Answers
Hey there! I'm happy to help!
-----------------------------------------------------------------------------------------
QUESTION 18
Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]
Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.
[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]
So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].
-----------------------------------------------------------------------------------------
QUESTION 14
We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.
[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]
We subtract [tex]\frac{x^2}{25}[/tex] from both sides.
[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]
We multiply both sides by 16.
[tex]y^2=1-\frac{x^2}{25}*16[/tex]
We square root both sides.
[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]
We can take a four out of our root (because 16 is a perfect square so it can be simplified more).
y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]
And we take out 1/5 (which is the square root of 1/25).
y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]
-----------------------------------------------------------------------------------------
QUESTION 17
We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.
From now on, they will be winning 2/3 of their games. Let's look at the answer options.
A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.
B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.
C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.
D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.
-----------------------------------------------------------------------------------------
QUESTION 16
Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.
This eliminates answer choices B and D as they do not have the equal part on the inequality.
Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.
So, our final answer is A.
-----------------------------------------------------------------------------------------
QUESTION 12
You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:
2×2 times 2×1 YES
2×1 times 2×2= NO
3×3 times 3×1= YES
3×1 times 3×3= NO
-----------------------------------------------------------------------------------------
Have a wonderful day and keep on learning! :D
Related Questions
The set S = {x\-4 Plz help ASAP
Answers
Answer:
[ - 4, 8 ]
Step-by-step explanation:
parenthesis ( ) is used when end values are not equal to x
brackets [ ] are used when the end values are equal to x
For - 4 ≤ x ≤ 8
Then x can equal both - 4 and 8 , so
[ - 4, 8 ] ← is the appropriate interval notation
12a+5b-3c, 6c-5a+8b, -8b+5c-7a
Answers
Answer:
11c-12a
Step-by-step explanation
Combine like terms
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answers
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks
Answers
18*5 =90
300-90= 210
Answer:
$210
Step-by-step explanation:
$300 - (5 x 18)
= 300 - 90
= $210
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answers
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ5
The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.
Answers
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The equation for line y1 is 3x - 4 The slope is the coefficient of x, which is 3. That means the slope of line y2 is -1/3, because it's the negative reciprocal. As for the y-intercept, just look for the point on the y-axis that the line intercepts. If we look closely, we can see it intercepts point (0,4) on the y-axis. Therefore, the slope-intercept form equation for line y2 is: y = -1/3x + 4.
Answer:
y=5-x/3
Step-by-step explanation:
y more than 2 decreased by 8
Answers
Answer:
( y + 2 ) - 8
hope that helps uh..☺
I neeed Help it easy
Answers
y = 1.5x – 4.5
or
y = 3/2 - 9/2
Slope (m) = ΔY/ΔX= 3/2= 1.5
m= 1.5
Solve for y. Simplify your answer as much as possible.
4=64/y
Answers
Answer:
y=16
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Re-order terms so that constants are on the left
Divide both sides of the equation by the same term
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
Answer:
y is 16
Step-by-step explanation:
[tex]4 = \frac{64}{y} [/tex]
but 64 is 4³:
[tex]4 = \frac{ {4}^{3} }{y} [/tex]
make y the subject:
[tex]y = \frac{ {4}^{3} }{4} [/tex]
from law of indices:
[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answers
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18
What is an Equation that m=2
Answers
Answer:
5+5m=15
Step-by-step explanation:
m=slope
Straight line
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answers
Answer:
[tex] \frac{ - 31}{70} [/tex]Step-by-step explanation:
[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]
[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]
[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]
[tex] = \frac{57 - 88}{70} [/tex]
[tex] = \frac{ - 31}{70} (ans)[/tex]
solve the equation
4(2^m+1)-16^m=0
Answers
That’s the answer
[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]
[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]
take 4common[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]
[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]
[tex]\\ \rm\longmapsto 2^m=4^m[/tex]
[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]
[tex]\\ \rm\longmapsto 2^m=m[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]
cosA_1+sin1 + 1+sinA_cosA=2secA
Answers
Step-by-step explanation:
all steps are done in the picture
what is an expression for...
4x + 4x + 4x + 4x + 4x + 4x
Answers
Answer:
24x
Step-by-step explanation:
4x + 4x + 4x + 4x + 4x + 4x
=> 4(x + x + x + x + x + x)
=> 4(6x)
=> 24x
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answers
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW
I need answers asap!!!!!!!
Answers
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
What is 10 x 0.018?
0.18
1.8
18
180
Answers
Answer:
0.18
Step-by-step explanation:
hope this helps
Answer:
0.18
Step-by-step explanation:
multiply them together
Date: / ot of so from the tind the value proportion:x: 35:98:60. 2
Answers
Answer:
jsjsjsjjejejejsjsisj
sjjsjskzij
Step-by-step explanation:
gwhshs
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20y - 16x = 120
Answer:
15
2
Submit Answer
PLS HEP ASAP
Answers
alright I can help!!
so slope intercept form is y= mx +b
20y=16x+120
y=(16x+120)/20
final answer: y=(4/5)x +6
Squere root of 23 is between which two consecutive integers ?
Answers
Answer:
4 and 5
Step-by-step explanation:
4^2 = 16
5^2 = 25
А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score
Answers
Answer:
24.54°Step-by-step explanation:
The three segments make a triangle with sides 6, 7 and 12 m.
We need to find the angle opposite to side 7 m.
Use the low of cosines to work out the angle x:
cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)write each fraction number as a decimal 2 1/8
Answers
Answer:
2 1/8 as a decimal is 2.125
Step-by-step explanation:
Answer:
2.125
Step-by-step explanation:
To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.
Someone help please
1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees
Answers
Answer:
A
Step-by-step explanation:
This uses the sine law.
Sin(theta)/113 = sin(42)/120 Multiply both sides by 113
sin(theta) = 113*sin(42)/120
sin42 = 0.6691
sin(theta) = 113 * 0.6691 / 120
sin(theta) = 0.630008
theta = sin-1(0.63008)
theta = 39.1 Looks Like A
Estimate the value of 13−−√. Between which two whole numbers?
Answers
Answer:
Step-by-step explanation:
I guess you mean √13.
3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.
3.5^2 = 3*4 + 0.25 = 12.25 so it looks like its about 3.6.
2.8 2.08 and 2.008 in order
Answers
Answer:
2.008, 2.08, 2.8
Step-by-step explanation:
You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8
Thousandths are least than the hundredths and the hundredths are least than the tenths. Just remember that!
Help please and thank you (Algebra 1)
Answers
Answer:
17x² - 22x - 2
Step-by-step explanation:
Given
(5x² + 6x - 2) + 4x(3x - 7) ← distribute parenthesis
= 5x² + 6x - 2 + 12x² - 28x ← collect like terms
= 17x² - 22x - 2
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answers
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?
Answers
Answer:
well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6
Step-by-step explanation:
so just add 4.2 or 5.6 to hours and you will get you question at what time he left
CORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).
Answers
Answer: Choice C. f(x) and g(x) have a common x intercept.
Explanation:
The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.
The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.
This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.
