Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
where can i find the answers?
Answer:
I don't know where can you find this question's answer.
find the value proportion :x : 35:98:60
Answer:
x/35=98/60
x=7/6
The value of x is 7/6
5, 317, 000 in scientific notation
Hi ;-)
[tex]5 \ 317 \ 000=\\\\=5,317\cdot1 \ 000 \ 000=\boxed{5,317\cdot10^6}[/tex]
Step-by-step explanation:
[tex]5317000 = 5.317 \times {10}^{6} \\ thank \: you [/tex]
What the picture says
Answer:
BCG
Step-by-step explanation:
This is because it is what you see when you look in the front of the shape.
HOPE THIS HELPED
A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal
Answer:
480
Step-by-step explanation:
Let x be the calories in 4 cups
Set it up
[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]
Step 1: Switch sides
[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]
Step 2: Apply fraction rule
[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]
Multiply
[tex]\frac{x}{4}=\frac{360}{3}[/tex]
Divide
[tex]\frac{x}{4}=120[/tex]
Step 3: Multiply both sides by 4
[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]
There are 480 calories in 4 cups of the cereal.
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
Help me please broskies
Which expression is equivalent to(2^3)^-5
Answer:
23
Step-by-step explanation:
Answer:
1/32
Step-by-step explanation:
First you must multiply the 3 and the -5 because the -5 is out of the parenthases. then you will get 2^-15. You cannot have a negative exponent so you chance it to 1/2^15. Then simplify to get the answer
How to solve multi step equations
Answer:
x = –2
Step-by-step explanation:
– 6(1+4x) = –x +40
–6 – 24x = –x +40
24x –x = –6 –40
23x= – 46
x= – 46 / 23
x= – 2
I hope I helped you^_^
The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?
Answer:
It would be 15 songs if each song was 412 seconds, not minutes.
Step-by-step explanation:
Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.
Answer:
78
Step-by-step explanation:
show your work
hi how to solve this question 3n-5;where n=-1
Answer:
[tex]3n - 5 \\ 3( - 1) - 5 \\ = - 3 - 5 \\ = - 8[/tex]
I hope I helped you^_^
Answer:
hope it's help you
Step-by-step explanation:
3(-1)-5 =-3-5 =-8
Help please.
Simplify: 5i/ 3 + 2i
Answer:
10+15i/13
Step-by-step explanation:
This question is about complex numbers.
so,
in this type of questions we have to multiply this fraction by the conjugate of the denominator
conjugate of the denominator is 3-2i
1) 5i(3-2i)/(3+2i)(3-2i)
2) 15i-10i^2/9-4i^2 ( we know that i^2 = -1 )
3) 15i+10/9+4
4) 15i+10 / 13
PLz help :( i will mark barinliest
which best describes the meaning of the word theorem
A. A conjecture based on inductive reasoning
B. A statement that is accepted as true without proof
C. a statement explaining the meaning of a geometric term
D. A conclusion proved by deductive reasoning
Answer:
Step-by-step explanation:
It's D.
A theorem is true by some sort of mathematical logic.
It is not a definition. Not C
It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A
It certainly not assumed to be true without proof. Not B
If AB is parallel to cD and the slope of aD is -5, what is the slope of AB?
Answer:
-5
Step-by-step explanation:
According to formula:
m1 = m2
Since:
m2 = -5
∴ m1 = -5
Answer:
-5
Step-by-step explanation:
because -5 is parallel to AB
What is the slope between the points (5.-7) and
(–7.1)?
2 1/6 x 4 1/2= and explain it
Answer:
9 3/4
Step-by-step explanation:
First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1 Then you keep the original denominator at the bottom of the fraction.
2*6+1/6 4*2+1/2 ---> 13/6 x 9/2
You would then simplify the crossing numbers 6 and 9. They both can be divided by three.
13/2 x 3/2 = 39/4
Now you would do long division where you divide 39 by 4
4 goes into 39 nine times subtracting 36 from 39.
You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.
The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.
What is mixed numbers?A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.
(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2
Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.
13/2 x 3/2 = 39/4
You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.
In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.
Therefore, 2 1/6 x 4 1/2 = 9 3/4.
