Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?
Answer:
( 3x − 1) ( 5x^2 + 2 )
Step-by-step explanation:
15x^3 − 5x^2 + 6x − 2
= ( 3x − 1) ( 5x^2 + 2 )
Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].
What is factorization by grouping?Factorization by grouping means that we need to group the terms with common factors before factoring.
[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]
Learn more about factorization by grouping here
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algebra applications
Answer:
X=55°
Y=30°
Step-by-step explanation:
2y=x+5
Y=1/2x+2.5
3y+30=4x-100
3(0.5x+2.5)+30=4x-100
1.5x+7.5+30=4x-100
4x-1.5x=137.5
2.5x=137.5
X=55°
Y=30°
Answer:
[tex]x = 55\\y = 30\\[/tex]
Step-by-step explanation:
Finding x:
4x - 100 + x + 5 = 180 (Angles on a straight line)
5x - 95 = 180
5x = 180 + 95
5x = 275
Dividing both sides by 5
x = 55
Finding y:
2y + 3y +30 = 180 (Angles on a straight line)
5y = 180-30
5y = 150
Dividing both sides by 5
y = 30
Work out the value of 2^3 + 5^2
Answer:
33
Step-by-step explanation:
A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.
PLZ HELPP
Which expressions will help you find the surface area of this right triangular prism? Select all that apply.
11 × 3
1/2 × 3 × 5
4 × 11
5 × 11
Answer:
Select:
11 x 3
4 x 11
5 x 11
Step-by-step explanation:
Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)
Therefore, the formulas we will need to use are:
1) for one of the rectangular faces = 11 x 3
2) for another rectangular face = 5 x 11
3) for the third rectangular face = 4 x 11
4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]
Therefore only three formula expressions need to be selected from the given list.
The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation:
A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)
So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:
L = 7*48in - 5*1.72in = 327.4 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.72in = 558.8 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:
L = 558.8 in + 327.4 in - 1.72in = 884.48 in
You pick a card at random, put it back, and then pick another card at random.
2 3 4 5
What is the probability of picking a number greater than 3 and then picking a 5?
Answer:
12.5%
Step-by-step explanation:
out of the 4 cards only two are >3 (4 and 5)
so 2/4 on the first choice (simplified to 1/2)
picking a 5 is 1/4 since there is only one 5
since they are happening at the same time multiply the two probabilities
1/2*1/4
=1/8
=0.125
=12.5%
HURRY!
What is the distance from (3 and one-half, 5) to (3 and one-half, –12)?
Answer to the question : 17 units
Answer:
17
Step-by-step explanation:
all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.
The diameter of a circle is 20m. Find its area in terms of pie(urgent)
Answer:
100 pie m^2
[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]
Answer:
[tex]= 100\pi {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]
[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]
hope this helps
Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36
Answer:
Step-by-step explanation:
24=8×3
sum of digits is divisible by 3
and last three digits are divisible by 8.
3+8+3+6=20
if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8
so 38136 is divisible by 24.
other number is 38736
Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)
Answer:
Below.
Step-by-step explanation:
[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]
It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.
But, it's the same for 1 and 0 because they equal each other when you square them.
Reduce -6+b^6 by 2+b^4
A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4
Answer:
D
Step-by-step explanation:
-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴ {Now add the like terms}
= -6 - 2 + b⁶ - b⁴
= -8 + b⁶ - b⁴
what are the similarities in the pythagorean theorem and the distance formula
Answer:
The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.
DISTANCE FORMULA
The study of geometry in a graphical environment is called co-ordinate geometry.
In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.
Step-by-step explanation:
Answer:
Short answer: They are essentially the same thing.
The distance formula is derived from the Pythagorean Theorem
We have distance formula:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Pythagorean Theorem:
[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]
The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.
We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]
But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:
[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]
Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D
solve: [tex]\frac{10}{x}[/tex] = 2
Answer:
a. x= 5
Step-by-step explanation:
To solve the question given, we will follow the steps below;
[tex]\frac{10}{x}[/tex] = 2
multiply x to both-side of the equation
[tex]\frac{10}{x}[/tex] × x= 2× x
at the left-hand side of the equation, x will cancel-out x, leaving us with 10
10 = 2x
divide both-side of the equation by 2
10/2 = 2x/2
at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2
5 = x
x=5
Answer:
a
Step-by-step explanation:
The perimeter of a rectangular painting is 340 centimeters. If the width of the painting is 77 centimeters, what is its length?
Answer:
98 centimeters
Step-by-step explanation:
perimeter of rectangle=2(l+b)
width=breadth=77centimetrs
perimeter=340 centimeters
340=2(l+77)
340=2l+144
340-144=2l
196=2l
l=98 centimetrs
Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
Please help ASAP.Will mark as brainliest.
Answer:
angle 1 and 3, and angle 2 and 4
Step-by-step explanation:
Answer:
1 and 3 AND 2 and 4
Step-by-step explanation:
Supplementary angles are angles that add up to 180, therefore we can assume that any angles that make a straight line together are supplementary. 1 and 4 do not make a straight line. 2 and 3 do not either. So we have to assume that the answer is either 1 and 3 or 2 and 4. Not sure whether you want one or two answers
Which one is greater 1 4/5 or 21/12
Answer:
I think 21/12
Step-by-step explanation:
hope it works out,!!
Answer:
Here is the answer 21/12
Step-by-step explanation:
to break 21/12 into a fraction we need to subtract, add a whole.
21-12 is 9 1 9/12
now we need to find a gcf for only 9/12 but divide
this is because the gcf of 4/5 is only 1 so we can’t use it
the gcf for 9/12 is 3
9/12 divided by 3 is 3/4
to know what’s greater I use the butterfly trick Which is sideways multiplying
3. 4
- -
4 5
3 x 5 is 15
4 times 4 is 16
below the 16 should be 4/5
and if you look all the way at the top, it started as 21/12
so it is 21/12
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answer:
D
Step-by-step explanation:
HELP WILL DO ANYTHING TO GET ANSWERS
Answer:
24. 40 minutes approximately
25. 8 days
Step-by-step explanation:
24. 40 minutes
Anna: 1 hour
Peter: 3 hours
Maria: 6 hours
A way to solve this kind of question is to think about how much they can perform given the same amount of time.
Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)
Peter: 3 hours x 2 6 hours (In 6 hours Peter can clean 2 houses)
Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)
Working together they can clean the house 9 times faster.
It is 0.66 hours, or approximately 40 minutes
25. 8 days
It climbs 3 feet up but then it falls 2 feet down while sleeping during
the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.
1. What is the solution to the compound inequality 85 < 17m <136?
a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8
Answer:
The answer is b.
Step-by-step explanation:
First separate it into two inequalities.
85<17m and 17m<136
For the first one,
Divide both sides by 17.
5<m
For the second one,
Divide both sides by 17.
m<8.
Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.
Hope this helped.
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
The solution to the compound inequality [tex]85 < 17m < 136[/tex].
Now,divide both sides by [tex]17[/tex].
[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]
Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)
To know more about the inequality
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There are 1250 students in a school. 58% of them are female. How many are male?
Answer:525 boys
Step-by-step explanation:
Multiply 1250 times .58 and then subtract that answer from 1250....
1250x.58=725
1250-725=525
Answer:
There are 525 boys in that school.
Step-by-step explanation:
Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is
⇒100% - 58% = 42%
To find how many boys are in that school, you multiply 1250 by 42%.
i.e. [tex]\frac{42}{100} * 1250[/tex]
= [tex]\frac{42}{10} * 125[/tex]
= 4.2 × 125
= 525
∴ There are 525 boys in that school.
OR
You can find the number of boys there by subtract the product of 58% and 1250 by 1250.
i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]
= [tex]\frac{58}{10} * 125[/tex]
= 5.8 × 125
= 725
∴ The boys in that school are:
= 1250 - 725
= 525
∴ There are 525 boys in that school.
Hope this helps!!!
State the main principle of solving equations
Answer:
The main principle of solving equations is to find the unknown value
Step-by-step explanation:
For example:
[tex]x + 3 = 6[/tex]
[tex]-3=-3[/tex]
[tex]x=3[/tex]
I hope this helps
Answer:
The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.
Step-by-step explanation:
Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?
Given that these triangles are similar, which side corresponds to side JK?
Answer: The first one is KL and the second one is most likely FG.
Answer:
1: KL
2: FG
Step-by-step explanation:
Just did it on Edge 2020-2021
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer:
The modal is 6 and the median is 6
Step-by-step explanation:
The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.
______________________________
Hey!!
Solution,
Area= 12 ft^2
height= 3 ft
Now,
Area=b*h
or, 12=b*3
or,b=12/3
b=4 ft.
The value of base is 4 ft.
hope it helps
____________________________
Given that AABC= ADEF, which of the following must be true?
Answer:
it's b because b and e are in the same place
Need some help with congruence and similarity
(Picture bellow)
Answer:
a and b are similarity i think that's what your looking 4 idk
Step-by-step explanation: