving. This means that, for every gallon consumed, 2/3 are for city driving and 1/3 are for highway driving.
Then, we can calculate how many miles makes the car on average as:
[tex]E=\dfrac{1}{3}E_h+\dfrac{2}{3}E_c\\\\\\E=\dfrac{1}{3}\cdot 23.33+\dfrac{2}{3}\cdot15.56=7.78+10.37=18.15\;\text{miles/gal}[/tex]
select the statements and number line that can represent the inequality.
Answer:
every equivalent to 6 ≤ x
Step-by-step explanation:
We can subtract 5+11/6x to get ...
7 ≤ -(11/6)x +3x = (7/6)x
Multiplying by 6/7 gives ...
6 ≤ x
__
When x is in the set of real numbers, x in any real number that is 6 or more.
When x is in the set of integers, x is any integer that is 6 or more: {6, 7, 8, ...}.
When no set is specified, the solution is simply ...
6 ≤ x
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
D. It would be less steep.
Step-by-step explanation:
→When the absolute value of the number in front of x is greater than 1, the function on the graph narrows. When the absolute value of the number in front of x is less than 1, the function on the graph widens.
In this case, the number is less than 1, making it grow wider. And as a result of it growing wider, it also becomes less steep.
1)Twelve years ago Jane was five times as old as Anne. In three years time,Anne will be half Jane's age How old is each girl at the moment
Answer:
Step-by-step explanation:
Twelve years ago Jane was five times as old as Anne.
J-12=5(A-12)
In three years time, Anne will be half of Jane's age.
A+3=1/2(J+3)
Simplify and solve this system of equations:
J-12=5(A-12)
A+3=1/2(J+3)
What is the mixed number3 3/8 as a fraction
Answer: Mixed Number to Fraction
Mixed Numbers to Improper Fraction
Mixed Numbers Improper Fraction
3 3/4 15/4
3 3/8 27/8
3 8/9 35/9
Hope this helps!!
what is 12/5 as a mixed nunber
Answer:
2 2/5
Step-by-step explanation:
12/5
5 goes into 12 2 times
12 - 5*2
12-10 =2
There is 2 left over. This goes over the denominator
2 2/5
Find the coordinates of the other endpoint of the segment, given its midpoint M and one
endpoint Q.
M(c,n), Q(h,s)
The second endpoint is P
Answer:
P(2c - h, 2n - s )
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane
then midpoint is given by (x1+x2)/2 , (y1+y2)/2
_________________________________________________
in the problem midpoint is m(c,n)
one point is Q(h,s)
let other point be P(x,y)
By using midpoint formula given above
for point P(x,y) and Q(h,s)
midpoint = (x+h)/2, (y+s)/2
also midpoint is m(c,n)
comparing m(c,n) with (x+h)/2, (y+s)/2
c = x+h/2
=> 2c = x+h
=> 2c - h = x
n = (y+s)/2
=> 2n = y+s
=> 2n - s = y
Thus, second endpoint is P(x,y) = P(2c - h, 2n - s )
