The expression of v = (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0) is [tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]
Linear CombinationsTo express v= (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0), it will be written as:
[tex](2,1,5)=x(1,2,1)+y(1,0,2)+z(1,1,0)[/tex]
This will yield the following equations:
x + y + z = 2........(1)
2x + z = 1..........(2)
x + 2y = 5........(3)
The solution to the system of equations above is:
x = 1, y = 2, z = -1
Therefore, the linear combination is:
[tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]
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.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
Please I need help asap Which graph represents a scatter plot with a nonlinear negative association?
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Answer it like this
1: answer here
2: answer here
Make sure you round both to the nearest tenth
1.) Radius = 6.5 ft.
2.) Diameter = 14 in.
Radius = 7 in.
How to do two step equations?
Answer:1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.
( 0) + ( -8) + (+4) =
( 0) + ( -3) + ( -4) =
Answer:
1. -4
2. -7
(don't quote the 0)
Answer:
1) -4
2) -7
Step-by-step explanation:
1) 0 + (-8) + 4 =
0 - 8 + 4 =
-8 + 4 =
= -4
2) 0 + (-3) + (-4) =
0 - 3 - 4 =
= -7
What is the perimeter of the shape below, given a = 5.66, b = 13.75, c = 6.76, d = 4.59
Answer:
61.52
Step-by-step explanation:
5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59
Answer:
61.52
Step-by-step explanation:
Given the values, you can solve for the remaining sides.
a + c will equal the side on the right and b + d will equal the side at the top.
So 2(a+c) + 2(b+d) will give the perimeter.
2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52
please helppp
Simplify.
(-2)^-3
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
What is the unit fraction for each part?
600 at 4% for 9 months
Answer:
Monthly payment-$67.78
Step-by-step explanation:
I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.
-7x + 12x – 6 = 9
how do i solve this and awnser?
Step-by-step explanation:
3 is the answer
-7x+12x-6=9
when -6 goes to other side it becomes +6
-7x+12x=9+6
5x=15
when 5x which means 5 multiplied to x . When 5 goes other side it becomes division
x=15÷5=3
x=3
3(5y + 3) = 39
Please help
Me solve it
Answer:
2
Step-by-step explanation:
3(5y+3) = 39
15y+9 = 39
15y=30
y=2
A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized section is 5 feet longer than the shortest. Complete the diagram
by giving a and b as expressions involving x. Do not solve the problem.
P = 40 ft
12
X
b
21
X
P
1
a
Length of
middle-sized
Length of
shortest
section
Length of
longest
section
section
Answer:
P=40
a + b + x = P
a = 3x
b = x + 5
substitute for b & y
3x + (x+5) + x = 40
Step-by-step explanation:
longest section 1 = a
mid length section 2 = b
shortest section 3 = x
P=40
a + b + x = P
a = 3x
b = x + 5
substitute for b & y
3x + (x+5) + x = 40
5x + 5 = 40
5x = 35
x = 7
b = 12
a = 21
Answer and solution and thank you for answer
Answer:
C is the answer not sure
Step-by-step explanation:
Fourteen soccer players want to share nine protein bars after the game. What
fraction of a protein bar will each player get?
Answer:
9/14
Step-by-step explanation:
sorry if im wrong...
Select the correct answer. What is the solution to the equation?
Answer:
I think there is no solution to this problem
Step-by-step explanation:
Answer:
c because 3x3 is 9 and 3 plus 9 is 12
Step-by-step explanation:
MATH HELP ME NOWWWWWWWWWWWWWWWWWWWWWWWWWWW
Step-by-step explanation:
I've shown the process in the above picture .
hope this helps
Find the common ratior for the geometric sequence and user to find the next three terms.
243, 162, 108, 72, ...
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
mom this u?
Factor the following expression so it is in simplest form.
6a – 4(2a + 3)
A.
–2(a – 6)
B.
–2(a + 6)
C.
2(7a – 6)
D.
2(7a + 6)
Factorization of the given algebraic expression in its' simplest form is; B.–2(a + 6)
How to factorize an Algebraic Expression?To factorize an algebraic expression, it means that the highest common factors of the terms of the specific algebraic expression are determined and then we group the terms accordingly.
We are given the algebraic expression as;
6a – 4(2a + 3)
Multiplying the bracket out gives us;
6a - 4(2a) - 4(3)
= 6a - 8a - 12
= -2a - 12
Now, the highest common factor of the expression is 2 and so we have;
-2(a + 6)
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Asking for a friend please help
Answer:
=1/15
Step-by-step explanation:
I need help please quickly!!
Answer:
37.68
Step-by-step explanation:
A= 3.14 x 4 x 4 = 50.24
50.24 ÷ 4 = 12.56
12.56 x 3 = 37.68
Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?
Answer:
5 nickels
10 dimes
5 quarters
Step-by-step explanation:
n = number of nickels
d = number of dimes
q = number of quarters
q = n
d = 2n
0.05n + 0.10d + 0.25q = 2.50
substitute
0.05n + 0.10(2n) + 0.25(n) = 2.50
0.05n + 0.20d + 0.25n = 2.50
0.50n = 2.50
n = 5
d = 10
q = 5
which is the correct description of how to find the volume of a cylinder
Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Step-by-step explanation:
Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)
It's 8x + 16y/2 + 4x - 4y :))
Answer:
8x+4y
Step-by-step explanation:
Distribute:
=4x+8y+(4)(x)+(4)(−y)
=4x+8y+4x+−4y
Combine Like Terms:
=4x+8y+4x+−4y
=(4x+4x)+(8y+−4y)
=8x+4y
Answer:
=8x+4y
I hope I helped!!
4x^2-19x-5=0
Solve by factoring
Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *
SLOPE INTERCEPT FORM: y = 7x −23
PLEASE HELP DUE TODAY WILL GIVE BRAINLIEST TO CORRECT ANSWER
After a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?
Step-by-step explanation:
the answer is 16.8 :)hope this helps
Answer: 30 :) have a nice day!!!
R(-9,4) and S(2,-1); Find T
Answer:
The question doesn’t state what T represents, so I will assume T is one of two points:
1. The midpoint of R and S, or
2. S is the midpoint of RT.
1. T((-9+2)/2,(4-1)/2)=T(-7/2,3/2)
2. T(x,y): S(2,-1)=((-9+x)/2,(4+y)/2); 2=(-9+x)/2, 4=-9+x, x=13; (4+y)/2=-1, 4+y=-2, y=-6. T(13,-6)
express (4+7i)(2-i) in the form a+ib
(4+7i)(2-i)
multiply it out
8-4i +14i -7i squared
i squared is the same as -1
8-4i+14i-7(-1)
8+7-4i+14i
15+10i
divide by common factor which is 5 in this case
3+2i
Can someone help me?
Answer:
Step-by-step explanation:
5y-7=5d+3y
we will subtract 3y from both sides
5y-3y-7=5d
we will add 7 on both sides
2y=5d+7
we divide by 2
y=(5d+7)/2
or
y=5d/2+7/2