Answers
Answer: [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]
[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]
[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]
[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Related Questions
(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =
Answers
Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
Jackson and Derek have a lemonade stand. They sell lemonade
Answers
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
Answers
Answer:
14.99 ounces
Step-by-step explanation:
First, find the weight of the 2 cereal bags combined:
16.03 + 18.98
= 35.01
Subtract this from 50 to find the weight of the box, since 50 ounces is the combined weight of the box and the 2 cereal bags
50 - 35.01
= 14.99
So, the box weights 14.99 ounces
Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.
Answers
Answer:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Step-by-step explanation:
We are given the equation:
[tex]-2x^2-6x+3=0[/tex]
And we want to solve it using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients.
The a is the coefficient in front of the x² term, so a = -2.
b is the coefficient in from of the x term, so b = -6.
And c is the constant so c = 3.
Substitute:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]
Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:
[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]
Add:
[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]
Simplify the square root:
[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]
So:
[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]
Simplify by dividing everything by 2:
[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]
Move the negative in the denominator to the numerator. The plus/minus sign will not change.
[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]
So, our zeros are:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Write each number as a product of primes 1. 120 2. 160
Answers
Answer:
120=2*2*2*3*5
160=2*2*2*2*2*5
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
1. 120 = 12 * 10
= 2*2*3*2*5
= 2*2*2*3*5
2. 160 = 10 * 16
= 2*5*2*2*2*2
= 2*2*2*2*2*5
The telephone company offers two billing plans for local calls. Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Answers
Step-by-step explanation:
Answer in image below press on it
Amtrail trains provide efficient, nonstop transportation between Los Angeles and San Diego. Train A leaves Los Angeles headed toward San Diego at the same time that Train B leaves San Diego headed for Los Angeles, traveling on parallel tracks. Train A travels at a constant speed of 84 miles per hour. Train B travels at a constant speed of 92 miles per hour. The two stations are 132 miles apart. How long after they leave their respective stations do the trains meet
Answers
Answer:
0.75 hour or 45 mins
Step-by-step explanation:
From the question, we are told that:
Speed of Train A = 84 miles per hour. Speed of Train B = 92 miles per hour.
Total speed travelled by both trains =
84mph + 92mph
= 176 mph
The distance between the two stations = 132 miles.
We are asked in the question to: find out how long after they leave their respective stations do the trains meet.
This means we should calculate the time
Time = Distance/ Speed
= 132 miles/176 miles per hour
= 0.75 hour
We can convert to minutes if we like
1 hour = 60 minutes
0.75 hour =
0.75 hour × 60 minutes/ 1 hour
= 45 minutes
Therefore, the trains meet after 0.75 hour or 45 minutes after they have left their respective stations.
E
On a number line, suppose the coordinate of Ais 0, and AR = 15. What are the possible coordinates of the midpoint of AR?
Answers
Given :
On a number line, suppose the coordinate of A is 0, and AR = 15.
To Find :
the possible coordinates of the midpoint of AR.
Solution :
Their can be two points R which is at a distance of 15 units from the A .
One is -15 and other is 15.
Now, mid-point of A(0) and R(-15) is M (-7/2).
Also, mid-point of A(0) and R(15) is M (7/2).
Therefore, possible coordinates of the midpoint of AR is 7/2 , -7/2.
Hence, this is the required solution.
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
Answers
Is the study experimental or observational? A sample of fish is taken from a lake and each fish is weighed to measure the effect of pollution from a nearby factory on the fish. This group is then compared to another group taken from a lake in the same county in a state park where no businesses or houses are near the lake.
Answers
Answer:
For me I think it is observational
Step-by-step explanation:
Observation is the action or process of closing observing or monitoring something or someone while
Experimenting is to perform a scientific procedure, especially in a laboratory to determine something
So from the two definition I think the answer is observation
Find all values if x , where |x| = 14
Answers
Answer: x=-14, x=14
Step-by-step explanation:
The absolute value makes all the values turn from negative to positive. With absolute value, you will not have a negative response. Therefore, x=-14 and x=14.
On the map, the school and the sports park are 12 centimeters apart.
What is the actual distance between the school and the park?
Answers
Answer:
15 kmStep-by-step explanation:
On the map, the school and the sports park are 12 centimeters apart.
scale 4cm : 5km
find;
What is the actual distance between the school and the park?
solution:
12 cm = 4 cm
X km 5 km
cross multiply:
4 cm X km = 12 cm (5 km)
X = 12 cm (5 km)
4 cm
X = 15 km
therefore, the distance between the school and the sports park is 15 km
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Answers
Answer:
Maggie is 13 years old.
Step-by-step explanation:
Maggie's age is: x
Maggie's brother's age is: 2x - 3
The sum of the ages = 36
x + 2x - 3 = 36
3x - 3 = 36
3x = 39
x = 13
Answer: Maggie is 13 years old.
The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?
Answers
Answer:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that The Booster Club has a goal of raising at least $300.
The Club has already raised $175
The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.
175+3t≥300
One hundred seventy five plus three times t greater than or equal to three hundred.
We have used greater than or equal to in inequality because in data given atleast.
Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
To learn more on Inequality click:
https://brainly.com/question/28823603
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3.88 milligrams is equal to how many centigrams?
-0.0388 centigrams
-0.388 centigrams
-38.8 centigrams
-388 centigrams
Answers
Answer:
B
0.388 centigrams :)
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answers
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
51988 rounded to the nearest ten thousand
Answers
Answer:
Your answer would be 52,000
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
Answers
The answer is zero
-n+n=0 Always
Explanation :
The sum of any integer and its opposite is equal to zero.
Find the difference of -4 -(5)
Answers
answer ASAP pic below
Answers
Last part
F=kr Solve for k I'm lost please help
Answers
Answer:
F /r = k
Step-by-step explanation:
F=kr
Divide each side by r
F/r=kr/r
F /r = k
Need help ASAP thanks
Answers
Answer:
total cost of all seats : 61,940
Mean : 398
Median : 280 320 400 540 850
mode: no mode
I think this is right.
What is 4 divided by 6
Answers
Answer:
0.666
Step-by-step explanation:
Answer: 0.6667
Shouldnt the 6 be divided by 4? If it is its 1.5
Step-by-step explanation:
A box is 21 centimeters tall. How tall would the box measure in meters?
Answers
Answer:
0.21
Step-by-step explanation:
divide the length value by 100 21 centimeters in meters is 0.21
Answer:
0.21 its the k12 test.
Step-by-step explanation:
Help ASAP pllllllllllsssssssssssssssssss
Answers
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answers
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
Answers
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
learn more about slope here :
https://brainly.com/question/3605446
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(1+3d)9
Can someone help me find the distribute this
Answers
Answer:
D = 5
Step-by-step explanation:
1 plus 3 equals 4 plus 5 equals 9
I believe this is correct
Find the sum ( u2-6uv+5v2)+3u2+2uv
Answers
Answer:
4u2−4uv+5v2
Explanation:
Answer:
u2-6uv +5v2 +3u2+ 2uv
= 4u2 -4uv +5v2
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Answers
Answer:
357,340
Step-by-step explanation:
Locate the tens place:
357,335
Check the number to the right:
357,335
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
The number next to the tens place is a '5'. We round up.
357,335 ≈ 357,340
Hope this helps.
Answer:
357340
Step-by-step explanation: