Find 2a-3b as a column vector
Answer:
(-9, 14)
Step-by-step explanation:
Let the column vector be represented as a = (3, 4) and b = (5, -2)
2a = 2(3,4)
2a = (6,8)
3b = 3(5, -2)
3b = (15, -6)
Take the difference 2a - 3b
2a - 3b = (6,8) - (15, -6)
2a - 3b = (6-15, 8 -(-6))
2a - 3b = (-9, 14)
Hence the column vector is (-9, 14)
We want to find 2a - 3b as a column vector, we will get:
[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
So we want to perform a sum (difference actually) of vectors, we have that:
[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]
Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:
[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]
Now we just perform the direct difference:
[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]
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ANSWER THE QUESTION FOR BRAINLIEST
Answer:
not a straight line
Step-by-step explanation:
Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.
Nonlinear means "not like a straight line".
Answer: not a straight line
Solve this equation involving decimals:
8.4 + 0.18x = 0.32x
Answer
hoi
Step-by-step explanation:
hi
Answer:
C) x = 60
Step-by-step explanation:
What will be the coordinates of the point K' if the point K(-5,4) is translated 3 units down?
Answer:
(-5,1)
Step-by-step explanation:
Because if you graph the point and move it 3 units down then that is your awnser.
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
A,B,D
Step-by-step explanation:
PLEASE HELP ASAP 20 POINTS AND BRAINLIEST IF RIGHT!
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
A.) 3
B.) Square root of 21
C.) Square root of 29
D.) 7
.
In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible
A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.
B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.
C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.
D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
which expression is equivalent to 30x + 15y
Group of answer choices
5(6x + 15y)
x(30 +15y)
3(10x + 5y)
2(28x+13y)
Answer:
The right answer is 3*(10x+5y)
Which equation below is decreasing across all real numbers ?
A. y=2(1/4)^x
B. y=1/3(5)^x
C. y=3x-5
D. y=3(5)^x
Answer:
A
Step-by-step explanation:
All the other exponential equations have a base greater than 1 except A and c is a linear equation with positive slope
teacher was comparing two sets of quis scores shown below.
Quiz Scores
Quiz 1
70
Quiz 2
75
82
91
85
87
%一一一一
74
77
What reasonable conclusion can be drawn from the data?
The mean of Quiz 1 scores is greater than the mean of Quiz 2 scores, but the variability is the same.
The mean of Quiz 2 scores is greater than the mean of Quiz 1 scores, but the variability is the same
The variability of Quiz 1 scores is greater than the variability of Quiz 2 scores, but the mean is the same.
The variability of Quiz 2 scores is greater than the variability of Quiz 1 scores, but the mean is the same.
Jjjj
giving brainliest !! *easy*
Answer:
64
Step-by-step explanation:
. If the point (20, M) is on the graph, what is the value of M?
Answer:
40
Step-by-step explanation:
Slope is 2, y intercept 0
y= 2x
y= 2(20)
y= 40
32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?
Answer:
$211.916
Step-by-step explanation:
Apples cost $1.99 per pound.
How much do 3.25 pounds of apples cost?
Answer:
$6.47
Step-by-step explanation:
set up a ratio
[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]
cross multiply
6.47=x
The _____ of a _____ can be found by dividing the area of the whole circle by ______.
Answer:
The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths.
Step-by-step explanation:
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
Please help me solve this! also this is proportions by parts
Answer:
dat easy
Step-by-step explanation:
Find the whole amount of 8% of 72 cm
Answer:
5.76
Step-by-step explanation:
Answer:
5.76 cm
Step-by-step explanation:
8% * 72 = 5.76 cm
is it pp PP pP or coc
Answer:
its Pp or it could also be nonexistent
Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms
Answer:
1090908 rooms
Step-by-step explanation:
calculator
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms
Question 6 of 10
Which equation has the least steep graph?
O A. y=-x-9
O B. y=-7x-2
O c. y = 2x + 1
O D. y= x+6
SUBMIT
y= -1/4x+6 equation has the least steep of the slope of the graph. So, the correct option is D.
What is Graph?A graph is a framework made up of a number of things, some of which are paired together to form "related" objects. The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Bar, line, histogram, and pie charts are the four fundamental types of graphs used in statistics. Equation of a line in standard form: y=mx+c, where m is the slope and c is the y-intercept
We can identify the equation with least steep graph since we are aware of the slope for all equations.
We determine the slope's lowest value, m, to determine which graph is the least steep.
Because of this, y= -1/4x+6
Therefore, the correct option is D.
Learn more about Graph, here:
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Your question is incomplete, most probably the complete question is :
Which equation has the least steep graph?
O A. y=-x-9
O B. y=-7x-2
O C. y = 2x + 1
O D. y= -1/4x+6
Which of the following statements is true?
A
When determining the most frequently chosen item, use mean.
B
When the data are not numerical, use mode.
C
When the data have no outliers, use median.
D
When an outlier may significantly influence the mean, use mode.
Answer:
C
Step-by-step explanation:
The answer is C.
What is the next value?
1 I 2 L 3 F 4
Answer:
4E
Step-by-step explanation:
Heyyy...need ur help...again cause I'm uneducated
Answer:
c
Step-by-step explanation:
Answer:
A and D
That is the answer.
Select the three equivalent expressions
Step-by-step explanation:
4(2h + g)
4h + 4h +3g + g
2(4h + 2g)
8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.
9514 1404 393
Answer:
both cost $13 each
Step-by-step explanation:
Let p and a represent the costs of pecan and apple cheesecakes, respectively.
3p +7a = 130 . . . . . . Lisa's sale
12p +14a = 338 . . . . Jasmine's sale
Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.
Subtracting twice the first equation from the second eliminates 'a'.
(12p +14a) -2(3p +7a) = (338) -2(130)
6p = 78 . . . . . simplify
p = 13 . . . . . . .divide by 6
Substituting into the first equation gives ...
3(13) +7a = 130
7a = 91 . . . . . . . subtract 39
a = 13 . . . . . . . . divide by 7
The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.
__
A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.
which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
5 + x = 7.5 what is x?
Answer:
2.5
Step-by-step explanation:
Answer:
5 + x = 7.5
x = 7.5 - 5
x = 2.5
Step-by-step explanation:
•°•°•°•°•°•°•°•°•
pls I need assistance with this I promise brainiest
1. (-4)*(-3)*(+2)/(-6)*(-4)
2. -8*(-11)*9*(-5)/2*(-33)*(-3)
Answer:
1) 16
2) -196020
Step-by-step explanation:
simple answer using DMAS rule
D = Division
M = Multiplication
A = Addition
S = Subtraction
