Answers
Answer:
Equation :
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
Step-by-step explanation:
To isolate the following matrix, we will have to divide either by matrix 1, or the co - efficient of the matrix shown below. By doing so we will have to take the inverse of the co - efficient of that same matrix on the other side. In other words,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}[/tex] - Matrix which we have to isolate,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}2&6\\ \:0&1\end{bmatrix}^{-1}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex] - Equation used to solve the matrix
Now as you can see this equation is not any of the given options. That is as we have to simplify it a bit further,
[tex]\begin{bmatrix}2&6\\ 0&1\end{bmatrix}^{-1} = \frac{1}{\det \begin{bmatrix}2&6\\ 0&1\end{bmatrix}}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \frac{1}{2}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \begin{bmatrix}\frac{1}{2}&-3\\ 0&1\end{bmatrix}[/tex]
We know that 1 / 2 can be replaced with 0.5, giving us the following equation to solve for x1 and x2,
[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]
As you can see our solution is option d.
Answer: d
Step-by-step explanation: on edge
Related Questions
Lisa buys a dozen apples and two oranges. Jeremy buys six apples. Oranges cost $1 each, and they spent $9 total. Which of the following shows how to define the variable in order to find the cost of the apples and oranges? A. cost of apples − a cost of oranges − O B. a + cost of apples O + cost of oranges C. a − cost of apples O − cost of oranges D. a = cost of apples O = cost of oranges
Answers
Answer:
D. a = cost of apples O = cost of oranges
Step-by-step explanation:
The only choice that actually shows a definition of the variables is choice D.
Which system of inequalities is represented by the graph? A. {y≥1y−x 0 C. {y≤1y−x 0
Answers
Answer:
y≤1
y−x>0
Step-by-step explanation:
I just took the quiz
A graph can be used to represent a system of inequality.
The system of inequality, the graph represents is:
[tex]y \ge 1[/tex] and [tex]y - x > 0[/tex]
The attached graph has two lines.
A thick horizontal lineA dotted slant lineThe thick horizontal line
Below this line, is a shaded region; and it passed through [tex]y = 1.[/tex]
This means that the horizontal line represents all values of y starting from 1.
So, the inequality is:
[tex]y \ge 1[/tex]
A dotted slanted line
First, calculate the slope of the line
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
The line passes through (0,0) and (1,1).
So, we have:
[tex]m =\frac{1-0}{1-0}[/tex]
[tex]m =1[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1(x - 0) + 0[/tex]
[tex]y = x + 0[/tex]
[tex]y = x[/tex]
The left part of the dotted line is shaded. This represents >.
So, we have:
[tex]y> x[/tex]
Subtract x from both sides
[tex]y - x > 0[/tex]
Hence, the system of inequality, the graph represents is:
[tex]y \ge 1[/tex]
[tex]y - x > 0[/tex]
Read more about system of inequalities at:
https://brainly.com/question/19526736
Solve.
x/8 - 5/2 =5/2
Answers
Answer:
x = 40
Step-by-step explanation:
x/8 - 5/2 =5/2
x/8 = 10/2
x/8 = 5
x = 40
Answer:
[tex]\Huge \boxed{x = 40}[/tex]
Step-by-step explanation:
x/8 - 5/2 = 5/2
Add 5/2 to both sides of the equation.
x/8 - 5/2 + 5/2 = 5/2 + 5/2
Simplify the equation.
x/8 = 10/2
x/8 = 5
Multiply both sides of the equation by 8.
(8)x/8 = (8)5
x = 40
factoring trinomials: 8)-2x2 + 8x + 10 *
Answers
Answer:
-2(x - 5)(x + 1)
Step-by-step explanation:
-2x² + 8x + 10
-2(x² - 4x - 5)
-2(x - 5)(x + 1)
Step-by-step explanation:
Hey, there!!
Let's do it simply, ok.
Given that,
[tex] = - 2 {x}^{2} + 8x + 10[/tex]
Take (-2) common to make it easy.
[tex] = -2( 2 {x}^{2} - 8x - 10)[/tex]
= -2{ x^2-(5-1)x -5}
Multily with x,
= -2 {x^2-5x+x-5}
Taking common,
= -2{x(x-5) +1(x-5)
= -2{(x+1)(x-5)}...is your required answer.
Hope it helps...
Pls help me and thank ya!!
Answers
Answer:
Option 1
Step-by-step explanation:
Rational numbers do not have infinite decimals.
Option 1:
-5, 3/4 and √49 are all rational. Correct
√49 = 7
3/4 = 0.75
-5 = -5
Option 2:
1/4 = 0.25
5 = 5
√12 = 3.4641...
Incorrect
Option 3:
-1/2 = -0.5
-3 = -3
√8 = 2.82841...
Incorrect
Option 4:
1/7 = 0.142857...
9 = 9
√11 = 3.31662...
Incorrect
A bicycle wheel has a diameter of 26 inches. How far will the wheel travel in one revolution? (C=π×d,π≈3.14) A. 8.164 in. B. 81.64 in. C. 816.4 in. D. 8164 in.
Answers
Answer:
81.64 inches.
Step-by-step explanation:
You're looking for circumference here.
d = diameter of the wheel
d = 26 inches.
Input your values:
C = π * d
C = 3.14 * d
C = 3.14 * 26 inches
C = 81.64 inches.
Answer:
C≈81.68 in. thus B is the answer (I used more digits for π).
Step-by-step explanation:
Formula C=2πr
3a - 2b - ab - (a-b+ab)+3ab+b-9
Answers
Answer:
2a +ab-9
Step-by-step explanation:
First, write out what you have:
3a-2b-ab-(a-b+ab)+3ab+b-9
Then, distribute the "-" to the "a-b+ab" inside the parenthesis:
3a-2b-ab-a+b-ab+3ab+b-9
Finally, combine like terms and simplify:
3a-a-2b+b+b-ab+3ab-ab-9
2a-2b+2b+3ab-2ab-9
2a+0+ab-9
2a+ab-9 is you equation fully simplified
Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.
Answers
Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.
(a) which variable is independent and which variable is dependent in this scenario?
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
Answer:
Step-by-step explanation:
From the given information:
(a) which variable is independent and which variable is dependent in this scenario?
An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.
A dependent variable is a variable where on variable is dependent on the other variable.
From the question given;
time (t) in minutes is the independent variable
Distance D from home is the dependent variable
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
We are being told that Evin starts 38 blocks from home,
Then she is just starting, i.e from rest
Then; at time t = 0 , she is 38 block distance from home
However, if she walks 2 blocks each minute,
then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.
If she walks for 5 minutes,
then she will be (38 - 2(5) ) blocks away from home
= 38 - 10
= 28 blocks away from home
If she walks for 10 minutes,
then she will be (38 -2(10)blocks away from home
= 38 - 20
= 18 blocks away from home.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks 38 36 28 18
6 1 pound is equal to 454 grams. How many grams are in 3.5 pounds?
Answers
Answer:
1587.57 grams
Step-by-step explanation:
1 pound = 453.592 grams.
so multipy that by 3.5
Determine the intercepts of the line. 2x+5y=-62x+5y=−62, x, plus, 5, y, equals, minus, 6 yyy-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis xxx-intercept: \Big((left parenthesis ,,comma \Big))right plz just give the Y and X intercepts
Answers
Answer:
y- intercept (0, -1.2)
x- intercept (-3, 0)
Step-by-step explanation:
Line is given:
2x + 5y = -6Y- intercept:
When x= 0
2*0 + 5y = -65y = -6y = -6/5y = -1.2Point is (0, -1.2)
X- intercept:
When y = 0
2x + 5*0 = -62x = -6x = -6/2x = -3Point is (-3, 0)
The function h(x)= 12x^8+49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd?
Answers
Answer:
A translation (9 units) to the left will result in a function that is neither even nor odd
Step-by-step explanation:
With horizontal translation to the left, we have;
h(x) = 12(x - 9)⁸ + 49
Which gives;
h(x) = 12(x - 9)⁸ + 49 = 12(x⁸ - 72x⁷ + 2268x⁶ - 40824x⁵ + 459270x⁴ -3306744x³ + 14880348x² - 38263752x + 43046721) + 49
For x = 1, we get;
h(x) = 201326641
When we replace x by -x, we get;
h(x) = 12(-x - 9)⁸ + 49 = 12(x⁸ + 72x⁷ + 2268x⁶ + 40824x⁵ + 459270x⁴ + 3306744x³ + 14880348x² + 38263752x + 43046721) + 49
For x = 1, we get;
h(x) = 1200000049
Therefore a translation 9 units to the left will result in a function that is neither even nor odd.
Which expressions are equivalent to − 6 + 3 ( 2 + ( − 4 t ) ) −6+3(2+(−4t))minus, 6, plus, 3, left parenthesis, 2, plus, left parenthesis, minus, 4, t, right parenthesis, right parenthesis ?
Answers
Answer:
-12tStep-by-step explanation:
Given the expression − 6 + 3 ( 2 + ( − 4 t ) ), to get the equivalent expression, the following steps must be followed;
Step 1: Multiply the signs inside the parenthesis
= − 6 + 3 ( 2 + ( − 4 t ) )
= -6+3(2-4t)
Step 2: Open up the parenthesis
= -6 + 3(2)+3(-4t)
= -6 + 6 - 12t
Step 3: Simplify the resulting expression by taking the diffrence between -6 and 6:
= 0 - 12t
= -12t
Hence the equivalent expression is -12t
Answer:
-12t
Step-by-step explanation:
a distribution has the five number summary shown below what is the range of this distribution?
24,36,42,57,65
Answers
Answer:
41.
Step-by-step explanation:
The range = highest - lowest value
= 65 - 24
= 41.
Answer:
Step-by-step explanation: use the calculatrr
Evaluate 7n+5 when n = 8
Answers
Answer:
61
Step-by-step explanation:
7n+5
Let n=8
7*8 +5
56+5
61
Answer:
[tex]\Huge \boxed{61}[/tex]
Step-by-step explanation:
[tex]7n+5 \\ \\ \\ n=8[/tex]
Replace n with 8.
[tex]7(8)+5[/tex]
Evaluate the expression.
[tex]56+5[/tex]
[tex]=61[/tex]
help me please o(*￣▽￣*)ブ(づ￣ 3￣)づ
Answers
Answer:
a) 24
b) Bowtown and Dovebury
c) 57
Resolva os seguintes exercícios sobre os Números racionais, a partir de situações problema: Para encher um álbum de figurinhas, Karina contribuiu com 1/6 das figurinhas, enquanto Cristina contribuiu com 3/4 das figurinhas. Com que fração das figurinhas as duas juntas contribuíram?
Answers
Answer:
11/12
Step-by-step explanation:
Nesta questão, estamos interessados em saber em que fração do álbum de figurinhas ambos contribuíram.
Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.
Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.
Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12
Calculate the time period of a pendulum if it
completes 46 oscillations in 20 seconds.
Answers
Answer:
0.44 seconds
Step-by-step explanation:
Time period is the time duration for completing one oscillation:
T = 20/46 ≈ 0.44 secondsAnswer is 0.44 seconds
Step-by-step explanation:
The Time period of pendulum (T) is
T=46/20
T=2.3s
Plz help!!!! Number 23
Answers
Answer:
(0 + m)/2, (0 + n)/2.
Step-by-step explanation:
The x coordinate of the midpoint must be halfway between the x coordinates of A and B, and the y coordinate must be found in the same way.
So the midpoint is (0 + m)/2, (0 + n)/2.
On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C? (Please add the EXPLANATION)
Answers
Answer:
We have to travel 26.93 units from platform B to C.
Step-by-step explanation:
Length of a segment having coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is determined by the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the graph attached,
Coordinates of the points B and C are (-25, -20) and (-15, 5) respectively.
Distance between these points B and C Or length of BC will be,
BC = [tex]\sqrt{(-25+15)^2+(-20-5)^2}[/tex]
= [tex]\sqrt{100+625}[/tex]
= [tex]\sqrt{725}[/tex]
= [tex]5\sqrt{29}[/tex]
= 26.93 units
Therefore, we have to travel 26.93 units from platform B to C.
Answer:
22.4 meters
Step-by-step explanation:
Because the distance and stuff I don't really know sorry
PLEASE HELP!! I WILL GIVE BRAINLIEST!!
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.
Answers
Hey There!!
∠ABC ≅ ∠DEC
∠DEC = ∠GEF
thus:
∠ABC = ∠GEF
∠GFE ≅ ∠DCE
∠DCE = ∠ACB
thus:
∠ACB = ∠GFE
If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
Thus: ΔABC ∼ ΔGEF by AA similar triangle postulate.
Hope It Helped!~ ♡
ItsNobody~ ☆
On his fishing trip Justin rides on hist 12 km south. The fish aren't biting so he changes location and goes 4 km west. What is Justin's displacement?
Answers
Answer:
Justin's displacement is 12.65 km.
Step-by-step explanation:
Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,
[tex]/Hyp/^{2}[/tex] = [tex]/Adj1/^{2}[/tex] + [tex]/Adj2/^{2}[/tex]
[tex]s^{2}[/tex] = [tex]/4/^{2}[/tex] + [tex]/12/^{2}[/tex]
= 16 + 144
[tex]s^{2}[/tex] = 160
⇒ s = [tex]\sqrt{160}[/tex]
= 12.6491
s ≅ 12.65 km
Justin's displacement is 12.65 km.
please help on how to get last few marks
Answers
Answer:
K = 12
Step-by-step explanation:
10 Cos 30° – 3 Tan 60°
The above expression can be simplified as follow:
10 Cos 30° – 3 Tan 60°
Recall:
Cos 30° = √3/2
Tan 60° = √3
Therefore,
10 Cos 30° – 3 Tan 60°
10 (√3/2) – 3(√3)
5√3 – 3√3
(5 – 3) √3
2√3
To write the above expression 2√3 in the form √K, we simply do the following:
2√3
Find a number, such that the square root of the number will result to 2. The number is 4 as shown below
√4 = 2
Next, replace 2 with √4 in the expression above
2√3
= √4 × √3
= √(4 × 3)
= √12
Therefore,
2√3 = √12
Comparing √12 with √K,
√12 = √K
K = 12
The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which statement best interprets the factor (r + 7) in this context
Answers
Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r. The statement means that the height of the cylindrical soup is 7 more than its radius.
Answer:
Step-by-step explanation:
the height of the cylendar is 7 units greater than the radaius
how to put this in a simple form 5*5*5*(-4)*(-4)*(-4)*(-4)*(-4) like i know how to put the 5 exponent of 3 but i don't know ow to do the (-4)
Answers
Answer:
5^3 and (-4)^2
Step-by-step explanation:
A^b means a is the base and b is the exponent
find the perimeter of a semi circle whose diameter is 21cm
Answers
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{16.485 \: cm}}}}[/tex]Step-by-step explanation:
Diameter ( d ) = 21 cm
Radius is just half of the diameter
Radius ( r ) = [tex] \sf{ \frac{21}{2} }[/tex] = 10.5 cm
Now, let's find the perimeter of a semi - circle :
[tex] \sf \frac{1}{2} \pi \: r \: [/tex]
Plug the values
⇒[tex] \sf{ \frac{1}{2} \times 3.14 \times 10.5}[/tex]
Calculate
⇒[tex] \sf{16.485 \: cm}[/tex]
Hope I helped!
Best regards!
2.1.3
Some questions allow you to choose several correct answers from a list of possible answers.
Click the square near each correct choice to fill it in. Be sure to mark all correct answers.
Which of the following mathematical statements are true? Select all that apply.
A. 1.2 = 2
B. 1.1=1
C. 1+2 = 2
DD. 2-2=1
E. 1+1=2
Answers
Answer:
a and e jfdjjxjccjddjdjdjdjdjjdjdidie
A jar contains 12 caramels, 7 mints and 16 dark chocolates. The probability of selecting a dark chocolate, eating it, and then a selecting a caramel is the setup. What is the probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.
Answers
Answer:
6/17
Step-by-step explanation:
Given the following :
Number of caramel = 12
Number of dark chocolate = 16
Number of mint = 7
probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.
After eating means : picking without replacement.
Probability = (Number of required outcomes / total possible outcomes)
Total number of items = ( 7 + 12 + 16) = 35
After first picking a dark chocolate and eating it, total number of items left in the jar becomes:
(35 - 1) = 34
Then,
P(picking a caramel) = (number of caramels / total number of items)
P(picking a caramel) = 12 / 34 = 6/17
Can someone explain how to do these kind of problems in the most understandable way please I am struggling to learn it thank you.
Answers
Answer:
Angle= 135°
Step-by-step explanation:
FUZ CIA
Corresponding angles are equal
I just started 8th grade and I want to know if my answer is right.
Where the “I” is do I move 2 units down?
Answers
Answer:
Yes, you have to move because 1 square is one unit.
What is the slope of the line?
4
m =
21
1
х
-4
-2
2
4
-2
-4
Answers
Answer:
Slope = 1/4
Step-by-step explanation:
Slope = rise/ run
=> slope= 1 = rise / 4 = run
=> Slope = 1/4