what is x 4 +7x 2 +10
Answer:
[tex]\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
Step-by-step explanation:
[tex]x^4+7x^2+10:\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
convert into like fraction and arrange in ascending order
a)7/8 and 9/10
b) 1/2, 3/4,6/8
Answer:
a) 35/40, 36/40
b) 4/8, 6/8, 6/8
Step-by-step explanation:
In order to convert into like fractions, we must find a common denominator for both.
This just means finding the LCM of the existing denominators.
To find the LCM, list the prime factorization of each number, and multiply each factor together the maximum amount of times it appears in one factor.
Then figure out what you need to multiply the existing denominator by to get the common denominator, and multiply that number to the numerator as well.
Note that multiplying a fraction by x/x won't change the value because x/x is equal to 1.
If this sounds confusing- don't worry- it'll become more clear in the work below.
a) 7/8 and 9/10
Start by finding the LCM of 8 and 10
Prime factorization:
8- 2*2*2
10- 2*5
Multiple: 2*2*2*2*5
However, 2 appears in 10 once and 8 three times.
So we can cross out one "2" since the maximum amount of times it appears is three times, not four.
Hence the LCM is 2*2*2*5=40
40 will be the common denominator.
To get to 40 from 8, you need to multiply it by 5.
So we can do:
7/8*5/5=35/40
Repeat with the second fraction.
To get to 40 from 10, you need to multiply it by 4.
So we can do:
9/10*4/4=36/40
36/40>35/40
Therefore, the ascending order would be
35/40, 36/40 or 7/8, 9/10
b) 1/2, 3/4, 6,8
Start by finding the LCM of 2, 4 and 8.
Prime Factorization:
2: 2
4: 2*2
8: 2*2*2
Since 2 appears a maximum of 3 times in one number the LCM is:
2*2*2=8
So our common denominator will be 8.
To get to 8 from 2, you need to multiply it by 4.
1/2*4/4=4/8
To get to 8 from 4, you need to multiply it by 2.
3/4*2/2=6/8
The last fraction is already good.
6/8
Hence, the ascending order would be:
4/8, 6/8, 6/8 or 1/2, 3/4, 6/8
Hope that helps! Let me know if you have any questions :)
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
If 2(3x - 2)=26 then x = ?
Step-by-step explanation:
6x-4=26
6x=26+4
x=30/6
x=5
Answer:
x=5
Step-by-step explanation:
26÷2=13
13+2=15
15÷3=5
Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?
Answer:
Klog earned $135.45 altogether.
Step-by-step explanation:
Hours
Monday - Friday : 5 days / 3.5 hours
Saturday : 1 day / 4 hours
3.5 · 5 + 4
= 17.5 + 4
= 21.5
Money
$6.30 per hours / 21.5 hours
6.30 · 21.5
= $135.45
PPPPlease help meeee!
Answer:
A
Step-by-step explanation:
Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.
Tìm x biết: x+5x^2=0
x+1=(x+1)^2
Answer:
what type of question is this?
(1,-2),(-2,-5) find the slope and show me how u got it please
Answer:
where m= slope m= -7/3
Step-by-step explanation:
Simplify the square root. Please explain
Answer:
4/5
Step-by-step explanation:
Square of 1: 1*1=1
Square of 2: 2*2=4
Square of 3: 3*3=9
Square of 4: 4*4=16
Square of 5: 5*5=25
Square of 6: 6*6=36
Square of 7: 7*7=49
Square of 8: 8*8=64
Square of 9: 9*9=81
Square of 10: 10*10=100
Those are the basics.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
[tex] \large{ \tt{❊ \: S \: O \: L \: U \: T \: I \: O \: N \:❊ }}[/tex]
[tex] \underline{\large{ \tt{۵ \: S \: T \: E \: P \: S} }} : [/tex]
[tex] \large{ \tt{❁ \: \sqrt{ \frac{16}{25} }→\sqrt{ \frac{ {4}^{2} }{ {5}^{2} } }→ \sqrt{ (\frac{4}{5} ) ^{2} } → (\frac{4}{5} )}^{ \frac{2}{2} } → \boxed{ \tt{ \frac{4}{5} }}} [/tex]
[tex] \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \frac{4}{5} }}}}[/tex]
Hope this helps! Let me know if you have any questions regarding my answer and also notify me , if you need any help! :)Which number has the greatest value?
A) 12.2
B) 12.25
C) 12.5
D) 12.52
Answer:
The answer is letter D, 12.52
You are offered two jobs. One with a yearly salary of $51,592, and the other an hourly
job with a rate of $27 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
Find the volume of this solid.
