Answer:
Step-by-step explanation:
From the given information.
R3 is a vector space over the field R, where R is the set of real numbers.
Where;
The set W = {(0, x2, x3): x2 and x3 are real numbers} is the subspace of [tex]\Re[/tex]³
To proof:
(0,0,0) ∈ W ⇒ W ≠ ∅
Suppose u and v is an element of W;
i.e.
u,v ∈ W (which implies that) ⇒ u (0,x2,x3) and v = (0,y2,y3) are real numbers.
Then
u+v = (0,x2,x3) +(0, y2, y3)
u+v = (0,x2+y2, x2+y3) ∈ W
⇒ u+v ∈ W ----- (1)
Now, if we take any integer to be an element of the real number [tex]\Re[/tex]
i.e
∝ ∈ [tex]\Re[/tex]
∝*[tex]\Re[/tex] = ∝(0,x2,x3)
∝*[tex]\Re[/tex] = (0,x2,x3) ∈ W
⇒ ∝*u ∈ W ------(2)
Thus from (1) and (2), W is a subspace of [tex]\Re[/tex]³
PLEASE HELP! Determine the slope and the y-intercept of the table.
Let's take the first 2 x and y values and use them. First, you need to fill in your formula: y2-y1/x2-x1. It should look like this: 5-2/4-2. Then solve and you should get 3/2. You can't simplify it. So, this is your slope.
Next, you need to put this is into another formula. The formula is y-y1=m(x-x1). Take the first coordinate pair and plug it in for x1 and y1. Plug in your slope for m. When it's filled in, you should have y-2+3/2(x-1). It's hard to explain how to solve it so i'll just write it out.
y-2=3/2(x-2)
y-2=3/2x-3
y=3/2x-1
So, we have our equation in slope intercept form so that we have our slope and our y-intercept.
Y-intercept: -1
Slope: 3/2
Please put this as brainliest it took awhile and I hope this helped :) reply with questions if you still need help or have questions about the steps
reflection across y=3
Answer:
y= -3
Step-by-step explanation:
What is the exact value of Tan(pi/12)
We have
0 < π/12 < π/2
and
tan(π/12) = sin(π/12) / cos(π/12)
Both sin(x) and cos(x) are positive for 0 < x < π/2, so we expect tan(π/12) to also be positive.
Recall the double-angle identities for cosine,
cos²(x) = (1 + cos(2x)) / 2
as well as the Pythagorean identity,
tan²(x) = sec²(x) - 1
and by definition,
sec(x) = 1 / cos(x)
Putting everything together, we have
tan(x) = √(1 / cos²(x) - 1)
tan(x) = √(2 / (1 + cos(2x)) - 1)
Let x = π/12. Then 2x = π/6, and cos(π/6) = √3 / 2, so that
tan(π/12) = √(2 / (1 + cos(π/6)) - 1)
tan(π/12) = √(2 / (1 + √3 / 2) - 1)
tan(π/12) = √(4 / (2 + √3) - 1)
tan(π/12) = √(4 / (2 + √3) - (2 + √3) / (2 + √3))
tan(π/12) = √((2 - √3) / (2 + √3))
tan(π/12) = √(7 - 4 √3)
Translate six more than the product of a number and 9 equals 4 into an equation
Answer:
6+9n=4
its right
PLS HELPPPP you will get 10 points
What is StartFraction 7 Over 9 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third. 2 2 and StartFraction 1 Over 9 EndFraction 2 and one-third 3
Answer: 2 1/9
Step-by-step explanation: There are 2 1/9‘s left when you see how many can fit into the last 1/3 box. But if the answer is not 2 1/9 than the answer is 2.
heeellllppppp meeeeeeee plzzzzzzzzzzzzz
Answer:
angles 3, 1, 7, 5
Step-by-step explanation:
suplementary angles add up to 180 degrees so
<4 + <3=180
<4 + <1 =180
<4 + <7=180
<4 + <5= 180
which expressions are equivalent to 1/81? check all that apply.
