Answers
4. 2x^4+11x^2+12= (2x+3)(x+4)
Related Questions
Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?
1 mile 1,609 meters
Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help
Answers
(D) Talia swims about 1.5 miles per hour faster than Alina.
Answer:
Talia swims about 1.5 miles per hour faster than Alina.
Step-by-step explanation:
Since, 1 miles = 1609 meter and 1 hour = 60 seconds,
⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]
⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]
Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600
[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]
[tex]=1.11736111\text{ meter per seconds}[/tex]
And, the speed of Talia = 1.8 meter per second,
Since 1.8 > 1.11736111
⇒ Talia swims faster than Alina.
And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds
= 0.68263889× 3600/1609 miles per hour
= 1.52734618 miles per hour ≈ 1.5 miles per hour ,
⇒ Fourth option is correct.
How do you solve -2(6x+3)=-27–5x ?
Answers
Our goal is to isolate x on one side by doing the same operation on both sides.
First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x
Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x
Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21
Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3
The answer is x = 3
Hope this helps! :)
Each of the 212 pages in the largest fashion catalog measured 1.2m by 1.9m. whats was the perimeter of a page what was the area
Answers
Final answer:
To find the perimeter of the catalog page, we add the length and width and multiply by 2, resulting in 6.2 meters. For the area, we multiply the length by the width, resulting in 2.28 square meters.
Explanation:
The question asks for the perimeter and area of a page from a fashion catalog with dimensions of 1.2 meters by 1.9 meters. To calculate the perimeter of a rectangle, the formula is 2(length + width), and to calculate the area, the formula is length × width.
For the perimeter:
2(1.2m + 1.9m) = 2(3.1m) = 6.2 meters.
For the area:
1.2m × 1.9m = 2.28 square meters.
I need the answer Algebra question
Answers
Answer: $32
Step-by-step explanation:
add 7+9+12+4 =32
A garden table and a bench cost $1025 combined. The garden table costs $75 more than the bench. What is the cost of the bench?
Answers
b=bench
g+b=1025
g=75+b
subsitute
75+b+b=1025
75+2b=1025
minus 75 both sies
2b=950
divide both sides by 2
b=475
the bench costs $475
11. What other information do you need to prove the triangles congruent using the AAS Congruence Postulate?
BAC=DAC
AV=AD
AB=AD
CBA=CDA
Answers
We are also given that angle BAC and angle DAC are equal.
If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC
Correct answer: fourth option
From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.
We are also given that angle BAC and angle DAC are equal.
If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC
Correct answer: fourth option
Find an equation for the plane that is perpendicular to v = (1, 1, 1) and passes through (1, 0, 0).
Answers
Now all you have to do is find c to make the plane pass through (1,0,0).
If you fill in this point, you get c=1, so the equation is:
x+y+z=1.
Final answer:
The equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0) is x + y + z = 1.
Explanation:
To find an equation for the plane that is perpendicular to the vector v = (1, 1, 1) and passes through the point (1, 0, 0), we need to use the normal vector v as the coefficient of the variables in the plane equation.
Step 1: The vector v is perpendicular to the plane, so its components are the coefficients of x, y, and z in the plane equation. Since v has components (1, 1, 1), the plane equation can be written as x - y - z = D, where D is a constant.
Step 2: The plane passes through the point (1, 0, 0). Substituting these coordinates into the plane equation allows us to find D.
Substituting, we get 1(1) + 1(0) + 1(0) = D. Hence, D = 1. Therefore, the equation of the plane is x + y + z = 1.
A boy found a bicycle lock for which the combination was unknown. the correct combination is a four-digit number,
Answers
Two candidates running for the same office received a total of 1,926 votes. If the winning candidate had 410 more votes than the other candidate, how many votes did the winner receive?
Answers
The number of votes received by winner is: 1168
Step-by-step explanation:Let the number of vote that is received by winning candidate be: a
and the number of votes received by other candidate be: b
It is given that:
Two candidates running for the same office received a total of 1,926 votes.
i.e.
[tex]a+b=1926--------------(1)[/tex]
and
The winning candidate had 410 more votes than the other candidate.
This means that:
[tex]a-b=410--------------(2)[/tex]
Now on solving the equation by the method of elimination .
i.e. on adding both the equation we have:
[tex]2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168[/tex]
Now on putting the value of a in equation (1) we get:
[tex]1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758[/tex]
Hence, the answer is: 1168
Select the correct answer.
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there. How much must she buy before her savings equal her membership fee?
$10.00
$50.00
$100.00
$1,000.00
Answers
Then to work out 100% we divide $10 by 0.1
$10/0.1 = $100
Is the number x positive? (1) on the number line, 0 is closer to x – 1 than to x. (2) on the number line, 0 is closer to x than to x + 1?
Answers
x is positive, let x = 5, then x-1 = 5-1 = 4, then zero is close to 4 than 5
-------------------------.------------------------.-----------------------
(2) on the number line, 0 is closer to x than to x + 1
x is positive, as zero is close to 5 than 5+1=6
I hope that helps!
A car dealership increased the price of a certain car by 13% . The original price was $41,200
Answers
(1) 41,200 + 0.13(41,200) = 41,200 + 5356 = 46,556 <=
or
(2) 41,200 * 1.13 = 46,556 <=
An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Round the answer to the nearest whole number of metres.
