Answers
Completing the synthetic division, first bring down the leading coefficient:
-1| 2 7 5
2
Now multiply this by the divisor, -1, and write it under the 7:
-1| 2 7 5
-2
2
Now add the two values in the middle, 7 and -2:
-1| 2 7 5
-2
2 5
Multiply the 5 by the -1:
-1| 2 7 5
-2 -5
2 5
Add the 5 and -5:
-1| 2 7 5
-2 -5
2 5 0
This corresponds with an answer of 2x+5 and remainder of 0.
Related Questions
Factor completely 2x3 + 10x2 + 4x + 20.
2(x3 + 5x2 + 2x + 10)
2[(x + 5)(x2 + 2)]
(2x + 10)(x2 + 2)
(x + 5)(2x2 + 4)
Answers
= 2(x^3 + 5x^2 + 2x + 10)
= 2[x^2(x + 5) + 2(x + 5)]
= 2[(x+5)(x^2 + 2)]
answer
2[(x + 5)(x^2 + 2)]
Answer:
Step-by-step explanation:
Alright, lets get started.
The given expression is :
[tex]2x^3+10x^2+4x+20[/tex]
taking 2 common factor
[tex]2(x^3+5x^2+2x+10)[/tex]
[tex]2(x^3+2x+5x^2+10)[/tex]
[tex]2[(x+5)(x^2+2)][/tex]
So, the correct answer is option B : answer
Hope it will help :)
what is the value of B in the equation y ^ b ^ 4 equals 1 / y ^ 24
A) -20
B)-6
C)6
D)20
Answers
Step-by-step explanation:
y^b^4=1/y^24
y^b^4xy^24=1
b^4y^25=1
b^4=1/y^25
√b^4=√1/y^25
b=√1/y^25
It's B. -6
apparently i have to write at least 20 characters so,,,, sorry yall.
A rectangular bathtub is 5 1/2 feet Long, 1 1/2 feet wide, and 3 feet high. Daniel fills the tub to a depth of 2 feet. What is the volume of the water in the tub?
Answers
[volume of a rectangular prism]=L*W*H
for
L=5 1/2 ft-----> (5*2+1)/2----> 11/2 ft
W=1 1/2 ft----> (1*2+1)/2----> 3/2 ft
H=2 ft
so
volume of the water in the tub=(11/2)*(3/2)*2---> 16.5 ft³
the answer is
the volume of the water in the tub is 16.5 ft³
What is the decimal equivalent of the fraction?
4/30
A) 0.13⎯⎯⎯⎯
B) 0.13
C) 0.1⎯⎯3
D) 0.13⎯⎯
Answers
4 ÷ 30 = 0.13 (3 goes on forever)
I am assuming the answer is A) 0.13 ---------------------
because the line is longer.
Answer:
Option A [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{4}{30}[/tex]
To find : What is the decimal equivalent of the fraction?
Solution :
Step 1 - Write the fraction
[tex]\frac{4}{30}[/tex]
Step 2 - Divide the numerator by denominator,
[tex]\frac{4}{30}=0.13333...[/tex]
or [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Therefore, Option A is correct.
Numbers 37 and 39. I’m not sure how to solve them
Answers
You can get this by dividing 3/4 by 2.
The key to doing these types of problems is remembering that if they are going faster by that much, it doesn't matter what the speeds are. You can treat it as if one is standing still and the other is going 2mph.
help me pls with the answers pls, identify each pair of angles as complementary,supplementary, or neither
Answers
2. Supplementary
3. Supplementary
4. Complementary
40 + 2x = 90
2x = 50
x = 25
5. Supplementary
6x + 60 = 180
6x = 120
x = 20
2. Supplementary
3. Complementary
sorry i am not sure about 4 and 5.
LAST QUESTION!! PLEASE HELP!
Answers
8. yes a diameter is a chord. A chord is any line that connects 2 points on a circle
if cos a = 3/5 in the first quadrant, what does cot a equal
Answers
then:
a=arccos 3/5
but
cot θ=1/tan θ
thus to evaluate our vale we shall obtain the value for height since
adjacent=3
hypotenuse=5
thus
using Pythagorean theorem:
c²=a²+b²
hence
5²=3²+b²
b²=25-9=16
b=4
thus
tan θ=opposite/adjacent
tan a=4/3
thus
cot a=1/(4/3)=3/4
Final answer:
To find cot a when cos a = 3/5 in the first quadrant, we first determine the length of the opposite side using the Pythagorean theorem, which gives us 4. Subsequently, cot a is calculated as the ratio of the adjacent to the opposite side, resulting in cot a = 3/4.
Explanation:
If cos a = 3/5 in the first quadrant, we use trigonometric identities to find cot a. First, recognize that in a right triangle, the Pythagorean theorem states a² + b² = c². Given cos a = adjacent/hypotenuse = 3/5, and the fact that we are in the first quadrant (where all trigonometric values are positive), we can solve for the opposite side using the Pythagorean theorem.
Let the opposite side be b, the adjacent side (corresponding to cos a) be 3, and the hypotenuse be 5. The equation becomes b² + 3² = 5² which simplifies to b² = 25 - 9 = 16, giving b = 4.
We know that cot a = adjacent/opposite = cos a / sin a. Thus, sin a = b / hypotenuse = 4/5. Therefore, cot a = 3/4.
[WILL GIVE BRAINLIEST]
15 machines work at the same rate.
Together, the 15 machines can complete an order in 8 hours.
3 of the machines break down after working 6 hours. The other machines carry on working until the order is complete.
In total how many hours does each of the other machines work
Answers
Jennifer works in a flower shop on Saturday she started work at 8:45 a.m. she spent 3/4 hours at lunch she finished at 4:15 p.m. how many hours did she work on Saturday?
Answers
3.45pm to 4.15pm = 30 minutes
3/4 hours = 45 minutes
7 hours 30 mins minus 45 minutes = 6 hours 45 minutes
Answer : She worked 6 hours 45 minutes on Saturday.
Hope this helps. - M
At what position does the ball have its maximum potential energy
A) a
B) d
C) f
D) g
Answers
So it is D the highest point of the trajectory.
What’s $54.00 for 3 tickets in unit rate
Answers
The function f(x) = 68(1.3)x represents the possible squirrel population in a park x years from now. Each year, the expected number of squirrels is ____ the number the year before. A. 3 times B. 1.3 times C. 3 more than D. 0.3 times
Answers
It is 1.3 times more than the year before. (APEX)
Perry divides up some candy to give equally to his six friends. If c represents the total amount, write the expression to represent how much candy each friend receives.
Answers
c needs to be divided by 6 to evenly distribute the candy with all 6 friends.
The expression is c÷6.
Hope this helped.
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72 mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm
Answers
The triangle inequality states that for any triangle, the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
case A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
D. 81 mm, 7 mm, 77 mm
The correct option is B. 81 mm, 7 mm, 72 mm could be the lengths of the sides of a triangle.
To determine if a set of numbers could be the lengths of the sides of a triangle, the Triangle Inequality Theorem must be satisfied. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply this theorem to each set of numbers:
A. 81 mm, 7 mm, 6 mm
- The sum of the two smallest sides is 81 + 6 = 87 mm, which is greater than the third side, 7 mm. However, the sum of the two smallest sides, 7 + 6 = 13 mm, is not greater than the largest side, 81 mm. Therefore, these lengths cannot form a triangle.
B. 81 mm, 7 mm, 72 mm
- The sum of the two smallest sides is 7 + 72 = 79 mm, which is greater than the third side, 81 mm. This set satisfies the Triangle Inequality Theorem.
C. 81 mm, 7 mm, 88 mm
- The sum of the two smallest sides is 81 + 7 = 88 mm, which is equal to the third side, 88 mm. According to the Triangle Inequality Theorem, the sum must be strictly greater than the third side, so these lengths cannot form a triangle.
D. 81 mm, 7 mm, 77 mm
- The sum of the two smallest sides is 7 + 77 = 84 mm, which is greater than the third side, 81 mm. However, the sum of the two smallest sides, 81 + 7 = 88 mm, is not greater than the third side, 77 mm. Therefore, these lengths cannot form a triangle.
Based on the Triangle Inequality Theorem, the only set of lengths that can form a triangle is option B: 81 mm, 7 mm, 72 mm.
there are 50 instruments in lincoln middle orchesha if 1/2 of the instruments are strings. how many strings are in lincoln orchestra
Answers
Find the area of the trapezoid.
A) 18 cm2
B) 22.5 cm2
C) 27 cm2
D) 45 cm2
Answers
Answer:
27 cm2
Step-by-step explanation:
The answer is 27 cm 2 because if you use length x base x height you would get your answer. So 6 x 3 x 3 = 54 and then if you divide that by 2 you would get 27
Answer:
the answer is C), 27 cm2
Step-by-step explanation:
A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π .
Answers
As hamster wheel is circular so for revolution we will find the circumference.
Diameter of the Hamster wheel = 8.5 in
One revolution of the wheel = circumference of the wheel
Circumference = π × d
π = 3.14 and d = 8.5
So, Circumference = 3.14 × 8.5
Circumference = 26.69 in
So in one revolution the hamster wheel travels a distance of 26.69 in
Kevin had 6 nickles and 4 dimes in his pocket. If he took out one count and then a second coin without replacing the first coin-
what is the probability that both coins were nickels?
what is the probability that both coins were dimes?
what is the probability that the first coin was a nickel and the second a dime?
Answers
P(2 Nickels): 6/10 x 5/9 = 30/90 (1/3 chance)
P(2 Dimes): 4/10 x 3/9 = 12/90 (4/30 chance)
P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)
In this detailed answer, the probabilities of drawing two coins from Kevin's pocket - with 6 nickels and 4 dimes - are explained. The probabilities of both coins being nickels and dimes are 0 due to the lack of replacement, while the probability of one nickel and one dime is 4/15.
To calculate the probabilities of drawing coins from Kevin's pocket, where he has 6 nickels and 4 dimes:
Probability both coins are nickels: Since each draw affects the remaining number of nickels and dimes, the probability is 0.
Probability both coins are dimes: Similarly, as the draws are not independent, the probability here is also 0.
Probability of one nickel and one dime: Since Kevin has 6 nickels and 4 dimes, the probability of drawing a nickel first is 6/10 (6 nickels out of 10 coins) and drawing a dime second is 4/9 (4 dimes remaining out of 9 coins), which equals 24/90 or 4/15.
Alfonso went to famous Sam’s appliance store
Answers
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3)by letting x=3 in both expressions. What is the value of each expression when x=3
3 and -20
4 and 4
-20 and -20
3 and 4
Answers
-4x-8
-2 (x + 1) -2 (x + 3)
Evaluating x = 3 in both expressions we have:
-4 (3) -8 = -12 - 8 = -20
-2 (x + 1) -2 (x + 3) = -2 (3 + 1) -2 (3 + 3) = -2 (4) -2 (6) = -8-12 = -20
Answer:
the value of each expression when x = 3 is:
-20 and -20
A recipe for dessert calls for 2/4 cup of powdered sugar and 1/6 cup of brown sugar . What is the total amount of sugar needed for the recipe
Answers
A student has successfully passed 60 percent of the 20 quizzes he has written so far. If the student writes 50 quizzes during the year, and successfully passes 80 percent of the remaining quizzes, what is his percent success rate for all his quizzes for the entire year? help
Answers
Answer:
74.29%
Step-by-step explanation:
A student passed 60%, or a proportion of 0.60 of the 20 quizzes he's written so far. This means he has passed [tex]0.60*20=12[/tex] quizzes so far.
Now he has written 50 quizzes and passed 80% of them, or [tex]50*.8=40[/tex] quizzes.
To find the success rate, take the number of quizzes passed and divide by total number of quizzes.
[tex]\frac{Passed}{Total}[/tex]=[tex]\frac{12+40}{20+50}[/tex]=[tex]\frac{52}{70}[/tex]=.7429
To get a percentage, multiply this proportion by 100 to get 74.29%
write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?
Answers
20 - 1.25 = 18.75
18.75/.75 = 25 games
To honor 50 years of business, All Strikes Bowling is having an anniversary special. The game he can bowl is 25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To honor 50 years of business, All Strikes Bowling is having an anniversary special.
Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes.
Charlie can bowl 25 games.
= 20 - 1.25
= 18.75
So, he can bowl game
= 18.75/ 0.75
= 25 games
Learn more about the unitary method;
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Dirk can clean a playground in 5 hours. Geralyn can clean a playground in only 4 hours. Which of the following can be used to determine the amount of time it would take for Dirk and Geralyn to clean a playground together?
Answers
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?
Answers
It is given in the question that
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.
Total distance is 625 meters and total time taken is
[tex] (10+15) minutes=25minutes [/tex]
Average speed is
[tex] \frac{total \ distance \ travelled}{total \ time \ taken} [/tex]
[tex] = \frac{625}{25}meter/minute = 25 meter/minute [/tex]
Answer:
25 minutes
Step-by-step explanation:
according to the graph........
Answers
The solution is:
H(w) gets very small when w gets very large .
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
Considering the graph H(w),
As w gets larger, H(w) continues to approach a horizontal asymptote.
we know that,
A horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. A slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.
Hence, H(w) gets very small.
Therefore, the correct option is option D
Hence, The solution is:
H(w) gets very small when w gets very large .
To learn more on graph click:
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which equation models the population (in millions), p, of austinberg t years after january 1, 2000
Answers
A!!!!!!!!!!!!
HURRYYYYY PLZ
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
A
B
C
D
E
F
G
Answers
x ^ 2 + 6x = x (x + a) = x (x + 6)
a = 6
For b we have:
b = 2
For c we have:
x-c = x-6
c = 6
For d and e we have:
bx-x + c = dx-x + e
b = d = 2
c = e = 6
For f we have:
dx-x + e = x (d-1) + e = x (2-1) + e = x + e = x + f
e = f = 6
For g we have:
(x + f) / (x + 6) = (x + 6) / (x + 6) = g = 1
g = 1
A bag contains 5 red marbles, 7 white marbles, and 6 blue marbles. Find P(red or blue).
Answers
Answer:
P(red or blue) = 5/18 + 6/18 = 11/18