Answer:
C
Step-by-step explanation:
1/2(10*7)*13
1/2(70)*13
35*13=455
Pls only answer if you know the correct answer! Thanks! :))
Answer:
(3,5)
Step-by-step explanation:
The y axis is the vertical line
Reflection means it is reflected off of. So if the point was ink, and you folded the paper in half vertically, you would have another dot of ink at the points (3,5)
pls help me do this best answer will be marked as brainliest
Answer:
A
Step-by-step explanation:
The number is being halved each time; half of 18 is nine, half of nine is 4 1/2 etc.
Answer:
A
Step-by-step explanation:
multiply 9 and 2 1/4 by 2
10-7+12 dived (2^3-6) hope you can answer
Answer:
The answer is 7.5
how many letters in the english alphabet preeced the letter v?
Answer:
21 letters
Step-by-step explanation:
A, B, C, D, E, F, G, H, I, J, K, L, M, NO, P, Q, R, S, T, U
Change 300mm into cm
Answer:
30 cm
Step-by-step explanation:
divide by 10
Answer:
300mm —> 30 cm
1mm= 0.1cm
I hope I helped you^_^
please help me with this!!
Answer:
Angle BFC = EFD.
So, Angle AFE = AFB + 2(BFC) + CFD
AFE = 25 + 2(57) + 34
AFE = 25 + 114 + 34
AFE = 139 + 34
AFE = 173
So B is correct.
Let me know if this helps!
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
PLZ help i will give brainly to whoever wants it.
Answer:
30
Step-by-step explanation:
45+45 = 90
150-90 = 60
60/2 = 30
I think...
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
A father's age now is three times the age that his son was 4 years ago. In 12 years, the father will be twice as old as his son. find their ages now.
Answer:
the dad is 60 im not sure about the son
Step-by-step explanation:
Can anyone help me with this please and maybe explain it?..
Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?
Answer:
3600 i think
Step-by-step explanation:
I need help in this question
Answer:
C. 12/15
Step-by-step explanation:
2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.
Answer:
C. 12/15
Step-by-step explanation:
As it is mentioned above, the below text is the explanation, if you were here for the answer, it is above.
The question is asking which ratio is not equivalent. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided anymore.
So when we look at A. we see that you can not simplify 2/3 anymore. Hence:
A (simplified version): 2/3
When we look at B. we see that the ratio, or fraction, is 6/9. The numerator, or the top number, is 6, while the denominator (the number on the bottom), is 9. The GCF (The greatest common factor, or GCF, is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor, GCD, or highest common factor, or HCF. A factor is a smaller number that can divide evenly into that number) of 6 and 9 is 3. So we divide the numerator and the denominator (both) by 3 to get to 2/3. Hence:
B (simplified version): 2/3
Now, when we look at C. we see that the ratio is 12/15. What is the GCF of 12/15? The GCF is 3. So we divide the numerator and the denominator by 3 to get:
C (simplified version): 4/5
Moving on to D. Let's make it quick. The ratio is 18/27. The GCF is 9. So we divide the numerator and the denominator by 9 to get::
D (simplified version): 2/3
If:
A (simplified version): 2/3
B (simplified version): 2/3
C (simplified version): 4/5D (simplified version): 2/3
The one fraction that is not equivalent? I'll let you figure that out for yourself!
Hope I was able to help zahrahimran1 (and anyone else)! Have a nice rest of the day!
plz help can anybody solve this only one question
Step-by-step explanation:
Angle:2x+30+3x=180
Angle:2x+b+2b=180( Being in straight line)
Angle:30+3x+a=180
A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?
Will Mark Brainlest Help pls
Answer:
can you snap it again it's not clear
a lone segment has ______ endpoints.
1) three
2)two
3)zero
4)one
Answer:
2) twoStep-by-step explanation:
A line segment forms when it has two end points
Answer:
Two
Step-by-step explanation:
A segment has two endpoints, since it is not connected to anything. Hopefully this image can help you understand the types of lines there are in mathematics.
Hope this helped.
Doug entered a canoe race. He paddled 5 miles in 2 thirds an hour. What is his average speed per hour?
Answer:
15/2 miles or 7 1/2 miles per hour.
Step-by-step explanation:
We can write the ratio shown as 5 : 2/3. We would need to divide both sides by 2/3 to get our answer. 2/3÷2/3=1 and 5÷2/3 would be 15/2. So the ratio would now look like this: 15/2 : 1. Hope this helped.
The average speed is 7.5 miles/h
What is average speed?The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:
Average Speed Formula:
Average Speed = Total distance covered ÷ Total time taken
given:
distance= 5 miles =
time= 2/3 hour
So, average speed
=distance/ time
=5/ 2/3
= 15/2
=7.5 miles/ h
Learn more about average speed here:
https://brainly.com/question/12322912
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