To know more about the mixed numbers, click on the link
https://brainly.com/question/1746829
#SPJ2
Solve the system of linear questions by substitution
-3x + y = 1
4x + y = 8
Answer:
–3x + y =1
y= 1 +3x
4x + y =8 —> 4x + ( 1 + 3x ) = 8
7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7
x = 7/7 —> x = 1
y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3
y= 4
(x , y ) —> ( 1 , 4 )
I hope I helped you^_^
6x-14(17+19x)=-11x+13
What fractional part of the bar is blue? ill mark brainliest!
Group of answer choices
1/6
2/6 or 1/3
3/6 or 1/2
4/6 or 2/3
Answer:
3/6 or 1/2
Step-by-step explanation:
⇒ out of 6 blocks 3 are shaded so, it will be 3/6
⇒ out of 6 blocks 3 are shaded (3 is half of 6) so, it will be 1/2
Answer:
Answer: 3/6 or 1/2
Step-by-step explanation:
Basically there are six bars and we are to find the fractional part of the blue bars. The fractional part of the blue bars is 3/6 or 1/2.
V36 What smallest number should be multiplied to 288 in order to make it a perfect cube?
Answer:
6
Step-by-step explanation: We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3)=6. 1,331 is a perfect cube.
Charlotte read a 608-page book in 16hours last month. How many pages per hour was that
Answer:
33
Step-by-step explanation:
608pages/16h = 33pages/h
3(s-5)/4 -3 = 4s- (s-3)/2
pls answer fast
Answer:
[tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
Step-by-step explanation:
[tex] \frac{3(s - 5)}{4 - 3} = \frac{4s \times (s - 3)}{2} [/tex]
➡️ [tex] \frac{3(s - 5)}{1} = 2s \times (s - 3)[/tex]
➡️ [tex]3s - 15 = 2 {s}^{2} - 6s[/tex]
➡️ [tex]3s - 15 - 2 {s}^{2} + 6s = 0[/tex]
➡️ [tex]9s - 15 - 2 {s}^{2} = 0[/tex]
➡️ [tex] - 2 {s}^{2} + 9s - 15 = 0[/tex]
➡️ [tex]2 {s}^{2} - 9s + 15 = 0[/tex]
➡️ [tex]s = \frac{ - ( - 9)± \sqrt{( - 9 {)}^{2} - 4 \times 2 \times 15} }{2 \times 2} [/tex]
➡️ [tex]s = \frac{9± \sqrt{81 - 120} }{4} [/tex]
➡️ [tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
➡️ [tex]s∉ℝ[/tex]
Find the unknown sizes of the angle
Answer:
b=58 ( vertically opposite angle)
58+65+x=180 (Beaing straight angle)
123+x=180
x=180-123
:.x=57
65+b+c=180 (beaing straight angle)
65+58+c=180
123+c=180
c=180-123
c=57
a=65 (beaing vertically opposite angle)
answer
:.b=57
:.c=57
:.a=65
select the correct answer
which of these mappings is a function
Answer:
B. X
Step-by-step explanation:
the other functions have same x and different y which makes them non existant
Ethans solution and reasoning for solving an equation are shown below:
Given: 4/2x - 10 = 30
Which reason is incorrect?
(9th grade math Algebra 1)
Answer:
Reason 4 is wrong in Ethan's solution.
Step-by-step explanation:
Reason 4 is incorrect because at this step in the answer we already have one variable which is unknown on the left side and then one constant which can be seen on the right. So, instead of multiplying the fractions the way Ethan is doing, all you need to do now is just simplify the expression instead of complicating the step.
5.6x+1.5=0.8x+25.5
What is x?
Answer:
x = 5
Step-by-step explanation:
Let me know if you need the work
A boy buys 2 packets each containing x biscuits. He eats 6 biscuits
How many biscuits does he have left?
Answer:
he have left 16 biscuits
prove angle z = angle v
Answer:
Angle Z = Angle V (as it is already said that ZY = VY and their ending points are Z and V respectively
Step-by-step explanation:
angle z = angle v can be proved by the SAS (Side angle side) Property
XZ = TV (Given)
Angle Z = Angle V (as it is already said that ZY = VY and their ending points are Z and V respectively
ZY = VY ( Given )
whate are the factors for the following 64,72,36,140
Answer:
the greatest common factor is 8