Answer: here are some examples :
8-1 9^
-2 9^
8/9^
4 9^
8/9^
10 9^
-6 x 9^
3 9^5 x 9^-7
Step-by-step explanation: pls mark branliest
Danny charges $26 for 2 hours of swimming lessons, Martin charges $60 for 4 hours of swimming lessons. Who offers a better deal?
Answer:
Danny has the better deal.
Step-by-step explanation:
26 x 2 = 52
Danny charges $52 for 4 hours while Martin charges $60.
Help please !!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Been a while since i’ve done this but I’ pretty sure since A starts on 2 and goes back 7 (into the negatives for minus 7) it would be A.
Answer:
I hope this helps!
Which of the following expressions has a value of 2/5 in the picture below?
Step-by-step explanation:
Step 1: List out all of the formulas for the trigonometric functions
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
Step 2: Find the following expression that has a value of 2/5
sin(B) = opposite/hypotenuse = ?/5 is FALSE
cos(B) = adjacent/hypotenuse = 2/5 is TRUE
tan(B) = opposite/adjacent = ?/2 is FALSE
Answer: The correction expression that has a value of 2/5 is option B
Answer:
B is the correct option
Step-by-step explanation:
To complete a science experiment, Mrs. McWilliams divides 2,184 grams of a chemical equally among the 26 students in her science class. How many grams of the chemical does she give to each student?
Answer:
84 she will give 84
Step-by-step explanation:
the first thing you need to do is put 2184 in to a chart for dividing then just divide until you get the product your looking for in this problem the answer would be 84
Kim ran a mile in PE class after resting 1 hour her rate was 60 beats per minute if her heart rate decreased 2/5 what was it immediately after she ran the mile
Answer:
Immediately after she ran the mile, her heart rate was 100 beats per minute.
Step-by-step explanation:
If Kim ran a mile in Physical Education class, and after one hour of rest her heart rate was 60 beats per minute, having dropped 2/5 of the pace it had immediately after finishing running, to know what was said heart rate it is necessary to perform the following calculation:
2/5 = 0.4
Thus, her heart rate dropped 40%. Since 100-40 is equal to 60, your 60 beats are 60% of the heart rate immediately after running. Therefore, the post-exercise heart rate is derived from the following calculation:
60 = 60
100 = X
((100 x 60) / 60) = X
(6,000 / 60) = X
100 = X
Therefore, her heart rate immediately after running was 100 beats per minute.
5. Look at the following systems of equations.
3x – 2y = 14
6x = 4y + 28
Which of the following is a description of the solution for this system?
A. An infinite number of solutions
B. No solution
C. One solution
D. Two solutions
Answer:
An infinite number of solutions.
Step-by-step explanation:
four and two fifths + two and two thirds=
pls help
Answer:
7 and 1/15
Step-by-step explanation:
4+2 then add two fifths with two thirds (convert them into a mixed number)
Write the mixed number as a sum of the whole number (6+1 1/15)
6+1 is 7
answer is 7 1/15
I will give you brainiest what is 3+3 go fast and what is 4+4
Answer:
3+3=6 , 4+4=8
Step-by-step explanation: Brainliest pls
What’s is 20% of 75 kilograms
Answer:
Its 15
Step-by-step explanation:
20% of 75 is just 15 lol. So i guess 15 Kilograms :)
(brainliest if this is correct for you)
What is the product of -2/7 and -3/7?
• -6/7
• -6/49
•6/49
•6/7
Theirs a picture.. Pls answer fast... (Edj) Anyways giving out 50 points to whoever answers it right!!
Answer:
The answer is 6/49, I hope this helps.
POOOOOOOOOG PLZZZZ!!!! DUE IN TEN MINUTES!!!!! HELP WILL DO BRAINLIEST!!! IMPORTANT!!!
Answer:
Table b
Step-by-step explanation:
In order to find the inverse proportion relationship between x and y, multiply the corresponding values of x and y given in the table. If the products are same for all, there would be inverse relation otherwise not.
Lets first work with table (a)
(a)
3*8 = 24
4*6 = 24
5*4.8= 24
5.5*4 = 22
Here in table a product of all corresponding numbers are not constant. Table (a) has no inverse relation between x and y.
Now, let's work with table (b)
0.1*300 = 30
0.5*60 = 30
45*0.4 = 30
100*0.3= 30
Here products are constant, therefore in table (b) x and y are inversely proportional.
PLEASE HELP!
What will be the coordinates of vertex an’ of the image?
Answer:
2,4 or -4,4
Step-by-step explanation:
Rewrite 67.43 ÷1.1 to make the division a whole number.
Answer:
6743÷110 = 67.43÷1.1........... thanks
The scores on an exam are normally distributed, with a mean of 73 and a standard deviation of 5. What percent of the scores are less than 78?
16%
84%
50%
135%
Answer:im sorry
Step-by-step explanation:
What is the measure of the missing angle?
?
A. 45
B. 35
C. 85
D. 60
Help please !!! Soqnsonsnwoamwoskwozkzkxksksmmsndp
Answer:
tgulriao e jkbal2 3n
Step-by-step explanation:
1. What is the result when the SUM of 1/5
and 1/4 is divided by 3/4 ?
Answer:
3/5
Step-by-step explanation:
1/5 + 1/4 = 4/20 + 5/20 = 9/20 divided by 3/4
9/20 x 4/3 = 36/60 = 3/5. (Multiply by the reciprocal)
How many solutions does this equation have?
1 solution
No solution
x – 5 – (2 - x) =
- 3
o Infinite solutions
Explain your thinking.
Answer:
one soulution
Step-by-step explanation:
you have 5x 2x and 3x subtract 5 by 3 get 2 divide u get 1 I am not certain but it's an attempt
-2 - 12 please help me guys, thanks to the people who helped I also need a example on how you got the answer thanks.
Answer:
-14
Step-by-step explanation:
when you subtract a positive from a negative, it's just like adding
2+12=14
so
-2-12=-14
you just put a negative sign at the beginning of your answer
hope this helped!
What CANNOT be determined by the factors of a polynomial in factored form?
x-intercepts
solutions
degree of the
polynomial
y-intercept
Answer:Y intercept
Step-by-step explanation: THE OTHER GUY ANSWERED BUT SPELT IT WRONG
The factored form of a polynomial is a representation of the polynomial as a product of irreducible factors
The information that cannot be determined (directly) by the factors of a polynomial in factored form is the option;
y-intercept
Reason:
The factors of a polynomial are the smaller polynomials or expression that divides the polynomial having zero as the remainder
The solutions or x-intercept of a polynomial is given by the points where the value of a polynomial is zero, which is given by the x-values of a factor equated to zero The degree of a polynomial can be found by summing the powers of its factors
However, in the factored form, the y-intercept of the polynomial cannot be determined directly, because, the factored form has to be resolved with x = 0 to determine the y-intercept
Therefore;
The correct option is the y-interceptLearn more here;
https://brainly.com/question/18056389
At a grocery store , the price of pumpkins is determined by how many pounds the pumpkin weighs. The price of a 20.6 pound of pumpkin is $ 6.25. Write an equation that can be used to determine the price of any amount of bananas based on the number of pounds they weigh. Explain the process
Answer:
Step-by-step explanation:
sorry about my last text but the answer is you must divide 6.25 by 20.6 then find the equation that matches the answer.
3 = c/-11 Help me with this please.
Answer:
-33=c
Step-by-step explanation:
-11×3=c/-11×-11 which cancels out the -11 and c equals -33
PLEASE HELP ME!!!!!
Answer:
Non Proportional
Step-by-step explanation:
.99(2) = 1.96 1.96(2) = 3.92
That does go, therefore it's non proportional
Hope that makes sense !