Answers
Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.
The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps------------- x
x=(10 laps * 80π m) / 1 lap=800π m
Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days---------------- x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m
Solution: 12566 m
Hope This Helps!!
Name the property shown by the statement.
3(x + 7) = 3x + 21
Answers
Simplify the expression 3bx4b
Answers
This is a simple act of multiplication:
3 x 4 = 12
b x b = b²
Therefore your answer is 12b²
Hope This Helps!!!
what is (4−5y)−2(3.5y−8)?
Thank you!!
Answers
(4-5y)-7y-16
4-5y-7y-16
4-12y-16
-12y-12
What is the midpoint of the line segment whose endpoint are (-8,12) and (-13,-2)
Answers
-8 + (-13) = -8 - 13 = -21
Now divide that result by 2 to get -21/2 = -10.5
This value is the x coordinate of the midpoint.
------------------------------------------
The y coordinates of (-8,12) and (-13,-2) are 12 and -2
Add these values up to get 12+(-2) = 12-2 = 10
Now divide that result by 2: 10/2 = 5
The y coordinate of the midpoint is 5
------------------------------------------
Answer: (-10.5, 5)
Simplify 7 - (-4) + 3(-6).
Answers
it would become 11 - 18 which would equal -7
The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?
Answers
density = mass/ volume
volume = mass/ density
volume = 5625 / 15 = 375 cm^3
volume = l x w x h
375 = 5 * 3 * X
375 = 15
x = 375/15 = 25
height = 25 cm
The height of the object is 25 cm and this can be determined by using the formula of density and volume.
Given :
The density of an object can be calculated by dividing the object's mass by its volume.A rectangular prism has a density of 15g/[tex]\rm cm^3[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm.The height of the object can be determined by using the formula of density. The formula of density is given by:
[tex]\rm d = \dfrac{m}{V}[/tex]
where d is the density, m is the mass, and V is the volume.
Now, substitute the known terms in the above formula.
[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]
Now, the volume of an object is given by:
[tex]\rm V = l \times w\times b[/tex]
Now, substitute the known terms in the above formula.
375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h
h = 25 cm
For more information, refer to the link given below:
https://brainly.com/question/6034174
Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
enough information is given, write not enough information.
Answers
We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)
We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)
---------------------------------------------------------------------------------------------------------------
Question 11b)
We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)
----------------------------------------------------------------------------------------------------------------
Question 11c)
We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF
We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)
-----------------------------------------------------------------------------------------------------------------
Question 11d)
We do not have enough information to tell whether this shape congruent or not
Answer: on d. it's, you
weren;t given enough information
Step-by-step explanation:
ur welcome.
In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't understand
Answers
This is because b is equal to a decreased by 2. Anytime a changes, then b does as well. B can only change in accordance with a.
How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent
Answers
notice, "e" is the Euler's constant, and yes, is on your calculator.
For a percentage increase of 36%, state the multiplier
Answers
x+0.36x
1x+0.36x
if we undistribute x then
x(1+0.36)
1.36x
the multiplier is 1.36
The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.
causation
correlation
association
no relationship
Answers
The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.
Explanation:The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.
Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.
For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.
The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.
The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.
For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.
It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.
How many lines does wide ruled paper have?
Answers
1)Solve G(x) for the given domain.
G(x) = 3x 2 - 2x - 1
G(6) =
a)287
b)95
c)23
2)Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x 2 + 2
F(x2) =
3)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(-1) =
a)-4
b)-6
c)2
4)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(3) =
a)13
b)16
c)40
Answers
Answer:
1-287
2- x^4 + 2
3 -6
4 16
Step-by-step explanation:
Answer:
1) is 95 G(6) = 3(6) ^2 - 2(6) - 1
2) is F(x²) = x⁴ + 2
3)is -4 f(-1)=-1^2+3(-1)-2
4) is 16 F(3) = (3) 2 + 3(3) - 2
Step-by-step explanation:
2) F(x) = x 2 + 2
F(x2) = F(x^2) = (x^2)^ 2 + 2x^4+2
= f(x^2)=x^4+2
Show all work please!!!!!!
1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?
3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).
Answers
(point1 + point2)/2
1) (-2 + 12)/2 = 5
2) (-1 +5)/2 = 2
(0+2)/2 = 1
(2,1)
3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
sqrt of (7 -1)^2 + (-7 - 1)^2
sqrt of (6)^2 + (-8)^2
sqrt of 36 + 64
sqrt of 100
10
Hope this helps!
really need a answer and explanation for this
Answers
A square piece of cloth, which is 10 meters on a side, is cut across the diagonal to form two right triangles. What is the length of the diagonal cut?
Answers
So 10² + 10² is 200
The square root of 200 is about 14.14
10² + 10² ≈ 14.14²
Hope that helps :)
Answer:
D
Step-by-step
The answer is the square root of 288
On Monday, three hundred twenty students went on a trip to the zoo. All seven buses were filled and five students had to travel in cars. How many students were in each bus?
Answers
325 - 5 = 320/7 = 45
Hope this helps!
(Btw I rounded to 45 because the whole number was like 45.71428571428571)